Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
438 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 103 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×C4×D1108 | C2 | semidirect |
| 3. C2×#22579801 | C2 | semidirect |
| 4. C2×#22579800 | C2 | semidirect |
| 5. #31799764 | C2 | semidirect |
| 6. #31799757 | C2 | semidirect |
| 7. #390×C277 | C2 | semidirect |
| 12. C2×#17984548 | C4 | semidirect |
| 43. C2×#14555660 | C2×C4 | semidirect |
| 53. C2×D4×C277 | C2×C4 | semidirect |
| 74. D1108 | C22⋊C4 | semidirect |
| 101. C2×C4×C277 | D8 | semidirect |
| 146. C277 | #1879 | semidirect |
| 152. #390 | D277 | semidirect |
| 186. C2×D4 | C4×D277 | semidirect |
| 246. C2×C4 | #17984548 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17984548 | 2 |
| C2×C4×D1108 | 2 |
| C2×#22579801 | 2 |
| C2×#22579800 | 2 |
| #31799764 | 2 |
| #31799757 | 2 |
| #390×C277 | 2 |
| #1879 | 277 |