Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14273749 | C2 | semidirect |
| 2. #16838057 | C2 | semidirect |
| 3. #16837782 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 5. #16837608 | C2 | semidirect |
| 6. #16837566 | C2 | semidirect |
| 7. C4×D472 | C2 | semidirect |
| 8. C8×D4×C59 | C2 | semidirect |
| 53. D472 | D4 | semidirect |
| 85. C4×C59 | #135 | semidirect |
| 103. C8×D4 | D59 | semidirect |
| 104. C59 | #3283 | semidirect |
| 183. C4 | #14273749 | semidirect |