Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14579682 |
| Fitting | C22×C8×C163 ⋊ C2 |
| Sylow | C163 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214228, #35214231, #35214254, … |
| maximal normal subgroup of | #35214228, #35214231, #35214254, … |
| maximal quotient of | C22×#19104645, C2×C4×#14579682, C22×(C2×D163)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1308);