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

Direct product G=N×Q with N=C5 and Q=C2×D4⋊C4
dρLabelID
C10×D4⋊C4160C10xD4:C4320,915

Semidirect products G=N:Q with N=C5 and Q=C2×D4⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C2×D4⋊C4) = C2×D20⋊C4φ: C2×D4⋊C4/C2×D4 → C4 ⊆ Aut C580C5:(C2xD4:C4)320,1104
C5⋊2(C2×D4⋊C4) = D5×D4⋊C4φ: C2×D4⋊C4/D4⋊C4 → C2 ⊆ Aut C580C5:2(C2xD4:C4)320,396
C5⋊3(C2×D4⋊C4) = C2×D20⋊6C4φ: C2×D4⋊C4/C2×C4⋊C4 → C2 ⊆ Aut C5160C5:3(C2xD4:C4)320,592
C5⋊4(C2×D4⋊C4) = C2×D20⋊5C4φ: C2×D4⋊C4/C22×C8 → C2 ⊆ Aut C5160C5:4(C2xD4:C4)320,739
C5⋊5(C2×D4⋊C4) = C2×D4⋊Dic5φ: C2×D4⋊C4/C22×D4 → C2 ⊆ Aut C5160C5:5(C2xD4:C4)320,841


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