| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19104667 |
| Sylow | C163 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
2620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212635, #35212636, #35212641, … |
| maximal normal subgroup of | #35212635, #35212636, #35212641, … |
| maximal quotient of | C2×#23781416, #35213292, #35213307, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 580);