Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 123 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×#10625075 | C2 | semidirect |
| 2. C2×#10625083 | C2 | semidirect |
| 3. #13093085 | C2 | semidirect |
| 4. #13092792 | C2 | semidirect |
| 5. #13092654 | C2 | semidirect |
| 6. #13092616 | C2 | semidirect |
| 7. #13092563 | C2 | semidirect |
| 8. #13092560 | C2 | semidirect |
| 9. #13092511 | C2 | semidirect |
| 10. C8×C22⋊D23 | C2 | semidirect |
| 11. C23×#466 | C2 | semidirect |
| 76. Dic92 | D4 | semidirect |
| 135. Dic23 | #135 | semidirect |
| 141. #466 | D23 | semidirect |
| 183. C23 | #3287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| C2×#10625083 | 2 |
| #13093085 | 2 |
| #13092792 | 2 |
| #13092654 | 2 |
| #13092616 | 2 |
| #13092563 | 2 |
| #13092560 | 2 |
| #13092511 | 2 |
| C8×C22⋊D23 | 2 |
| C23×#466 | 2 |
| #3287 | 23 |