Finite Group Databasebeta

C2×#20299434 #28405382

order14464
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC2×#20299434

Splittings

FittingC22×#41×C113 ⋊ C2
SylowC113 ⋊ C2×#585

Subgroups

subgroupG/H
centerC2×C4C23×D113
commutator, cosocleC2×C113C26
FrattiniC2C25×D113
FittingC22×#41×C113C2
socleC22×C113C25
hypercenterC22×#41D113
hypocenterC113C2×#585
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C22×#41

5956 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

2308 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 19318);