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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C33⋊C2

Direct product G=N×Q with N=C2×C4 and Q=C33⋊C2
dρLabelID
C2×C4×C33⋊C2216C2xC4xC3^3:C2432,721

Semidirect products G=N:Q with N=C2×C4 and Q=C33⋊C2
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C33⋊C2) = C62.148D6φ: C33⋊C2/C33 → C2 ⊆ Aut C2×C4216(C2xC4):1(C3^3:C2)432,506
(C2×C4)⋊2(C33⋊C2) = C2×C33⋊12D4φ: C33⋊C2/C33 → C2 ⊆ Aut C2×C4216(C2xC4):2(C3^3:C2)432,722
(C2×C4)⋊3(C33⋊C2) = C62.160D6φ: C33⋊C2/C33 → C2 ⊆ Aut C2×C4216(C2xC4):3(C3^3:C2)432,723

Non-split extensions G=N.Q with N=C2×C4 and Q=C33⋊C2
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C33⋊C2) = C62.146D6φ: C33⋊C2/C33 → C2 ⊆ Aut C2×C4432(C2xC4).1(C3^3:C2)432,504
(C2×C4).2(C33⋊C2) = C33⋊18M4(2)φ: C33⋊C2/C33 → C2 ⊆ Aut C2×C4216(C2xC4).2(C3^3:C2)432,502
(C2×C4).3(C33⋊C2) = C62.147D6φ: C33⋊C2/C33 → C2 ⊆ Aut C2×C4432(C2xC4).3(C3^3:C2)432,505
(C2×C4).4(C33⋊C2) = C2×C33⋊8Q8φ: C33⋊C2/C33 → C2 ⊆ Aut C2×C4432(C2xC4).4(C3^3:C2)432,720
(C2×C4).5(C33⋊C2) = C2×C33⋊7C8central extension (φ=1)432(C2xC4).5(C3^3:C2)432,501
(C2×C4).6(C33⋊C2) = C4×C33⋊5C4central extension (φ=1)432(C2xC4).6(C3^3:C2)432,503

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