Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xC₇:C₃

Direct product G=NxQ with N=D₄ and Q=C₂xC₇:C₃

		d	ρ	Label	ID
C₂xD₄xC₇:C₃		56		C2xD4xC7:C3	336,165

Semidirect products G=N:Q with N=D₄ and Q=C₂xC₇:C₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:(C₂xC₇:C₃) = D₈xC₇:C₃	φ: C₂xC₇:C₃/C₇:C₃ → C₂ ⊆ Out D₄	56	6	D4:(C2xC7:C3)	336,53
D₄:₂(C₂xC₇:C₃) = C₄oD₄xC₇:C₃	φ: trivial image	56	6	D4:2(C2xC7:C3)	336,167

Non-split extensions G=N.Q with N=D₄ and Q=C₂xC₇:C₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₂xC₇:C₃) = SD₁₆xC₇:C₃	φ: C₂xC₇:C₃/C₇:C₃ → C₂ ⊆ Out D₄	56	6	D4.(C2xC7:C3)	336,54

Extensions 1→N→G→Q→1 with N=D4 and Q=C2xC7:C3