Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
928 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 928 conjugacy classes of subgroups — too many to draw. Only its 233 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. C2×#10625064 | C2 | semidirect |
| 3. #13092322 | C2 | semidirect |
| 4. #13092293 | C2 | semidirect |
| 5. #13092279 | C2 | semidirect |
| 6. C4×C22⋊Dic23 | C2 | semidirect |
| 7. #95×D23 | C2 | semidirect |
| 8. C23×#380 | C2 | semidirect |
| 12. C2×#67288 | C4 | semidirect |
| 31. C22×C4×C23 | C2×C4 | semidirect |
| 36. C2×C22⋊D23 | C2×C4 | semidirect |
| 47. C2×C4×D23 | C2×C4 | semidirect |
| 49. C2×Dic46 | C2×C4 | semidirect |
| 82. C2×Dic23 | #41 | semidirect |
| 83. D92 | C22⋊C4 | semidirect |
| 114. #380 | D23 | semidirect |
| 143. C23 | #2339 | semidirect |
| 162. C22×C4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67288 | 2 |
| C2×#10625064 | 2 |
| #13092322 | 2 |
| #13092293 | 2 |
| #13092279 | 2 |
| C4×C22⋊Dic23 | 2 |
| #95×D23 | 2 |
| C23×#380 | 2 |
| #2339 | 23 |