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

Direct product G=N×Q with N=C3⋊D4 and Q=C20
dρLabelID
C20×C3⋊D4240C20xC3:D4480,807

Semidirect products G=N:Q with N=C3⋊D4 and Q=C20
extensionφ:Q→Out NdρLabelID
C3⋊D4⋊C20 = C5×Dic34D4φ: C20/C10C2 ⊆ Out C3⋊D4240C3:D4:C20480,760

Non-split extensions G=N.Q with N=C3⋊D4 and Q=C20
extensionφ:Q→Out NdρLabelID
C3⋊D4.C20 = C5×D12.C4φ: C20/C10C2 ⊆ Out C3⋊D42404C3:D4.C20480,786
C3⋊D4.2C20 = C5×C8○D12φ: trivial image2402C3:D4.2C20480,780

׿
×
𝔽