Extensions 1→N→G→Q→1 with N=C₂²xC₁₄ and Q=C₈

Direct product G=NxQ with N=C₂²xC₁₄ and Q=C₈

		d	ρ	Label	ID
C₂³xC₅₆		448		C2^3xC56	448,1348

Semidirect products G=N:Q with N=C₂²xC₁₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₄):₁C₈ = C₇xC₂³:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂²xC₁₄	112		(C2^2xC14):1C8	448,127
(C₂²xC₁₄):₂C₈ = C₂⁴.Dic₇	φ: C₈/C₂ → C₄ ⊆ Aut C₂²xC₁₄	112		(C2^2xC14):2C8	448,82
(C₂²xC₁₄):₃C₈ = C₁₄xC₂²:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	224		(C2^2xC14):3C8	448,814
(C₂²xC₁₄):₄C₈ = C₂xC₂₈.₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	224		(C2^2xC14):4C8	448,740
(C₂²xC₁₄):₅C₈ = C₂³xC₇:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	448		(C2^2xC14):5C8	448,1233

Non-split extensions G=N.Q with N=C₂²xC₁₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₄).₁C₈ = C₇xC₂³.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂²xC₁₄	112	4	(C2^2xC14).1C8	448,153
(C₂²xC₁₄).₂C₈ = C₅₆.D₄	φ: C₈/C₂ → C₄ ⊆ Aut C₂²xC₁₄	112	4	(C2^2xC14).2C8	448,110
(C₂²xC₁₄).₃C₈ = C₇xC₂²:C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	224		(C2^2xC14).3C8	448,152
(C₂²xC₁₄).₄C₈ = C₁₄xM₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	224		(C2^2xC14).4C8	448,911
(C₂²xC₁₄).₅C₈ = C₅₆.₉₁D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	224		(C2^2xC14).5C8	448,106
(C₂²xC₁₄).₆C₈ = C₂²xC₇:C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	448		(C2^2xC14).6C8	448,630
(C₂²xC₁₄).₇C₈ = C₂xC₂₈.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂²xC₁₄	224		(C2^2xC14).7C8	448,631

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