Finite Group Databasebeta

D3×Q8×C41 #14520244

order1968
automorphism?
homologyAbelianization (H1) = C23×C41 · Schur multiplier (H2) = C22

Aliases

direct productD3×Q8×C41

Splittings

FittingC3×Q8×C41 ⋊ C2
HallC3×C41 ⋊ C2×Q8
SylowC3 ⋊ C2×Q8×C41

Subgroups

subgroupG/H
centerC2×C41C22×D3
commutator, cosocleC2×C3C23×C41
FrattiniC2C22×D3×C41
FittingC3×Q8×C41C2
socleC2×C3×C41C23
prime radicalC2×D3×C41C22
hypercenterQ8×C41D3
hypocenterC3C2×Q8×C41
LCSG ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C41 ◁ Q8×C41

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1968, 167);