Extensions 1→N→G→Q→1 with N=C₂×C₇⋊C₃ and Q=C₂²

Direct product G=N×Q with N=C₂×C₇⋊C₃ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₇⋊C₃		56		C2^3xC7:C3	168,51

Semidirect products G=N:Q with N=C₂×C₇⋊C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃)⋊C₂² = C₂²×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₇⋊C₃	28		(C2xC7:C3):C2^2	168,47

Non-split extensions G=N.Q with N=C₂×C₇⋊C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃).₁C₂² = C₄.F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₇⋊C₃	56	6-	(C2xC7:C3).1C2^2	168,7
(C₂×C₇⋊C₃).₂C₂² = C₄×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₇⋊C₃	28	6	(C2xC7:C3).2C2^2	168,8
(C₂×C₇⋊C₃).₃C₂² = C₄⋊F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₇⋊C₃	28	6+	(C2xC7:C3).3C2^2	168,9
(C₂×C₇⋊C₃).₄C₂² = C₂×C₇⋊C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₇⋊C₃	56		(C2xC7:C3).4C2^2	168,10
(C₂×C₇⋊C₃).₅C₂² = Dic₇⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₇⋊C₃	28	6	(C2xC7:C3).5C2^2	168,11
(C₂×C₇⋊C₃).₆C₂² = C₂×C₄×C₇⋊C₃	φ: trivial image	56		(C2xC7:C3).6C2^2	168,19
(C₂×C₇⋊C₃).₇C₂² = D₄×C₇⋊C₃	φ: trivial image	28	6	(C2xC7:C3).7C2^2	168,20
(C₂×C₇⋊C₃).₈C₂² = Q₈×C₇⋊C₃	φ: trivial image	56	6	(C2xC7:C3).8C2^2	168,21

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