Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19104757 |
| Fitting | C22×C8×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
2620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214862, #35214864, #35215422, … |
| maximal normal subgroup of | #35214862, #35214864, #35215422, … |
| maximal quotient of | C2×#23781662, C2×#23781703, C2×C4×D1304, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1331);