Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
196 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 57 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×#22579825 | C2 | semidirect |
| 2. C2×#22579824 | C2 | semidirect |
| 3. C2×#22579823 | C2 | semidirect |
| 4. #31800380 | C2 | semidirect |
| 6. C16×Dic277 | C2 | semidirect |
| 7. C2×SD32×C277 | C2 | semidirect |
| 35. #17984538 | D4 | semidirect |
| 43. C16×C277 | D4 | semidirect |
| 71. Dic277 | SD32 | semidirect |
| 76. C277 | #2248 | semidirect |
| 81. C2×SD32 | D277 | semidirect |
| 120. C16 | C22⋊D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579825 | 2 |
| C2×#22579824 | 2 |
| C2×#22579823 | 2 |
| #31800380 | 2 |
| #31800377 | 2 |
| C16×Dic277 | 2 |
| C2×SD32×C277 | 2 |
| #2248 | 277 |