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

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

Semidirect products G=N:Q with N=C4 and Q=C10×A4
extensionφ:Q→Aut NdρLabelID
C4⋊(C10×A4) = C5×D4×A4φ: C10×A4/C5×A4C2 ⊆ Aut C4606C4:(C10xA4)480,1127

Non-split extensions G=N.Q with N=C4 and Q=C10×A4
extensionφ:Q→Aut NdρLabelID
C4.1(C10×A4) = C5×Q8×A4φ: C10×A4/C5×A4C2 ⊆ Aut C41206C4.1(C10xA4)480,1129
C4.2(C10×A4) = C5×Q8.A4φ: C10×A4/C5×A4C2 ⊆ Aut C41204C4.2(C10xA4)480,1131
C4.3(C10×A4) = C5×D4.A4φ: C10×A4/C5×A4C2 ⊆ Aut C4804C4.3(C10xA4)480,1132
C4.4(C10×A4) = A4×C40central extension (φ=1)1203C4.4(C10xA4)480,659
C4.5(C10×A4) = C5×C8.A4central extension (φ=1)1602C4.5(C10xA4)480,660
C4.6(C10×A4) = C10×C4.A4central extension (φ=1)160C4.6(C10xA4)480,1130

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