Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C32⋊C4

Direct product G=N×Q with N=C22 and Q=C3×C32⋊C4
dρLabelID
C2×C6×C32⋊C448C2xC6xC3^2:C4432,765

Semidirect products G=N:Q with N=C22 and Q=C3×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C32⋊C4) = A4×C32⋊C4φ: C3×C32⋊C4/C32⋊C4C3 ⊆ Aut C222412+C2^2:(C3xC3^2:C4)432,744
C222(C3×C32⋊C4) = C3×C62⋊C4φ: C3×C32⋊C4/C3×C3⋊S3C2 ⊆ Aut C22244C2^2:2(C3xC3^2:C4)432,634

Non-split extensions G=N.Q with N=C22 and Q=C3×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C22.(C3×C32⋊C4) = C3×C62.C4φ: C3×C32⋊C4/C3×C3⋊S3C2 ⊆ Aut C22244C2^2.(C3xC3^2:C4)432,633
C22.2(C3×C32⋊C4) = C6×C322C8central extension (φ=1)48C2^2.2(C3xC3^2:C4)432,632

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