Finite Group Databasebeta

D21097 #53729974

order42194
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

dihedralD21097

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2,17,73,17|b^17=d^16,b^a=b^16d,c^a=c^72,d^a=d^16

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42194, 4);