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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 6520 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
41T9 $A_{41}$ $16726263306581903554085031026720375832576000000000$ $1$
41T10 $S_{41}$ $33452526613163807108170062053440751665152000000000$ $-1$
42T7191 $C_7^6.C_3^5.A_6.C_2^2$ $41167738080$ $-1$ $S_6$
42T7192 $C_2^{21}.\PSL(3,4)$ $42278584320$ $-1$ $\PSL(3,4)$
42T7193 $C_2^{20}.\PSL(3,4).C_2$ $42278584320$ $-1$ $\PSL(3,4).C_2$ 42T7194
42T7194 $C_2^{20}.\PSL(3,4).C_2$ $42278584320$ $1$ $\PSL(3,4).C_2$ 42T7193
42T7195 $C_2^7.(C_2^{14}.C_3^6.D_{14})$ $42807066624$ $-1$ ✓ $D_{7}$, $C_3^6.D_{14}$ 42T7195 x 27
42T7196 $C_3^4.C_4\wr C_2.C_2^2$ $43912253952$ $-1$ ✓ $C_3$, $A_4\times C_2$
42T7197 $C_7^6.C_6^3.C_2^4.C_{18}.C_6$ $43912253952$ $-1$ ✓ $C_3$, $A_4\times C_2$
42T7198 $C_7^6.C_6^3.C_2^4:\He_3.C_2^2$ $43912253952$ $-1$ ✓ $S_3$, $S_4$
42T7199 $C_7^6.C_6^3.C_2^4:\He_3.C_2^2$ $43912253952$ $-1$ ✓ $S_3$, $S_4$
42T7200 $C_7^6.C_6^3.C_2^4:\He_3.C_2^2$ $43912253952$ $1$ ✓ $S_3$, $S_4\times C_2$
42T7201 $C_7^6.C_6^3.C_2^4:\He_3.C_2^2$ $43912253952$ $-1$ ✓ $S_3$, $S_4\times C_2$
42T7202 $C_7^6.C_6^3.C_2^4:\He_3.C_2^2$ $43912253952$ $-1$ ✓ $S_3$, $S_4\times C_2$
42T7203 $C_7^6.C_6^3.C_2^4:\He_3.C_2^2$ $43912253952$ $-1$ ✓ $S_3$, $S_4\times C_2$
42T7204 $C_7^6.C_3.(C_2\times C_6^3).D_6\wr C_2$ $43912253952$ $-1$ ✓ $C_2$, $C_3^2:D_4$
42T7205 $C_6^7.C_2^6.A_7$ $45148078080$ $-1$ $A_7$, $C_2^7.A_7$, $C_3^7.C_2^6:A_7$ 42T7205
42T7206 $C_3^7.(C_2^{12}.S_7)$ $45148078080$ $-1$ $S_7$, $C_2^6.S_7$, $C_3^7.(C_2^6.S_7)$ 42T7206, 42T7207 x 2
42T7207 $C_3^7.(C_2^{12}.S_7)$ $45148078080$ $1$ $S_7$, $C_2^6.S_7$, $C_3^7.(C_2^6.S_7)$ 42T7206 x 2, 42T7207
42T7208 $C_3^7.(C_2^{12}.S_7)$ $45148078080$ $-1$ $S_7$, $C_2^6.S_7$, $C_3^7.(C_2^6.S_7)$ 42T7208, 42T7209 x 2
42T7209 $C_3^7.(C_2^{12}.S_7)$ $45148078080$ $1$ $S_7$, $C_2^6.S_7$, $C_3^7.(C_2^6.S_7)$ 42T7208 x 2, 42T7209
42T7210 $C_3^7.(C_2^{13}.A_7)$ $45148078080$ $1$ $A_7$, $C_2^6:A_7$, $C_3^7.(C_2^7.A_7)$ 42T7210, 42T7211 x 2
42T7211 $C_3^7.(C_2^{13}.A_7)$ $45148078080$ $-1$ $A_7$, $C_2^7.A_7$, $C_3^7.(C_2^7.A_7)$ 42T7210 x 2, 42T7211
42T7212 $C_2^{14}.C_3^6.C_2^6.C_{21}.C_3$ $48157949952$ $1$ ✓ $C_7:C_3$, $C_3^6.C_{21}:C_3$
42T7213 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.\GL(3,2)$ 42T7213
42T7214 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.\GL(3,2)$ 42T7214
42T7215 $C_3^4.C_{12}.C_2^2.C_3$ $48157949952$ $1$ ✓ $C_7:C_3$, $C_3^7.F_8:C_3$ 42T7215
42T7216 $C_2^{14}.C_3^7.C_2^6.C_7.C_3$ $48157949952$ $1$ ✓ $C_7:C_3$, $C_3^7.F_8:C_3$ 42T7217
42T7217 $C_2^{14}.C_3^7.C_2^6.C_7.C_3$ $48157949952$ $1$ ✓ $C_7:C_3$, $C_3^7.F_8:C_3$ 42T7216
42T7218 $C_2^{14}.C_3^6.C_3.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.\GL(3,2)$ 42T7218
42T7219 $C_2^{14}.C_3.C_3^6.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.\GL(3,2)$ 42T7219
42T7220 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.C_2^3:\GL(3,2)$ 28T1747, 42T7221, 42T7222, 42T7223
42T7221 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.C_2^3:\GL(3,2)$ 28T1747, 42T7220, 42T7222, 42T7223
42T7222 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.C_2^3:\GL(3,2)$ 28T1747, 42T7220, 42T7221, 42T7223
42T7223 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7.C_2^3:\GL(3,2)$ 28T1747, 42T7220, 42T7221, 42T7222
42T7224 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7:C_2^3.\GL(3,2)$ 28T1748, 42T7225, 42T7226, 42T7227
42T7225 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7:C_2^3.\GL(3,2)$ 28T1748, 42T7224, 42T7226, 42T7227
42T7226 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7:C_2^3.\GL(3,2)$ 28T1748, 42T7224, 42T7225, 42T7227
42T7227 $C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$ $48157949952$ $1$ $\GL(3,2)$, $C_3^7:C_2^3.\GL(3,2)$ 28T1748, 42T7224, 42T7225, 42T7226
42T7228 $C_2^{14}.C_3^7.C_2^6.C_7.C_3$ $48157949952$ $1$ ✓ $C_7:C_3$, $C_3^7.C_2^3:F_8:C_3$ 28T1746, 42T7229 x 2, 42T7230
42T7229 $C_2^{14}.C_3^7.C_2^6.C_7.C_3$ $48157949952$ $1$ ✓ $C_7:C_3$, $C_3^7.C_2^3:F_8:C_3$ 28T1746, 42T7228, 42T7229, 42T7230
42T7230 $C_2^{14}.C_3^7.C_2^6.C_7.C_3$ $48157949952$ $1$ ✓ $C_7:C_3$, $C_3^7.C_2^3:F_8:C_3$ 28T1746, 42T7228, 42T7229 x 2
42T7231 $C_3^6.(C_3^7.(S_3\times S_7))$ $48212327520$ $-1$ $C_2$, $S_7$, $S_7$ 42T7231 x 3
42T7232 $C_3^{14}.C_2.A_7.C_2$ $48212327520$ $1$ $C_2$, $S_7$, $S_7$ 42T7232 x 15
42T7233 $C_3^{13}.D_6.A_7$ $48212327520$ $-1$ $C_2$, $A_7$, $A_7\times C_2$ 42T7233 x 3
42T7234 $C_3^{14}.C_4.A_7$ $48212327520$ $1$ $C_2$, $A_7$, $A_7\times C_2$ 42T7234 x 15
42T7235 $C_3^6.(S_3\times C_3^7.S_7)$ $48212327520$ $-1$ $C_2$, $S_7$, $S_7\times C_2$ 42T7235 x 3
42T7236 $C_3^7.(S_3\times C_3^6.S_7)$ $48212327520$ $-1$ $C_2$, $S_7$, $S_7\times C_2$ 42T7236 x 3
42T7237 $C_7^6.C_3^3.C_2^4.C_3^3.C_6^2$ $49401285696$ $-1$ ✓ $C_2$, $S_3\times C_3$
42T7238 $C_7^6.C_2^4.C_3^3.C_3^3.C_{12}.C_3$ $49401285696$ $1$ ✓ $C_2$, $S_3\times C_3$
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Results are complete for degrees $\leq 23$.