Extensions 1→N→G→Q→1 with N=C3⋊D4 and Q=C4

Direct product G=N×Q with N=C3⋊D4 and Q=C4
dρLabelID
C4×C3⋊D448C4xC3:D496,135

Semidirect products G=N:Q with N=C3⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C3⋊D4⋊C4 = Dic34D4φ: C4/C2C2 ⊆ Out C3⋊D448C3:D4:C496,88

Non-split extensions G=N.Q with N=C3⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C3⋊D4.C4 = D12.C4φ: C4/C2C2 ⊆ Out C3⋊D4484C3:D4.C496,114
C3⋊D4.2C4 = C8○D12φ: trivial image482C3:D4.2C496,108

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