Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
224 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 75 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×#10625001 | C2 | semidirect |
| 5. #13092372 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C23×#336 | C2 | semidirect |
| 15. #10625003 | C4 | semidirect |
| 16. #10625003 | C4 | semidirect |
| 20. #10624998 | C4 | semidirect |
| 21. #10624998 | C4 | semidirect |
| 106. #336 | D23 | semidirect |
| 130. C23 | #1929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625001 | 2 |
| C2×#10624987 | 2 |
| #13092414 | 2 |
| #13092383 | 2 |
| #13092372 | 2 |
| #13092177 | 2 |
| C23×#336 | 2 |
| #1929 | 23 |