Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
296 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 97 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×#14273663 | C2 | semidirect |
| 2. #16837411 | C2 | semidirect |
| 4. C2×#14273646 | C2 | semidirect |
| 6. #16837357 | C2 | semidirect |
| 24. C2×SD16×C59 | C4 | semidirect |
| 114. C59 | #1977 | semidirect |
| 120. C2×SD16 | Dic59 | semidirect |