Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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×#10625009 | C2 | semidirect |
| 2. #13092835 | C2 | semidirect |
| 3. #13092693 | C2 | semidirect |
| 5. #13092246 | C2 | semidirect |
| 6. #13092234 | C2 | semidirect |
| 7. C23×#361 | C2 | semidirect |
| 74. #361 | D23 | semidirect |
| 94. C23 | #2223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625009 | 2 |
| #13092835 | 2 |
| #13092693 | 2 |
| #13092684 | 2 |
| #13092246 | 2 |
| #13092234 | 2 |
| C23×#361 | 2 |
| #2223 | 23 |