Extensions 1→N→G→Q→1 with N=C₇×C₁₄ and Q=C₂²

Direct product G=N×Q with N=C₇×C₁₄ and Q=C₂²

		d	ρ	Label	ID
C₂×C₁₄²		392		C2xC14^2	392,44

Semidirect products G=N:Q with N=C₇×C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₁₄)⋊C₂² = C₂×D₇²	φ: C₂²/C₁ → C₂² ⊆ Aut C₇×C₁₄	28	4+	(C7xC14):C2^2	392,41
(C₇×C₁₄)⋊₂C₂² = D₇×C₂×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	56		(C7xC14):2C2^2	392,42
(C₇×C₁₄)⋊₃C₂² = C₂²×C₇⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	196		(C7xC14):3C2^2	392,43

Non-split extensions G=N.Q with N=C₇×C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₁₄).₁C₂² = D₇×Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₇×C₁₄	56	4-	(C7xC14).1C2^2	392,18
(C₇×C₁₄).₂C₂² = Dic₇⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₇×C₁₄	28	4+	(C7xC14).2C2^2	392,19
(C₇×C₁₄).₃C₂² = C₇²⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₇×C₁₄	56	4-	(C7xC14).3C2^2	392,20
(C₇×C₁₄).₄C₂² = C₇⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₇×C₁₄	28	4+	(C7xC14).4C2^2	392,21
(C₇×C₁₄).₅C₂² = C₇²⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₇×C₁₄	56	4-	(C7xC14).5C2^2	392,22
(C₇×C₁₄).₆C₂² = C₇×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	56	2	(C7xC14).6C2^2	392,23
(C₇×C₁₄).₇C₂² = D₇×C₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	56	2	(C7xC14).7C2^2	392,24
(C₇×C₁₄).₈C₂² = C₇×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	56	2	(C7xC14).8C2^2	392,25
(C₇×C₁₄).₉C₂² = C₁₄×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	56		(C7xC14).9C2^2	392,26
(C₇×C₁₄).₁₀C₂² = C₇×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	28	2	(C7xC14).10C2^2	392,27
(C₇×C₁₄).₁₁C₂² = C₇²⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	392		(C7xC14).11C2^2	392,28
(C₇×C₁₄).₁₂C₂² = C₄×C₇⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	196		(C7xC14).12C2^2	392,29
(C₇×C₁₄).₁₃C₂² = C₂₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	196		(C7xC14).13C2^2	392,30
(C₇×C₁₄).₁₄C₂² = C₂×C₇⋊Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	392		(C7xC14).14C2^2	392,31
(C₇×C₁₄).₁₅C₂² = C₇²⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₇×C₁₄	196		(C7xC14).15C2^2	392,32
(C₇×C₁₄).₁₆C₂² = D₄×C₇²	central extension (φ=1)	196		(C7xC14).16C2^2	392,34
(C₇×C₁₄).₁₇C₂² = Q₈×C₇²	central extension (φ=1)	392		(C7xC14).17C2^2	392,35

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