Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19104700 |
| Sylow | C163 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
1660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212858, #35212878, #35214331, … |
| maximal normal subgroup of | #35212858, #35212878, #35214331, … |
| maximal quotient of | C2×#23781516, C2×C4⋊C4×Dic163, C4×#19104700, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1013);