Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
360 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 117 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. #31823206 | C2 | direct (N × H) |
| 4. C2×C4⋊C8×C281 | C2 | semidirect |
| 14. C4⋊#14555886 | C22 | semidirect |
| 18. C4⋊C8×C281 | C22 | semidirect |
| 84. C2×C281 | #331 | semidirect |
| 89. C281 | C2×#331 | semidirect |
| 93. C2×C4⋊C8 | D281 | semidirect |
| 108. C4⋊C8 | C2×D281 | semidirect |
| 175. C2 | #31823206 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582876 | 2 |
| C2×C4⋊#14555886 | 2 |
| #31823206 | 2 |
| C2×C4⋊C8×C281 | 2 |
| C2×#331 | 281 |