Finite Group Databasebeta

D22505 #56057943

order45010
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dihedralD22505

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,5,7,643|b^a=b^4,c^a=c^6,d^a=d^642

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45010, 8);