Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 99 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×#10625003 | C2 | semidirect |
| 4. C2×#10624997 | C2 | semidirect |
| 5. #13092320 | C2 | semidirect |
| 6. #13092318 | C2 | semidirect |
| 7. C2×C23×#102 | C2 | semidirect |
| 15. C2×#67272 | C4 | semidirect |
| 90. C23⋊C8 | C22⋊C4 | semidirect |
| 117. C2×#102 | D23 | semidirect |
| 144. C23 | #1972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67272 | 2 |
| C2×#10624990 | 2 |
| C2×#10625003 | 2 |
| C2×#10624997 | 2 |
| #13092320 | 2 |
| #13092318 | 2 |
| C2×C23×#102 | 2 |
| #1972 | 23 |