Finite Group Databasebeta

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C2×C13⋊C3×D19⋊C3 #22580256

order8892
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3

Aliases

direct productC2×C13⋊C3×D19⋊C3
unambiguous semidirect product(C19⋊C3)⋊(C22×C13⋊C3)
unambiguous semidirect product(C2×C19⋊C3)⋊(C2×C13⋊C3)
unambiguous semidirect product(C2×C13×D19⋊C3)⋊C3
unambiguous semidirect product(C2×#13093360)⋊C3
unambiguous semidirect product(C2×#13093361)⋊C3
unambiguous semidirect product(C2×D19×C13⋊C3)⋊C3

Splittings

Fitting, socleC2×C13×C19 ⋊ C2×C32
derived, HallC13×C19 ⋊ C22×C32
HallC13⋊C3×C19⋊C3 ⋊ C22
HallC2×C13×D19 ⋊ C32
HallC2×D19 ⋊ C3×C13⋊C3
SylowC19 ⋊ C22×C3×C13⋊C3
SylowC13 ⋊ C2×C3×D19⋊C3

Subgroups

subgroupG/H
center, hypercenterC2C13⋊C3×D19⋊C3
commutator, hypocenterC13×C19C22×C32
FrattiniC1G
Fitting, socleC2×C13×C19C2×C32
LCSG ▷ C13×C19
UCSC1 ◁ C2

120 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

126 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8892, 159);