Finite Group Databasebeta

D19984 #51454553

order39968
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

dihedralD19984

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^5,1249|c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^1248,c^b=cd,d^b=de,f^b=f^1248

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39968, 88);