Finite Group Databasebeta

C2×#13113034 #15783409

order3328
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13113034

Splittings

SylowC13 ⋊ C2×#1422

Subgroups

subgroupG/H
centerC2×C16D52
commutatorC4×C13C22×C16
FrattiniC2×C16C22×D13
FittingC2×C4×C13×C16C2
socleC22×C13C4⋊C16
prime radicalC23×C13M32
cosocleC2×C13×C16C23
hypercenterC2×C4×C16D13
hypocenterC13C2×#1422
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C16 ◁ C22×C16 ◁ C2×C4×C16

214 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 90058);