Extensions 1→N→G→Q→1 with N=C5 and Q=C6×C4⋊C4

Direct product G=N×Q with N=C5 and Q=C6×C4⋊C4
dρLabelID
C4⋊C4×C30480C4:C4xC30480,921

Semidirect products G=N:Q with N=C5 and Q=C6×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C6×C4⋊C4) = C6×C4⋊F5φ: C6×C4⋊C4/C2×C12C4 ⊆ Aut C5120C5:(C6xC4:C4)480,1051
C52(C6×C4⋊C4) = C3×D5×C4⋊C4φ: C6×C4⋊C4/C3×C4⋊C4C2 ⊆ Aut C5240C5:2(C6xC4:C4)480,684
C53(C6×C4⋊C4) = C6×C10.D4φ: C6×C4⋊C4/C22×C12C2 ⊆ Aut C5480C5:3(C6xC4:C4)480,716
C54(C6×C4⋊C4) = C6×C4⋊Dic5φ: C6×C4⋊C4/C22×C12C2 ⊆ Aut C5480C5:4(C6xC4:C4)480,718


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