Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
274 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13092465 | C2 | semidirect |
| 3. #13092434 | C2 | semidirect |
| 4. #13092423 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092188 | C2 | semidirect |
| 7. C23×#413 | C2 | semidirect |
| 109. #413 | D23 | semidirect |
| 135. C23 | #2048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625120 | 2 |
| #13092465 | 2 |
| #13092434 | 2 |
| #13092423 | 2 |
| C2×#10625005 | 2 |
| #13092188 | 2 |
| C23×#413 | 2 |
| #2048 | 23 |