Extensions 1→N→G→Q→1 with N=C₄×C₇⋊C₃ and Q=C₂²

Direct product G=N×Q with N=C₄×C₇⋊C₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄×C₇⋊C₃		112		C2^2xC4xC7:C3	336,164

Semidirect products G=N:Q with N=C₄×C₇⋊C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₇⋊C₃)⋊C₂² = D₄×F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	28	12+	(C4xC7:C3):C2^2	336,125
(C₄×C₇⋊C₃)⋊₂C₂² = C₂×C₄⋊F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56		(C4xC7:C3):2C2^2	336,123
(C₄×C₇⋊C₃)⋊₃C₂² = C₂×C₄×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56		(C4xC7:C3):3C2^2	336,122
(C₄×C₇⋊C₃)⋊₄C₂² = C₂×D₄×C₇⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56		(C4xC7:C3):4C2^2	336,165

Non-split extensions G=N.Q with N=C₄×C₇⋊C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₇⋊C₃).₁C₂² = D₄⋊F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	56	12+	(C4xC7:C3).1C2^2	336,18
(C₄×C₇⋊C₃).₂C₂² = D₄.F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	56	12-	(C4xC7:C3).2C2^2	336,19
(C₄×C₇⋊C₃).₃C₂² = Q₈⋊₂F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	56	12+	(C4xC7:C3).3C2^2	336,20
(C₄×C₇⋊C₃).₄C₂² = Q₈.₂F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	112	12-	(C4xC7:C3).4C2^2	336,21
(C₄×C₇⋊C₃).₅C₂² = D₄⋊₂F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	56	12-	(C4xC7:C3).5C2^2	336,126
(C₄×C₇⋊C₃).₆C₂² = Q₈×F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	56	12-	(C4xC7:C3).6C2^2	336,127
(C₄×C₇⋊C₃).₇C₂² = Q₈⋊₃F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₄×C₇⋊C₃	56	12+	(C4xC7:C3).7C2^2	336,128
(C₄×C₇⋊C₃).₈C₂² = C₅₆⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).8C2^2	336,9
(C₄×C₇⋊C₃).₉C₂² = D₅₆⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6+	(C4xC7:C3).9C2^2	336,10
(C₄×C₇⋊C₃).₁₀C₂² = C₈.F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112	6-	(C4xC7:C3).10C2^2	336,11
(C₄×C₇⋊C₃).₁₁C₂² = C₂×C₄.F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112		(C4xC7:C3).11C2^2	336,121
(C₄×C₇⋊C₃).₁₂C₂² = D₂₈⋊₆C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).12C2^2	336,124
(C₄×C₇⋊C₃).₁₃C₂² = C₈×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).13C2^2	336,7
(C₄×C₇⋊C₃).₁₄C₂² = C₈⋊F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).14C2^2	336,8
(C₄×C₇⋊C₃).₁₅C₂² = C₂×C₇⋊C₂₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112		(C4xC7:C3).15C2^2	336,12
(C₄×C₇⋊C₃).₁₆C₂² = C₂₈.C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).16C2^2	336,13
(C₄×C₇⋊C₃).₁₇C₂² = D₈×C₇⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).17C2^2	336,53
(C₄×C₇⋊C₃).₁₈C₂² = SD₁₆×C₇⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).18C2^2	336,54
(C₄×C₇⋊C₃).₁₉C₂² = Q₁₆×C₇⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112	6	(C4xC7:C3).19C2^2	336,55
(C₄×C₇⋊C₃).₂₀C₂² = C₂×Q₈×C₇⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	112		(C4xC7:C3).20C2^2	336,166
(C₄×C₇⋊C₃).₂₁C₂² = C₄○D₄×C₇⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).21C2^2	336,167
(C₄×C₇⋊C₃).₂₂C₂² = C₂×C₈×C₇⋊C₃	φ: trivial image	112		(C4xC7:C3).22C2^2	336,51
(C₄×C₇⋊C₃).₂₃C₂² = M₄(2)×C₇⋊C₃	φ: trivial image	56	6	(C4xC7:C3).23C2^2	336,52

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Extensions 1→N→G→Q→1 with N=C4×C7⋊C3 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄×C₇⋊C₃ and Q=C₂²