Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
382 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 2. #16837978 | C2 | semidirect |
| 3. C2×#14273714 | C2 | semidirect |
| 4. C2×#14273653 | C2 | semidirect |
| 5. C2×#14273645 | C2 | semidirect |
| 6. #16837161 | C2 | semidirect |
| 7. C59×#418 | C2 | semidirect |
| 135. #418 | D59 | semidirect |
| 138. C59 | #2003 | semidirect |