Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
180 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 56 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. #17989622 | C2 | semidirect |
| 2. #17989621 | C2 | semidirect |
| 3. #17989451 | C2 | semidirect |
| 4. #17989435 | C2 | semidirect |
| 5. D4⋊#10596833 | C2 | semidirect |
| 6. C8×#10596833 | C2 | semidirect |
| 61. #10596833 | D8 | semidirect |
| 63. #10596831 | M16 | semidirect |
| 84. C73 | #1589 | semidirect |