Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
552 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 157 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×#14273758 | C2 | semidirect |
| 3. #16837794 | C2 | semidirect |
| 4. #16837781 | C2 | semidirect |
| 5. #16837776 | C2 | semidirect |
| 6. C4×#11745664 | C2 | semidirect |
| 7. C2×C4⋊Q8×C59 | C2 | semidirect |
| 47. #11745664 | D4 | semidirect |
| 76. C4×C59 | #137 | semidirect |
| 86. C2×C4⋊Q8 | D59 | semidirect |
| 91. C59 | #3152 | semidirect |
| 161. C4 | #14273758 | semidirect |