Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
332 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 9. C4×Dic118 | C4 | semidirect |
| 13. #14273650 | C4 | direct (N × H) |
| 60. Dic118 | C42 | semidirect |
| 69. C4×C59 | #103 | semidirect |
| 86. C59 | C4×#103 | semidirect |
| 152. C4 | #14273650 | direct (N × H) |