Finite Group Databasebeta

#71044442

order63919
automorphism?
homologyAbelianization (H1) = C41 · Schur multiplier (H2) = C1

Aliases

No aliases for this group.

Splittings

Fitting, socle, derived, SylowC1559 ⋊ C41

Subgroups

subgroupG/H
center, Frattini, hypercenterC1G
commutator, Fitting, socle, cosocle, hypocenterC1559C41
LCSG ▷ C1559
UCSC1

4 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

41,1559|b^a=b^1490

Conjugacy classes & character table

79 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(63919, 1);