Finite Group Databasebeta

Dic10575 #53731236

order42300
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dicyclicDic10575

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,3,5,47,2,3,5|a^2=e,b^3=f^2,c^5=g^4,b^a=b^2f,c^a=c^4g,d^a=d^46,f^a=f^2,g^a=g^4

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42300, 8);