Finite Group Databasebeta

C2×#20299728 #28407867

order14464
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC2×#20299728

Splittings

SylowC113 ⋊ C2×M64

Subgroups

subgroupG/H
centerC22C2×#14268661
commutatorC2×C113C22×C16
FrattiniC2C22×#14268661
Fitting, prime radicalC23×C113C16
socleC22×C113C2×C16
cosocle#14268659C23
hypercenterC23#14268661
hypocenterC113C2×M64
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C22 ◁ C23

112 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

136 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21803);