Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
368 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 117 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×#10625083 | C2 | semidirect |
| 2. #13092846 | C2 | direct (N × H) |
| 3. C2×Dic184 | C2 | semidirect |
| 4. C2×#10625009 | C2 | semidirect |
| 5. C2×C16×D23 | C2 | semidirect |
| 6. C2×C23×D16 | C2 | semidirect |
| 11. #10625083 | C22 | semidirect |
| 14. C23×D16 | C22 | semidirect |
| 16. #10625009 | C22 | semidirect |
| 18. Dic184 | C22 | semidirect |
| 19. C16×D23 | C22 | semidirect |
| 68. C2×D16 | D23 | semidirect |
| 71. C2×C23 | #508 | semidirect |
| 83. D16 | C2×D23 | semidirect |
| 87. C23 | C2×#508 | semidirect |
| 133. C2 | #13092846 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| #13092846 | 2 |
| C2×Dic184 | 2 |
| C2×#10625009 | 2 |
| C2×C16×D23 | 2 |
| C2×C23×D16 | 2 |
| C2×#508 | 23 |