Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
340 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13093183 | C2 | semidirect |
| 3. #13092399 | C2 | semidirect |
| 4. C2×#10625005 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092187 | C2 | semidirect |
| 7. C23×#344 | C2 | semidirect |
| 46. M16×C23 | D4 | semidirect |
| 56. #67267 | D4 | semidirect |
| 115. #344 | D23 | semidirect |
| 140. C23 | #1914 | semidirect |
| 166. M16 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093183 | 2 |
| #13092986 | 2 |
| #13092399 | 2 |
| C2×#10625005 | 2 |
| #13092187 | 2 |
| C23×#344 | 2 |
| #1914 | 23 |