Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
168 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13092195 | C2 | direct (N × H) |
| 9. #10624994 | C4 | semidirect |
| 11. C2×C23⋊C16 | C4 | semidirect |
| 23. C23⋊C16 | C2×C4 | semidirect |
| 51. C2×C23 | #347 | semidirect |
| 61. C23 | C2×#347 | semidirect |
| 97. C2 | #13092195 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624994 | 2 |
| #13092195 | 2 |
| C2×C23×#97 | 2 |
| C2×#347 | 23 |