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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 81 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
26T39 $\PSL(3,3)$ $5616$ $1$ $\PSL(3,3)$ 13T7 x 2, 26T39, 39T43 x 2
26T47 $\GL(3,3)$ $11232$ $-1$ $\PSL(3,3)$ 26T47, 26T48 x 2
26T48 $\GL(3,3)$ $11232$ $-1$ $C_2$, $\PSL(3,3)$ 26T47 x 2, 26T48
26T82 $\PSL(3,3)\wr C_2$ $63078912$ $-1$ $C_2$ 26T82
27T423 $C_3^4.\He_3$ $2187$ $1$ ✓ $C_3$, $C_3 \wr C_3 $ 27T423 x 17, 27T429 x 9, 27T458 x 9
27T639 $C_3^3.C_3\wr S_3$ $4374$ $-1$ ✓ $C_3$, $(C_3^3:C_3):C_2$ 27T635 x 3, 27T639 x 5, 27T647 x 3
27T748 $C_3^3:\He_3:A_4$ $8748$ $1$ ✓ $C_3$, $((C_3 \times (C_3^2 : C_2)) : C_2) : C_3$ 27T748 x 5, 36T7680, 36T7682, 36T7683
27T928 $C_3^3.S_3\wr C_3$ $17496$ $-1$ ✓ $C_3$, $S_3 \wr C_3 $ 27T928, 36T10918, 36T10919, 36T10920
28T43 $C_2\times \GL(3,2)$ $336$ $1$ $C_2$, $\GL(3,2)$, $\PSL(2,7)$, $C_2\times \GL(3,2)$, $\GL(3,2) \times C_2$ 14T17 x 2, 14T19 x 2, 16T714, 28T43, 42T78, 42T79, 42T80 x 2
28T50 $C_7:D_{28}$ $392$ $-1$ ✓ $C_2$, $D_{4}$, $D_7^2$ 28T50 x 5
28T63 $C_2^3:F_8$ $448$ $1$ ✓ $C_7$, $C_2^3:F_8$ x 3 14T21 x 7, 28T62 x 21, 28T63 x 13, 28T64 x 42, 28T65 x 7, 28T66 x 7
28T84 $C_2^2\times \GL(3,2)$ $672$ $1$ $C_2$, $\GL(3,2)$, $C_2\times \GL(3,2)$ x 2, $\GL(3,2) \times C_2$ 28T84 x 5, 28T88 x 2, 32T34618
28T86 $C_4\times \GL(3,2)$ $672$ $-1$ $C_2$, $\GL(3,2)$, $\GL(3,2) \times C_2$ 28T86, 28T87 x 2, 32T34621
28T87 $C_4\times \GL(3,2)$ $672$ $-1$ $C_2$, $C_4$, $\GL(3,2)$, $\GL(3,2) \times C_2$ 28T86 x 2, 28T87, 32T34621
28T88 $C_2^2\times \GL(3,2)$ $672$ $1$ $C_2$ x 3, $C_2^2$, $\GL(3,2)$, $\GL(3,2) \times C_2$ x 3 28T84 x 6, 28T88, 32T34618
28T111 $C_2\wr C_7$ $896$ $1$ ✓ $C_7$, $C_2^3:F_8$, $C_2 \wr C_7$ x 2 14T29 x 7, 28T104 x 7, 28T110 x 21, 28T111 x 41, 28T112 x 42, 28T113 x 21, 28T114 x 42, 28T115 x 42, 28T116 x 14, 28T117 x 42, 28T118 x 7
28T117 $C_2\wr C_7$ $896$ $1$ ✓ $C_7$, $C_2^3:F_8$, $C_2 \wr C_7$ x 2 14T29 x 7, 28T104 x 7, 28T110 x 21, 28T111 x 42, 28T112 x 42, 28T113 x 21, 28T114 x 42, 28T115 x 42, 28T116 x 14, 28T117 x 41, 28T118 x 7
28T127 $D_{14}:F_7$ $1176$ $-1$ ✓ $C_2$, $D_{4}$, $D_7:F_7$ 28T127 x 5
28T130 $(C_7\times C_{14}).D_6$ $1176$ $-1$ ✓ $C_2$, $D_{4}$, $C_7^2:D_6$ 28T130
28T146 $\GL(3,2):D_4$ $1344$ $-1$ $C_2$, $\PGL(2,7)$ 28T146, 28T147 x 2, 32T96724, 32T96728
28T147 $\GL(3,2):D_4$ $1344$ $-1$ $C_2$, $D_{4}$, $\PGL(2,7)$ 28T146 x 2, 28T147, 32T96724, 32T96728
28T148 $D_4\times \GL(3,2)$ $1344$ $-1$ $C_2$, $\GL(3,2)$, $\GL(3,2) \times C_2$ 28T148 x 3, 28T149 x 4, 32T96730 x 2
28T149 $D_4\times \GL(3,2)$ $1344$ $-1$ $C_2$, $D_{4}$, $\GL(3,2)$, $\GL(3,2) \times C_2$ 28T148 x 4, 28T149 x 3, 32T96730 x 2
28T155 $C_2^3:F_8:C_3$ $1344$ $1$ ✓ $C_7:C_3$ 14T35, 28T154, 28T155, 28T157, 42T202, 42T204, 42T205
28T190 $C_2^5:F_8$ $1792$ $1$ ✓ $C_7$, $C_2 \wr C_7$ x 3 28T187 x 252, 28T188 x 42, 28T189 x 21, 28T190 x 83, 28T191 x 126, 28T192 x 42
28T191 $C_2^5:F_8$ $1792$ $1$ ✓ $C_7$, $C_2 \wr C_7$ x 3 28T187 x 252, 28T188 x 42, 28T189 x 21, 28T190 x 84, 28T191 x 125, 28T192 x 42
28T198 $A_4\times \GL(3,2)$ $2016$ $1$ $A_4$, $\GL(3,2)$ 28T198, 32T97744, 42T261 x 2, 42T262 x 2
28T248 $C_7^2:C_6\wr C_2$ $3528$ $-1$ ✓ $C_2$, $D_{4}$, $C_7^2:(C_6\times S_3)$ 28T248
28T262 $C_2^6.F_8$ $3584$ $1$ ✓ $C_7$, $F_8$ 28T262 x 5, 28T263 x 6
28T263 $C_2^6.F_8$ $3584$ $1$ ✓ $C_7$, $F_8$ 28T262 x 6, 28T263 x 5
28T271 $C_2^8:D_7$ $3584$ $-1$ ✓ $D_{7}$, $C_2\wr D_7$ 28T256 x 7, 28T257 x 7, 28T261 x 2, 28T271 x 41, 28T272 x 14, 32T206819 x 2
28T274 $S_4\times \GL(3,2)$ $4032$ $-1$ $S_4$, $\GL(3,2)$ 28T274, 32T206831, 42T382 x 2, 42T383 x 2, 42T384 x 2, 42T385 x 2
28T281 $\PSL(2,13):C_4$ $4368$ $-1$ $\PGL(2,13)$ 28T281
28T320 $C_2^3.F_8:A_4$ $5376$ $1$ ✓ $C_7:C_3$ 28T319 x 3, 28T320 x 5, 42T444 x 3, 42T445 x 3, 42T446
28T333 $C_2^7.F_8$ $7168$ $1$ ✓ $C_7$, $F_8$ 28T333 x 5, 28T334 x 6
28T334 $C_2^7.F_8$ $7168$ $1$ ✓ $C_7$, $F_8$ 28T333 x 6, 28T334 x 5
28T405 $C_2.(C_{166}\times D_{21})$ $14336$ $-1$ ✓ $C_7$, $C_2\times F_8$ 28T405 x 3, 28T408 x 4
28T408 $C_2.(C_{166}\times D_{21})$ $14336$ $-1$ ✓ $C_7$, $C_2\times F_8$ 28T405 x 4, 28T408 x 3
28T542 $C_2^8:\GL(3,2)$ $43008$ $1$ $\GL(3,2)$ 28T542, 28T543 x 2, 32T1515377, 42T947, 42T948, 42T949 x 2
28T546 $\GL(3,2)\wr C_2$ $56448$ $1$ $C_2$, $\GL(3,2)\wr C_2$ 14T52 x 2, 16T1861, 28T546, 42T1003
28T561 $C_2^6.C_2^4:F_8$ $57344$ $1$ ✓ $C_7$, $C_2^3:F_8$ 28T561 x 31
28T665 $\GL(3,2)^2:C_4$ $112896$ $-1$ $C_2$, $\GL(3,2)\wr C_2$ 28T665, 28T666 x 2, 32T1838593
28T666 $\GL(3,2)^2:C_4$ $112896$ $-1$ $C_2$, $C_4$, $\GL(3,2)\wr C_2$ 28T665 x 2, 28T666, 32T1838593
28T667 $\GL(3,2)^2:C_2^2$ $112896$ $1$ $C_2$, $\GL(3,2)\wr C_2$ 28T667, 28T668 x 2, 32T1838592
28T668 $\GL(3,2)^2:C_2^2$ $112896$ $1$ $C_2$ x 3, $C_2^2$, $\GL(3,2)\wr C_2$ 28T667 x 2, 28T668, 32T1838592
28T744 $C_2^7.C_2\wr C_7$ $114688$ $-1$ ✓ $C_7$, $C_2 \wr C_7$ 28T744 x 63
28T867 $\GL(3,2)^2:D_4$ $225792$ $-1$ $C_2$, $\GL(3,2)\wr C_2$ 28T867 x 3, 28T868 x 4, 32T2081915 x 2
28T868 $\GL(3,2)^2:D_4$ $225792$ $-1$ $C_2$, $D_{4}$, $\GL(3,2)\wr C_2$ 28T867 x 4, 28T868 x 3, 32T2081915 x 2
28T1720 $\PSL(2,7)\wr C_4$ $3186376704$ $-1$ $C_2$, $C_4$ 28T1720, 32T2797891
28T1721 $\PSL(2,7)\wr C_2^2$ $3186376704$ $1$ $C_2$ x 3, $C_2^2$ 28T1721, 32T2797892
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Results are complete for degrees $\leq 23$.