Extensions 1→N→G→Q→1 with N=C₄xD₇ and Q=C₄

Direct product G=NxQ with N=C₄xD₇ and Q=C₄

		d	ρ	Label	ID
D₇xC₄²		112		D7xC4^2	224,66

Semidirect products G=N:Q with N=C₄xD₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇):₁C₄ = D₇xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₇	112		(C4xD7):1C4	224,86
(C₄xD₇):₂C₄ = C₄:C₄:₇D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₇	112		(C4xD7):2C4	224,87
(C₄xD₇):₃C₄ = C₄²:D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₇	112		(C4xD7):3C4	224,67

Non-split extensions G=N.Q with N=C₄xD₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇).₁C₄ = D₇xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₇	56	4	(C4xD7).1C4	224,101
(C₄xD₇).₂C₄ = C₁₆:D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₇	112	2	(C4xD7).2C4	224,4
(C₄xD₇).₃C₄ = C₂xC₈:D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₇	112		(C4xD7).3C4	224,95
(C₄xD₇).₄C₄ = D₇xC₁₆	φ: trivial image	112	2	(C4xD7).4C4	224,3
(C₄xD₇).₅C₄ = D₇xC₂xC₈	φ: trivial image	112		(C4xD7).5C4	224,94

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