Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
552 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×#10625113 | C2 | semidirect |
| 3. #13092809 | C2 | semidirect |
| 4. #13092796 | C2 | semidirect |
| 5. #13092791 | C2 | semidirect |
| 6. C4×#67267 | C2 | semidirect |
| 7. C2×C23×C4⋊Q8 | C2 | semidirect |
| 47. #67267 | D4 | semidirect |
| 77. C4×C23 | #137 | semidirect |
| 82. C2×C4⋊Q8 | D23 | semidirect |
| 109. C23 | #3152 | semidirect |
| 161. C4 | #10625113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625113 | 2 |
| #13092967 | 2 |
| #13092809 | 2 |
| #13092796 | 2 |
| #13092791 | 2 |
| C4×#67267 | 2 |
| C2×C23×C4⋊Q8 | 2 |
| #3152 | 23 |