Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19129175 |
| Sylow | C337 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
1694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341397, C4×#19129175, #36341409, … |
| maximal normal subgroup of | #36341397, C4×#19129175, #36341409, … |
| maximal quotient of | C2×#24924882, C2×#24924883, C2×#24924892, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 163);