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Label | Name | Order | Exponent | $\card{\mathrm{conj}(G)}$ | Center | Type - length |
---|---|---|---|---|---|---|
129.1 | $C_{43}:C_3$ | $3 \cdot 43$ | $3 \cdot 43$ | $17$ | $C_1$ | Solvable - 2 |
129.2 | $C_{129}$ | $3 \cdot 43$ | $3 \cdot 43$ | $129$ | $C_{129}$ | Cyclic |
130.1 | $D_5\times C_{13}$ | $2 \cdot 5 \cdot 13$ | $2 \cdot 5 \cdot 13$ | $52$ | $C_{13}$ | Solvable - 2 |
130.2 | $C_5\times D_{13}$ | $2 \cdot 5 \cdot 13$ | $2 \cdot 5 \cdot 13$ | $40$ | $C_5$ | Solvable - 2 |
130.3 | $D_{65}$ | $2 \cdot 5 \cdot 13$ | $2 \cdot 5 \cdot 13$ | $34$ | $C_1$ | Solvable - 2 |
130.4 | $C_{130}$ | $2 \cdot 5 \cdot 13$ | $2 \cdot 5 \cdot 13$ | $130$ | $C_{130}$ | Cyclic |
131.1 | $C_{131}$ | $131$ | $131$ | $131$ | $C_{131}$ | Cyclic |
132.1 | $C_3:C_{44}$ | $2^{2} \cdot 3 \cdot 11$ | $2^{2} \cdot 3 \cdot 11$ | $66$ | $C_{22}$ | Solvable - 2 |
132.2 | $C_{11}:C_{12}$ | $2^{2} \cdot 3 \cdot 11$ | $2^{2} \cdot 3 \cdot 11$ | $42$ | $C_6$ | Solvable - 2 |
132.3 | $C_{33}:C_4$ | $2^{2} \cdot 3 \cdot 11$ | $2^{2} \cdot 3 \cdot 11$ | $36$ | $C_2$ | Solvable - 2 |
132.4 | $C_{132}$ | $2^{2} \cdot 3 \cdot 11$ | $2^{2} \cdot 3 \cdot 11$ | $132$ | $C_{132}$ | Cyclic |
132.5 | $S_3\times D_{11}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $21$ | $C_1$ | Solvable - 2 |
132.6 | $C_{11}\times A_4$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $44$ | $C_{11}$ | Solvable - 2 |
132.7 | $C_3\times D_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $42$ | $C_6$ | Solvable - 2 |
132.8 | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $66$ | $C_{22}$ | Solvable - 2 |
132.9 | $D_{66}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $36$ | $C_2$ | Solvable - 2 |
132.10 | $C_2\times C_{66}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $132$ | $C_2\times C_{66}$ | Abelian - 2 |
133.1 | $C_{133}$ | $7 \cdot 19$ | $7 \cdot 19$ | $133$ | $C_{133}$ | Cyclic |
134.1 | $D_{67}$ | $2 \cdot 67$ | $2 \cdot 67$ | $35$ | $C_1$ | Solvable - 2 |
134.2 | $C_{134}$ | $2 \cdot 67$ | $2 \cdot 67$ | $134$ | $C_{134}$ | Cyclic |
135.1 | $C_{135}$ | $3^{3} \cdot 5$ | $3^{3} \cdot 5$ | $135$ | $C_{135}$ | Cyclic |
135.2 | $C_3\times C_{45}$ | $3^{3} \cdot 5$ | $3^{2} \cdot 5$ | $135$ | $C_3\times C_{45}$ | Abelian - 2 |
135.3 | $C_5\times \He_3$ | $3^{3} \cdot 5$ | $3 \cdot 5$ | $55$ | $C_{15}$ | Nilpotent - 2 |
135.4 | $C_9:C_{15}$ | $3^{3} \cdot 5$ | $3^{2} \cdot 5$ | $55$ | $C_{15}$ | Nilpotent - 2 |
135.5 | $C_3^2\times C_{15}$ | $3^{3} \cdot 5$ | $3 \cdot 5$ | $135$ | $C_3^2\times C_{15}$ | Abelian - 3 |
136.1 | $C_{17}:C_8$ | $2^{3} \cdot 17$ | $2^{3} \cdot 17$ | $40$ | $C_4$ | Solvable - 2 |
136.2 | $C_{136}$ | $2^{3} \cdot 17$ | $2^{3} \cdot 17$ | $136$ | $C_{136}$ | Cyclic |
136.3 | $C_{17}:C_8$ | $2^{3} \cdot 17$ | $2^{3} \cdot 17$ | $16$ | $C_2$ | Solvable - 2 |
136.4 | $C_{17}:Q_8$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $37$ | $C_2$ | Solvable - 2 |
136.5 | $C_4\times D_{17}$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $40$ | $C_4$ | Solvable - 2 |
136.6 | $D_{68}$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $37$ | $C_2$ | Solvable - 2 |
136.7 | $C_{34}:C_4$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $40$ | $C_2^2$ | Solvable - 2 |
136.8 | $C_{17}:D_4$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $37$ | $C_2$ | Solvable - 2 |
136.9 | $C_2\times C_{68}$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $136$ | $C_2\times C_{68}$ | Abelian - 2 |
136.10 | $D_4\times C_{17}$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $85$ | $C_{34}$ | Nilpotent - 2 |
136.11 | $Q_8\times C_{17}$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $85$ | $C_{34}$ | Nilpotent - 2 |
136.12 | $C_{17}:C_8$ | $2^{3} \cdot 17$ | $2^{3} \cdot 17$ | $10$ | $C_1$ | Solvable - 2 |
136.13 | $C_{34}:C_4$ | $2^{3} \cdot 17$ | $2^{2} \cdot 17$ | $16$ | $C_2$ | Solvable - 2 |
136.14 | $C_2\times D_{34}$ | $2^{3} \cdot 17$ | $2 \cdot 17$ | $40$ | $C_2^2$ | Solvable - 2 |
136.15 | $C_2^2\times C_{34}$ | $2^{3} \cdot 17$ | $2 \cdot 17$ | $136$ | $C_2^2\times C_{34}$ | Abelian - 3 |
137.1 | $C_{137}$ | $137$ | $137$ | $137$ | $C_{137}$ | Cyclic |
138.1 | $S_3\times C_{23}$ | $2 \cdot 3 \cdot 23$ | $2 \cdot 3 \cdot 23$ | $69$ | $C_{23}$ | Solvable - 2 |
138.2 | $C_3\times D_{23}$ | $2 \cdot 3 \cdot 23$ | $2 \cdot 3 \cdot 23$ | $39$ | $C_3$ | Solvable - 2 |
138.3 | $D_{69}$ | $2 \cdot 3 \cdot 23$ | $2 \cdot 3 \cdot 23$ | $36$ | $C_1$ | Solvable - 2 |
138.4 | $C_{138}$ | $2 \cdot 3 \cdot 23$ | $2 \cdot 3 \cdot 23$ | $138$ | $C_{138}$ | Cyclic |
139.1 | $C_{139}$ | $139$ | $139$ | $139$ | $C_{139}$ | Cyclic |
140.1 | $C_5:C_{28}$ | $2^{2} \cdot 5 \cdot 7$ | $2^{2} \cdot 5 \cdot 7$ | $56$ | $C_{14}$ | Solvable - 2 |
140.2 | $C_7:C_{20}$ | $2^{2} \cdot 5 \cdot 7$ | $2^{2} \cdot 5 \cdot 7$ | $50$ | $C_{10}$ | Solvable - 2 |
140.3 | $C_{35}:C_4$ | $2^{2} \cdot 5 \cdot 7$ | $2^{2} \cdot 5 \cdot 7$ | $38$ | $C_2$ | Solvable - 2 |
140.4 | $C_{140}$ | $2^{2} \cdot 5 \cdot 7$ | $2^{2} \cdot 5 \cdot 7$ | $140$ | $C_{140}$ | Cyclic |