Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
256 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×#10624982 | C2 | semidirect |
| 3. C2×#10625009 | C2 | semidirect |
| 4. #13092659 | C2 | semidirect |
| 5. #13092217 | C2 | semidirect |
| 6. (C2×D23)⋊C16 | C2 | semidirect |
| 7. C23×#357 | C2 | semidirect |
| 13. C2×Dic92 | C22 | semidirect |
| 17. C2×C16×C23 | C22 | semidirect |
| 18. C23×#107 | C22 | semidirect |
| 20. C2×C23⋊C16 | C22 | semidirect |
| 80. C2×D23 | SD32 | semidirect |
| 91. #357 | D23 | semidirect |
| 111. C2×C16 | C2×D23 | semidirect |
| 112. #107 | C2×D23 | semidirect |
| 114. C23 | #2187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D23 | 2 |
| C2×#10624982 | 2 |
| C2×#10625009 | 2 |
| #13092659 | 2 |
| #13092217 | 2 |
| (C2×D23)⋊C16 | 2 |
| C23×#357 | 2 |
| #2187 | 23 |