Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 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 |
|---|---|---|
| 2. #26038557 | C2 | semidirect |
| 3. #26038269 | C2 | semidirect |
| 4. #26038247 | C2 | semidirect |
| 5. C4×C16×C179 | C2 | semidirect |
| 8. Dic1432 | C4 | semidirect |
| 9. #19153058 | C4 | semidirect |
| 10. D2864 | C4 | semidirect |
| 49. C179 | #2178 | semidirect |
| 55. C4×C16 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038871 | 2 |
| #26038557 | 2 |
| #26038269 | 2 |
| #26038247 | 2 |
| C4×C16×C179 | 2 |
| #2178 | 179 |