Finite Group Databasebeta

C16×Dic226 #28392477

order14464
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC16×Dic226

Splittings

SylowC113 ⋊ Q8×C16

Subgroups

subgroupG/H
centerC2×C16C2×D113
commutatorC2×C113C22×C16
FrattiniC2×C8C22×D113
FittingC4×C16×C113C2
socle, prime radicalC22×C113C22×C8
cosocleC2×C8×C113C23
hypercenterC4×C16D113
hypocenterC113Q8×C16
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C16 ◁ C4×C16

134 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3664 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 6413);