Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19129168 |
| Fitting | C2×C8×C337 ⋊ C2 |
| Sylow | C337 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341086, C4×#19129168, #36341257, … |
| maximal normal subgroup of | #36341086, C4×#19129168, #36341257, … |
| maximal quotient of | C2×#24924869, C4×#19129168, C2×#24924871, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 150);