Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
404 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 4. #13092178 | C2 | semidirect |
| 5. #13092177 | C2 | semidirect |
| 6. #13092176 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 18. M16×D23 | C4 | semidirect |
| 21. #10625063 | C4 | semidirect |
| 22. C4⋊C4×D23 | C4 | semidirect |
| 27. #10625043 | C4 | semidirect |
| 44. M16×C23 | C2×C4 | semidirect |
| 50. C42×C23 | C2×C4 | semidirect |
| 60. C4×Dic23 | C2×C4 | semidirect |
| 62. #67267 | C2×C4 | semidirect |
| 126. #339 | D23 | semidirect |
| 154. C23 | #1733 | semidirect |
| 173. M16 | C4×D23 | semidirect |
| 191. C42 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D23 | 2 |
| C2×#10625043 | 2 |
| #117×D23 | 2 |
| #13092178 | 2 |
| #13092177 | 2 |
| #13092176 | 2 |
| C23×#339 | 2 |
| #1733 | 23 |