Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic652 |
| Sylow | C163 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
2620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214876, #35214878, #35215395, … |
| maximal normal subgroup of | #35214876, #35214878, #35215395, … |
| maximal quotient of | C22×#19104660, C22×#19104669, C2×C4×Dic652, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1326);