Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
306 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 67 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×#10625019 | C2 | semidirect |
| 3. C2×#10625007 | C2 | semidirect |
| 4. #13092416 | C2 | semidirect |
| 5. #13092286 | C2 | semidirect |
| 6. #13092185 | C2 | semidirect |
| 7. C23×#417 | C2 | semidirect |
| 60. C4×Dic23 | D4 | semidirect |
| 126. #417 | D23 | semidirect |
| 155. C23 | #2039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092995 | 2 |
| C2×#10625019 | 2 |
| C2×#10625007 | 2 |
| #13092416 | 2 |
| #13092286 | 2 |
| #13092185 | 2 |
| C23×#417 | 2 |
| #2039 | 23 |