Finite Group Databasebeta

D13×#2212 #16017287

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

Aliases

direct productD13×#2212

Splittings

FittingC13×#2212 ⋊ C2
SylowC13 ⋊ C2×#2212

Subgroups

subgroupG/H
centerC2D13×#459
commutator, cosocleC2×C8×C13C24
FrattiniC2×C8C23×D13
FittingC13×#2212C2
socleC2×C13C2×#459
prime radicalD13×#509C2
hypercenter#2212D13
hypocenterC13C2×#2212
LCSG ▷ C2×C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C2×C4 ◁ C4×C8 ◁ #2212

706 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

184 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 323936);