Finite Group Databasebeta

D21776 #54875152

order43552
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

dihedralD21776

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^5,1361|c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^1360,c^b=cd,d^b=de,f^b=f^1360

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43552, 88);