Extensions 1→N→G→Q→1 with N=C20 and Q=C2×A4

Direct product G=N×Q with N=C20 and Q=C2×A4
dρLabelID
A4×C2×C20120A4xC2xC20480,1126

Semidirect products G=N:Q with N=C20 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
C201(C2×A4) = A4×D20φ: C2×A4/A4C2 ⊆ Aut C20606+C20:1(C2xA4)480,1037
C202(C2×A4) = C4×D5×A4φ: C2×A4/A4C2 ⊆ Aut C20606C20:2(C2xA4)480,1036
C203(C2×A4) = C5×D4×A4φ: C2×A4/A4C2 ⊆ Aut C20606C20:3(C2xA4)480,1127

Non-split extensions G=N.Q with N=C20 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
C20.1(C2×A4) = A4×Dic10φ: C2×A4/A4C2 ⊆ Aut C201206-C20.1(C2xA4)480,1035
C20.2(C2×A4) = Dic10.A4φ: C2×A4/A4C2 ⊆ Aut C201204+C20.2(C2xA4)480,1041
C20.3(C2×A4) = D20.A4φ: C2×A4/A4C2 ⊆ Aut C20804-C20.3(C2xA4)480,1043
C20.4(C2×A4) = A4×C52C8φ: C2×A4/A4C2 ⊆ Aut C201206C20.4(C2xA4)480,265
C20.5(C2×A4) = SL2(𝔽3).Dic5φ: C2×A4/A4C2 ⊆ Aut C201604C20.5(C2xA4)480,267
C20.6(C2×A4) = D5×C4.A4φ: C2×A4/A4C2 ⊆ Aut C20804C20.6(C2xA4)480,1042
C20.7(C2×A4) = C5×Q8×A4φ: C2×A4/A4C2 ⊆ Aut C201206C20.7(C2xA4)480,1129
C20.8(C2×A4) = C5×Q8.A4φ: C2×A4/A4C2 ⊆ Aut C201204C20.8(C2xA4)480,1131
C20.9(C2×A4) = C5×D4.A4φ: C2×A4/A4C2 ⊆ Aut C20804C20.9(C2xA4)480,1132
C20.10(C2×A4) = A4×C40central extension (φ=1)1203C20.10(C2xA4)480,659
C20.11(C2×A4) = C5×C8.A4central extension (φ=1)1602C20.11(C2xA4)480,660
C20.12(C2×A4) = C10×C4.A4central extension (φ=1)160C20.12(C2xA4)480,1130

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