Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
404 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#10624998 | C2 | semidirect |
| 4. C2×#10624992 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C23×#340 | C2 | semidirect |
| 20. #10625068 | C4 | semidirect |
| 47. C2×Dic46 | C2×C4 | semidirect |
| 53. C4⋊C4×C23 | C2×C4 | semidirect |
| 117. C2×D23 | #103 | semidirect |
| 133. #340 | D23 | semidirect |
| 160. C23 | #1872 | semidirect |
| 195. C4⋊C4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625068 | 2 |
| C2×C4⋊C4×D23 | 2 |
| C2×#10624998 | 2 |
| C2×#10624992 | 2 |
| C2×(C2×D23)⋊C8 | 2 |
| #13092179 | 2 |
| C23×#340 | 2 |
| #1872 | 23 |