Finite Group Databasebeta

C3×C22⋊Dic41 #14520125

order1968
automorphism?
homologyAbelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C22

Aliases

direct productC3×C22⋊Dic41

Splittings

HallC3×C41 ⋊ C22⋊C4
SylowC41 ⋊ C3×C22⋊C4

Subgroups

subgroupG/H
centerC22×C3C2×D41
commutatorC2×C41C2×C3×C4
FrattiniC22C2×C3×D41
Fitting, prime radicalC23×C3×C41C2
socleC22×C3×C41C22
cosocleC22×C41C22×C3
hypercenterC23×C3D41
hypocenterC41C3×C22⋊C4
LCSG ▷ C2×C41 ▷ C41
UCSC1 ◁ C22×C3 ◁ C23×C3

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1968, 48);