Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4.A4

Direct product G=N×Q with N=C5 and Q=C2×C4.A4
dρLabelID
C10×C4.A4160C10xC4.A4480,1130

Semidirect products G=N:Q with N=C5 and Q=C2×C4.A4
extensionφ:Q→Aut NdρLabelID
C51(C2×C4.A4) = C2×Dic5.A4φ: C2×C4.A4/C2×SL2(𝔽3)C2 ⊆ Aut C5160C5:1(C2xC4.A4)480,1038
C52(C2×C4.A4) = D5×C4.A4φ: C2×C4.A4/C4.A4C2 ⊆ Aut C5804C5:2(C2xC4.A4)480,1042


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