Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
334 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #26038447 | C2 | semidirect |
| 4. #26038344 | C2 | semidirect |
| 5. #26038208 | C2 | semidirect |
| 6. #26038198 | C2 | semidirect |
| 10. #19153143 | C4 | semidirect |
| 33. C2×Dic358 | C2×C4 | semidirect |
| 41. #15668243 | C2×C4 | semidirect |
| 124. C179 | #1882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19153143 | 2 |
| C2×#19153040 | 2 |
| #26038447 | 2 |
| #26038344 | 2 |
| #26038208 | 2 |
| #26038198 | 2 |
| #520×C179 | 2 |
| #1882 | 179 |