Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 129 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×#14273759 | C2 | semidirect |
| 2. #16838064 | C2 | semidirect |
| 3. #16837786 | C2 | semidirect |
| 4. #16837649 | C2 | semidirect |
| 5. #16837624 | C2 | semidirect |
| 6. #16837559 | C2 | semidirect |
| 7. #16837550 | C2 | semidirect |
| 8. #16837481 | C2 | semidirect |
| 9. C4×Q16×C59 | C2 | semidirect |
| 50. Q16×C59 | D4 | semidirect |
| 125. C4×Q16 | D59 | semidirect |
| 127. C59 | #3277 | semidirect |
| 170. Q16 | D236 | semidirect |