Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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×#14273760 | C2 | semidirect |
| 2. C2×#14273735 | C2 | semidirect |
| 4. #16837978 | C2 | semidirect |
| 5. #16837661 | C2 | semidirect |
| 6. #16837649 | C2 | semidirect |
| 7. #16837644 | C2 | semidirect |
| 8. #16837632 | C2 | semidirect |
| 9. #16837396 | C2 | semidirect |
| 10. C2×#14273650 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 63. M16×C59 | D4 | semidirect |
| 152. #428 | D59 | semidirect |
| 155. C59 | #3063 | semidirect |
| 210. M16 | D236 | semidirect |