Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. C2×#10624990 | C2 | semidirect |
| 3. C2×#10625017 | C2 | semidirect |
| 5. C2×C4×C23⋊C8 | C2 | semidirect |
| 7. C23×#391 | C2 | semidirect |
| 14. C2×#67274 | C4 | semidirect |
| 73. C2×C4×C23 | SD16 | semidirect |
| 87. C23⋊C8 | C22⋊C4 | semidirect |
| 112. #391 | D23 | semidirect |
| 136. C23 | #1968 | semidirect |
| 192. C2×C4 | #67274 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67274 | 2 |
| C2×#10624990 | 2 |
| C2×#10625017 | 2 |
| C2×#10624991 | 2 |
| C2×C4×C23⋊C8 | 2 |
| #13092319 | 2 |
| C23×#391 | 2 |
| #1968 | 23 |