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

Direct product G=N×Q with N=C5 and Q=C4×D4
dρLabelID
D4×C2080D4xC20160,179

Semidirect products G=N:Q with N=C5 and Q=C4×D4
extensionφ:Q→Aut NdρLabelID
C5⋊(C4×D4) = D4×F5φ: C4×D4/D4C4 ⊆ Aut C5208+C5:(C4xD4)160,207
C52(C4×D4) = C4×D20φ: C4×D4/C42C2 ⊆ Aut C580C5:2(C4xD4)160,94
C53(C4×D4) = Dic54D4φ: C4×D4/C22⋊C4C2 ⊆ Aut C580C5:3(C4xD4)160,102
C54(C4×D4) = D208C4φ: C4×D4/C4⋊C4C2 ⊆ Aut C580C5:4(C4xD4)160,114
C55(C4×D4) = C4×C5⋊D4φ: C4×D4/C22×C4C2 ⊆ Aut C580C5:5(C4xD4)160,149
C56(C4×D4) = D4×Dic5φ: C4×D4/C2×D4C2 ⊆ Aut C580C5:6(C4xD4)160,155


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