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

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

		d	ρ	Label	ID
D₇×C₂²×C₄		112		D7xC2^2xC4	224,175

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁C₂² = D₄⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	56	4	(C4xD7):1C2^2	224,180
(C₄×D₇)⋊₂C₂² = D₄⋊₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	56	4+	(C4xD7):2C2^2	224,185
(C₄×D₇)⋊₃C₂² = C₂×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	56		(C4xD7):3C2^2	224,178
(C₄×D₇)⋊₄C₂² = C₂×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7):4C2^2	224,179
(C₄×D₇)⋊₅C₂² = C₂×Q₈⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7):5C2^2	224,182
(C₄×D₇)⋊₆C₂² = C₂×C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7):6C2^2	224,177
(C₄×D₇)⋊₇C₂² = D₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	56	4	(C4xD7):7C2^2	224,184

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁C₂² = D₈⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	56	4	(C4xD7).1C2^2	224,106
(C₄×D₇).₂C₂² = D₅₆⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	56	4+	(C4xD7).2C2^2	224,109
(C₄×D₇).₃C₂² = SD₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	112	4-	(C4xD7).3C2^2	224,110
(C₄×D₇).₄C₂² = Q₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).4C2^2	224,113
(C₄×D₇).₅C₂² = Q₈.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).5C2^2	224,183
(C₄×D₇).₆C₂² = D₄.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₇	112	4-	(C4xD7).6C2^2	224,186
(C₄×D₇).₇C₂² = D₇×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	56	4+	(C4xD7).7C2^2	224,105
(C₄×D₇).₈C₂² = D₈⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112	4-	(C4xD7).8C2^2	224,107
(C₄×D₇).₉C₂² = D₇×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	56	4	(C4xD7).9C2^2	224,108
(C₄×D₇).₁₀C₂² = SD₁₆⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).10C2^2	224,111
(C₄×D₇).₁₁C₂² = D₇×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112	4-	(C4xD7).11C2^2	224,112
(C₄×D₇).₁₂C₂² = Q₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112	4+	(C4xD7).12C2^2	224,114
(C₄×D₇).₁₃C₂² = C₂×Q₈×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7).13C2^2	224,181
(C₄×D₇).₁₄C₂² = C₂×C₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7).14C2^2	224,95
(C₄×D₇).₁₅C₂² = D₂₈.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112	2	(C4xD7).15C2^2	224,96
(C₄×D₇).₁₆C₂² = D₂₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).16C2^2	224,102
(C₄×D₇).₁₇C₂² = D₇×C₂×C₈	φ: trivial image	112		(C4xD7).17C2^2	224,94
(C₄×D₇).₁₈C₂² = D₇×M₄(2)	φ: trivial image	56	4	(C4xD7).18C2^2	224,101

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