Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13092470 | C2 | semidirect |
| 3. #13092144 | C2 | semidirect |
| 4. C23×#423 | C2 | semidirect |
| 16. C23×C4⋊C8 | C22 | semidirect |
| 19. C4×C23⋊C8 | C22 | semidirect |
| 62. D92 | M16 | semidirect |
| 87. #423 | D23 | semidirect |
| 106. C4⋊C8 | C2×D23 | semidirect |
| 109. C23 | #1486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D92 | 2 |
| #13092470 | 2 |
| #13092144 | 2 |
| C23×#423 | 2 |
| #1486 | 23 |