Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
344 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 109 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⋊#14555886 | C2 | semidirect |
| 3. C2×#22582802 | C2 | semidirect |
| 5. C4×C4⋊C4×C281 | C2 | semidirect |
| 10. #22582867 | C4 | semidirect |
| 94. C281 | #1983 | semidirect |
| 100. C4×C4⋊C4 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582867 | 2 |
| C2×C4⋊#14555886 | 2 |
| C2×#22582802 | 2 |
| C2×#22582799 | 2 |
| C4×C4⋊C4×C281 | 2 |
| #1983 | 281 |