Finite Group Databasebeta

Dic10535 #53727972

order42140
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dicyclicDic10535

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,5,7,43,2,7|a^2=e,c^7=f^6,b^a=b^4,c^a=c^6f,d^a=d^42,f^a=f^6

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42140, 9);