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

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

Semidirect products G=N:Q with N=C2×C4×A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×A4)⋊1C2 = C24.5D6φ: C2/C1C2 ⊆ Out C2×C4×A424(C2xC4xA4):1C2192,972
(C2×C4×A4)⋊2C2 = A4×C22⋊C4φ: C2/C1C2 ⊆ Out C2×C4×A424(C2xC4xA4):2C2192,994
(C2×C4×A4)⋊3C2 = C2×C4⋊S4φ: C2/C1C2 ⊆ Out C2×C4×A424(C2xC4xA4):3C2192,1470
(C2×C4×A4)⋊4C2 = C24.10D6φ: C2/C1C2 ⊆ Out C2×C4×A4246(C2xC4xA4):4C2192,1471
(C2×C4×A4)⋊5C2 = C2×C4×S4φ: C2/C1C2 ⊆ Out C2×C4×A424(C2xC4xA4):5C2192,1469
(C2×C4×A4)⋊6C2 = C2×D4×A4φ: C2/C1C2 ⊆ Out C2×C4×A424(C2xC4xA4):6C2192,1497
(C2×C4×A4)⋊7C2 = A4×C4○D4φ: C2/C1C2 ⊆ Out C2×C4×A4246(C2xC4xA4):7C2192,1501

Non-split extensions G=N.Q with N=C2×C4×A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×A4).1C2 = C24.3D6φ: C2/C1C2 ⊆ Out C2×C4×A448(C2xC4xA4).1C2192,970
(C2×C4×A4).2C2 = C24.4D6φ: C2/C1C2 ⊆ Out C2×C4×A448(C2xC4xA4).2C2192,971
(C2×C4×A4).3C2 = C2×A4⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×A448(C2xC4xA4).3C2192,1468
(C2×C4×A4).4C2 = A4⋊M4(2)φ: C2/C1C2 ⊆ Out C2×C4×A4246(C2xC4xA4).4C2192,968
(C2×C4×A4).5C2 = C2×A4⋊C8φ: C2/C1C2 ⊆ Out C2×C4×A448(C2xC4xA4).5C2192,967
(C2×C4×A4).6C2 = C4×A4⋊C4φ: C2/C1C2 ⊆ Out C2×C4×A448(C2xC4xA4).6C2192,969
(C2×C4×A4).7C2 = A4×C4⋊C4φ: C2/C1C2 ⊆ Out C2×C4×A448(C2xC4xA4).7C2192,995
(C2×C4×A4).8C2 = A4×M4(2)φ: C2/C1C2 ⊆ Out C2×C4×A4246(C2xC4xA4).8C2192,1011
(C2×C4×A4).9C2 = C2×Q8×A4φ: C2/C1C2 ⊆ Out C2×C4×A448(C2xC4xA4).9C2192,1499
(C2×C4×A4).10C2 = A4×C42φ: trivial image48(C2xC4xA4).10C2192,993
(C2×C4×A4).11C2 = A4×C2×C8φ: trivial image48(C2xC4xA4).11C2192,1010

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