Finite Group Databasebeta

Dic10828 #54871302

order43312
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dicyclicDic10828

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^4,2707|a^2=d,b^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^2706,c^b=cd,e^b=e^2706

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43312, 31);