Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13092441 | C2 | semidirect |
| 2. C2×#10625019 | C2 | semidirect |
| 3. C42×Dic23 | C2 | semidirect |
| 6. C23×C4⋊Q8 | C4 | semidirect |
| 7. C23×#127 | C4 | semidirect |
| 8. C23×#124 | C4 | semidirect |
| 34. C4×Dic23 | D4 | semidirect |
| 64. C4×C23 | #104 | semidirect |
| 79. C4⋊Q8 | Dic23 | semidirect |
| 80. #127 | Dic23 | semidirect |
| 81. #124 | Dic23 | semidirect |
| 89. C23 | #1962 | semidirect |
| 137. C4 | #10625019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092441 | 2 |
| C2×#10625019 | 2 |
| C42×Dic23 | 2 |
| C23×#532 | 2 |
| #1962 | 23 |