Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14273775 | C2 | semidirect |
| 2. C2×#14273758 | C2 | semidirect |
| 3. C2×#14273749 | C2 | semidirect |
| 4. #16837983 | C2 | semidirect |
| 5. #16837567 | C2 | semidirect |
| 6. #16837559 | C2 | semidirect |
| 7. #16837550 | C2 | semidirect |
| 8. #16837542 | C2 | semidirect |
| 9. #16837401 | C2 | semidirect |
| 10. #16837368 | C2 | semidirect |
| 11. C2×#103×C59 | C2 | semidirect |
| 47. C2×Q8×C59 | D4 | semidirect |
| 67. #11745685 | D4 | semidirect |
| 179. C2×#103 | D59 | semidirect |
| 181. C59 | #3013 | semidirect |
| 234. C2×Q8 | D236 | semidirect |