Finite Group Databasebeta

C2×#13114890 #15862581

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13114890

Splittings

SylowC13 ⋊ C2×#1814

Subgroups

subgroupG/H
centerC2×C4#88184
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC22×C13×#131C2
socleC22×C13#380
prime radicalC22×C13×#41C22
cosocleC22×C4×C13C24
hypercenterC22×#131D13
hypocenterC13C2×#1814
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#131

1330 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, 169230);