Finite Group Databasebeta

C2×D13×#473 #16730302

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×D13×#473

Splittings

FittingC2×C13×#473 ⋊ C2
SylowC13 ⋊ C22×#473

Subgroups

subgroupG/H
centerC22D13×#121
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#473C2
socleC22×C13C2×#121
prime radicalC2×#41×D13C22
hypercenterC2×#473D13
hypocenterC13C22×#473
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#473

2630 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1036951);