Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
148 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 47 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. C2×#10625008 | C2 | semidirect |
| 2. #13092834 | C2 | semidirect |
| 3. #13092687 | C2 | semidirect |
| 4. #13092246 | C2 | semidirect |
| 5. #13092230 | C2 | semidirect |
| 6. #13092229 | C2 | semidirect |
| 7. C23×#472 | C2 | semidirect |
| 72. #472 | D23 | semidirect |
| 96. C23 | #2221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625008 | 2 |
| #13092834 | 2 |
| #13092687 | 2 |
| #13092246 | 2 |
| #13092230 | 2 |
| #13092229 | 2 |
| C23×#472 | 2 |
| #2221 | 23 |