Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
328 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 87 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. #17988313 | C2 | semidirect |
| 4. #17988312 | C2 | semidirect |
| 5. #324×C73 | C2 | semidirect |
| 30. C2×C4×D73 | C8 | semidirect |
| 55. C2×C4×C73 | C2×C8 | semidirect |
| 63. C2×Dic73 | C2×C8 | semidirect |
| 97. D73 | #324 | direct (N × H) |
| 99. C73 | C2×#324 | semidirect |
| 104. #324 | D73 | direct (N × H) |
| 167. C2×C4 | C8×D73 | semidirect |