Finite Group Databasebeta

D13×D16 #11718571

order832
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productD13×D16

Splittings

FittingC13×D16 ⋊ C2
SylowC13 ⋊ C2×D16

Subgroups

subgroupG/H
centerC2D8×D13
commutator, cosocleC8×C13C23
FrattiniC8C22×D13
FittingC13×D16C2
socleC2×C13C2×D8
hypercenterD16D13
hypocenterC13C2×D16
LCSG ▷ C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ D16

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofD13×D32, D13×SD64, #13117147, …
maximal normal subgroup ofD13×D32, D13×SD64, #13117147, …
maximal quotient ofD13×#357, D13×#366, #13116680, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(832, 537);