Finite Group Databasebeta

C2×C7×C19×D43 #37504238

order22876
automorphism?
homologyAbelianization (H1) = C22×C7×C19 · Schur multiplier (H2) = C2

Aliases

direct productC2×C7×C19×D43

Splittings

Fitting, socleC2×C7×C19×C43 ⋊ C2
derived, SylowC43 ⋊ C22×C7×C19
HallC7×C19×C43 ⋊ C22
HallC19×C43 ⋊ C22×C7
HallC7×C43 ⋊ C22×C19

Subgroups

subgroupG/H
center, hypercenterC2×C7×C19D43
commutator, cosocle, hypocenterC43C22×C7×C19
FrattiniC1G
Fitting, socleC2×C7×C19×C43C2
LCSG ▷ C43
UCSC1 ◁ C2×C7×C19

40 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11438

Conjugacy classes & character table

6118 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22876, 26);