Finite Group Databasebeta

C2×#131×D113 #28405277

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

Aliases

direct productC2×#131×D113

Splittings

FittingC2×#131×C113 ⋊ C2
SylowC113 ⋊ C22×#131

Subgroups

subgroupG/H
centerC2×C8C22×D113
commutatorC2×C113C24×C4
FrattiniC4C24×D113
FittingC2×#131×C113C2
socleC22×C113C23×C4
prime radicalC2×#41×D113C2
cosocleC4×C113C25
hypercenterC2×#131D113
hypocenterC113C22×#131
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C8 ◁ C2×#131

1504 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

2320 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 19213);