Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. C2×#10624999 | C2 | semidirect |
| 2. C2×#10625017 | C2 | semidirect |
| 4. C2×C8×Dic23 | C2 | semidirect |
| 5. #13092324 | C2 | semidirect |
| 12. C2×SD16×C23 | C4 | semidirect |
| 85. C2×Dic23 | SD16 | semidirect |
| 86. C8×C23 | C22⋊C4 | semidirect |
| 124. C2×SD16 | Dic23 | semidirect |
| 136. C23 | #1968 | semidirect |
| 200. C8 | C22⋊Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624999 | 2 |
| C2×#10625017 | 2 |
| C2×#10625014 | 2 |
| C2×C8×Dic23 | 2 |
| #13092324 | 2 |
| #13092320 | 2 |
| C22×SD16×C23 | 2 |
| #1968 | 23 |