Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19129170 |
| Fitting | C2×D4×C337 ⋊ C2 |
| Sylow | C337 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
1694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341385, C4×#19129170, #36341414, … |
| maximal normal subgroup of | #36341385, C4×#19129170, #36341414, … |
| maximal quotient of | C2×#24924879, C2×#24924880, C2×#24924892, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 156);