Finite Group DatabasebetaFinite Group Databasebeta| order | 16528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1033 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8264 |
Polycyclic presentation:
2^4,1033|a^2=c,c^2=d,b^a=bd,e^a=e^678,e^b=e^1032,e^c=e^10321042 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45683194, #45683195, #45683200, … |
| maximal normal subgroup of | #45683194, #45683195, #45683200, … |
| maximal quotient of | #45683185, #45683187, C4⋊#22551923, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16528, 50);