Finite Group Databasebeta

D13×#2170 #16016143

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productD13×#2170

Splittings

FittingC13×#2170 ⋊ C2
SylowC13 ⋊ C2×#2170

Subgroups

subgroupG/H
centerC16D4×D13
commutatorC4×C13C23×C8
FrattiniC2×C8C23×D13
FittingC13×#2170C2
socleC2×C13C2×C8×D4
prime radicalD13×#135C4
cosocleC2×C8×C13C24
hypercenter#2170D13
hypocenterC13C2×#2170
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C16 ◁ C2×C16 ◁ #2170

662 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, 322792);