Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
284 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 73 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. #26038302 | C2 | semidirect |
| 3. #26038177 | C2 | semidirect |
| 4. #26038174 | C2 | semidirect |
| 5. C2×C22⋊C8×C179 | C2 | semidirect |
| 6. C2×#15668259 | C4 | semidirect |
| 8. #19153092 | C4 | semidirect |
| 10. #19153087 | C4 | semidirect |
| 15. #19153072 | C4 | semidirect |
| 111. C179 | #1516 | semidirect |
| 114. C2×C22⋊C8 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038950 | 2 |
| #26038302 | 2 |
| #26038177 | 2 |
| #26038174 | 2 |
| C2×C22⋊C8×C179 | 2 |
| #1516 | 179 |