Finite Group Databasebeta

D14272 #43253006

order28544
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

dihedralD14272

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^7,223|c^2=de,d^2=ef,e^2=fg,f^2=g,b^a=bc,c^a=cd,d^a=de,e^a=ef,f^a=fg,h^a=h^222,c^b=cd,d^b=de,e^b=ef,f^b=fg,h^b=h^222

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28544, 2723);