Finite Group Databasebeta

D13×#2920 #16726638

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD13×#2920

Splittings

FittingC13×#2920 ⋊ C2
SylowC13 ⋊ C2×#2920

Subgroups

subgroupG/H
centerC42C23×D13
commutator, socleC22×C13C24×C4
FrattiniC2×C4C24×D13
FittingC13×#2920C2
prime radicalC24×D13C2×C4
cosocleC2×C4×C13C25
hypercenter#2920D13
hypocenterC13C2×#2920
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C42 ◁ #2920

2806 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1033287);