Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 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 |
|---|---|---|
| 2. C2×#10625001 | C2 | semidirect |
| 3. #13092418 | C2 | semidirect |
| 4. C2×#10625003 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092185 | C2 | semidirect |
| 7. C23×#408 | C2 | semidirect |
| 115. #408 | D23 | semidirect |
| 141. C23 | #2051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625120 | 2 |
| C2×#10625001 | 2 |
| #13092418 | 2 |
| C2×#10625003 | 2 |
| C2×#10625005 | 2 |
| #13092185 | 2 |
| C23×#408 | 2 |
| #2051 | 23 |