Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=C₂²

Direct product G=N×Q with N=C₂×C₁₄ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₁₄		112		C2^3xC14	112,43

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄)⋊C₂² = D₄×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₁₄	28	4+	(C2xC14):C2^2	112,31
(C₂×C₁₄)⋊₂C₂² = D₄×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56		(C2xC14):2C2^2	112,38
(C₂×C₁₄)⋊₃C₂² = C₂×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56		(C2xC14):3C2^2	112,36
(C₂×C₁₄)⋊₄C₂² = C₂³×D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56		(C2xC14):4C2^2	112,42

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).C₂² = D₄⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₁₄	56	4-	(C2xC14).C2^2	112,32
(C₂×C₁₄).₂C₂² = C₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56	2	(C2xC14).2C2^2	112,40
(C₂×C₁₄).₃C₂² = C₄×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).3C2^2	112,10
(C₂×C₁₄).₄C₂² = Dic₇⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).4C2^2	112,11
(C₂×C₁₄).₅C₂² = C₄⋊Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).5C2^2	112,12
(C₂×C₁₄).₆C₂² = D₁₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56		(C2xC14).6C2^2	112,13
(C₂×C₁₄).₇C₂² = C₂³.D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56		(C2xC14).7C2^2	112,18
(C₂×C₁₄).₈C₂² = C₂×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).8C2^2	112,27
(C₂×C₁₄).₉C₂² = C₂×C₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56		(C2xC14).9C2^2	112,28
(C₂×C₁₄).₁₀C₂² = C₂×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56		(C2xC14).10C2^2	112,29
(C₂×C₁₄).₁₁C₂² = C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	56	2	(C2xC14).11C2^2	112,30
(C₂×C₁₄).₁₂C₂² = C₂²×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).12C2^2	112,35
(C₂×C₁₄).₁₃C₂² = C₇×C₂²⋊C₄	central extension (φ=1)	56		(C2xC14).13C2^2	112,20
(C₂×C₁₄).₁₄C₂² = C₇×C₄⋊C₄	central extension (φ=1)	112		(C2xC14).14C2^2	112,21
(C₂×C₁₄).₁₅C₂² = Q₈×C₁₄	central extension (φ=1)	112		(C2xC14).15C2^2	112,39

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