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

Direct product G=N×Q with N=C5 and Q=C2×C4≀C2
dρLabelID
C10×C4≀C280C10xC4wrC2320,921

Semidirect products G=N:Q with N=C5 and Q=C2×C4≀C2
extensionφ:Q→Aut NdρLabelID
C51(C2×C4≀C2) = C2×D4⋊F5φ: C2×C4≀C2/C2×D4C4 ⊆ Aut C580C5:1(C2xC4wrC2)320,1106
C52(C2×C4≀C2) = C2×Q82F5φ: C2×C4≀C2/C2×Q8C4 ⊆ Aut C580C5:2(C2xC4wrC2)320,1121
C53(C2×C4≀C2) = D5⋊C4≀C2φ: C2×C4≀C2/C4○D4C4 ⊆ Aut C5408C5:3(C2xC4wrC2)320,1130
C54(C2×C4≀C2) = D5×C4≀C2φ: C2×C4≀C2/C4≀C2C2 ⊆ Aut C5404C5:4(C2xC4wrC2)320,447
C55(C2×C4≀C2) = C2×D204C4φ: C2×C4≀C2/C2×C42C2 ⊆ Aut C580C5:5(C2xC4wrC2)320,554
C56(C2×C4≀C2) = C2×D207C4φ: C2×C4≀C2/C2×M4(2)C2 ⊆ Aut C580C5:6(C2xC4wrC2)320,765
C57(C2×C4≀C2) = C2×D42Dic5φ: C2×C4≀C2/C2×C4○D4C2 ⊆ Aut C580C5:7(C2xC4wrC2)320,862


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