Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C22⋊C4×D337 |
| Fitting | C22⋊C4×C337 ⋊ C2 |
| Sylow | C337 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
1700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×D337, C2×C22⋊C4×D337, #117×D337, … |
| maximal normal subgroup of | #99×D337, C2×C22⋊C4×D337, #117×D337, … |
| maximal quotient of | #95×D337, #36341152, C22⋊C4×Dic337, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 96);