Extensions 1→N→G→Q→1 with N=C₇xQ₈ and Q=C₂²

Direct product G=NxQ with N=C₇xQ₈ and Q=C₂²

		d	ρ	Label	ID
Q₈xC₂xC₁₄		224		Q8xC2xC14	224,191

Semidirect products G=N:Q with N=C₇xQ₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈):₁C₂² = D₇xSD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇xQ₈	56	4	(C7xQ8):1C2^2	224,108
(C₇xQ₈):₂C₂² = D₅₆:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇xQ₈	56	4+	(C7xQ8):2C2^2	224,109
(C₇xQ₈):₃C₂² = C₂xQ₈:D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112		(C7xQ8):3C2^2	224,136
(C₇xQ₈):₄C₂² = D₄:D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	56	4+	(C7xQ8):4C2^2	224,144
(C₇xQ₈):₅C₂² = C₂xQ₈xD₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112		(C7xQ8):5C2^2	224,181
(C₇xQ₈):₆C₂² = C₂xQ₈:₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112		(C7xQ8):6C2^2	224,182
(C₇xQ₈):₇C₂² = D₇xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	56	4	(C7xQ8):7C2^2	224,184
(C₇xQ₈):₈C₂² = D₄:₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	56	4+	(C7xQ8):8C2^2	224,185
(C₇xQ₈):₉C₂² = C₁₄xSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112		(C7xQ8):9C2^2	224,168
(C₇xQ₈):₁₀C₂² = C₇xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	56	4	(C7xQ8):10C2^2	224,171
(C₇xQ₈):₁₁C₂² = C₁₄xC₄oD₄	φ: trivial image	112		(C7xQ8):11C2^2	224,192
(C₇xQ₈):₁₂C₂² = C₇x2₊¹⁺⁴	φ: trivial image	56	4	(C7xQ8):12C2^2	224,193

Non-split extensions G=N.Q with N=C₇xQ₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈).₁C₂² = SD₁₆:D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇xQ₈	112	4-	(C7xQ8).1C2^2	224,110
(C₇xQ₈).₂C₂² = SD₁₆:₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇xQ₈	112	4	(C7xQ8).2C2^2	224,111
(C₇xQ₈).₃C₂² = D₇xQ₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇xQ₈	112	4-	(C7xQ8).3C2^2	224,112
(C₇xQ₈).₄C₂² = Q₁₆:D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇xQ₈	112	4	(C7xQ8).4C2^2	224,113
(C₇xQ₈).₅C₂² = Q₈.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇xQ₈	112	4+	(C7xQ8).5C2^2	224,114
(C₇xQ₈).₆C₂² = C₂₈.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).6C2^2	224,137
(C₇xQ₈).₇C₂² = C₂xC₇:Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).7C2^2	224,138
(C₇xQ₈).₈C₂² = D₄.₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).8C2^2	224,145
(C₇xQ₈).₉C₂² = D₄.₉D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112	4-	(C7xQ8).9C2^2	224,146
(C₇xQ₈).₁₀C₂² = Q₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).10C2^2	224,183
(C₇xQ₈).₁₁C₂² = D₄.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112	4-	(C7xQ8).11C2^2	224,186
(C₇xQ₈).₁₂C₂² = C₁₄xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).12C2^2	224,169
(C₇xQ₈).₁₃C₂² = C₇xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112	2	(C7xQ8).13C2^2	224,170
(C₇xQ₈).₁₄C₂² = C₇xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).14C2^2	224,172
(C₇xQ₈).₁₅C₂² = C₇x2_-¹⁺⁴	φ: trivial image	112	4	(C7xQ8).15C2^2	224,194

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