Finite Group DatabasebetaFinite Group DatabasebetaOrder 22976.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#19153328 | C2 | semidirect |
| 3. #26039991 | C2 | semidirect |
| 4. #26039939 | C2 | semidirect |
| 5. #26039937 | C2 | semidirect |
| 6. (C2×D359)⋊C8 | C2 | semidirect |
| 7. C2×Q16×C359 | C2 | semidirect |
| 60. C359 | #452 | semidirect |
| 63. C2×Q16 | D359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19153342 | 2 |
| C2×#19153328 | 2 |
| #26039991 | 2 |
| #26039939 | 2 |
| #26039937 | 2 |
| (C2×D359)⋊C8 | 2 |
| C2×Q16×C359 | 2 |
| #452 | 359 |