# Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C33⋊C2

Direct product G=N×Q with N=C22 and Q=C2×C33⋊C2
dρLabelID
C23×C33⋊C2216C2^3xC3^3:C2432,774

Semidirect products G=N:Q with N=C22 and Q=C2×C33⋊C2
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×C33⋊C2) = C2×C324S4φ: C2×C33⋊C2/C3×C6S3 ⊆ Aut C2254C2^2:(C2xC3^3:C2)432,762
C222(C2×C33⋊C2) = D4×C33⋊C2φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C22108C2^2:2(C2xC3^3:C2)432,724
C223(C2×C33⋊C2) = C2×C3315D4φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C22216C2^2:3(C2xC3^3:C2)432,729

Non-split extensions G=N.Q with N=C22 and Q=C2×C33⋊C2
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C33⋊C2) = C62.100D6φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C22216C2^2.1(C2xC3^3:C2)432,725
C22.2(C2×C33⋊C2) = C62.160D6φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C22216C2^2.2(C2xC3^3:C2)432,723
C22.3(C2×C33⋊C2) = C4×C335C4central extension (φ=1)432C2^2.3(C2xC3^3:C2)432,503
C22.4(C2×C33⋊C2) = C62.146D6central extension (φ=1)432C2^2.4(C2xC3^3:C2)432,504
C22.5(C2×C33⋊C2) = C62.147D6central extension (φ=1)432C2^2.5(C2xC3^3:C2)432,505
C22.6(C2×C33⋊C2) = C62.148D6central extension (φ=1)216C2^2.6(C2xC3^3:C2)432,506
C22.7(C2×C33⋊C2) = C63.C2central extension (φ=1)216C2^2.7(C2xC3^3:C2)432,511
C22.8(C2×C33⋊C2) = C2×C338Q8central extension (φ=1)432C2^2.8(C2xC3^3:C2)432,720
C22.9(C2×C33⋊C2) = C2×C4×C33⋊C2central extension (φ=1)216C2^2.9(C2xC3^3:C2)432,721
C22.10(C2×C33⋊C2) = C2×C3312D4central extension (φ=1)216C2^2.10(C2xC3^3:C2)432,722
C22.11(C2×C33⋊C2) = C22×C335C4central extension (φ=1)432C2^2.11(C2xC3^3:C2)432,728

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