Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #16837955 | C2 | semidirect |
| 5. #16837174 | C2 | semidirect |
| 6. #16837161 | C2 | semidirect |
| 7. C59×H(3,ℤ/4) | C2 | semidirect |
| 30. C2×D236 | Q8 | semidirect |
| 33. C2×Dic118 | Q8 | semidirect |
| 109. H(3,ℤ/4) | D59 | semidirect |
| 110. C59 | #2031 | semidirect |