Extensions 1→N→G→Q→1 with N=C3⋊D4 and Q=C12

Direct product G=N×Q with N=C3⋊D4 and Q=C12
dρLabelID
C12×C3⋊D448C12xC3:D4288,699

Semidirect products G=N:Q with N=C3⋊D4 and Q=C12
extensionφ:Q→Out NdρLabelID
C3⋊D4⋊C12 = C3×Dic34D4φ: C12/C6C2 ⊆ Out C3⋊D448C3:D4:C12288,652

Non-split extensions G=N.Q with N=C3⋊D4 and Q=C12
extensionφ:Q→Out NdρLabelID
C3⋊D4.C12 = C3×D12.C4φ: C12/C6C2 ⊆ Out C3⋊D4484C3:D4.C12288,678
C3⋊D4.2C12 = C3×C8○D12φ: trivial image482C3:D4.2C12288,672

׿
×
𝔽