Finite Group Databasebeta

C92×D12 #14517279

order1944
isoclinismisoclinic class of Dic6
automorphism?
homologyAbelianization (H1) = C22×C92 · Schur multiplier (H2) = C2×C9

Aliases

direct productC92×D12
unambiguous semidirect productC4⋊(D3×C92)

Splittings

FittingC3×C4×C92 ⋊ C2
SylowC3×C92 ⋊ D4

Subgroups

subgroupG/H
centerC2×C92C2×D3
commutatorC2×C3C22×C92
FrattiniC2×C32C2×C32×D3
FittingC3×C4×C92C2
socle, cosocleC2×C33C22×C32
prime radicalC32×D12C32
hypercenterC4×C92D3
hypocenterC3D4×C92
LCSG ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C92 ◁ C4×C92

488 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 648

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1673);