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Extensions 1→N→G→Q→1 with N=C5 and Q=D4.2D4

Direct product G=N×Q with N=C5 and Q=D4.2D4
dρLabelID
C5×D4.2D4160C5xD4.2D4320,964

Semidirect products G=N:Q with N=C5 and Q=D4.2D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(D4.2D4) = D20.D4φ: D4.2D4/D4⋊C4 → C2 ⊆ Aut C5160C5:1(D4.2D4)320,414
C5⋊2(D4.2D4) = D20.12D4φ: D4.2D4/Q8⋊C4 → C2 ⊆ Aut C5160C5:2(D4.2D4)320,446
C5⋊3(D4.2D4) = D20.19D4φ: D4.2D4/C4⋊C8 → C2 ⊆ Aut C5160C5:3(D4.2D4)320,471
C5⋊4(D4.2D4) = D4.1D20φ: D4.2D4/C4×D4 → C2 ⊆ Aut C5160C5:4(D4.2D4)320,643
C5⋊5(D4.2D4) = D20.23D4φ: D4.2D4/C4.4D4 → C2 ⊆ Aut C5160C5:5(D4.2D4)320,684
C5⋊6(D4.2D4) = (C2×D8).D5φ: D4.2D4/C2×D8 → C2 ⊆ Aut C5160C5:6(D4.2D4)320,780
C5⋊7(D4.2D4) = (C5×D4).D4φ: D4.2D4/C2×SD16 → C2 ⊆ Aut C5160C5:7(D4.2D4)320,792


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