Finite Group Databasebeta

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C2×C9×D943 #46800399

order33948
automorphism?
homologyAbelianization (H1) = C22×C9 · Schur multiplier (H2) = C2

Aliases

direct productC2×C9×D943
unambiguous semidirect product(C2×C23)⋊(C9×D41)
unambiguous semidirect product(C2×C41)⋊(C9×D23)

Splittings

FittingC2×C9×C23×C41 ⋊ C2
derived, HallC23×C41 ⋊ C22×C9
HallC9×C23×C41 ⋊ C22
HallC9×C41 ⋊ C2×D23
HallC9×C23 ⋊ C2×D41
SylowC41 ⋊ C2×C9×D23
SylowC23 ⋊ C2×C9×D41

Subgroups

subgroupG/H
center, hypercenterC2×C9D943
commutator, hypocenterC23×C41C22×C9
FrattiniC3C2×C3×D943
FittingC2×C9×C23×C41C2
socleC2×C3×C23×C41C2×C3
prime radicalC2×C3×D943C3
cosocleC3×C23×C41C22×C3
LCSG ▷ C23×C41
UCSC1 ◁ C2×C9

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16974

Conjugacy classes & character table

8514 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33948, 26);