Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
394 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
| 3. C2×#14273715 | C2 | semidirect |
| 4. #16837412 | C2 | semidirect |
| 5. C2×#14273643 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 7. C2×#104×C59 | C2 | semidirect |
| 53. C2×Dic118 | D4 | semidirect |
| 58. C42×C59 | D4 | semidirect |
| 67. #11745664 | D4 | semidirect |
| 135. C2×#104 | D59 | semidirect |
| 139. C59 | #2004 | semidirect |
| 200. C42 | C22⋊D59 | semidirect |