Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 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. #26038496 | C2 | semidirect |
| 3. #26038180 | C2 | semidirect |
| 4. #26038178 | C2 | semidirect |
| 5. C2×#97×C179 | C2 | semidirect |
| 90. C179 | #1532 | semidirect |
| 94. C2×#97 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038973 | 2 |
| #26038496 | 2 |
| #26038180 | 2 |
| #26038178 | 2 |
| C2×#97×C179 | 2 |
| #1532 | 179 |