Finite Group Databasebeta

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C9×C11×D169 #45689498

order33462
automorphism?
homologyAbelianization (H1) = C2×C9×C11 · Schur multiplier (H2) = C1

Aliases

direct productC9×C11×D169

Splittings

Fitting, HallC9×C11×C169 ⋊ C2
derived, SylowC169 ⋊ C2×C9×C11
HallC11×C169 ⋊ C2×C9
HallC9×C169 ⋊ C2×C11

Subgroups

subgroupG/H
center, hypercenterC9×C11D169
commutator, hypocenterC169C2×C9×C11
FrattiniC3×C13C3×C11×D13
FittingC9×C11×C169C2
socleC3×C11×C13C3×D13
prime radicalC3×C11×D169C3
cosocleC3×C169C2×C3×C11
LCSG ▷ C169
UCSC1 ◁ C9×C11

36 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16731

Conjugacy classes & character table

8514 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33462, 6);