Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
442 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 87 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×C42×D277 | C2 | semidirect |
| 3. C2×#22579807 | C2 | semidirect |
| 4. #31799965 | C2 | semidirect |
| 5. #31799763 | C2 | semidirect |
| 6. #31799762 | C2 | semidirect |
| 7. C2×#104×C277 | C2 | semidirect |
| 12. #22579856 | C4 | semidirect |
| 13. #22579851 | C4 | semidirect |
| 42. C4⋊Dic277 | C2×C4 | semidirect |
| 50. C4×Dic277 | D4 | semidirect |
| 55. C2×Q8×C277 | C2×C4 | semidirect |
| 57. C2×D4×C277 | C2×C4 | semidirect |
| 65. C42×C277 | D4 | semidirect |
| 113. C2×D277 | #104 | semidirect |
| 129. C277 | #1896 | semidirect |
| 134. C2×#104 | D277 | semidirect |
| 162. C2×Q8 | C4×D277 | semidirect |
| 165. C2×D4 | C4×D277 | semidirect |
| 195. C42 | C22⋊D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800509 | 2 |
| C2×C42×D277 | 2 |
| C2×#22579807 | 2 |
| #31799965 | 2 |
| #31799763 | 2 |
| #31799762 | 2 |
| C2×#104×C277 | 2 |
| #1896 | 277 |