Finite Group Databasebeta

C2×#13129442 #16770302

order3328
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#13129442

Splittings

FittingC22×C13×#125 ⋊ C2
SylowC13 ⋊ C2×#3563

Subgroups

subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC22×C13×#125C2
socleC23×C13C25
prime radicalC2×#88184C22
hypercenterC22×#125D13
hypocenterC13C2×#3563
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×#125

6458 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076951);