Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14273758 | C2 | semidirect |
| 3. C4×#11745685 | C2 | semidirect |
| 4. #16837621 | C2 | semidirect |
| 5. #16837614 | C2 | semidirect |
| 6. #16837426 | C2 | semidirect |
| 7. #16837411 | C2 | semidirect |
| 8. #16837407 | C2 | semidirect |
| 9. C2×#124×C59 | C2 | semidirect |
| 13. C2×#11745672 | C22 | semidirect |
| 15. C2×#11745671 | C22 | semidirect |
| 19. C4×Dic118 | C22 | semidirect |
| 20. C4×D236 | C22 | semidirect |
| 25. C4⋊(C59⋊C8) | C22 | semidirect |
| 26. #14273651 | C22 | semidirect |
| 128. C2×#124 | D59 | semidirect |
| 135. C59 | #3040 | semidirect |