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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C2×A4

Direct product G=N×Q with N=C2×C4 and Q=C2×A4
dρLabelID
A4×C22×C448A4xC2^2xC4192,1496

Semidirect products G=N:Q with N=C2×C4 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C2×A4) = A4×C22⋊C4φ: C2×A4/A4 → C2 ⊆ Aut C2×C424(C2xC4):1(C2xA4)192,994
(C2×C4)⋊2(C2×A4) = C2×D4×A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C424(C2xC4):2(C2xA4)192,1497
(C2×C4)⋊3(C2×A4) = A4×C4○D4φ: C2×A4/A4 → C2 ⊆ Aut C2×C4246(C2xC4):3(C2xA4)192,1501

Non-split extensions G=N.Q with N=C2×C4 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C2×A4) = A4×C4⋊C4φ: C2×A4/A4 → C2 ⊆ Aut C2×C448(C2xC4).1(C2xA4)192,995
(C2×C4).2(C2×A4) = (C2×Q8)⋊C12φ: C2×A4/A4 → C2 ⊆ Aut C2×C432(C2xC4).2(C2xA4)192,998
(C2×C4).3(C2×A4) = C4○D4⋊C12φ: C2×A4/A4 → C2 ⊆ Aut C2×C464(C2xC4).3(C2xA4)192,999
(C2×C4).4(C2×A4) = SL2(𝔽3)⋊5D4φ: C2×A4/A4 → C2 ⊆ Aut C2×C432(C2xC4).4(C2xA4)192,1003
(C2×C4).5(C2×A4) = SL2(𝔽3)⋊6D4φ: C2×A4/A4 → C2 ⊆ Aut C2×C464(C2xC4).5(C2xA4)192,1005
(C2×C4).6(C2×A4) = D4×SL2(𝔽3)φ: C2×A4/A4 → C2 ⊆ Aut C2×C432(C2xC4).6(C2xA4)192,1004
(C2×C4).7(C2×A4) = SL2(𝔽3)⋊3Q8φ: C2×A4/A4 → C2 ⊆ Aut C2×C464(C2xC4).7(C2xA4)192,1006
(C2×C4).8(C2×A4) = Q8×SL2(𝔽3)φ: C2×A4/A4 → C2 ⊆ Aut C2×C464(C2xC4).8(C2xA4)192,1007
(C2×C4).9(C2×A4) = A4×M4(2)φ: C2×A4/A4 → C2 ⊆ Aut C2×C4246(C2xC4).9(C2xA4)192,1011
(C2×C4).10(C2×A4) = M4(2).A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C4324(C2xC4).10(C2xA4)192,1013
(C2×C4).11(C2×A4) = C2×Q8×A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C448(C2xC4).11(C2xA4)192,1499
(C2×C4).12(C2×A4) = C2×Q8.A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C448(C2xC4).12(C2xA4)192,1502
(C2×C4).13(C2×A4) = C2×D4.A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C432(C2xC4).13(C2xA4)192,1503
(C2×C4).14(C2×A4) = 2- 1+4⋊3C6φ: C2×A4/A4 → C2 ⊆ Aut C2×C4324(C2xC4).14(C2xA4)192,1504
(C2×C4).15(C2×A4) = C8×SL2(𝔽3)central extension (φ=1)64(C2xC4).15(C2xA4)192,200
(C2×C4).16(C2×A4) = A4×C42central extension (φ=1)48(C2xC4).16(C2xA4)192,993
(C2×C4).17(C2×A4) = C2×C4×SL2(𝔽3)central extension (φ=1)64(C2xC4).17(C2xA4)192,996
(C2×C4).18(C2×A4) = C4×C4.A4central extension (φ=1)64(C2xC4).18(C2xA4)192,997
(C2×C4).19(C2×A4) = A4×C2×C8central extension (φ=1)48(C2xC4).19(C2xA4)192,1010
(C2×C4).20(C2×A4) = C2×C8.A4central extension (φ=1)64(C2xC4).20(C2xA4)192,1012
(C2×C4).21(C2×A4) = C22×C4.A4central extension (φ=1)64(C2xC4).21(C2xA4)192,1500

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