Extensions 1→N→G→Q→1 with N=C5 and Q=C12⋊D4

Direct product G=N×Q with N=C5 and Q=C12⋊D4
dρLabelID
C5×C12⋊D4240C5xC12:D4480,774

Semidirect products G=N:Q with N=C5 and Q=C12⋊D4
extensionφ:Q→Aut NdρLabelID
C51(C12⋊D4) = D30⋊D4φ: C12⋊D4/D6⋊C4C2 ⊆ Aut C5240C5:1(C12:D4)480,496
C52(C12⋊D4) = C4⋊D60φ: C12⋊D4/C3×C4⋊C4C2 ⊆ Aut C5240C5:2(C12:D4)480,860
C53(C12⋊D4) = C606D4φ: C12⋊D4/S3×C2×C4C2 ⊆ Aut C5240C5:3(C12:D4)480,536
C54(C12⋊D4) = Dic5⋊D12φ: C12⋊D4/C2×D12C2 ⊆ Aut C5240C5:4(C12:D4)480,492
C55(C12⋊D4) = C202D12φ: C12⋊D4/C2×D12C2 ⊆ Aut C5240C5:5(C12:D4)480,542


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