Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19129162 |
| Fitting | C22×C4×C337 ⋊ C2 |
| Sylow | C337 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341028, #36341152, C4×#19129162, … |
| maximal normal subgroup of | #36341028, #36341152, C4×#19129162, … |
| maximal quotient of | C2×#24924866, C4×#19129162, #36341160, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 97);