Extensions 1→N→G→Q→1 with N=C3 and Q=C20.53D4

Direct product G=N×Q with N=C3 and Q=C20.53D4
dρLabelID
C3×C20.53D42404C3xC20.53D4480,100

Semidirect products G=N:Q with N=C3 and Q=C20.53D4
extensionφ:Q→Aut NdρLabelID
C3⋊1(C20.53D4) = C60.105D4φ: C20.53D4/C2×C5⋊2C8 → C2 ⊆ Aut C32404C3:1(C20.53D4)480,67
C3⋊2(C20.53D4) = C60.D4φ: C20.53D4/C4.Dic5 → C2 ⊆ Aut C32404C3:2(C20.53D4)480,68
C3⋊3(C20.53D4) = C60.210D4φ: C20.53D4/C5×M4(2) → C2 ⊆ Aut C32404C3:3(C20.53D4)480,182


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