Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14273672 | C2 | semidirect |
| 2. C2×#14273671 | C2 | semidirect |
| 3. C2×#14273668 | C2 | semidirect |
| 4. #16837785 | C2 | semidirect |
| 5. #16837777 | C2 | semidirect |
| 6. #16837177 | C2 | semidirect |
| 7. C2×D16×C59 | C2 | semidirect |
| 42. C16×C59 | D4 | semidirect |
| 43. C59⋊C16 | D4 | semidirect |
| 82. C2×D16 | D59 | semidirect |
| 86. C59 | #2250 | semidirect |
| 122. C16 | C22⋊D59 | semidirect |