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Extensions 1→N→G→Q→1 with N=C5 and Q=Q8.D4

Direct product G=N×Q with N=C5 and Q=Q8.D4
dρLabelID
C5×Q8.D4160C5xQ8.D4320,965

Semidirect products G=N:Q with N=C5 and Q=Q8.D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(Q8.D4) = Dic10.D4φ: Q8.D4/D4⋊C4 → C2 ⊆ Aut C5160C5:1(Q8.D4)320,394
C5⋊2(Q8.D4) = Dic10.11D4φ: Q8.D4/Q8⋊C4 → C2 ⊆ Aut C5160C5:2(Q8.D4)320,425
C5⋊3(Q8.D4) = C42.36D10φ: Q8.D4/C4⋊C8 → C2 ⊆ Aut C5160C5:3(Q8.D4)320,472
C5⋊4(Q8.D4) = Q8.1D20φ: Q8.D4/C4×Q8 → C2 ⊆ Aut C5160C5:4(Q8.D4)320,655
C5⋊5(Q8.D4) = C42.61D10φ: Q8.D4/C4.4D4 → C2 ⊆ Aut C5160C5:5(Q8.D4)320,681
C5⋊6(Q8.D4) = (C5×Q8).D4φ: Q8.D4/C2×SD16 → C2 ⊆ Aut C5160C5:6(Q8.D4)320,793
C5⋊7(Q8.D4) = (C2×Q16)⋊D5φ: Q8.D4/C2×Q16 → C2 ⊆ Aut C5160C5:7(Q8.D4)320,812


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