Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
289 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 289 conjugacy classes of subgroups — too many to draw. Only its 63 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×#92280 | C2 | semidirect |
| 2. C4×#6908 | C2 | semidirect |
| 3. C4⋊#4208 | C3 | semidirect |
| 5. C4⋊#4178 | C3 | semidirect |
| 6. C4⋊#4176 | C3 | semidirect |
| 7. C4⋊#4174 | C3 | semidirect |
| 10. C2×#4208 | C2×C3 | semidirect |
| 13. C4×#737 | C2×C3 | semidirect |
| 14. C32×C4×C9 | D3 | semidirect |
| 15. C2×#4178 | C2×C3 | semidirect |
| 16. C2×#4176 | C2×C3 | semidirect |
| 19. C4×#732 | C2×C3 | semidirect |
| 21. C4×#731 | C2×C3 | semidirect |
| 24. #6908 | D4 | semidirect |
| 69. #737 | C3×D4 | semidirect |
| 70. C32×C9 | D12 | semidirect |
| 72. #732 | C3×D4 | semidirect |
| 74. #731 | C3×D4 | semidirect |
| 195. C4 | #92280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92280 | 2 |
| C4×#6908 | 2 |
| C4⋊#4208 | 3 |
| C3×C9×D12 | 3 |
| C4⋊#4178 | 3 |
| C4⋊#4176 | 3 |
| C4⋊#4174 | 3 |