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

Direct product G=N×Q with N=C5 and Q=C4≀C2
dρLabelID
C5×C4≀C2402C5xC4wrC2160,54

Semidirect products G=N:Q with N=C5 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C51C4≀C2 = D4⋊F5φ: C4≀C2/D4C4 ⊆ Aut C5408-C5:1C4wrC2160,83
C52C4≀C2 = Q82F5φ: C4≀C2/Q8C4 ⊆ Aut C5408+C5:2C4wrC2160,85
C53C4≀C2 = D204C4φ: C4≀C2/C42C2 ⊆ Aut C5402C5:3C4wrC2160,12
C54C4≀C2 = D207C4φ: C4≀C2/M4(2)C2 ⊆ Aut C5404C5:4C4wrC2160,32
C55C4≀C2 = D42Dic5φ: C4≀C2/C4○D4C2 ⊆ Aut C5404C5:5C4wrC2160,44


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