Finite Group Databasebeta

Dic12265 #59523698

order49060
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dicyclicDic12265

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,5,11,223,2|a^2=e,b^a=b^4,c^a=c^10,d^a=d^222

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49060, 9);