Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19129173 |
| Sylow | C337 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19129173, #36341396, #36341402, … |
| maximal normal subgroup of | C4×#19129173, #36341396, #36341402, … |
| maximal quotient of | C2×#24924880, C2×#24924882, C2×#24924890, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 160);