Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C3⋊Dic3

Direct product G=N×Q with N=C22 and Q=C3×C3⋊Dic3
dρLabelID
C2×C6×C3⋊Dic3144C2xC6xC3:Dic3432,718

Semidirect products G=N:Q with N=C22 and Q=C3×C3⋊Dic3
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C3⋊Dic3) = C3×C6.7S4φ: C3×C3⋊Dic3/C3×C6 → S3 ⊆ Aut C22366C2^2:(C3xC3:Dic3)432,618
C22⋊2(C3×C3⋊Dic3) = A4×C3⋊Dic3φ: C3×C3⋊Dic3/C3⋊Dic3 → C3 ⊆ Aut C22108C2^2:2(C3xC3:Dic3)432,627
C22⋊3(C3×C3⋊Dic3) = C3×C62⋊5C4φ: C3×C3⋊Dic3/C32×C6 → C2 ⊆ Aut C2272C2^2:3(C3xC3:Dic3)432,495

Non-split extensions G=N.Q with N=C22 and Q=C3×C3⋊Dic3
extensionφ:Q→Aut NdρLabelID
C22.(C3×C3⋊Dic3) = C3×C12.58D6φ: C3×C3⋊Dic3/C32×C6 → C2 ⊆ Aut C2272C2^2.(C3xC3:Dic3)432,486
C22.2(C3×C3⋊Dic3) = C6×C32⋊4C8central extension (φ=1)144C2^2.2(C3xC3:Dic3)432,485

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁