Finite Group DatabasebetaFinite Group DatabasebetaOrder 22144.
158 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 23. C22⋊C4×C173 | C8 | semidirect |
| 68. C173 | #1326 | semidirect |
| 92. C22⋊C4 | #13063436 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26011215 | 2 |
| #385×C173 | 2 |
| #1326 | 173 |