Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
196 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 57 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×#14556536 | C2 | semidirect |
| 2. C2×#14556535 | C2 | semidirect |
| 3. C2×#14556534 | C2 | semidirect |
| 4. #17988965 | C2 | semidirect |
| 6. C16×Dic73 | C2 | semidirect |
| 7. C2×SD32×C73 | C2 | semidirect |
| 35. #11924003 | D4 | semidirect |
| 43. C16×C73 | D4 | semidirect |
| 71. Dic73 | SD32 | semidirect |
| 77. C73 | #2248 | semidirect |
| 81. C2×SD32 | D73 | semidirect |
| 120. C16 | C22⋊D73 | semidirect |