Finite Group Databasebeta

D13×#2974 #16727648

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD13×#2974

Splittings

FittingC13×#2974 ⋊ C2
SylowC13 ⋊ C2×#2974

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D13
commutator, socleC22×C13C24×C4
FittingC13×#2974C2
prime radicalC22×D4×D13C4
cosocleC2×C4×C13C25
hypercenter#2974D13
hypocenterC13C2×#2974
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #2974

2654 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1034297);