Finite Group Databasebeta

D21536 #54846054

order43072
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

dihedralD21536

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^6,673|c^2=de,d^2=ef,e^2=f,b^a=bc,c^a=cd,d^a=de,e^a=ef,g^a=g^672,c^b=cd,d^b=de,e^b=ef,g^b=g^672

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43072, 385);