Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
332 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 2. C2×#14273733 | C2 | semidirect |
| 3. #16837404 | C2 | semidirect |
| 4. C2×#14273649 | C2 | semidirect |
| 5. C2×#14273643 | C2 | semidirect |
| 6. #16837170 | C2 | semidirect |
| 7. C59×#341 | C2 | semidirect |
| 11. #14273755 | C4 | semidirect |
| 130. #341 | D59 | semidirect |
| 131. C59 | #1907 | semidirect |