Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
402 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #16837309 | C2 | semidirect |
| 5. #16837164 | C2 | semidirect |
| 6. #16837156 | C2 | semidirect |
| 7. C2×#103×C59 | C2 | semidirect |
| 12. C2×#11745671 | C4 | semidirect |
| 32. C2×Q8×C59 | C2×C4 | semidirect |
| 61. C2×C59⋊C8 | C2×C4 | semidirect |
| 94. C2×Dic59 | SD16 | semidirect |
| 136. C2×#103 | D59 | semidirect |
| 141. C59 | #1877 | semidirect |
| 166. C2×Q8 | C4×D59 | semidirect |