Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
320 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 125 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. C4×#11745664 | C2 | semidirect |
| 3. #16837248 | C2 | semidirect |
| 4. #16837161 | C2 | semidirect |
| 8. #14273654 | C4 | semidirect |
| 13. C4×Q8×C59 | C4 | semidirect |
| 15. C4×D4×C59 | C4 | semidirect |
| 40. C4×Dic59 | C2×C4 | semidirect |
| 42. #11745664 | C2×C4 | semidirect |
| 88. C59 | #1759 | semidirect |
| 91. C4×Q8 | Dic59 | semidirect |
| 93. C4×D4 | Dic59 | semidirect |