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C11×(C79⋊C3)⋊C13 #46799809

order33891
automorphism?
homologyAbelianization (H1) = C3×C11×C13 · Schur multiplier (H2) = C1

Aliases

direct productC11×(C79⋊C3)⋊C13
unambiguous semidirect product(C79⋊C3)⋊(C11×C13)
unambiguous semidirect product(C79⋊C13)⋊(C3×C11)
unambiguous semidirect product(C11×C79⋊C3)⋊C13
unambiguous semidirect product(C11×C79⋊C13)⋊C3

Splittings

Fitting, socle, HallC11×C79 ⋊ C3×C13
derived, SylowC79 ⋊ C3×C11×C13
HallC11×C79⋊C13 ⋊ C3
HallC11×C79⋊C3 ⋊ C13
HallC79⋊C13 ⋊ C3×C11
HallC79⋊C3 ⋊ C11×C13

Subgroups

subgroupG/H
center, hypercenterC11(C79⋊C3)⋊C13
commutator, cosocle, hypocenterC79C3×C11×C13
FrattiniC1G
Fitting, socleC11×C79C3×C13
LCSG ▷ C79
UCSC1 ◁ C11

16 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 869

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33891, 7);