Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 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×#14273757 | C2 | semidirect |
| 2. D4×Dic118 | C2 | semidirect |
| 3. #16837774 | C2 | semidirect |
| 4. #16837646 | C2 | semidirect |
| 5. #16837612 | C2 | semidirect |
| 6. #16837599 | C2 | semidirect |
| 7. #16837564 | C2 | semidirect |
| 8. #16837540 | C2 | semidirect |
| 9. C4×#11745672 | C2 | semidirect |
| 10. #16837480 | C2 | semidirect |
| 68. #11745672 | D4 | semidirect |
| 125. C4×C59 | #137 | semidirect |
| 148. C59 | #3278 | semidirect |
| 265. C4 | #14273757 | semidirect |