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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4.D4

Direct product G=N×Q with N=C5 and Q=C2×C4.D4
dρLabelID
C10×C4.D480C10xC4.D4320,912

Semidirect products G=N:Q with N=C5 and Q=C2×C4.D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C4.D4) = D5⋊(C4.D4)φ: C2×C4.D4/C2×D4 → C4 ⊆ Aut C5408+C5:1(C2xC4.D4)320,1116
C5⋊2(C2×C4.D4) = C2×C23.F5φ: C2×C4.D4/C24 → C4 ⊆ Aut C580C5:2(C2xC4.D4)320,1137
C5⋊3(C2×C4.D4) = D5×C4.D4φ: C2×C4.D4/C4.D4 → C2 ⊆ Aut C5408+C5:3(C2xC4.D4)320,371
C5⋊4(C2×C4.D4) = C2×C20.46D4φ: C2×C4.D4/C2×M4(2) → C2 ⊆ Aut C580C5:4(C2xC4.D4)320,757
C5⋊5(C2×C4.D4) = C2×C20.D4φ: C2×C4.D4/C22×D4 → C2 ⊆ Aut C580C5:5(C2xC4.D4)320,843


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