Extensions 1→N→G→Q→1 with N=D4xA4 and Q=C2

Direct product G=NxQ with N=D4xA4 and Q=C2
dρLabelID
C2xD4xA424C2xD4xA4192,1497

Semidirect products G=N:Q with N=D4xA4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xA4):1C2 = D4:S4φ: C2/C1C2 ⊆ Out D4xA4246+(D4xA4):1C2192,974
(D4xA4):2C2 = D4xS4φ: C2/C1C2 ⊆ Out D4xA4126+(D4xA4):2C2192,1472
(D4xA4):3C2 = D4:2S4φ: C2/C1C2 ⊆ Out D4xA4246(D4xA4):3C2192,1473
(D4xA4):4C2 = A4xD8φ: C2/C1C2 ⊆ Out D4xA4246+(D4xA4):4C2192,1014
(D4xA4):5C2 = A4xC4oD4φ: trivial image246(D4xA4):5C2192,1501

Non-split extensions G=N.Q with N=D4xA4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4xA4).1C2 = A4:SD16φ: C2/C1C2 ⊆ Out D4xA4246(D4xA4).1C2192,973
(D4xA4).2C2 = A4xSD16φ: C2/C1C2 ⊆ Out D4xA4246(D4xA4).2C2192,1015

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