Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
152 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 3. #17989512 | C2 | semidirect |
| 4. #17989511 | C2 | semidirect |
| 14. #14556531 | C4 | semidirect |
| 16. C16×D73 | C4 | semidirect |
| 17. M32×C73 | C4 | semidirect |
| 31. #11924003 | C2×C4 | semidirect |
| 33. C16×C73 | C2×C4 | semidirect |
| 61. D73 | #365 | semidirect |
| 63. C73 | C2×#365 | semidirect |
| 74. M32 | #64408 | semidirect |
| 96. C16 | C2×#64408 | semidirect |