Finite Group Databasebeta

M16×C22⋊D113 #28399308

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

Aliases

direct productM16×C22⋊D113

Splittings

FittingC22×M16×C113 ⋊ C2
SylowC113 ⋊ D4×M16

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D113
commutator, socleC22×C113C23×C4
FittingC22×M16×C113C2
prime radicalC22×C22⋊D113C4
cosocleC2×C4×C113C24
hypercenterC22×M16D113
hypocenterC113D4×M16
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C22×M16

544 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

2290 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 13244);