Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#10625090 | C2 | semidirect |
| 2. #13093089 | C2 | semidirect |
| 3. #13092794 | C2 | semidirect |
| 4. #13092654 | C2 | semidirect |
| 5. #13092617 | C2 | semidirect |
| 6. #13092565 | C2 | semidirect |
| 7. C8×D92 | C2 | semidirect |
| 8. C4×Q16×C23 | C2 | semidirect |
| 40. Q16×C23 | D4 | semidirect |
| 89. C4×C23 | #135 | semidirect |
| 99. C4×Q16 | D23 | semidirect |
| 126. C23 | #3287 | semidirect |
| 138. Q16 | D92 | semidirect |
| 187. C4 | #10625090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625090 | 2 |
| #13093089 | 2 |
| #13092794 | 2 |
| #13092654 | 2 |
| #13092617 | 2 |
| #13092565 | 2 |
| C8×D92 | 2 |
| C4×Q16×C23 | 2 |
| #3287 | 23 |