Finite Group Databasebeta

Dic11025 #54881850

order44100
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dicyclicDic11025

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,3,5,7,2,3,5,7|a^2=e,b^3=f^2,c^5=g^4,d^7=h^6,b^a=b^2f,c^a=c^4g,d^a=d^6h,f^a=f^2,g^a=g^4,h^a=h^6

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44100, 12);