Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
344 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. #26038917 | C2 | semidirect |
| 3. C2×#19153032 | C2 | semidirect |
| 4. #26038199 | C2 | semidirect |
| 15. #124×C179 | C4 | semidirect |
| 79. C179 | #1888 | semidirect |
| 90. #124 | Dic179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038917 | 2 |
| #26038444 | 2 |
| C2×#19153032 | 2 |
| #26038199 | 2 |
| C2×#124×C179 | 2 |
| #1888 | 179 |