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C9×C11×D157 #44527256

order31086
automorphism?
homologyAbelianization (H1) = C2×C9×C11 · Schur multiplier (H2) = C1

Aliases

direct productC9×C11×D157

Splittings

Fitting, HallC9×C11×C157 ⋊ C2
derived, SylowC157 ⋊ C2×C9×C11
HallC11×C157 ⋊ C2×C9
HallC9×C157 ⋊ C2×C11

Subgroups

subgroupG/H
center, hypercenterC9×C11D157
commutator, hypocenterC157C2×C9×C11
FrattiniC3C3×C11×D157
FittingC9×C11×C157C2
socleC3×C11×C157C2×C3
prime radicalC3×C11×D157C3
cosocleC3×C157C2×C3×C11
LCSG ▷ C157
UCSC1 ◁ C9×C11

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15543

Conjugacy classes & character table

7920 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31086, 3);