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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 11075 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
24T4987 $C_2^6.S_3^2$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3^2$ 24T4987, 24T5062 x 2, 32T205490 x 2
24T4988 $A_4^2:\OD_{16}$ $2304$ $-1$ ✓ $C_2$, $C_4$, $C_3^2:C_4$, $(C_3\times C_3):C_4$ 24T4988, 24T5061 x 2, 32T205487 x 2
24T4989 $C_2\wr S_3:C_6$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3\times C_3$, $C_6\times S_3$ 24T4989, 32T205491 x 2
24T4990 $A_4^2:\OD_{16}$ $2304$ $-1$ ✓ $C_2$, $C_4$, $S_3\times C_3$, $C_3\times (C_3 : C_4)$ 24T4990, 32T205494 x 2
24T4991 $C_6^2.D_4^2$ $2304$ $-1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:D_4$, $(((C_4 \times C_2): C_2):C_2):C_2$, $S_3^2:C_2^2$ 24T4991 x 15, 24T5054 x 16
24T4992 $(C_2\times D_6^2):D_4$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_3^2:D_4$, $C_2 \wr C_2\wr C_2$, $S_3^2:C_2^2$ 24T4992 x 15, 24T5056 x 16
24T4993 $(C_2^2\times D_6^2):C_4$ $2304$ $-1$ ✓ $C_2$, $C_4$, $C_3^2:D_4$, $((C_8 : C_2):C_2):C_2$, $S_3^2:C_4$ 24T4993 x 15, 24T5057 x 16
24T4994 $(C_2\times D_6^2).D_4$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_3^2:D_4$, $C_2 \wr C_2\wr C_2$, $S_3^2:C_4$ 24T4994 x 15, 24T5059 x 16
24T4995 $D_4^2:S_3^2$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $S_3^2$, $C_2 \wr C_2\wr C_2$, $D_6:D_6$ 24T4995 x 31
24T4996 $(C_3^2\times D_4^2):C_4$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_3^2:C_4$, $C_2 \wr C_2\wr C_2$, $C_6^2:C_4$ 24T4996 x 63
24T4997 $S_3\times C_2\wr S_4$ $2304$ $-1$ ✓ $S_3$, $S_4$, $C_2 \wr S_4$, $S_3\times S_4$ 24T4997 x 7
24T4998 $(C_2^2\times C_6^2):\SD_{16}$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_2 \wr C_2\wr C_2$, $F_9:C_2$ 24T4998 x 15
24T4999 $C_2^6.S_3^2$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3^2$ 24T5018, 24T5083 x 2, 32T205463, 32T205498
24T5000 $C_2^6:S_3^2$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3^2$ 24T5014, 24T5082 x 2, 32T205462, 32T205497, 36T3109 x 2, 36T3165 x 2, 36T3437 x 4
24T5001 $C_2\wr S_3:C_6$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3\times C_3$, $C_6\times S_3$ 24T5001, 32T205496 x 2
24T5002 $A_4\wr C_2\times D_4$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3\times C_3$, $C_6\times S_3$ 24T5002, 32T205495 x 2, 36T3072 x 4
24T5003 $\PGOPlus(4,3):C_4$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5005, 32T205480, 32T205482, 36T3220 x 2, 36T3222, 36T3225
24T5004 $C_2^5.\SOPlus(4,2)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5006, 32T205479, 32T205481, 36T3226 x 2
24T5005 $\PGOPlus(4,3):C_4$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5003, 32T205480, 32T205482, 36T3220 x 2, 36T3222, 36T3225
24T5006 $C_2^5.\SOPlus(4,2)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5004, 32T205479, 32T205481, 36T3226 x 2
24T5007 $A_4^2:D_8$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5009, 24T5092 x 2, 32T205474, 32T205483
24T5008 $A_4^2:\SD_{16}$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5010, 24T5091 x 2, 32T205473, 32T205484
24T5009 $A_4^2:D_8$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5007, 24T5092 x 2, 32T205474, 32T205483
24T5010 $A_4^2:\SD_{16}$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $C_3^2:D_4$, $\SOPlus(4,2)$ 24T5008, 24T5091 x 2, 32T205473, 32T205484
24T5011 $C_4:\PGOPlus(4,3)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5011, 32T205455 x 2, 36T3164 x 4
24T5012 $C_4:\PGOPlus(4,3)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5012, 32T205461 x 2, 36T3166 x 4
24T5013 $C_4\times \PGOPlus(4,3)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5013, 32T205457 x 2, 36T3162 x 4
24T5014 $C_2^6:S_3^2$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5000, 24T5082 x 2, 32T205462, 32T205497, 36T3109 x 2, 36T3165 x 2, 36T3437 x 4
24T5015 $C_4.\PGOPlus(4,3)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5015, 32T205458 x 2
24T5016 $C_4.\PGOPlus(4,3)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5016, 32T205460 x 2
24T5017 $C_4.\PGOPlus(4,3)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5017, 32T205456 x 2
24T5018 $C_2^6.S_3^2$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T4999, 24T5083 x 2, 32T205463, 32T205498
24T5019 $A_4^2:(C_2\times Q_8)$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$ 24T5019, 32T205454 x 2
24T5020 $A_4^2:D_8$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $S_3^2$, $C_3:D_{12}$ 24T5020, 32T205476 x 2
24T5021 $A_4^2:\SD_{16}$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $S_3^2$, $C_3:D_{12}$ 24T5021, 32T205475 x 2
24T5022 $A_4^2:(C_2\times C_8)$ $2304$ $-1$ ✓ $C_2$, $C_4$, $S_3^2$, $C_6.D_6$ 24T5022, 32T205464 x 2
24T5023 $A_4^2:\OD_{16}$ $2304$ $-1$ ✓ $C_2$, $C_4$, $S_3^2$, $C_6.D_6$ 24T5023, 32T205465 x 2
24T5024 $(C_4\times A_4^2):C_4$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:C_4$, $C_2\times C_3^2:C_4$ 24T5026, 32T205468, 32T205469, 36T3145 x 2
24T5025 $A_4^2:C_4^2$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:C_4$, $C_2\times C_3^2:C_4$ 24T5025, 32T205470 x 2, 36T3144 x 4
24T5026 $(C_4\times A_4^2):C_4$ $2304$ $1$ ✓ $C_2$ x 3, $C_2^2$, $C_3^2:C_4$, $C_2\times C_3^2:C_4$ 24T5024, 32T205468, 32T205469, 36T3145 x 2
24T5027 $A_4^2:(C_2\times C_8)$ $2304$ $-1$ ✓ $C_2$, $C_4$, $C_3^2:C_4$, $C_2\times C_3^2:C_4$ 24T5027, 32T205450 x 2
24T5028 $A_4^2:\OD_{16}$ $2304$ $-1$ ✓ $C_2$, $C_4$, $C_3^2:C_4$, $C_2\times C_3^2:C_4$ 24T5028, 32T205451 x 2
24T5029 $A_4^2:D_8$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $S_3\times C_3$, $C_6\wr C_2$ 24T5029, 32T205447 x 2
24T5030 $A_4^2:\SD_{16}$ $2304$ $-1$ ✓ $C_2$, $D_{4}$, $S_3\times C_3$, $C_6\wr C_2$ 24T5030, 32T205446 x 2
24T5031 $C_2^4:A_4^2$ $2304$ $-1$ ✓ $C_3$, $A_4$, $C_3\times A_4$ 24T5031, 32T205511 x 2
24T5032 $C_2^3.\PSOPlus(4,3)$ $2304$ $-1$ ✓ $S_3$, $S_4$, $C_3:S_4$ 24T5032, 32T205486 x 2
24T5033 $(C_2^3\times A_4):S_4$ $2304$ $1$ ✓ $S_3$, $S_4$, $C_3:S_4$ 24T5033 x 5, 32T205499 x 6
24T5034 $Q_8:A_4\times S_4$ $2304$ $1$ ✓ $S_3$, $A_4$, $S_3\times A_4$ 24T5034 x 5, 32T205503 x 6
24T5035 $(C_2^3\times S_4):A_4$ $2304$ $-1$ ✓ $S_3$, $A_4$, $S_3\times A_4$ 24T5035, 32T205506 x 2
24T5036 $A_4\times Q_8:S_4$ $2304$ $-1$ ✓ $C_3$, $S_4$, $C_3\times S_4$ 24T5036, 32T205510 x 2
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Results are complete for degrees $\leq 23$.