Extensions 1→N→G→Q→1 with N=C₂²xD₇ and Q=C₈

Direct product G=NxQ with N=C₂²xD₇ and Q=C₈

		d	ρ	Label	ID
D₇xC₂²xC₈		224		D7xC2^2xC8	448,1189

Semidirect products G=N:Q with N=C₂²xD₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₇):C₈ = (C₂²xD₇):C₈	φ: C₈/C₂ → C₄ ⊆ Out C₂²xD₇	112		(C2^2xD7):C8	448,25
(C₂²xD₇):₂C₈ = D₇xC₂²:C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²xD₇	112		(C2^2xD7):2C8	448,258
(C₂²xD₇):₃C₈ = C₂xD₁₄:C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²xD₇	224		(C2^2xD7):3C8	448,642

Non-split extensions G=N.Q with N=C₂²xD₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xD₇).C₈ = M₅(2):D₇	φ: C₈/C₂ → C₄ ⊆ Out C₂²xD₇	112	4	(C2^2xD7).C8	448,71
(C₂²xD₇).₂C₈ = D₁₄:C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂²xD₇	224		(C2^2xD7).2C8	448,64
(C₂²xD₇).₃C₈ = C₂xC₁₆:D₇	φ: C₈/C₄ → C₂ ⊆ Out C₂²xD₇	224		(C2^2xD7).3C8	448,434
(C₂²xD₇).₄C₈ = D₇xM₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²xD₇	112	4	(C2^2xD7).4C8	448,440
(C₂²xD₇).₅C₈ = D₇xC₂xC₁₆	φ: trivial image	224		(C2^2xD7).5C8	448,433

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