Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
436 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625040 | C2 | semidirect |
| 2. #13092776 | C2 | direct (N × H) |
| 3. C2×#10625017 | C2 | semidirect |
| 5. C2×#10624985 | C2 | semidirect |
| 19. #10625040 | C22 | semidirect |
| 20. #10625017 | C22 | semidirect |
| 22. #10624985 | C22 | semidirect |
| 90. C2×C23 | #489 | semidirect |
| 110. C23 | C2×#489 | semidirect |
| 171. C2 | #13092776 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625040 | 2 |
| #13092776 | 2 |
| C2×#10625017 | 2 |
| C2×#10625014 | 2 |
| C2×#10624985 | 2 |
| C2×C23×#124 | 2 |
| C2×#489 | 23 |