Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
210 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 63 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. #26038487 | C2 | semidirect |
| 2. #26038465 | C2 | semidirect |
| 6. #26038195 | C2 | semidirect |
| 7. #424×C179 | C2 | semidirect |
| 89. C179 | #2098 | semidirect |
| 93. #424 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038487 | 2 |
| #26038465 | 2 |
| #26038457 | 2 |
| #26038455 | 2 |
| #26038405 | 2 |
| #26038195 | 2 |
| #424×C179 | 2 |
| #2098 | 179 |