Finite Group Databasebeta

C2×#20299529 #28406993

order14464
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C23

Aliases

direct productC2×#20299529

Splittings

derived, SylowC113 ⋊ C22×C32

Subgroups

subgroupG/H
center, hypercenterC2×C16#90673
commutator, hypocenterC113C22×C32
FrattiniC8C22×#90673
FittingC2×C16×C113C4
socleC22×C113C2×C16
prime radicalC22×D113C16
cosocle#14268622C23
LCSG ▷ C113
UCSC1 ◁ C2×C16

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

1024 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 20929);