Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
304 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #31800011 | C2 | semidirect |
| 5. #31799774 | C2 | semidirect |
| 6. #31799760 | C2 | semidirect |
| 7. C2×#101×C277 | C2 | semidirect |
| 11. C2×#17984553 | C4 | semidirect |
| 12. C2×#17984550 | C4 | semidirect |
| 107. C277 | #1902 | semidirect |
| 113. C2×#101 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579911 | 2 |
| #31800768 | 2 |
| #31800018 | 2 |
| #31800011 | 2 |
| #31799774 | 2 |
| #31799760 | 2 |
| C2×#101×C277 | 2 |
| #1902 | 277 |