Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
576 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 2. #13092317 | C2 | semidirect |
| 3. #13092307 | C2 | semidirect |
| 4. #13092302 | C2 | semidirect |
| 5. #13092295 | C2 | semidirect |
| 6. #13092293 | C2 | semidirect |
| 7. #13092288 | C2 | semidirect |
| 8. #13092280 | C2 | semidirect |
| 9. C23×#380 | C2 | semidirect |
| 18. #10625101 | C4 | semidirect |
| 35. C22×C4×C23 | C2×C4 | semidirect |
| 42. C2×C22⋊D23 | C2×C4 | semidirect |
| 58. (C2×D23)⋊C4 | C2×C4 | semidirect |
| 59. C4⋊Dic23 | C2×C4 | semidirect |
| 131. #380 | D23 | semidirect |
| 161. C23 | #2377 | semidirect |
| 176. C22×C4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625101 | 2 |
| #13092317 | 2 |
| #13092307 | 2 |
| #13092302 | 2 |
| #13092295 | 2 |
| #13092293 | 2 |
| #13092288 | 2 |
| #13092280 | 2 |
| C23×#380 | 2 |
| #2377 | 23 |