Finite Group Databasebeta

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C9×C11×C13×D13 #45689558

order33462
automorphism?
homologyAbelianization (H1) = C2×C9×C11×C13 · Schur multiplier (H2) = C1

Aliases

direct productC9×C11×C13×D13

Splittings

Fitting, HallC9×C11×C132 ⋊ C2
derivedC13 ⋊ C2×C9×C11×C13
HallC11×C132 ⋊ C2×C9
HallC9×C132 ⋊ C2×C11
SylowC132 ⋊ C2×C9×C11

Subgroups

subgroupG/H
center, hypercenterC9×C11×C13D13
commutator, hypocenterC13C2×C9×C11×C13
FrattiniC3C3×C11×C13×D13
FittingC9×C11×C132C2
socleC3×C11×C132C2×C3
prime radicalC3×C11×C13×D13C3
cosocleC3×C13C2×C3×C11×C13
LCSG ▷ C13
UCSC1 ◁ C9×C11×C13

84 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2574

Conjugacy classes & character table

10296 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33462, 66);