Extensions 1→N→G→Q→1 with N=C4×A4 and Q=C10

Direct product G=N×Q with N=C4×A4 and Q=C10
dρLabelID
A4×C2×C20120A4xC2xC20480,1126

Semidirect products G=N:Q with N=C4×A4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×A4)⋊1C10 = C5×C4⋊S4φ: C10/C5C2 ⊆ Out C4×A4606(C4xA4):1C10480,1015
(C4×A4)⋊2C10 = C20×S4φ: C10/C5C2 ⊆ Out C4×A4603(C4xA4):2C10480,1014
(C4×A4)⋊3C10 = C5×D4×A4φ: C10/C5C2 ⊆ Out C4×A4606(C4xA4):3C10480,1127

Non-split extensions G=N.Q with N=C4×A4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4×A4).1C10 = C5×A4⋊Q8φ: C10/C5C2 ⊆ Out C4×A41206(C4xA4).1C10480,1013
(C4×A4).2C10 = C5×A4⋊C8φ: C10/C5C2 ⊆ Out C4×A41203(C4xA4).2C10480,255
(C4×A4).3C10 = C5×Q8×A4φ: C10/C5C2 ⊆ Out C4×A41206(C4xA4).3C10480,1129
(C4×A4).4C10 = A4×C40φ: trivial image1203(C4xA4).4C10480,659

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