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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4.10D4

Direct product G=N×Q with N=C5 and Q=C2×C4.10D4
dρLabelID
C10×C4.10D4160C10xC4.10D4320,913

Semidirect products G=N:Q with N=C5 and Q=C2×C4.10D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C4.10D4) = C2×Dic5.D4φ: C2×C4.10D4/C22×C4 → C4 ⊆ Aut C5160C5:1(C2xC4.10D4)320,1098
C5⋊2(C2×C4.10D4) = (C2×Q8).7F5φ: C2×C4.10D4/C2×Q8 → C4 ⊆ Aut C5808-C5:2(C2xC4.10D4)320,1127
C5⋊3(C2×C4.10D4) = D5×C4.10D4φ: C2×C4.10D4/C4.10D4 → C2 ⊆ Aut C5808-C5:3(C2xC4.10D4)320,377
C5⋊4(C2×C4.10D4) = C2×C4.12D20φ: C2×C4.10D4/C2×M4(2) → C2 ⊆ Aut C5160C5:4(C2xC4.10D4)320,763
C5⋊5(C2×C4.10D4) = C2×C20.10D4φ: C2×C4.10D4/C22×Q8 → C2 ⊆ Aut C5160C5:5(C2xC4.10D4)320,853


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