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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 52 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
25T102 $C_5\wr C_5$ $15625$ $1$ ✓ $C_5$ 25T102 x 124
27T423 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T423 x 17, 27T429 x 9, 27T458 x 9
27T424 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T424 x 2
27T426 $(C_3^2\times C_9).\He_3$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T426 x 2
27T428 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T428 x 8
27T429 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T423 x 18, 27T429 x 8, 27T458 x 9
27T431 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T431 x 2
27T433 $C_9^2.(C_3\times C_9)$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T433 x 8
27T434 $C_9\wr C_3$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T434 x 26
27T435 $C_3^5:C_9$ $2187$ $1$ ✓ $C_3$, $C_9:C_3$ 27T435 x 17, 27T438 x 9, 27T460 x 9
27T436 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T436 x 2
27T438 $C_3^5:C_9$ $2187$ $1$ ✓ $C_3$, $C_9$ 27T435 x 18, 27T438 x 8, 27T460 x 9
27T440 $(C_3\times C_9^2).C_9$ $2187$ $1$ ✓ $C_3$, $C_9:C_3$ 27T440 x 8
27T442 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T442 x 8
27T443 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T443 x 2
27T444 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T444 x 2
27T450 $C_3^5.C_9$ $2187$ $1$ ✓ $C_3$, $C_9$ 27T450 x 8
27T454 $(C_3^2\times C_9).\He_3$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T454 x 2
27T455 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T455 x 2
27T458 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T423 x 18, 27T429 x 9, 27T458 x 8
27T460 $C_3^5:C_9$ $2187$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T435 x 18, 27T438 x 9, 27T460 x 8
27T687 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T687 x 8
27T688 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_9:C_3$ 27T688 x 26, 27T708 x 9
27T693 $C_9^3:C_3^2$ $6561$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T693 x 26
27T694 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T694 x 26, 27T718 x 9
27T696 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T696 x 8
27T697 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T697 x 8
27T699 $(C_3\times C_9^2).\He_3$ $6561$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T699 x 8
27T702 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T702 x 8
27T705 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T705 x 8
27T708 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T688 x 27, 27T708 x 8
27T710 $(C_3\times C_9^2).\He_3$ $6561$ $1$ ✓ $C_3$, $C_9:C_3$ 27T710 x 8
27T714 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T714 x 8
27T718 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T694 x 27, 27T718 x 8
27T719 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T719 x 8
27T720 $C_3^5.\He_3$ $6561$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T720 x 8
27T962 $C_3^6.\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T962 x 8
27T966 $C_3^6.\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T966 x 8
27T967 $C_3^6:\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T967 x 26, 27T983 x 81
27T969 $C_3^6.\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T969 x 26
27T970 $C_3^6.\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T970 x 26
27T972 $C_3^6.\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T972 x 26
27T974 $C_3^6:\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T974 x 8
27T975 $C_9^3:\He_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T975 x 26
27T976 $C_3^6.\He_3$ $19683$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T976 x 8
27T981 $C_3^7.C_3^2$ $19683$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T981 x 80
27T983 $C_3^6:\He_3$ $19683$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T967 x 27, 27T983 x 80
27T988 $C_3^7.C_3^2$ $19683$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T988 x 80
27T1204 $C_3^7.C_3^3$ $59049$ $1$ ✓ $C_3$ x 4, $C_3^2$ 27T1204 x 242
27T1214 $C_3^6.(C_3\times \He_3)$ $59049$ $1$ ✓ $C_3$, $C_3^2:C_3$ 27T1214 x 26
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Results are complete for degrees $\leq 23$.