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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (1-50 of 56 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
46T1 $C_{46}$ $46$ $-1$ ✓ $C_2$, $C_{23}$
46T2 $D_{23}$ $46$ $-1$ ✓ $C_2$, $D_{23}$ 23T2
46T3 $D_{46}$ $92$ $-1$ ✓ $C_2$, $D_{23}$ 46T3
46T4 $C_{23}:C_{22}$ $506$ $-1$ ✓ $C_2$, $C_{23}:C_{11}$
46T5 $F_{23}$ $506$ $-1$ ✓ $C_2$, $F_{23}$ 23T4
46T6 $C_2\times F_{23}$ $1012$ $-1$ ✓ $C_2$, $F_{23}$ 46T6
46T7 $C_{23}\times D_{23}$ $1058$ $-1$ ✓ $C_2$ 46T7 x 10
46T8 t46n8 $2116$ $-1$ ✓ $C_2$ 46T8 x 10
46T9 t46n9 $2116$ $1$ ✓ $C_2$ 46T9 x 11
46T10 $D_{23}\wr C_2$ $4232$ $-1$ ✓ $C_2$ 46T10
46T11 t46n11 $11638$ $-1$ ✓ $C_2$
46T12 t46n12 $11638$ $-1$ ✓ $C_2$ 46T12 x 10
46T13 $C_{23}^2:D_{22}$ $23276$ $-1$ ✓ $C_2$
46T14 $C_{23}^2:C_{11}:C_4$ $23276$ $1$ ✓ $C_2$
46T15 $D_{23}:F_{23}$ $23276$ $-1$ ✓ $C_2$ 46T15 x 10
46T16 $C_{23}^2:C_{44}$ $23276$ $1$ ✓ $C_2$ 46T16 x 11
46T17 $D_{23}^2:D_{11}$ $46552$ $-1$ ✓ $C_2$
46T18 $D_{23}^2:C_{22}$ $46552$ $-1$ ✓ $C_2$ 46T18
46T19 $C_2^{11}.C_{23}$ $47104$ $1$ ✓ $C_{23}$ 46T19 x 88
46T20 $C_2^{12}:C_{23}$ $94208$ $-1$ ✓ $C_{23}$ 46T20 x 88
46T21 $C_{23}^2:(C_{11}\times D_{11})$ $128018$ $-1$ ✓ $C_2$
46T22 $C_{23}^2:C_{11}:C_{44}$ $256036$ $1$ ✓ $C_2$
46T23 $C_{23}^2:(C_{11}\times D_{22})$ $256036$ $-1$ ✓ $C_2$
46T24 $F_{23}\wr C_2$ $512072$ $-1$ ✓ $C_2$
46T25 $(C_2^{11}.C_{23}):C_{11}$ $518144$ $1$ ✓ $C_{23}:C_{11}$
46T26 $C_2^{12}:C_{23}:C_{11}$ $1036288$ $-1$ ✓ $C_{23}:C_{11}$
46T27 $C_2\times M_{23}$ $20401920$ $-1$ $C_2$, $M_{23}$
46T28 $C_2^{22}.C_{23}$ $96468992$ $1$ ✓ $C_{23}$ 46T28 x 182182
46T29 $C_2^{22}.C_{46}$ $192937984$ $-1$ ✓ $C_{23}$ 46T29 x 182182
46T30 $C_2^{22}.D_{23}$ $192937984$ $-1$ ✓ $D_{23}$ 46T30 x 2046, 46T31 x 2047
46T31 $C_2^{22}.D_{23}$ $192937984$ $1$ ✓ $D_{23}$ 46T30 x 2047, 46T31 x 2046
46T32 $C_2^{22}.D_{46}$ $385875968$ $-1$ ✓ $D_{23}$ 46T32 x 4093
46T33 $(C_2^{22}.C_{23}):C_{11}$ $1061158912$ $1$ ✓ $C_{23}:C_{11}$
46T34 $C_2^{22}.C_{23}.C_{22}$ $2122317824$ $-1$ ✓ $C_{23}:C_{11}$
46T35 $C_2^{22}.F_{23}$ $2122317824$ $1$ ✓ $F_{23}$ 46T36
46T36 $C_2^{22}.F_{23}$ $2122317824$ $-1$ ✓ $F_{23}$ 46T35
46T37 $C_2^{22}.D_{23}.C_{22}$ $4244635648$ $-1$ ✓ $F_{23}$ 46T37
46T38 $C_2^{11}.M_{23}$ $20891566080$ $1$ $M_{23}$
46T39 $C_2^{12}.M_{23}$ $41783132160$ $-1$ $M_{23}$
46T40 $C_2^{22}.M_{23}$ $42785927331840$ $1$ $M_{23}$
46T41 $C_2^{23}.M_{23}$ $85571854663680$ $-1$ $M_{23}$
46T42 $M_{23}\wr C_2$ $208119169843200$ $-1$ $C_2$
46T43 $C_2.A_{23}$ $25852016738884976640000$ $-1$ $C_2$, $A_{23}$
46T44 $S_{23}$ $25852016738884976640000$ $-1$ $C_2$, $S_{23}$ 23T7
46T45 $C_2.S_{23}$ $51704033477769953280000$ $-1$ $C_2$, $S_{23}$ 46T45
46T46 $C_2^{22}.A_{23}$ $54215608607986106530529280000$ $1$ $A_{23}$
46T47 $C_2^{23}.A_{23}$ $108431217215972213061058560000$ $-1$ $A_{23}$
46T48 $C_2^{22}.A_{23}.C_2$ $108431217215972213061058560000$ $-1$ $S_{23}$ 46T49
46T49 $C_2^{22}.A_{23}.C_2$ $108431217215972213061058560000$ $1$ $S_{23}$ 46T48
46T50 $C_2^{23}.A_{23}.C_2$ $216862434431944426122117120000$ $-1$ $S_{23}$ 46T50
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Results are complete for degrees $\leq 23$.