Extensions 1→N→G→Q→1 with N=C₂×D₄×D₇ and Q=C₂

Direct product G=N×Q with N=C₂×D₄×D₇ and Q=C₂

		d	ρ	Label	ID
C₂²×D₄×D₇		112		C2^2xD4xD7	448,1369

Semidirect products G=N:Q with N=C₂×D₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄×D₇)⋊₁C₂ = D₄⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):1C2	448,307
(C₂×D₄×D₇)⋊₂C₂ = D₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):2C2	448,690
(C₂×D₄×D₇)⋊₃C₂ = D₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):3C2	448,1002
(C₂×D₄×D₇)⋊₄C₂ = D₄⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):4C2	448,1007
(C₂×D₄×D₇)⋊₅C₂ = D₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	56		(C2xD4xD7):5C2	448,1041
(C₂×D₄×D₇)⋊₆C₂ = C₂⁴⋊₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):6C2	448,1042
(C₂×D₄×D₇)⋊₇C₂ = C₂⁴⋊₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):7C2	448,1043
(C₂×D₄×D₇)⋊₈C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):8C2	448,1057
(C₂×D₄×D₇)⋊₉C₂ = C₁₄.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):9C2	448,1058
(C₂×D₄×D₇)⋊₁₀C₂ = C₁₄.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):10C2	448,1060
(C₂×D₄×D₇)⋊₁₁C₂ = D₂₈⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):11C2	448,1062
(C₂×D₄×D₇)⋊₁₂C₂ = C₁₄.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):12C2	448,1063
(C₂×D₄×D₇)⋊₁₃C₂ = D₂₈⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):13C2	448,1065
(C₂×D₄×D₇)⋊₁₄C₂ = C₁₄.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):14C2	448,1106
(C₂×D₄×D₇)⋊₁₅C₂ = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):15C2	448,1107
(C₂×D₄×D₇)⋊₁₆C₂ = C₄²⋊₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):16C2	448,1127
(C₂×D₄×D₇)⋊₁₇C₂ = D₂₈⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):17C2	448,1129
(C₂×D₄×D₇)⋊₁₈C₂ = D₇×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):18C2	448,1167
(C₂×D₄×D₇)⋊₁₉C₂ = C₄²⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):19C2	448,1168
(C₂×D₄×D₇)⋊₂₀C₂ = D₂₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):20C2	448,1170
(C₂×D₄×D₇)⋊₂₁C₂ = C₂×D₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):21C2	448,1207
(C₂×D₄×D₇)⋊₂₂C₂ = C₂×D₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):22C2	448,1208
(C₂×D₄×D₇)⋊₂₃C₂ = C₂×D₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):23C2	448,1212
(C₂×D₄×D₇)⋊₂₄C₂ = D₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	56	8+	(C2xD4xD7):24C2	448,1225
(C₂×D₄×D₇)⋊₂₅C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):25C2	448,1254
(C₂×D₄×D₇)⋊₂₆C₂ = C₁₄.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):26C2	448,1282
(C₂×D₄×D₇)⋊₂₇C₂ = C₂×D₄⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):27C2	448,1371
(C₂×D₄×D₇)⋊₂₈C₂ = C₂×D₄⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7):28C2	448,1376
(C₂×D₄×D₇)⋊₂₉C₂ = D₇×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	56	8+	(C2xD4xD7):29C2	448,1379
(C₂×D₄×D₇)⋊₃₀C₂ = C₂×D₇×C₄○D₄	φ: trivial image	112		(C2xD4xD7):30C2	448,1375

Non-split extensions G=N.Q with N=C₂×D₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄×D₇).₁C₂ = D₇×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	56	8+	(C2xD4xD7).1C2	448,277
(C₂×D₄×D₇).₂C₂ = D₇×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	56	8+	(C2xD4xD7).2C2	448,278
(C₂×D₄×D₇).₃C₂ = D₇×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).3C2	448,303
(C₂×D₄×D₇).₄C₂ = (D₄×D₇)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).4C2	448,304
(C₂×D₄×D₇).₅C₂ = D₄.₆D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).5C2	448,310
(C₂×D₄×D₇).₆C₂ = D₁₄⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).6C2	448,703
(C₂×D₄×D₇).₇C₂ = C₄²⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).7C2	448,998
(C₂×D₄×D₇).₈C₂ = D₇×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).8C2	448,1105
(C₂×D₄×D₇).₉C₂ = D₇×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).9C2	448,1126
(C₂×D₄×D₇).₁₀C₂ = C₂×D₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄×D₇	112		(C2xD4xD7).10C2	448,1211
(C₂×D₄×D₇).₁₁C₂ = C₄×D₄×D₇	φ: trivial image	112		(C2xD4xD7).11C2	448,997

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Extensions 1→N→G→Q→1 with N=C2×D4×D7 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂×D₄×D₇ and Q=C₂