Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
260 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 89 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. #26038477 | C2 | semidirect |
| 4. #26038195 | C2 | semidirect |
| 5. #427×C179 | C2 | semidirect |
| 12. C2×#15668242 | C4 | semidirect |
| 13. C2×C8×D179 | C4 | semidirect |
| 92. C179 | #1812 | semidirect |
| 96. #427 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19153119 | 2 |
| #26038477 | 2 |
| #26038412 | 2 |
| #26038195 | 2 |
| #427×C179 | 2 |
| #1812 | 179 |