Finite Group Databasebeta

C2×#13124845 #16730924

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13124845

Splittings

FittingC2×C13×#431 ⋊ C2
SylowC13 ⋊ C2×#3101

Subgroups

subgroupG/H
centerC22×C4C2×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#431C2
socleC23×C13C22×D4
prime radicalC23×D52C22
hypercenterC2×#431D13
hypocenterC13C2×#3101
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C2×#431

2570 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1037573);