Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 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 |
|---|---|---|
| 4. #26038199 | C2 | semidirect |
| 5. #26038196 | C2 | semidirect |
| 6. #26038195 | C2 | semidirect |
| 7. #339×C179 | C2 | semidirect |
| 15. #19153070 | C4 | semidirect |
| 16. C42×D179 | C4 | semidirect |
| 102. C179 | #1827 | semidirect |
| 108. #339 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#15668259 | 2 |
| #26038421 | 2 |
| #26038412 | 2 |
| #26038199 | 2 |
| #26038196 | 2 |
| #26038195 | 2 |
| #339×C179 | 2 |
| #1827 | 179 |