Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#10624990 | C2 | semidirect |
| 3. C2×#10624998 | C2 | semidirect |
| 4. C2×C8×Dic23 | C2 | semidirect |
| 5. #13092322 | C2 | semidirect |
| 15. C2×#67273 | C4 | semidirect |
| 81. C2×Dic23 | SD16 | semidirect |
| 87. C23⋊C8 | C22⋊C4 | semidirect |
| 136. C23 | #1968 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67273 | 2 |
| C2×#10624990 | 2 |
| C2×#10624998 | 2 |
| C2×C8×Dic23 | 2 |
| #13092322 | 2 |
| #13092320 | 2 |
| C2×C23×#102 | 2 |
| #1968 | 23 |