Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
200 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #13092168 | C2 | semidirect |
| 4. #13092167 | C2 | semidirect |
| 5. C23×#334 | C2 | semidirect |
| 32. C8×D23 | C8 | semidirect |
| 46. C8×C23 | C2×C8 | semidirect |
| 49. C23⋊C8 | C2×C8 | semidirect |
| 66. #334 | D23 | direct (N × H) |
| 70. D23 | #334 | direct (N × H) |
| 82. C23 | C2×#334 | semidirect |
| 115. C8 | C8×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C8×D23 | 2 |
| C4×C8×D23 | 2 |
| #13092168 | 2 |
| #13092167 | 2 |
| C23×#334 | 2 |
| C2×#334 | 23 |