Finite Group Databasebeta

C2×D13⋊#430 #16808157

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×D13⋊#430
unambiguous semidirect productD13⋊(C2×#430)

Splittings

SylowC13 ⋊ C22×#430

Subgroups

subgroupG/H
centerC2×C4C2×C4⋊#261
commutatorC4×C13C24×C4
FrattiniC4C24×#261
FittingC22×C13×M16C4
socleC22×C13C22×C4⋊C4
prime radicalC24×D13Q8
cosocleC4×D13C25
hypercenterC22×M16#261
hypocenterC13C22×#430
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×M16

2718 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114806);