Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic326 |
| Sylow | C163 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212514, #35212516, C8×#14579687, … |
| maximal normal subgroup of | #35212514, #35212516, C8×#14579687, … |
| maximal quotient of | C8×C4⋊Dic163, C8×Dic163⋊C4, #35215092, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 674);