Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 2. #17988664 | C2 | semidirect |
| 3. D4×#10596831 | C2 | semidirect |
| 4. #17988337 | C2 | semidirect |
| 5. #17988316 | C2 | semidirect |
| 6. #17988308 | C2 | semidirect |
| 7. D4⋊C8×C73 | C2 | semidirect |
| 45. D4×C73 | M16 | semidirect |
| 84. C73 | #1586 | semidirect |
| 90. D4⋊C8 | D73 | semidirect |
| 131. D4 | #11924011 | semidirect |