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
C5⋊1(C2×C4≀C2) = C2×D4⋊F5φ: C2×C4≀C2/C2×D4 → C4 ⊆ Aut C580C5:1(C2xC4wrC2)320,1106
C5⋊2(C2×C4≀C2) = C2×Q8⋊2F5φ: C2×C4≀C2/C2×Q8 → C4 ⊆ Aut C580C5:2(C2xC4wrC2)320,1121
C5⋊3(C2×C4≀C2) = D5⋊C4≀C2φ: C2×C4≀C2/C4○D4 → C4 ⊆ Aut C5408C5:3(C2xC4wrC2)320,1130
C5⋊4(C2×C4≀C2) = D5×C4≀C2φ: C2×C4≀C2/C4≀C2 → C2 ⊆ Aut C5404C5:4(C2xC4wrC2)320,447
C5⋊5(C2×C4≀C2) = C2×D20⋊4C4φ: C2×C4≀C2/C2×C42 → C2 ⊆ Aut C580C5:5(C2xC4wrC2)320,554
C5⋊6(C2×C4≀C2) = C2×D20⋊7C4φ: C2×C4≀C2/C2×M4(2) → C2 ⊆ Aut C580C5:6(C2xC4wrC2)320,765
C5⋊7(C2×C4≀C2) = C2×D4⋊2Dic5φ: C2×C4≀C2/C2×C4○D4 → C2 ⊆ Aut C580C5:7(C2xC4wrC2)320,862


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