Extensions 1→N→G→Q→1 with N=C22×A4 and Q=C10

Direct product G=N×Q with N=C22×A4 and Q=C10
dρLabelID
A4×C22×C10120A4xC2^2xC10480,1208

Semidirect products G=N:Q with N=C22×A4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C22×A4)⋊1C10 = C5×D4×A4φ: C10/C5C2 ⊆ Out C22×A4606(C2^2xA4):1C10480,1127
(C22×A4)⋊2C10 = C5×A4⋊D4φ: C10/C5C2 ⊆ Out C22×A4606(C2^2xA4):2C10480,1023
(C22×A4)⋊3C10 = C2×C10×S4φ: C10/C5C2 ⊆ Out C22×A460(C2^2xA4):3C10480,1198

Non-split extensions G=N.Q with N=C22×A4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C22×A4).C10 = C10×A4⋊C4φ: C10/C5C2 ⊆ Out C22×A4120(C2^2xA4).C10480,1022
(C22×A4).2C10 = A4×C2×C20φ: trivial image120(C2^2xA4).2C10480,1126

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