Extensions 1→N→G→Q→1 with N=C5 and Q=C4.Q8

Direct product G=N×Q with N=C5 and Q=C4.Q8
dρLabelID
C5×C4.Q8160C5xC4.Q8160,56

Semidirect products G=N:Q with N=C5 and Q=C4.Q8
extensionφ:Q→Aut NdρLabelID
C5⋊(C4.Q8) = C40⋊C4φ: C4.Q8/C8 → C4 ⊆ Aut C5404C5:(C4.Q8)160,68
C5⋊2(C4.Q8) = C20.Q8φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C5160C5:2(C4.Q8)160,15
C5⋊3(C4.Q8) = C40⋊6C4φ: C4.Q8/C2×C8 → C2 ⊆ Aut C5160C5:3(C4.Q8)160,24


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