Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10625040 | C2 | semidirect |
| 3. #13092777 | C2 | semidirect |
| 4. #13092768 | C2 | semidirect |
| 5. #13092764 | C2 | semidirect |
| 6. #13092419 | C2 | semidirect |
| 7. C4×M16×C23 | C2 | semidirect |
| 102. C4×M16 | D23 | semidirect |
| 129. C23 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092967 | 2 |
| C2×#10625040 | 2 |
| #13092777 | 2 |
| #13092768 | 2 |
| #13092764 | 2 |
| #13092419 | 2 |
| C4×M16×C23 | 2 |
| #3141 | 23 |