Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D652 |
| Fitting | C4×C8×C163 ⋊ C2 |
| Sylow | C163 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212490, #35212492, C8×#14579684, … |
| maximal normal subgroup of | #35212490, #35212492, C8×#14579684, … |
| maximal quotient of | C8×D1304, C8×#14579688, C8×Dic652, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 616);