Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 3. #16837227 | C2 | semidirect |
| 4. #16837206 | C2 | semidirect |
| 6. #16837178 | C2 | semidirect |
| 7. C4×Q16×C59 | C2 | semidirect |
| 10. #14273670 | C4 | semidirect |
| 24. Q16×C59 | C2×C4 | semidirect |
| 36. C59⋊C16 | C2×C4 | semidirect |
| 69. C4×Q16 | D59 | semidirect |
| 75. C59 | #2175 | semidirect |
| 92. Q16 | C4×D59 | semidirect |