Finite Group Databasebeta

#69848720

order61312
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C29

Aliases

No aliases for this group.

Subgroups

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

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^7,479|b^2=g,f^2=g,b^a=bf,e^a=eg,f^a=fg,h^a=h^478,f^b=fg,h^b=h^478,d^c=dg

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61312, 19298);