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

Direct product G=N×Q with N=C5 and Q=C2×D4
dρLabelID
D4×C1040D4xC1080,46

Semidirect products G=N:Q with N=C5 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×D4) = C2×D20φ: C2×D4/C2×C4 → C2 ⊆ Aut C540C5:1(C2xD4)80,37
C5⋊2(C2×D4) = D4×D5φ: C2×D4/D4 → C2 ⊆ Aut C5204+C5:2(C2xD4)80,39
C5⋊3(C2×D4) = C2×C5⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C540C5:3(C2xD4)80,44


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