Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
186 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 51 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×#14273668 | C2 | semidirect |
| 2. #16837777 | C2 | semidirect |
| 3. D8×Dic59 | C2 | semidirect |
| 4. Dic59⋊C16 | C2 | semidirect |
| 5. #16837204 | C2 | semidirect |
| 6. #16837203 | C2 | semidirect |
| 7. C2×D16×C59 | C2 | semidirect |
| 30. D8×C59 | D4 | semidirect |
| 74. Dic59 | D16 | semidirect |
| 83. C2×D16 | D59 | semidirect |
| 89. C59 | #2206 | semidirect |
| 115. D8 | C22⋊D59 | semidirect |