Finite Group DatabasebetaFinite Group DatabasebetaOrder 22912.
176 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 79. C179 | #2090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26038482 | 2 |
| C2×#19153044 | 2 |
| #26038466 | 2 |
| #26038208 | 2 |
| #26038207 | 2 |
| #26038203 | 2 |
| #428×C179 | 2 |
| #2090 | 179 |