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Extensions 1→N→G→Q→1 with N=C5 and Q=D4.7D4

Direct product G=N×Q with N=C5 and Q=D4.7D4
dρLabelID
C5×D4.7D4160C5xD4.7D4320,953

Semidirect products G=N:Q with N=C5 and Q=D4.7D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(D4.7D4) = D20.32D4φ: D4.7D4/C22⋊C8 → C2 ⊆ Aut C5160C5:1(D4.7D4)320,360
C5⋊2(D4.7D4) = D4.D20φ: D4.7D4/D4⋊C4 → C2 ⊆ Aut C5160C5:2(D4.7D4)320,410
C5⋊3(D4.7D4) = Q8.D20φ: D4.7D4/Q8⋊C4 → C2 ⊆ Aut C5160C5:3(D4.7D4)320,437
C5⋊4(D4.7D4) = D20.37D4φ: D4.7D4/C22⋊Q8 → C2 ⊆ Aut C5160C5:4(D4.7D4)320,674
C5⋊5(D4.7D4) = Dic10.16D4φ: D4.7D4/C2×SD16 → C2 ⊆ Aut C5160C5:5(D4.7D4)320,800
C5⋊6(D4.7D4) = D20.17D4φ: D4.7D4/C2×Q16 → C2 ⊆ Aut C5160C5:6(D4.7D4)320,814
C5⋊7(D4.7D4) = (C5×D4).32D4φ: D4.7D4/C2×C4○D4 → C2 ⊆ Aut C5160C5:7(D4.7D4)320,866


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