Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
204 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 61 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. #26038488 | C2 | semidirect |
| 4. #26038210 | C2 | semidirect |
| 5. #26038209 | C2 | semidirect |
| 6. #26038195 | C2 | semidirect |
| 85. C179 | #2081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038488 | 2 |
| #26038444 | 2 |
| C2×#19153030 | 2 |
| #26038210 | 2 |
| #26038209 | 2 |
| #26038195 | 2 |
| #418×C179 | 2 |
| #2081 | 179 |