Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
334 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 334 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 |
|---|---|---|
| 4. #16837411 | C2 | semidirect |
| 5. #16837171 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 7. C59×#391 | C2 | semidirect |
| 10. #14273758 | C4 | semidirect |
| 33. C2×Q8×C59 | C2×C4 | semidirect |
| 63. #11745664 | C2×C4 | semidirect |
| 129. #391 | D59 | semidirect |
| 132. C59 | #1882 | semidirect |
| 163. C2×Q8 | C4×D59 | semidirect |