Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 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 |
|---|---|---|
| 3. #13092244 | C2 | semidirect |
| 4. #13092221 | C2 | semidirect |
| 6. C4×C23⋊C16 | C2 | semidirect |
| 7. C4×Q16×C23 | C2 | semidirect |
| 15. #10625010 | C4 | direct (N × H) |
| 24. Q16×C23 | C2×C4 | semidirect |
| 36. C23⋊C16 | C2×C4 | semidirect |
| 60. C4×C23 | SD32 | semidirect |
| 65. C4×Q16 | D23 | semidirect |
| 87. C23 | C4×SD32 | semidirect |
| 92. Q16 | C4×D23 | semidirect |
| 128. C4 | #10625010 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625010 | 2 |
| C4×D184 | 2 |
| #13092244 | 2 |
| #13092221 | 2 |
| #13092217 | 2 |
| C4×C23⋊C16 | 2 |
| C4×Q16×C23 | 2 |
| C4×SD32 | 23 |