Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C163 ⋊ #533 |
222 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^a=g^1622620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212938, #35212940, #35212956, … |
| maximal normal subgroup of | #35212938, #35212940, #35212956, … |
| maximal quotient of | #35216943, #35217013, #35217019, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1106);