Finite Group Databasebeta

D20528 #52628874

order41056
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

dihedralD20528

Subgroups

subgroupG/H
center?
commutator?
Frattini?
hypercenter?
hypocenter?
LCS?
UCS?

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^5,1283|c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^1282,c^b=cd,d^b=de,f^b=f^1282

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41056, 88);