Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13092897 | C2 | semidirect |
| 3. C2×#10624987 | C2 | semidirect |
| 4. #13092421 | C2 | semidirect |
| 5. #13092319 | C2 | semidirect |
| 6. #13092185 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 17. #10625079 | C4 | semidirect |
| 42. C2×D92 | C2×C4 | semidirect |
| 48. M16×C23 | C2×C4 | semidirect |
| 95. D92 | C22⋊C4 | semidirect |
| 100. Dic46 | C22⋊C4 | semidirect |
| 132. #339 | D23 | semidirect |
| 160. C23 | #1883 | semidirect |
| 185. M16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625079 | 2 |
| #13092897 | 2 |
| C2×#10624987 | 2 |
| #13092421 | 2 |
| #13092319 | 2 |
| #13092185 | 2 |
| C23×#339 | 2 |
| #1883 | 23 |