Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 105 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×#10624991 | C2 | semidirect |
| 3. C2×#10624997 | C2 | semidirect |
| 4. #13092318 | C2 | semidirect |
| 5. C2×C23×#106 | C2 | semidirect |
| 14. C2×D184 | C4 | semidirect |
| 60. C8×C23 | C22⋊C4 | semidirect |
| 79. C2×#106 | D23 | semidirect |
| 100. C23 | #1972 | semidirect |
| 144. C8 | (C2×D23)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D184 | 2 |
| C2×#10624991 | 2 |
| C2×#10624997 | 2 |
| #13092318 | 2 |
| C2×C23×#106 | 2 |
| #1972 | 23 |