Finite Group Databasebeta

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C33×#66851 #23748609

order9477
isoclinismisoclinic class of #66848
automorphism?
homologyAbelianization (H1) = C35 · Schur multiplier (H2) = C39

Aliases

direct productC33×#66851

Splittings

SylowC13 ⋊ C33×3−1+2

Subgroups

subgroupG/H
centerC34C3×C13⋊C3
commutator, cosocleC3×C13C35
FrattiniC3C34×C13⋊C3
Fitting, prime radicalC35×C13C3
socleC34×C13C32
hypercenterC35C13⋊C3
hypocenterC13C33×3−1+2
LCSG ▷ C3×C13 ▷ C13
UCSC1 ◁ C34 ◁ C35

7208 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1269 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9477, 4018);