Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
174 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 65 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. C4×D184 | C2 | semidirect |
| 3. #13092242 | C2 | semidirect |
| 4. #13092218 | C2 | semidirect |
| 5. #13092217 | C2 | semidirect |
| 6. C4×C23⋊C16 | C2 | semidirect |
| 7. C4×D8×C23 | C2 | semidirect |
| 15. #10625008 | C4 | direct (N × H) |
| 25. D8×C23 | C2×C4 | semidirect |
| 34. D184 | C2×C4 | semidirect |
| 36. C23⋊C16 | C2×C4 | semidirect |
| 63. C4×C23 | D16 | semidirect |
| 69. C4×D8 | D23 | semidirect |
| 91. C23 | C4×D16 | semidirect |
| 99. D8 | C4×D23 | semidirect |
| 135. C4 | #10625008 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625008 | 2 |
| C4×D184 | 2 |
| #13092242 | 2 |
| #13092218 | 2 |
| #13092217 | 2 |
| C4×C23⋊C16 | 2 |
| C4×D8×C23 | 2 |
| C4×D16 | 23 |