Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625161 | C2 | semidirect |
| 2. C2×#10625080 | C2 | semidirect |
| 3. C2×#10625121 | C2 | semidirect |
| 4. #13092998 | C2 | semidirect |
| 5. #13092580 | C2 | semidirect |
| 6. #13092574 | C2 | semidirect |
| 7. #13092563 | C2 | semidirect |
| 8. #13092557 | C2 | semidirect |
| 9. C2×#10624992 | C2 | semidirect |
| 10. #13092385 | C2 | semidirect |
| 11. C23×#417 | C2 | semidirect |
| 46. #41×C23 | D4 | semidirect |
| 79. C2×Dic46 | D4 | semidirect |
| 171. #417 | D23 | semidirect |
| 214. C23 | #3013 | semidirect |
| 224. #41 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625161 | 2 |
| C2×#10625080 | 2 |
| C2×#10625121 | 2 |
| #13092998 | 2 |
| #13092580 | 2 |
| #13092574 | 2 |
| #13092563 | 2 |
| #13092557 | 2 |
| C2×#10624992 | 2 |
| #13092385 | 2 |
| C23×#417 | 2 |
| #3013 | 23 |