Finite Group Databasebeta

D22689 #56085290

order45378
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dihedralD22689

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,3,2521,3|b^3=d^2,b^a=b^2d,c^a=c^2520,d^a=d^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45378, 6);