Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
174 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 174 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×#14273670 | C2 | semidirect |
| 3. Q16×Dic59 | C2 | semidirect |
| 4. Dic59⋊C16 | C2 | semidirect |
| 5. #16837204 | C2 | semidirect |
| 6. #16837203 | C2 | semidirect |
| 7. C2×SD32×C59 | C2 | semidirect |
| 27. Q16×C59 | D4 | semidirect |
| 71. Dic59 | SD32 | semidirect |
| 79. C2×SD32 | D59 | semidirect |
| 85. C59 | #2207 | semidirect |
| 105. Q16 | C22⋊D59 | semidirect |