Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#16810681 |
| Sylow | C53 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
1096 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27293295, C4×#16810681, #27382240, … |
| maximal normal subgroup of | #27293295, C4×#16810681, #27382240, … |
| maximal quotient of | C2×#20274465, C2×#20274483, C2×#20274571, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 13133);