Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
344 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #13092179 | C2 | semidirect |
| 11. C2×C4⋊Dic23 | C4 | semidirect |
| 90. C23 | #1824 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic23 | 2 |
| C2×C22⋊(C23⋊C8) | 2 |
| #13092179 | 2 |
| C23×#380 | 2 |
| #1824 | 23 |