Finite Group Databasebeta

C2×#13116652 #16016046

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13116652

Splittings

SylowC13 ⋊ C2×#2166

Subgroups

subgroupG/H
centerC2×C4#88180
commutatorC2×C4×C13C23×C4
FrattiniC2×C8C23×D13
FittingC2×C13×#405C2
socleC22×C13#432
prime radicalC24×C13M16
cosocleC2×C8×C13C24
hypercenterC2×#405D13
hypocenterC13C2×#2166
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×#97 ◁ C2×#405

538 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 322695);