Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16837781 | C2 | semidirect |
| 4. #16837658 | C2 | semidirect |
| 5. #16837612 | C2 | semidirect |
| 6. #16837604 | C2 | semidirect |
| 7. #16837562 | C2 | semidirect |
| 8. #16837558 | C2 | semidirect |
| 9. C4×#11745671 | C2 | semidirect |
| 10. #16837480 | C2 | semidirect |
| 11. D4×Q8×C59 | C2 | semidirect |
| 72. #11745671 | D4 | semidirect |
| 124. C4×C59 | #137 | semidirect |
| 136. D4×Q8 | D59 | semidirect |
| 146. C59 | #3276 | semidirect |
| 261. C4 | #14273758 | semidirect |