Extensions 1→N→G→Q→1 with N=C22xD5 and Q=A4

Direct product G=NxQ with N=C22xD5 and Q=A4
dρLabelID
C22xD5xA460C2^2xD5xA4480,1202

Semidirect products G=N:Q with N=C22xD5 and Q=A4
extensionφ:Q→Out NdρLabelID
(C22xD5):A4 = (C22xD5):A4φ: A4/C1A4 ⊆ Out C22xD5406(C2^2xD5):A4480,268
(C22xD5):2A4 = D5xC22:A4φ: A4/C22C3 ⊆ Out C22xD560(C2^2xD5):2A4480,1203

Non-split extensions G=N.Q with N=C22xD5 and Q=A4
extensionφ:Q→Out NdρLabelID
(C22xD5).1A4 = C20:4D4:C3φ: A4/C1A4 ⊆ Out C22xD5606+(C2^2xD5).1A4480,262
(C22xD5).2A4 = (C4xC20):C6φ: A4/C1A4 ⊆ Out C22xD5806(C2^2xD5).2A4480,263
(C22xD5).3A4 = D5xC42:C3φ: A4/C22C3 ⊆ Out C22xD5606(C2^2xD5).3A4480,264
(C22xD5).4A4 = C2xD5xSL2(F3)φ: trivial image80(C2^2xD5).4A4480,1039

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