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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4⋊D4

Direct product G=N×Q with N=C5 and Q=C2×C4⋊D4
dρLabelID
C10×C4⋊D4160C10xC4:D4320,1524

Semidirect products G=N:Q with N=C5 and Q=C2×C4⋊D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C4⋊D4) = C2×D10⋊D4φ: C2×C4⋊D4/C2×C22⋊C4 → C2 ⊆ Aut C5160C5:1(C2xC4:D4)320,1161
C5⋊2(C2×C4⋊D4) = C2×C4⋊D20φ: C2×C4⋊D4/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:2(C2xC4:D4)320,1178
C5⋊3(C2×C4⋊D4) = D5×C4⋊D4φ: C2×C4⋊D4/C4⋊D4 → C2 ⊆ Aut C580C5:3(C2xC4:D4)320,1276
C5⋊4(C2×C4⋊D4) = C2×C20⋊7D4φ: C2×C4⋊D4/C23×C4 → C2 ⊆ Aut C5160C5:4(C2xC4:D4)320,1462
C5⋊5(C2×C4⋊D4) = C2×C20⋊2D4φ: C2×C4⋊D4/C22×D4 → C2 ⊆ Aut C5160C5:5(C2xC4:D4)320,1472
C5⋊6(C2×C4⋊D4) = C2×Dic5⋊D4φ: C2×C4⋊D4/C22×D4 → C2 ⊆ Aut C5160C5:6(C2xC4:D4)320,1474


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