Finite Group Databasebeta

D13×#1638 #15838668

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD13×#1638

Splittings

FittingC13×#1638 ⋊ C2
SylowC13 ⋊ C2×#1638

Subgroups

subgroupG/H
centerC22D13×#120
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC13×#1638C2
socleC22×C13C2×#120
prime radicalC2×D4×D13D4
hypercenter#1638D13
hypocenterC13C2×#1638
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ #1638

946 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 145317);