Finite Group Databasebeta

C2×#20299365 #28405284

order14464
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#20299365

Splittings

SylowC113 ⋊ C2×#568

Subgroups

subgroupG/H
centerC2×C4C23×D113
commutatorC2×C113C24×C4
FrattiniC4C24×D113
Fitting, prime radicalC22×#41×C113C2
socleC22×C113C23×C4
cosocleC4×C113C25
hypercenterC22×#41D113
hypocenterC113C2×#568
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C22×#41

1460 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, 19220);