Finite Group Databasebeta

C2×#13116639 #16015989

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13116639

Splittings

SylowC13 ⋊ C2×#2163

Subgroups

subgroupG/H
centerC22×C8C22×D13
commutatorC22×C13C23×C8
FrattiniC2×C8C23×D13
FittingC22×C4×C8×C13C2
socleC23×C13C22×C8
prime radicalC24×C13C2×C8
cosocleC2×C8×C13C24
hypercenterC22×C4×C8D13
hypocenterC13C2×#2163
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ C22×C4×C8

686 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 322638);