| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D163 |
| Fitting | #108×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1162 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D163, #35216262, #361×D163, … |
| maximal normal subgroup of | #359×D163, #35216262, #361×D163, … |
| maximal quotient of | #334×D163, #335×D163, #35213281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 593);