Finite Group Databasebeta

C2×#13115735 #15866894

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#13115735

Splittings

SylowC13 ⋊ C2×#1976

Subgroups

subgroupG/H
centerC2×C4#88192
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
Fitting, prime radicalC22×C13×#135C2
socleC22×C13#390
cosocleC22×C4×C13C24
hypercenterC22×#135D13
hypocenterC13C2×#1976
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#135

1474 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 173543);