Finite Group Databasebeta

D13×#1291 #15752829

order3328
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct productD13×#1291

Splittings

FittingC13×#1291 ⋊ C2
SylowC13 ⋊ C2×#1291

Subgroups

subgroupG/H
centerC22D13×#95
commutatorC2×C4×C13C2×C42
FrattiniC2×C42C22×D13
FittingC13×#1291C2
socleC22×C13C2×#95
prime radicalC23×D13C4⋊C4
cosocleC2×C42×C13C23
hypercenter#1291D13
hypocenterC13C2×#1291
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1291

610 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 59478);