Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
438 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#19153075 | C2 | semidirect |
| 3. C2×#19153033 | C2 | semidirect |
| 4. C2×#19153033 | C2 | semidirect |
| 5. #26038340 | C2 | semidirect |
| 6. #26038193 | C2 | semidirect |
| 7. #340×C179 | C2 | semidirect |
| 13. C2×D1432 | C4 | semidirect |
| 37. C2×D716 | C2×C4 | semidirect |
| 59. C2×C8×C179 | C2×C4 | semidirect |
| 85. D716 | C22⋊C4 | semidirect |
| 91. C2×Dic179 | D8 | semidirect |
| 146. C179 | #1879 | semidirect |
| 153. #340 | D179 | semidirect |
| 201. C2×C8 | C4×D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D1432 | 2 |
| C2×#19153075 | 2 |
| C2×#19153033 | 2 |
| #26038340 | 2 |
| #26038193 | 2 |
| #340×C179 | 2 |
| #1879 | 179 |