Finite Group Databasebeta

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C2×C9×C131⋊C13 #44499804

order30654
automorphism?
homologyAbelianization (H1) = C2×C9×C13 · Schur multiplier (H2) = C1

Aliases

direct productC2×C9×C131⋊C13
unambiguous semidirect product(C2×C131)⋊(C9×C13)
unambiguous semidirect product(C2×C9×C131)⋊C13

Splittings

Fitting, HallC2×C9×C131 ⋊ C13
derived, SylowC131 ⋊ C2×C9×C13
HallC9×C131 ⋊ C2×C13
HallC2×C131 ⋊ C9×C13

Subgroups

subgroupG/H
center, hypercenterC2×C9C131⋊C13
commutator, hypocenterC131C2×C9×C13
FrattiniC3C2×C3×C131⋊C13
FittingC2×C9×C131C13
socleC2×C3×C131C3×C13
prime radicalC2×C3×C131⋊C13C3
cosocleC3×C131C2×C3×C13
LCSG ▷ C131
UCSC1 ◁ C2×C9

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2358

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30654, 2);