Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
592 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×Dic92 | C2 | semidirect |
| 2. C22×#67273 | C2 | semidirect |
| 3. C2×#10625107 | C2 | semidirect |
| 4. #13092800 | C2 | direct (N × H) |
| 5. C2×C8×Dic23 | C2 | semidirect |
| 14. #10625107 | C22 | semidirect |
| 16. C2×#67273 | C22 | semidirect |
| 20. C2×Dic92 | C22 | semidirect |
| 21. C8×Dic23 | C22 | semidirect |
| 83. C2×C23 | #495 | semidirect |
| 101. C23 | C2×#495 | semidirect |
| 156. C2 | #13092800 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic92 | 2 |
| C22×#67273 | 2 |
| C2×#10625107 | 2 |
| #13092800 | 2 |
| C2×C8×Dic23 | 2 |
| C22×D8×C23 | 2 |
| C2×#495 | 23 |