Extensions 1→N→G→Q→1 with N=C22 and Q=C10xA4

Direct product G=NxQ with N=C22 and Q=C10xA4
dρLabelID
A4xC22xC10120A4xC2^2xC10480,1208

Semidirect products G=N:Q with N=C22 and Q=C10xA4
extensionφ:Q→Aut NdρLabelID
C22:(C10xA4) = C10xC22:A4φ: C10xA4/C22xC10C3 ⊆ Aut C2260C2^2:(C10xA4)480,1209
C22:2(C10xA4) = C5xD4xA4φ: C10xA4/C5xA4C2 ⊆ Aut C22606C2^2:2(C10xA4)480,1127

Non-split extensions G=N.Q with N=C22 and Q=C10xA4
extensionφ:Q→Aut NdρLabelID
C22.1(C10xA4) = C10xC42:C3φ: C10xA4/C22xC10C3 ⊆ Aut C22603C2^2.1(C10xA4)480,654
C22.2(C10xA4) = C5xC24:C6φ: C10xA4/C22xC10C3 ⊆ Aut C22406C2^2.2(C10xA4)480,656
C22.3(C10xA4) = C5xC42:C6φ: C10xA4/C22xC10C3 ⊆ Aut C22806C2^2.3(C10xA4)480,657
C22.4(C10xA4) = C5xC23.A4φ: C10xA4/C22xC10C3 ⊆ Aut C22606C2^2.4(C10xA4)480,658
C22.5(C10xA4) = C5xD4.A4φ: C10xA4/C5xA4C2 ⊆ Aut C22804C2^2.5(C10xA4)480,1132
C22.6(C10xA4) = C20xSL2(F3)central extension (φ=1)160C2^2.6(C10xA4)480,655
C22.7(C10xA4) = A4xC2xC20central extension (φ=1)120C2^2.7(C10xA4)480,1126
C22.8(C10xA4) = C2xC10xSL2(F3)central extension (φ=1)160C2^2.8(C10xA4)480,1128
C22.9(C10xA4) = C10xC4.A4central extension (φ=1)160C2^2.9(C10xA4)480,1130

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