Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10625122 | C2 | semidirect |
| 2. C2×#10625119 | C2 | semidirect |
| 3. #13092988 | C2 | semidirect |
| 4. #13092673 | C2 | semidirect |
| 5. #13092661 | C2 | semidirect |
| 6. #13092656 | C2 | semidirect |
| 7. #13092644 | C2 | semidirect |
| 8. #13092457 | C2 | semidirect |
| 9. #13092413 | C2 | semidirect |
| 10. C2×#10624992 | C2 | semidirect |
| 79. #67267 | D4 | semidirect |
| 186. C23 | #3063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625122 | 2 |
| C2×#10625119 | 2 |
| #13092988 | 2 |
| #13092673 | 2 |
| #13092661 | 2 |
| #13092656 | 2 |
| #13092644 | 2 |
| #13092457 | 2 |
| #13092413 | 2 |
| C2×#10624992 | 2 |
| C23×#537 | 2 |
| #3063 | 23 |