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C2×C11×D43⋊C7 #27210367

order13244
automorphism?
homologyAbelianization (H1) = C22×C7×C11 · Schur multiplier (H2) = C2

Aliases

direct productC2×C11×D43⋊C7
unambiguous semidirect productD43⋊(C2×C7×C11)
unambiguous semidirect product(C2×D43)⋊(C7×C11)
unambiguous semidirect product(C43⋊C7)⋊(C22×C11)
unambiguous semidirect product(C2×C43⋊C7)⋊(C2×C11)
unambiguous semidirect product(C2×C11×D43)⋊C7

Splittings

Fitting, socleC2×C11×C43 ⋊ C2×C7
derived, SylowC43 ⋊ C22×C7×C11
HallC11×C43⋊C7 ⋊ C22
HallC2×C11×D43 ⋊ C7
HallC11×C43 ⋊ C22×C7
HallC43⋊C7 ⋊ C22×C11
HallC2×D43 ⋊ C7×C11

Subgroups

subgroupG/H
center, hypercenterC2×C11D43⋊C7
commutator, hypocenterC43C22×C7×C11
FrattiniC1G
Fitting, socleC2×C11×C43C2×C7
LCSG ▷ C43
UCSC1 ◁ C2×C11

40 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

374 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13244, 15);