Finite Group Databasebeta

← Prev (#26039398) Next (#26039400) →

D3×C13⋊C3×C49 #26039399

order11466
automorphism?
homologyAbelianization (H1) = C2×C3×C49 · Schur multiplier (H2) = C1

Aliases

direct productD3×C13⋊C3×C49
unambiguous semidirect productC3⋊(C2×C13⋊C3×C49)
unambiguous semidirect product(D3×C13)⋊(C3×C49)

Splittings

FittingC3×C13×C49 ⋊ C2×C3
derivedC3×C13 ⋊ C2×C3×C49
HallC3×C13⋊C3×C49 ⋊ C2
HallC13×C49 ⋊ C3×D3
HallC3×C13⋊C3 ⋊ C2×C49
SylowC13 ⋊ C3×D3×C49

Subgroups

subgroupG/H
center, hypercenterC49D3×C13⋊C3
commutator, hypocenterC3×C13C2×C3×C49
FrattiniC7D3×C7×C13⋊C3
FittingC3×C13×C49C2×C3
socle, cosocleC3×C7×C13C2×C3×C7
prime radicalD3×C7×C13⋊C3C7
LCSG ▷ C3×C13
UCSC1 ◁ C49

54 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1029 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofD3×C49×D13⋊C3, D3×(C13⋊C3)⋊D49, D3×C13⋊C3×D49, …
maximal normal subgroup ofD3×C49×D13⋊C3, D3×(C13⋊C3)⋊D49, D3×C13⋊C3×D49, …
maximal quotient ofDic3×C13⋊C3×C49, C2×D3×C13⋊C3×C49

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11466, 42);