Finite Group Databasebeta

C2×#13131057 #16806752

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13131057

Splittings

SylowC13 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC2×C4C2×C4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC2×C13×#117C4
socleC22×C13C2×#97
prime radicalC24×C13M16
cosocleC2×#1055C24
hypercenterC2×#117#261
hypocenterC13C2×#2110
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×#117

738 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1113401);