Properties

Label 35T29
Degree 3535
Order 33603360
Cyclic no
Abelian no
Solvable no
Primitive no
pp-group no
Group: F5×GL(3,2)F_5\times \GL(3,2)

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Copy content magma:G := TransitiveGroup(35, 29);
 

Group invariants

Abstract group:  F5×GL(3,2)F_5\times \GL(3,2)
Copy content magma:IdentifyGroup(G);
 
Order:  3360=253573360=2^{5} \cdot 3 \cdot 5 \cdot 7
Copy content magma:Order(G);
 
Cyclic:  no
Copy content magma:IsCyclic(G);
 
Abelian:  no
Copy content magma:IsAbelian(G);
 
Solvable:  no
Copy content magma:IsSolvable(G);
 
Nilpotency class:   not nilpotent
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Group action invariants

Degree nn:  3535
Copy content magma:t, n := TransitiveGroupIdentification(G); n;
 
Transitive number tt:  2929
Copy content magma:t, n := TransitiveGroupIdentification(G); t;
 
Parity:  1-1
Copy content magma:IsEven(G);
 
Primitive:  no
Copy content magma:IsPrimitive(G);
 
#Aut(F/K)\card{\Aut(F/K)}:  11
Copy content magma:Order(Centralizer(SymmetricGroup(n), G));
 
Generators:  (1,30,32,23,6,20,12,3,26,35,22,8,16,15,2,28,31,25,7,18,11,5,27,33,21,10,17,13)(4,29,34,24,9,19,14)(1,30,32,23,6,20,12,3,26,35,22,8,16,15,2,28,31,25,7,18,11,5,27,33,21,10,17,13)(4,29,34,24,9,19,14), (1,7,35,24)(2,10,34,21)(3,8,33,23)(4,6,32,25)(5,9,31,22)(11,12,15,14)(16,27,20,29)(17,30,19,26)(18,28)(1,7,35,24)(2,10,34,21)(3,8,33,23)(4,6,32,25)(5,9,31,22)(11,12,15,14)(16,27,20,29)(17,30,19,26)(18,28)
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Low degree resolvents

#(G/N)\card{(G/N)}Galois groups for stem field(s)
22C2C_2
44C4C_4
2020F5F_5
168168GL(3,2)\GL(3,2)
33633614T17
67267228T86

Resolvents shown for degrees 47\leq 47

Subfields

Degree 5: F5F_5

Degree 7: GL(3,2)\GL(3,2)

Low degree siblings

35T29, 40T2719

Siblings are shown with degree 47\leq 47

A number field with this Galois group has exactly one arithmetically equivalent field.

Conjugacy classes

LabelCycle TypeSizeOrderIndexRepresentative
1A 1351^{35} 11 11 00 ()()
2A 214,172^{14},1^{7} 55 22 1414 (1,5)(2,4)(6,10)(7,9)(11,15)(12,14)(16,20)(17,19)(21,25)(22,24)(26,30)(27,29)(31,35)(32,34)( 1, 5)( 2, 4)( 6,10)( 7, 9)(11,15)(12,14)(16,20)(17,19)(21,25)(22,24)(26,30)(27,29)(31,35)(32,34)
2B 210,1152^{10},1^{15} 2121 22 1010 (1,6)(2,7)(3,8)(4,9)(5,10)(11,26)(12,27)(13,28)(14,29)(15,30)( 1, 6)( 2, 7)( 3, 8)( 4, 9)( 5,10)(11,26)(12,27)(13,28)(14,29)(15,30)
2C 216,132^{16},1^{3} 105105 22 1616 (1,3)(4,5)(6,8)(9,10)(11,28)(12,27)(13,26)(14,30)(15,29)(16,18)(19,20)(21,33)(22,32)(23,31)(24,35)(25,34)( 1, 3)( 4, 5)( 6, 8)( 9,10)(11,28)(12,27)(13,26)(14,30)(15,29)(16,18)(19,20)(21,33)(22,32)(23,31)(24,35)(25,34)
3A 310,153^{10},1^{5} 5656 33 2020 (1,31,11)(2,32,12)(3,33,13)(4,34,14)(5,35,15)(6,21,26)(7,22,27)(8,23,28)(9,24,29)(10,25,30)( 1,31,11)( 2,32,12)( 3,33,13)( 4,34,14)( 5,35,15)( 6,21,26)( 7,22,27)( 8,23,28)( 9,24,29)(10,25,30)
4A1 47,174^{7},1^{7} 55 44 2121 (1,4,5,2)(6,9,10,7)(11,14,15,12)(16,19,20,17)(21,24,25,22)(26,29,30,27)(31,34,35,32)( 1, 4, 5, 2)( 6, 9,10, 7)(11,14,15,12)(16,19,20,17)(21,24,25,22)(26,29,30,27)(31,34,35,32)
4A-1 47,174^{7},1^{7} 55 44 2121 (1,2,5,4)(6,7,10,9)(11,12,15,14)(16,17,20,19)(21,22,25,24)(26,27,30,29)(31,32,35,34)( 1, 2, 5, 4)( 6, 7,10, 9)(11,12,15,14)(16,17,20,19)(21,22,25,24)(26,27,30,29)(31,32,35,34)
4B 45,25,154^{5},2^{5},1^{5} 4242 44 2020 (1,11,6,26)(2,12,7,27)(3,13,8,28)(4,14,9,29)(5,15,10,30)(21,31)(22,32)(23,33)(24,34)(25,35)( 1,11, 6,26)( 2,12, 7,27)( 3,13, 8,28)( 4,14, 9,29)( 5,15,10,30)(21,31)(22,32)(23,33)(24,34)(25,35)
4C1 47,22,134^{7},2^{2},1^{3} 105105 44 2323 (1,21)(2,24,5,23)(3,22,4,25)(6,31)(7,34,10,33)(8,32,9,35)(12,14,15,13)(17,19,20,18)(27,29,30,28)( 1,21)( 2,24, 5,23)( 3,22, 4,25)( 6,31)( 7,34,10,33)( 8,32, 9,35)(12,14,15,13)(17,19,20,18)(27,29,30,28)
4C-1 47,22,134^{7},2^{2},1^{3} 105105 44 2323 (1,21)(2,23,5,24)(3,25,4,22)(6,31)(7,33,10,34)(8,35,9,32)(12,13,15,14)(17,18,20,19)(27,28,30,29)( 1,21)( 2,23, 5,24)( 3,25, 4,22)( 6,31)( 7,33,10,34)( 8,35, 9,32)(12,13,15,14)(17,18,20,19)(27,28,30,29)
4D 45,27,14^{5},2^{7},1 210210 44 2222 (1,23,6,33)(2,22,7,32)(3,21,8,31)(4,25,9,35)(5,24,10,34)(11,28)(12,27)(13,26)(14,30)(15,29)(16,18)(19,20)( 1,23, 6,33)( 2,22, 7,32)( 3,21, 8,31)( 4,25, 9,35)( 5,24,10,34)(11,28)(12,27)(13,26)(14,30)(15,29)(16,18)(19,20)
4E1 48,2,14^{8},2,1 210210 44 2525 (1,10,3,9)(2,7)(4,6,5,8)(11,35,28,24)(12,32,27,22)(13,34,26,25)(14,31,30,23)(15,33,29,21)(16,20,18,19)( 1,10, 3, 9)( 2, 7)( 4, 6, 5, 8)(11,35,28,24)(12,32,27,22)(13,34,26,25)(14,31,30,23)(15,33,29,21)(16,20,18,19)
4E-1 48,2,14^{8},2,1 210210 44 2525 (1,9,3,10)(2,7)(4,8,5,6)(11,24,28,35)(12,22,27,32)(13,25,26,34)(14,23,30,31)(15,21,29,33)(16,19,18,20)( 1, 9, 3,10)( 2, 7)( 4, 8, 5, 6)(11,24,28,35)(12,22,27,32)(13,25,26,34)(14,23,30,31)(15,21,29,33)(16,19,18,20)
5A 575^{7} 44 55 2828 (1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12)(16,20,19,18,17)(21,25,24,23,22)(26,30,29,28,27)(31,35,34,33,32)( 1, 5, 4, 3, 2)( 6,10, 9, 8, 7)(11,15,14,13,12)(16,20,19,18,17)(21,25,24,23,22)(26,30,29,28,27)(31,35,34,33,32)
6A 64,32,22,16^{4},3^{2},2^{2},1 280280 66 2626 (1,15,31,5,11,35)(2,14,32,4,12,34)(3,13,33)(6,30,21,10,26,25)(7,29,22,9,27,24)(8,28,23)(16,20)(17,19)( 1,15,31, 5,11,35)( 2,14,32, 4,12,34)( 3,13,33)( 6,30,21,10,26,25)( 7,29,22, 9,27,24)( 8,28,23)(16,20)(17,19)
7A1 757^{5} 2424 77 3030 (1,31,16,6,26,11,21)(2,32,17,7,27,12,22)(3,33,18,8,28,13,23)(4,34,19,9,29,14,24)(5,35,20,10,30,15,25)( 1,31,16, 6,26,11,21)( 2,32,17, 7,27,12,22)( 3,33,18, 8,28,13,23)( 4,34,19, 9,29,14,24)( 5,35,20,10,30,15,25)
7A-1 757^{5} 2424 77 3030 (1,21,11,26,6,16,31)(2,22,12,27,7,17,32)(3,23,13,28,8,18,33)(4,24,14,29,9,19,34)(5,25,15,30,10,20,35)( 1,21,11,26, 6,16,31)( 2,22,12,27, 7,17,32)( 3,23,13,28, 8,18,33)( 4,24,14,29, 9,19,34)( 5,25,15,30,10,20,35)
10A 102,5310^{2},5^{3} 8484 1010 3030 (1,8,5,7,4,6,3,10,2,9)(11,28,15,27,14,26,13,30,12,29)(16,18,20,17,19)(21,23,25,22,24)(31,33,35,32,34)( 1, 8, 5, 7, 4, 6, 3,10, 2, 9)(11,28,15,27,14,26,13,30,12,29)(16,18,20,17,19)(21,23,25,22,24)(31,33,35,32,34)
12A1 122,4,32,112^{2},4,3^{2},1 280280 1212 2929 (1,32,15,4,31,12,5,34,11,2,35,14)(3,33,13)(6,22,30,9,21,27,10,24,26,7,25,29)(8,23,28)(16,17,20,19)( 1,32,15, 4,31,12, 5,34,11, 2,35,14)( 3,33,13)( 6,22,30, 9,21,27,10,24,26, 7,25,29)( 8,23,28)(16,17,20,19)
12A-1 122,4,32,112^{2},4,3^{2},1 280280 1212 2929 (1,14,35,2,11,34,5,12,31,4,15,32)(3,13,33)(6,29,25,7,26,24,10,27,21,9,30,22)(8,28,23)(16,19,20,17)( 1,14,35, 2,11,34, 5,12,31, 4,15,32)( 3,13,33)( 6,29,25, 7,26,24,10,27,21, 9,30,22)( 8,28,23)(16,19,20,17)
14A1 142,714^{2},7 120120 1414 3232 (1,30,31,15,16,25,6,5,26,35,11,20,21,10)(2,29,32,14,17,24,7,4,27,34,12,19,22,9)(3,28,33,13,18,23,8)( 1,30,31,15,16,25, 6, 5,26,35,11,20,21,10)( 2,29,32,14,17,24, 7, 4,27,34,12,19,22, 9)( 3,28,33,13,18,23, 8)
14A-1 142,714^{2},7 120120 1414 3232 (1,10,21,20,11,35,26,5,6,25,16,15,31,30)(2,9,22,19,12,34,27,4,7,24,17,14,32,29)(3,8,23,18,13,33,28)( 1,10,21,20,11,35,26, 5, 6,25,16,15,31,30)( 2, 9,22,19,12,34,27, 4, 7,24,17,14,32,29)( 3, 8,23,18,13,33,28)
15A 152,515^{2},5 224224 1515 3232 (1,30,9,3,27,6,5,29,8,2,26,10,4,28,7)(11,15,14,13,12)(16,25,34,18,22,31,20,24,33,17,21,35,19,23,32)( 1,30, 9, 3,27, 6, 5,29, 8, 2,26,10, 4,28, 7)(11,15,14,13,12)(16,25,34,18,22,31,20,24,33,17,21,35,19,23,32)
20A 20,10,520,10,5 168168 2020 3232 (1,12,8,29,5,11,7,28,4,15,6,27,3,14,10,26,2,13,9,30)(16,17,18,19,20)(21,32,23,34,25,31,22,33,24,35)( 1,12, 8,29, 5,11, 7,28, 4,15, 6,27, 3,14,10,26, 2,13, 9,30)(16,17,18,19,20)(21,32,23,34,25,31,22,33,24,35)
28A1 28,728,7 120120 2828 3333 (1,17,30,24,31,7,15,4,16,27,25,34,6,12,5,19,26,22,35,9,11,2,20,29,21,32,10,14)(3,18,28,23,33,8,13)( 1,17,30,24,31, 7,15, 4,16,27,25,34, 6,12, 5,19,26,22,35, 9,11, 2,20,29,21,32,10,14)( 3,18,28,23,33, 8,13)
28A-1 28,728,7 120120 2828 3333 (1,14,10,32,21,29,20,2,11,9,35,22,26,19,5,12,6,34,25,27,16,4,15,7,31,24,30,17)(3,13,8,33,23,28,18)( 1,14,10,32,21,29,20, 2,11, 9,35,22,26,19, 5,12, 6,34,25,27,16, 4,15, 7,31,24,30,17)( 3,13, 8,33,23,28,18)
28A5 28,728,7 120120 2828 3333 (1,7,25,19,11,32,30,4,6,22,20,14,31,27,5,9,21,17,15,34,26,2,10,24,16,12,35,29)(3,8,23,18,13,33,28)( 1, 7,25,19,11,32,30, 4, 6,22,20,14,31,27, 5, 9,21,17,15,34,26, 2,10,24,16,12,35,29)( 3, 8,23,18,13,33,28)
28A-5 28,728,7 120120 2828 3333 (1,29,35,12,16,24,10,2,26,34,15,17,21,9,5,27,31,14,20,22,6,4,30,32,11,19,25,7)(3,28,33,13,18,23,8)( 1,29,35,12,16,24,10, 2,26,34,15,17,21, 9, 5,27,31,14,20,22, 6, 4,30,32,11,19,25, 7)( 3,28,33,13,18,23, 8)
35A1 3535 9696 3535 3434 (1,7,28,19,35,11,22,3,9,30,16,32,13,24,5,6,27,18,34,15,21,2,8,29,20,31,12,23,4,10,26,17,33,14,25)( 1, 7,28,19,35,11,22, 3, 9,30,16,32,13,24, 5, 6,27,18,34,15,21, 2, 8,29,20,31,12,23, 4,10,26,17,33,14,25)
35A-1 3535 9696 3535 3434 (1,25,14,33,17,26,10,4,23,12,31,20,29,8,2,21,15,34,18,27,6,5,24,13,32,16,30,9,3,22,11,35,19,28,7)( 1,25,14,33,17,26,10, 4,23,12,31,20,29, 8, 2,21,15,34,18,27, 6, 5,24,13,32,16,30, 9, 3,22,11,35,19,28, 7)

Malle's constant a(G)a(G):     1/101/10

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Character table

1A 2A 2B 2C 3A 4A1 4A-1 4B 4C1 4C-1 4D 4E1 4E-1 5A 6A 7A1 7A-1 10A 12A1 12A-1 14A1 14A-1 15A 20A 28A1 28A-1 28A5 28A-5 35A1 35A-1
Size 1 5 21 105 56 5 5 42 105 105 210 210 210 4 280 24 24 84 280 280 120 120 224 168 120 120 120 120 96 96
2 P 1A 1A 1A 1A 3A 2A 2A 2B 2A 2A 2B 2C 2C 5A 3A 7A1 7A-1 5A 6A 6A 7A1 7A-1 15A 10A 14A1 14A-1 14A-1 14A1 35A1 35A-1
3 P 1A 2A 2B 2C 1A 4A-1 4A1 4B 4C-1 4C1 4D 4E-1 4E1 5A 2A 7A-1 7A1 10A 4A1 4A-1 14A-1 14A1 5A 20A 28A-1 28A1 28A-5 28A5 35A-1 35A1
5 P 1A 2A 2B 2C 3A 4A1 4A-1 4B 4C1 4C-1 4D 4E1 4E-1 1A 6A 7A-1 7A1 2B 12A1 12A-1 14A-1 14A1 3A 4B 28A5 28A-5 28A1 28A-1 7A1 7A-1
7 P 1A 2A 2B 2C 3A 4A-1 4A1 4B 4C-1 4C1 4D 4E-1 4E1 5A 6A 1A 1A 10A 12A-1 12A1 2A 2A 15A 20A 4A1 4A-1 4A1 4A-1 5A 5A
Type
3360.v.1a R 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
3360.v.1b R 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
3360.v.1c1 C 1 1 1 1 1 i i 1 i i 1 i i 1 1 1 1 1 i i 1 1 1 1 i i i i 1 1
3360.v.1c2 C 1 1 1 1 1 i i 1 i i 1 i i 1 1 1 1 1 i i 1 1 1 1 i i i i 1 1
3360.v.3a1 C 3 3 1 1 0 3 3 1 1 1 1 1 1 3 0 ζ731ζ7ζ72 ζ73+ζ7+ζ72 1 0 0 ζ731ζ7ζ72 ζ73+ζ7+ζ72 0 1 ζ731ζ7ζ72 ζ73+ζ7+ζ72 ζ73+ζ7+ζ72 ζ731ζ7ζ72 ζ73+ζ7+ζ72 ζ731ζ7ζ72
3360.v.3a2 C 3 3 1 1 0 3 3 1 1 1 1 1 1 3 0 ζ73+ζ7+ζ72 ζ731ζ7ζ72 1 0 0 ζ73+ζ7+ζ72 ζ731ζ7ζ72 0 1 ζ73+ζ7+ζ72 ζ731ζ7ζ72 ζ731ζ7ζ72 ζ73+ζ7+ζ72 ζ731ζ7ζ72 ζ73+ζ7+ζ72
3360.v.3b1 C 3 3 1 1 0 3 3 1 1 1 1 1 1 3 0 ζ731ζ7ζ72 ζ73+ζ7+ζ72 1 0 0 ζ731ζ7ζ72 ζ73+ζ7+ζ72 0 1 ζ73+1+ζ7+ζ72 ζ73ζ7ζ72 ζ73ζ7ζ72 ζ73+1+ζ7+ζ72 ζ73+ζ7+ζ72 ζ731ζ7ζ72
3360.v.3b2 C 3 3 1 1 0 3 3 1 1 1 1 1 1 3 0 ζ73+ζ7+ζ72 ζ731ζ7ζ72 1 0 0 ζ73+ζ7+ζ72 ζ731ζ7ζ72 0 1 ζ73ζ7ζ72 ζ73+1+ζ7+ζ72 ζ73+1+ζ7+ζ72 ζ73ζ7ζ72 ζ731ζ7ζ72 ζ73+ζ7+ζ72
3360.v.3c1 C 3 3 1 1 0 3ζ287 3ζ287 1 ζ287 ζ287 1 ζ287 ζ287 3 0 1+ζ282ζ284ζ288 ζ282+ζ284+ζ288 1 0 0 1ζ282+ζ284+ζ288 ζ282ζ284ζ288 0 1 ζ28ζ287+ζ289ζ2811 ζ28+ζ289ζ2811 ζ28ζ289+ζ2811 ζ28+ζ287ζ289+ζ2811 ζ282+ζ284+ζ288 1+ζ282ζ284ζ288
3360.v.3c2 C 3 3 1 1 0 3ζ287 3ζ287 1 ζ287 ζ287 1 ζ287 ζ287 3 0 ζ282+ζ284+ζ288 1+ζ282ζ284ζ288 1 0 0 ζ282ζ284ζ288 1ζ282+ζ284+ζ288 0 1 ζ28+ζ289ζ2811 ζ28ζ287+ζ289ζ2811 ζ28+ζ287ζ289+ζ2811 ζ28ζ289+ζ2811 1+ζ282ζ284ζ288 ζ282+ζ284+ζ288
3360.v.3c3 C 3 3 1 1 0 3ζ287 3ζ287 1 ζ287 ζ287 1 ζ287 ζ287 3 0 ζ282+ζ284+ζ288 1+ζ282ζ284ζ288 1 0 0 ζ282ζ284ζ288 1ζ282+ζ284+ζ288 0 1 ζ28ζ289+ζ2811 ζ28+ζ287ζ289+ζ2811 ζ28ζ287+ζ289ζ2811 ζ28+ζ289ζ2811 1+ζ282ζ284ζ288 ζ282+ζ284+ζ288
3360.v.3c4 C 3 3 1 1 0 3ζ287 3ζ287 1 ζ287 ζ287 1 ζ287 ζ287 3 0 1+ζ282ζ284ζ288 ζ282+ζ284+ζ288 1 0 0 1ζ282+ζ284+ζ288 ζ282ζ284ζ288 0 1 ζ28+ζ287ζ289+ζ2811 ζ28ζ289+ζ2811 ζ28+ζ289ζ2811 ζ28ζ287+ζ289ζ2811 ζ282+ζ284+ζ288 1+ζ282ζ284ζ288
3360.v.4a R 4 0 4 0 4 0 0 4 0 0 0 0 0 1 0 4 4 1 0 0 0 0 1 1 0 0 0 0 1 1
3360.v.6a R 6 6 2 2 0 6 6 0 2 2 0 0 0 6 0 1 1 2 0 0 1 1 0 0 1 1 1 1 1 1
3360.v.6b R 6 6 2 2 0 6 6 0 2 2 0 0 0 6 0 1 1 2 0 0 1 1 0 0 1 1 1 1 1 1
3360.v.6c1 C 6 6 2 2 0 6i 6i 0 2i 2i 0 0 0 6 0 1 1 2 0 0 1 1 0 0 i i i i 1 1
3360.v.6c2 C 6 6 2 2 0 6i 6i 0 2i 2i 0 0 0 6 0 1 1 2 0 0 1 1 0 0 i i i i 1 1
3360.v.7a R 7 7 1 1 1 7 7 1 1 1 1 1 1 7 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0
3360.v.7b R 7 7 1 1 1 7 7 1 1 1 1 1 1 7 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0
3360.v.7c1 C 7 7 1 1 1 7i 7i 1 i i 1 i i 7 1 0 0 1 i i 0 0 1 1 0 0 0 0 0 0
3360.v.7c2 C 7 7 1 1 1 7i 7i 1 i i 1 i i 7 1 0 0 1 i i 0 0 1 1 0 0 0 0 0 0
3360.v.8a R 8 8 0 0 1 8 8 0 0 0 0 0 0 8 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1
3360.v.8b R 8 8 0 0 1 8 8 0 0 0 0 0 0 8 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1
3360.v.8c1 C 8 8 0 0 1 8i 8i 0 0 0 0 0 0 8 1 1 1 0 i i 1 1 1 0 i i i i 1 1
3360.v.8c2 C 8 8 0 0 1 8i 8i 0 0 0 0 0 0 8 1 1 1 0 i i 1 1 1 0 i i i i 1 1
3360.v.12a1 C 12 0 4 0 0 0 0 4 0 0 0 0 0 3 0 4ζ7344ζ74ζ72 4ζ73+4ζ7+4ζ72 1 0 0 0 0 0 1 0 0 0 0 ζ73ζ7ζ72 ζ73+1+ζ7+ζ72
3360.v.12a2 C 12 0 4 0 0 0 0 4 0 0 0 0 0 3 0 4ζ73+4ζ7+4ζ72 4ζ7344ζ74ζ72 1 0 0 0 0 0 1 0 0 0 0 ζ73+1+ζ7+ζ72 ζ73ζ7ζ72
3360.v.24a R 24 0 8 0 0 0 0 0 0 0 0 0 0 6 0 4 4 2 0 0 0 0 0 0 0 0 0 0 1 1
3360.v.28a R 28 0 4 0 4 0 0 4 0 0 0 0 0 7 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0
3360.v.32a R 32 0 0 0 4 0 0 0 0 0 0 0 0 8 0 4 4 0 0 0 0 0 1 0 0 0 0 0 1 1

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Regular extensions

Data not computed