Extensions 1→N→G→Q→1 with N=D₇×C₂²⋊C₄ and Q=C₂

Direct product G=N×Q with N=D₇×C₂²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₇×C₂²⋊C₄		112		C2xD7xC2^2:C4	448,937

Semidirect products G=N:Q with N=D₇×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₂²⋊C₄)⋊₁C₂ = D₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	56		(D7xC2^2:C4):1C2	448,1041
(D₇×C₂²⋊C₄)⋊₂C₂ = C₂⁴⋊₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):2C2	448,1042
(D₇×C₂²⋊C₄)⋊₃C₂ = C₂⁴.₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):3C2	448,1044
(D₇×C₂²⋊C₄)⋊₄C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):4C2	448,1057
(D₇×C₂²⋊C₄)⋊₅C₂ = C₁₄.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):5C2	448,1063
(D₇×C₂²⋊C₄)⋊₆C₂ = D₂₈⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):6C2	448,1065
(D₇×C₂²⋊C₄)⋊₇C₂ = C₁₄.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):7C2	448,1066
(D₇×C₂²⋊C₄)⋊₈C₂ = D₂₈⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):8C2	448,1083
(D₇×C₂²⋊C₄)⋊₉C₂ = C₁₄.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):9C2	448,1090
(D₇×C₂²⋊C₄)⋊₁₀C₂ = D₇×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):10C2	448,1105
(D₇×C₂²⋊C₄)⋊₁₁C₂ = C₁₄.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):11C2	448,1106
(D₇×C₂²⋊C₄)⋊₁₂C₂ = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):12C2	448,1107
(D₇×C₂²⋊C₄)⋊₁₃C₂ = C₁₄.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):13C2	448,1110
(D₇×C₂²⋊C₄)⋊₁₄C₂ = C₁₄.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):14C2	448,1111
(D₇×C₂²⋊C₄)⋊₁₅C₂ = C₁₄.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):15C2	448,1112
(D₇×C₂²⋊C₄)⋊₁₆C₂ = D₇×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):16C2	448,1126
(D₇×C₂²⋊C₄)⋊₁₇C₂ = D₂₈⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):17C2	448,1129
(D₇×C₂²⋊C₄)⋊₁₈C₂ = C₄²⋊₂₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):18C2	448,1131
(D₇×C₂²⋊C₄)⋊₁₉C₂ = C₄²⋊₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):19C2	448,1132
(D₇×C₂²⋊C₄)⋊₂₀C₂ = C₄²⋊₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):20C2	448,1157
(D₇×C₂²⋊C₄)⋊₂₁C₂ = C₄²⋊₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):21C2	448,1158
(D₇×C₂²⋊C₄)⋊₂₂C₂ = D₇×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	56	8+	(D7xC2^2:C4):22C2	448,277
(D₇×C₂²⋊C₄)⋊₂₃C₂ = C₂⁴.₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):23C2	448,939
(D₇×C₂²⋊C₄)⋊₂₄C₂ = C₂⁴.₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):24C2	448,943
(D₇×C₂²⋊C₄)⋊₂₅C₂ = C₄²⋊₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):25C2	448,974
(D₇×C₂²⋊C₄)⋊₂₆C₂ = C₄²⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):26C2	448,980
(D₇×C₂²⋊C₄)⋊₂₇C₂ = C₄²⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):27C2	448,998
(D₇×C₂²⋊C₄)⋊₂₈C₂ = D₂₈⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):28C2	448,1003
(D₇×C₂²⋊C₄)⋊₂₉C₂ = C₄²⋊₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112		(D7xC2^2:C4):29C2	448,1009
(D₇×C₂²⋊C₄)⋊₃₀C₂ = C₄×D₄×D₇	φ: trivial image	112		(D7xC2^2:C4):30C2	448,997

Non-split extensions G=N.Q with N=D₇×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₇×C₂²⋊C₄).₁C₂ = D₇×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112	(D7xC2^2:C4).1C2	448,1079
(D₇×C₂²⋊C₄).₂C₂ = C₁₄.₅₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112	(D7xC2^2:C4).2C2	448,1087
(D₇×C₂²⋊C₄).₃C₂ = D₇×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²⋊C₄	112	(D7xC2^2:C4).3C2	448,1156
(D₇×C₂²⋊C₄).₄C₂ = D₇×C₄²⋊C₂	φ: trivial image	112	(D7xC2^2:C4).4C2	448,973

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Extensions 1→N→G→Q→1 with N=D7×C22⋊C4 and Q=C2

Extensions 1→N→G→Q→1 with N=D₇×C₂²⋊C₄ and Q=C₂