Finite Group Databasebeta

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C4×C13⋊C3×C103 #30632533

order16068
isoclinismisoclinic class of C13⋊C3
automorphism?
homologyAbelianization (H1) = C3×C4×C103 · Schur multiplier (H2) = C1

Aliases

direct productC4×C13⋊C3×C103
unambiguous semidirect product(C4×C13)⋊(C3×C103)

Splittings

Fitting, HallC4×C13×C103 ⋊ C3
derived, SylowC13 ⋊ C3×C4×C103
HallC13×C103 ⋊ C3×C4
HallC4×C13 ⋊ C3×C103

Subgroups

subgroupG/H
center, hypercenterC4×C103C13⋊C3
commutator, hypocenterC13C3×C4×C103
FrattiniC2C2×C13⋊C3×C103
FittingC4×C13×C103C3
socleC2×C13×C103C2×C3
prime radicalC2×C13⋊C3×C103C2
cosocleC2×C13C2×C3×C103
LCSG ▷ C13
UCSC1 ◁ C4×C103

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 5356

Conjugacy classes & character table

2884 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16068, 3);