Finite Group Databasebeta

C2×#13131211 #16807098

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

Aliases

direct productC2×#13131211

Splittings

SylowC13 ⋊ C2×#2166

Subgroups

subgroupG/H
centerC2×C4#88237
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC2×C4×C8×C13C4
socleC22×C13#432
prime radicalC23×D13M16
cosocleC2×#1055C24
hypercenterC2×C4×C8#261
hypocenterC13C2×#2166
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×C8

538 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1113747);