Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
258 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13092391 | C2 | semidirect |
| 2. #13092212 | C2 | semidirect |
| 3. #13092210 | C2 | semidirect |
| 5. C2×#41×C23 | C4 | semidirect |
| 7. C23×C4⋊Q8 | C4 | semidirect |
| 9. C23×#124 | C4 | semidirect |
| 13. C2×C42×C23 | C4 | semidirect |
| 90. C2×#41 | Dic23 | semidirect |
| 92. C4⋊Q8 | Dic23 | semidirect |
| 94. #124 | Dic23 | semidirect |
| 99. C2×C42 | Dic23 | semidirect |
| 102. C23 | #2126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092391 | 2 |
| #13092212 | 2 |
| #13092210 | 2 |
| C23×#532 | 2 |
| #2126 | 23 |