Finite Group Databasebeta

D13×#2922 #16726651

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

Aliases

direct productD13×#2922

Splittings

FittingC13×#2922 ⋊ C2
SylowC13 ⋊ C2×#2922

Subgroups

subgroupG/H
centerC42C23×D13
commutator, socleC22×C13C24×C4
FrattiniC2×C4C24×D13
FittingC13×#2922C2
prime radicalC2×#41×D13C22
cosocleC2×C4×C13C25
hypercenter#2922D13
hypocenterC13C2×#2922
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C42 ◁ #2922

2222 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1033300);