Finite Group Databasebeta

C4×SD16×D113 #28399327

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×SD16×D113

Splittings

FittingC4×SD16×C113 ⋊ C2
SylowC113 ⋊ C2×C4×SD16

Subgroups

subgroupG/H
centerC2×C4D4×D113
commutatorC4×C113C23×C4
FrattiniC2×C4C23×D113
FittingC4×SD16×C113C2
socleC22×C113C22×D4
prime radicalC2×D4×D113C22
cosocleC2×C4×C113C24
hypercenterC4×SD16D113
hypocenterC113C2×C4×SD16
LCSG ▷ C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×SD16

552 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

1624 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 13263);