Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. C2×#14273719 | C2 | semidirect |
| 2. #16837808 | C2 | semidirect |
| 3. #16837766 | C2 | semidirect |
| 4. #16837718 | C2 | semidirect |
| 5. #16837713 | C2 | semidirect |
| 6. #16837702 | C2 | semidirect |
| 7. #16837459 | C2 | semidirect |
| 115. C59 | #3234 | semidirect |