Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
512 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 309 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 |
|---|---|---|
| 2. #16837440 | C2 | direct (N × H) |
| 3. C2×#14273661 | C2 | semidirect |
| 4. C2×#14273659 | C2 | semidirect |
| 11. #14273661 | C22 | semidirect |
| 12. #14273659 | C22 | semidirect |
| 14. C22×C8×C59 | C4 | semidirect |
| 28. C2×C8×C59 | C2×C4 | semidirect |
| 65. C2×C59 | #427 | semidirect |
| 73. C59 | C2×#427 | semidirect |
| 75. C22×C8 | Dic59 | semidirect |
| 96. C2×C8 | C2×Dic59 | semidirect |
| 132. C2 | #16837440 | direct (N × H) |