Finite Group Databasebeta

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C4×C7×C79⋊C9 #34092541

order19908
automorphism?
homologyAbelianization (H1) = C4×C7×C9 · Schur multiplier (H2) = C1

Aliases

direct productC4×C7×C79⋊C9
unambiguous semidirect product(C4×C79)⋊(C7×C9)

Splittings

derived, SylowC79 ⋊ C4×C7×C9
HallC4×C7×C79 ⋊ C9
HallC7×C79 ⋊ C4×C9
HallC4×C79 ⋊ C7×C9

Subgroups

subgroupG/H
center, hypercenterC3×C4×C7C79⋊C3
commutator, hypocenterC79C4×C7×C9
FrattiniC2×C3C2×C7×C79⋊C3
FittingC3×C4×C7×C79C3
socle, prime radicalC2×C3×C7×C79C2×C3
cosocleC2×C3×C79C2×C3×C7
LCSG ▷ C79
UCSC1 ◁ C3×C4×C7

36 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 19908

Conjugacy classes & character table

2436 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19908, 2);