↑

Learn more

Refine search

Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
Sort order Select

Results (1-50 of 162 matches)

Next   displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
32T2799396 $C_2^{16}.C_3^7.\SO(3,7)$ $48157949952$ $1$ $\PGL(2,7)$
32T2799397 $C_2^{16}.C_3^7.\SO(3,7)$ $48157949952$ $1$ $\PGL(2,7)$
32T2799399 $C_2^{16}.C_3^7.C_2.\PSL(2,7)$ $48157949952$ $1$ $\PSL(2,7)$
32T2799401 $\PSL(2,7)^4.C_2\wr C_2^2$ $50982027264$ $1$ $C_2$, $D_{4}$
32T2799402 $\PSL(2,7)^4.C_2\wr C_4$ $50982027264$ $-1$ $C_2$, $D_{4}$
32T2799403 $\PSL(2,7)^4.C_4^2:C_4$ $50982027264$ $-1$ $C_2$, $D_{4}$
32T2799404 $\PSL(2,7)^4.D_4:D_4$ $50982027264$ $-1$ $C_2$, $D_{4}$
32T2799405 $\PSL(2,7)^4.C_2\wr C_4$ $50982027264$ $-1$ $C_2$, $C_4$
32T2799406 $\PSL(2,7)^4.C_2\wr C_2^2$ $50982027264$ $-1$ $C_2$ x 3, $C_2^2$
32T2799704 $C_2^{14}.C_2^6.\PSL(2,7)^2.C_2$ $59190018048$ $1$ $C_2$, $C_2^6.\GL(3,2)\wr C_2$
32T2799713 $C_2^{16}.C_3.C_3^7.\PSL(2,7)$ $72236924928$ $1$ $\PSL(2,7)$
32T2799714 $\PSL(2,7)^4.C_2^3.A_4$ $76473040896$ $1$ $A_4$
32T2799753 $C_2^{15}.C_2.C_2^6.A_8$ $84557168640$ $1$ $A_8$, $C_2^7.A_8$ 32T2799753
32T2799768 $C_2^{16}.C_3^7.C_2.\SO(3,7)$ $96315899904$ $1$ $\PGL(2,7)$
32T2799769 $\PSL(2,7)^4.D_4^2.C_2$ $101964054528$ $-1$ $C_2$, $D_{4}$
32T2800071 $C_2^{15}.C_2.\PSL(2,7)^2.C_2$ $118380036096$ $1$ $C_2$, $C_2^6.\GL(3,2)\wr C_2$ 32T2800071
32T2800072 $C_2^{15}.C_2.\PSL(2,7)^2.C_2$ $118380036096$ $-1$ $C_2$, $C_2^6.\GL(3,2)\wr C_2$ 32T2800072
32T2800081 $C_2^{16}.C_3^7.C_3.\SO(3,7)$ $144473849856$ $1$ $\PGL(2,7)$
32T2800082 $C_2^{16}.C_3.C_3^7.\SO(3,7)$ $144473849856$ $1$ $\PGL(2,7)$
32T2800083 $C_2^{16}.C_3^8.\SL(2,7)$ $144473849856$ $1$ $\PSL(2,7)$
32T2800085 $C_2^{16}.C_3.S_3.\PSL(2,7)$ $144473849856$ $1$ $\PSL(2,7)$
32T2800086 $\PSL(2,7)^4.Q_8.S_4$ $152946081792$ $-1$ $S_4$
32T2800087 $\PSL(2,7)^4.C_2^3.S_4$ $152946081792$ $1$ $S_4$
32T2800088 $\PSL(2,7)^4.C_2\wr A_4$ $152946081792$ $-1$ $A_4$
32T2800160 $C_2^{16}.C_2.C_2^6.A_8$ $169114337280$ $1$ $A_8$, $C_2^7.C_{3276}$ 32T2800160, 32T2800166 x 2
32T2800161 $C_4^8.C_2.C_2^6.A_8$ $169114337280$ $-1$ $A_8$, $C_2^7.C_{3276}$ 32T2800161 x 3
32T2800162 $C_2^{15}.C_2.C_2^6.A_8.C_2$ $169114337280$ $1$ $S_8$, $C_2^7.S_8$ 32T2800162 x 3
32T2800163 $C_2^{15}.C_2.C_2^6.A_8.C_2$ $169114337280$ $-1$ $S_8$, $C_2^7.S_8$ 32T2800163, 32T2800164 x 2
32T2800164 $C_2^{15}.C_2.C_2^6.A_8.C_2$ $169114337280$ $1$ $S_8$, $C_2^7.S_8$ 32T2800163 x 2, 32T2800164
32T2800165 $C_2^{15}.C_2.C_2^6.A_8.C_2$ $169114337280$ $-1$ $S_8$, $C_2^7.S_8$ 32T2800165 x 3
32T2800166 $C_2^{16}.C_2.C_2^6.A_8$ $169114337280$ $-1$ $A_8$, $C_2^7.A_8$ 32T2800160 x 2, 32T2800166
32T2800168 $C_2^{16}.C_3^7.C_2^3.\PSL(2,7)$ $192631799808$ $1$ $C_2^3:\GL(3,2)$
32T2800169 $C_2^8.A_8\wr C_2$ $208089907200$ $1$ $C_2$
32T2800437 $C_2^{16}.C_2.\PSL(2,7)^2.C_2$ $236760072192$ $-1$ $C_2$, $C_2^6.\GL(3,2)\wr C_2$ 32T2800437 x 3
32T2800451 $C_2^{16}.C_3^7.S_3.\SO(3,7)$ $288947699712$ $1$ $\PGL(2,7)$
32T2800452 $C_2^{16}.C_3^8.\SL(2,7).C_2$ $288947699712$ $-1$ $\PGL(2,7)$
32T2800453 $\PSL(2,7)^4.C_2\wr A_4.C_2$ $305892163584$ $-1$ $S_4$
32T2800485 $C_2^{16}.C_2.C_2^6.A_8.C_2$ $338228674560$ $1$ $S_8$, $C_2^8.S_8$ 32T2800485 x 3, 32T2800490 x 4
32T2800486 $C_4^8.C_2.C_2^6.A_8.C_2$ $338228674560$ $-1$ $S_8$, $C_2^8.S_8$ 32T2800486 x 7
32T2800487 $C_2^{16}.C_2.C_2^6.A_8.C_2$ $338228674560$ $-1$ $S_8$, $C_2^8.S_8$ 32T2800487 x 3, 32T2800491 x 4
32T2800488 $C_4^8.C_2.C_2^6.A_8.C_2$ $338228674560$ $-1$ $S_8$, $C_2^8.S_8$ 32T2800488 x 7
32T2800489 $C_4^8.C_2.C_2^6.A_8.C_2$ $338228674560$ $-1$ $A_8$, $C_2^7.C_{3276}$ 32T2800489 x 7
32T2800490 $C_2^{16}.C_2.C_2^6.A_8.C_2$ $338228674560$ $-1$ $S_8$, $C_2^7.S_8$ 32T2800485 x 4, 32T2800490 x 3
32T2800491 $C_2^{16}.C_2.C_2^6.A_8.C_2$ $338228674560$ $-1$ $S_8$, $C_2^7.S_8$ 32T2800487 x 4, 32T2800491 x 3
32T2800492 $C_2^{16}.C_3^7.C_2^4.\PSL(2,7)$ $385263599616$ $1$ $C_2^3:\GL(3,2)$
32T2800715 $C_2^{16}.C_3^7.C_3.C_2^3.\PSL(2,7)$ $577895399424$ $1$ $C_2^3:\GL(3,2)$
32T2800740 $C_4^8.C_2.C_2^6.A_8.C_2^2$ $676457349120$ $-1$ $S_8$, $C_2^8.S_8$ 32T2800740 x 15
32T2800911 $C_2^{16}.C_3^8.C_2^4.\PSL(2,7)$ $1155790798848$ $1$ $C_2^3:\GL(3,2)$
32T2800912 $C_2^{16}.C_3.S_3.C_2.\PSL(2,7)$ $1155790798848$ $1$ $C_2^3:\GL(3,2)$
32T2800913 $C_2^{16}.C_3^8.C_2^4.\PSL(2,7)$ $1155790798848$ $1$ $\PSL(2,7)$
Next   displayed columns for results

Results are complete for degrees $\leq 23$.