Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
196 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 12. #19153048 | C4 | semidirect |
| 84. C179 | #1951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19153048 | 2 |
| #26038482 | 2 |
| C2×#19153044 | 2 |
| #26038395 | 2 |
| #26038208 | 2 |
| #26038207 | 2 |
| #428×C179 | 2 |
| #1951 | 179 |