# Extensions 1→N→G→Q→1 with N=C4×A4 and Q=C22

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

Semidirect products G=N:Q with N=C4×A4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×A4)⋊C22 = D4×S4φ: C22/C1C22 ⊆ Out C4×A4126+(C4xA4):C2^2192,1472
(C4×A4)⋊2C22 = C2×C4⋊S4φ: C22/C2C2 ⊆ Out C4×A424(C4xA4):2C2^2192,1470
(C4×A4)⋊3C22 = C2×C4×S4φ: C22/C2C2 ⊆ Out C4×A424(C4xA4):3C2^2192,1469
(C4×A4)⋊4C22 = C2×D4×A4φ: C22/C2C2 ⊆ Out C4×A424(C4xA4):4C2^2192,1497

Non-split extensions G=N.Q with N=C4×A4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×A4).1C22 = A4⋊SD16φ: C22/C1C22 ⊆ Out C4×A4246(C4xA4).1C2^2192,973
(C4×A4).2C22 = D4⋊S4φ: C22/C1C22 ⊆ Out C4×A4246+(C4xA4).2C2^2192,974
(C4×A4).3C22 = A42Q16φ: C22/C1C22 ⊆ Out C4×A4486-(C4xA4).3C2^2192,975
(C4×A4).4C22 = Q83S4φ: C22/C1C22 ⊆ Out C4×A4246(C4xA4).4C2^2192,976
(C4×A4).5C22 = D42S4φ: C22/C1C22 ⊆ Out C4×A4246(C4xA4).5C2^2192,1473
(C4×A4).6C22 = Q8×S4φ: C22/C1C22 ⊆ Out C4×A4246-(C4xA4).6C2^2192,1477
(C4×A4).7C22 = Q84S4φ: C22/C1C22 ⊆ Out C4×A4246(C4xA4).7C2^2192,1478
(C4×A4).8C22 = A4⋊Q16φ: C22/C2C2 ⊆ Out C4×A4486-(C4xA4).8C2^2192,957
(C4×A4).9C22 = C82S4φ: C22/C2C2 ⊆ Out C4×A4246(C4xA4).9C2^2192,960
(C4×A4).10C22 = A4⋊D8φ: C22/C2C2 ⊆ Out C4×A4246+(C4xA4).10C2^2192,961
(C4×A4).11C22 = C2×A4⋊Q8φ: C22/C2C2 ⊆ Out C4×A448(C4xA4).11C2^2192,1468
(C4×A4).12C22 = C8×S4φ: C22/C2C2 ⊆ Out C4×A4243(C4xA4).12C2^2192,958
(C4×A4).13C22 = C8⋊S4φ: C22/C2C2 ⊆ Out C4×A4246(C4xA4).13C2^2192,959
(C4×A4).14C22 = C2×A4⋊C8φ: C22/C2C2 ⊆ Out C4×A448(C4xA4).14C2^2192,967
(C4×A4).15C22 = A4⋊M4(2)φ: C22/C2C2 ⊆ Out C4×A4246(C4xA4).15C2^2192,968
(C4×A4).16C22 = C24.10D6φ: C22/C2C2 ⊆ Out C4×A4246(C4xA4).16C2^2192,1471
(C4×A4).17C22 = A4×D8φ: C22/C2C2 ⊆ Out C4×A4246+(C4xA4).17C2^2192,1014
(C4×A4).18C22 = A4×SD16φ: C22/C2C2 ⊆ Out C4×A4246(C4xA4).18C2^2192,1015
(C4×A4).19C22 = A4×Q16φ: C22/C2C2 ⊆ Out C4×A4486-(C4xA4).19C2^2192,1016
(C4×A4).20C22 = C2×Q8×A4φ: C22/C2C2 ⊆ Out C4×A448(C4xA4).20C2^2192,1499
(C4×A4).21C22 = A4×C4○D4φ: C22/C2C2 ⊆ Out C4×A4246(C4xA4).21C2^2192,1501
(C4×A4).22C22 = A4×C2×C8φ: trivial image48(C4xA4).22C2^2192,1010
(C4×A4).23C22 = A4×M4(2)φ: trivial image246(C4xA4).23C2^2192,1011

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