Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #16837883 | C2 | semidirect |
| 3. C2×#14273653 | C2 | semidirect |
| 4. #16837408 | C2 | semidirect |
| 5. #16837303 | C2 | semidirect |
| 6. #16837163 | C2 | semidirect |
| 7. C59×#343 | C2 | semidirect |
| 11. #14273755 | C4 | semidirect |
| 42. C2×D236 | C2×C4 | semidirect |
| 50. M16×C59 | C2×C4 | semidirect |
| 95. D236 | C22⋊C4 | semidirect |
| 100. Dic118 | C22⋊C4 | semidirect |
| 138. #343 | D59 | semidirect |
| 140. C59 | #1883 | semidirect |
| 185. M16 | C4×D59 | semidirect |