Finite Group Databasebeta

C2×#13117131 #16021029

order3328
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13117131

Splittings

FittingC2×C13×M64 ⋊ C2
SylowC13 ⋊ C2×#2258

Subgroups

subgroupG/H
centerC2×C16C22×D13
commutatorC2×C13C23×C16
FrattiniC16C23×D13
FittingC2×C13×M64C2
socleC22×C13C22×C16
prime radicalC2×#6127C8
cosocleC13×C16C24
hypercenterC2×M64D13
hypocenterC13C2×#2258
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C16 ◁ C2×M64

470 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 327678);