Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂xC₄

Direct product G=NxQ with N=C₁₄ and Q=C₂xC₄

		d	ρ	Label	ID
C₂²xC₂₈		112		C2^2xC28	112,37

Semidirect products G=N:Q with N=C₁₄ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄:₁(C₂xC₄) = C₂xC₄xD₇	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₁₄	56		C14:1(C2xC4)	112,28
C₁₄:₂(C₂xC₄) = C₂²xDic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₁₄	112		C14:2(C2xC4)	112,35

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₂xC₄) = C₈xD₇	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₁₄	56	2	C14.1(C2xC4)	112,3
C₁₄.₂(C₂xC₄) = C₈:D₇	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₁₄	56	2	C14.2(C2xC4)	112,4
C₁₄.₃(C₂xC₄) = C₄xDic₇	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₁₄	112		C14.3(C2xC4)	112,10
C₁₄.₄(C₂xC₄) = Dic₇:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₁₄	112		C14.4(C2xC4)	112,11
C₁₄.₅(C₂xC₄) = D₁₄:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₁₄	56		C14.5(C2xC4)	112,13
C₁₄.₆(C₂xC₄) = C₂xC₇:C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₁₄	112		C14.6(C2xC4)	112,8
C₁₄.₇(C₂xC₄) = C₄.Dic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₁₄	56	2	C14.7(C2xC4)	112,9
C₁₄.₈(C₂xC₄) = C₄:Dic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₁₄	112		C14.8(C2xC4)	112,12
C₁₄.₉(C₂xC₄) = C₂³.D₇	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₁₄	56		C14.9(C2xC4)	112,18
C₁₄.₁₀(C₂xC₄) = C₇xC₂²:C₄	central extension (φ=1)	56		C14.10(C2xC4)	112,20
C₁₄.₁₁(C₂xC₄) = C₇xC₄:C₄	central extension (φ=1)	112		C14.11(C2xC4)	112,21
C₁₄.₁₂(C₂xC₄) = C₇xM₄(2)	central extension (φ=1)	56	2	C14.12(C2xC4)	112,23

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