Extensions 1→N→G→Q→1 with N=C3 and Q=C6×C22⋊C4

Direct product G=N×Q with N=C3 and Q=C6×C22⋊C4
dρLabelID
C22⋊C4×C3×C6144C2^2:C4xC3xC6288,812

Semidirect products G=N:Q with N=C3 and Q=C6×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C31(C6×C22⋊C4) = C3×S3×C22⋊C4φ: C6×C22⋊C4/C3×C22⋊C4C2 ⊆ Aut C348C3:1(C6xC2^2:C4)288,651
C32(C6×C22⋊C4) = C6×D6⋊C4φ: C6×C22⋊C4/C22×C12C2 ⊆ Aut C396C3:2(C6xC2^2:C4)288,698
C33(C6×C22⋊C4) = C6×C6.D4φ: C6×C22⋊C4/C23×C6C2 ⊆ Aut C348C3:3(C6xC2^2:C4)288,723

Non-split extensions G=N.Q with N=C3 and Q=C6×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(C6×C22⋊C4) = C22⋊C4×C18central extension (φ=1)144C3.(C6xC2^2:C4)288,165

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