Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic674 |
| Sylow | C337 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341209, #36341210, #36341211, … |
| maximal normal subgroup of | #36341209, #36341210, #36341211, … |
| maximal quotient of | C22×#19129164, C22×C4⋊Dic337, C2×C4×Dic674, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 186);