Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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×#14556530 | C2 | semidirect |
| 2. #17988820 | C2 | semidirect |
| 3. #17988415 | C2 | semidirect |
| 4. #17988388 | C2 | semidirect |
| 5. C2×D16×C73 | C2 | semidirect |
| 27. C16×C73 | D4 | semidirect |
| 56. C73 | #2218 | semidirect |
| 57. C2×D16 | D73 | semidirect |
| 83. C16 | C22⋊D73 | semidirect |