Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19129174 |
| Fitting | C2×C8×C337 ⋊ C2 |
| Sylow | C337 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
2702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341392, C4×#19129174, #36341404, … |
| maximal normal subgroup of | #36341392, C4×#19129174, #36341404, … |
| maximal quotient of | C2×#24924881, C2×#24924884, C2×#24924891, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 161);