Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic326 |
| Sylow | C163 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212806, #35214459, #35214470, … |
| maximal normal subgroup of | #35212806, #35214459, #35214470, … |
| maximal quotient of | C23×Dic163⋊C4, C23×C4⋊Dic163, C22×C4×Dic326, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1373);