Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 153 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. #16837624 | C2 | semidirect |
| 4. #16837612 | C2 | semidirect |
| 5. #16837602 | C2 | semidirect |
| 6. #16837426 | C2 | semidirect |
| 7. #16837401 | C2 | semidirect |
| 8. C2×C4×Q8×C59 | C2 | semidirect |
| 36. C2×Q8×C59 | D4 | semidirect |
| 111. C4×C59 | #137 | semidirect |
| 123. C2×C4×Q8 | D59 | semidirect |
| 129. C59 | #3037 | semidirect |
| 160. C2×Q8 | D236 | semidirect |
| 233. C4 | #14273758 | semidirect |