Finite Group Databasebeta

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C3×C11×D481 #44540795

order31746
automorphism?
homologyAbelianization (H1) = C2×C3×C11 · Schur multiplier (H2) = C1

Aliases

direct productC3×C11×D481

Splittings

Fitting, socle, HallC3×C11×C13×C37 ⋊ C2
derived, HallC13×C37 ⋊ C2×C3×C11
HallC11×C13×C37 ⋊ C2×C3
HallC3×C13×C37 ⋊ C2×C11
HallC3×C11×C37 ⋊ D13
HallC3×C11×C13 ⋊ D37
HallC11×C37 ⋊ C3×D13
HallC11×C13 ⋊ C3×D37
HallC3×C37 ⋊ C11×D13
HallC3×C13 ⋊ C11×D37
SylowC37 ⋊ C3×C11×D13
SylowC13 ⋊ C3×C11×D37

Subgroups

subgroupG/H
center, hypercenterC3×C11D481
commutator, cosocle, hypocenterC13×C37C2×C3×C11
FrattiniC1G
Fitting, socleC3×C11×C13×C37C2
LCSG ▷ C13×C37
UCSC1 ◁ C3×C11

32 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15873

Conjugacy classes & character table

7986 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31746, 8);