Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₃xD₄

Direct product G=NxQ with N=C₁₄ and Q=C₃xD₄

		d	ρ	Label	ID
D₄xC₄₂		168		D4xC42	336,205

Semidirect products G=N:Q with N=C₁₄ and Q=C₃xD₄

extension	φ:Q→Aut N	d	Label	ID
C₁₄:₁(C₃xD₄) = C₂xC₄:F₇	φ: C₃xD₄/C₄ → C₆ ⊆ Aut C₁₄	56	C14:1(C3xD4)	336,123
C₁₄:₂(C₃xD₄) = C₂xDic₇:C₆	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	56	C14:2(C3xD4)	336,130
C₁₄:₃(C₃xD₄) = C₂xD₄xC₇:C₃	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₁₄	56	C14:3(C3xD4)	336,165
C₁₄:₄(C₃xD₄) = C₆xD₂₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₄	168	C14:4(C3xD4)	336,176
C₁₄:₅(C₃xD₄) = C₆xC₇:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	168	C14:5(C3xD4)	336,183

Non-split extensions G=N.Q with N=C₁₄ and Q=C₃xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₃xD₄) = C₅₆:C₆	φ: C₃xD₄/C₄ → C₆ ⊆ Aut C₁₄	56	6	C14.1(C3xD4)	336,9
C₁₄.₂(C₃xD₄) = D₅₆:C₃	φ: C₃xD₄/C₄ → C₆ ⊆ Aut C₁₄	56	6+	C14.2(C3xD4)	336,10
C₁₄.₃(C₃xD₄) = C₈.F₇	φ: C₃xD₄/C₄ → C₆ ⊆ Aut C₁₄	112	6-	C14.3(C3xD4)	336,11
C₁₄.₄(C₃xD₄) = C₂₈:C₁₂	φ: C₃xD₄/C₄ → C₆ ⊆ Aut C₁₄	112		C14.4(C3xD4)	336,16
C₁₄.₅(C₃xD₄) = Dic₇:C₁₂	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	112		C14.5(C3xD4)	336,15
C₁₄.₆(C₃xD₄) = D₁₄:C₁₂	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	56		C14.6(C3xD4)	336,17
C₁₄.₇(C₃xD₄) = D₄:F₇	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	56	12+	C14.7(C3xD4)	336,18
C₁₄.₈(C₃xD₄) = D₄.F₇	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	56	12-	C14.8(C3xD4)	336,19
C₁₄.₉(C₃xD₄) = Q₈:₂F₇	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	56	12+	C14.9(C3xD4)	336,20
C₁₄.₁₀(C₃xD₄) = Q₈.₂F₇	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	112	12-	C14.10(C3xD4)	336,21
C₁₄.₁₁(C₃xD₄) = C₂³.₂F₇	φ: C₃xD₄/C₂² → C₆ ⊆ Aut C₁₄	56		C14.11(C3xD4)	336,22
C₁₄.₁₂(C₃xD₄) = C₂²:C₄xC₇:C₃	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₁₄	56		C14.12(C3xD4)	336,49
C₁₄.₁₃(C₃xD₄) = C₄:C₄xC₇:C₃	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₁₄	112		C14.13(C3xD4)	336,50
C₁₄.₁₄(C₃xD₄) = D₈xC₇:C₃	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₁₄	56	6	C14.14(C3xD4)	336,53
C₁₄.₁₅(C₃xD₄) = SD₁₆xC₇:C₃	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₁₄	56	6	C14.15(C3xD4)	336,54
C₁₄.₁₆(C₃xD₄) = Q₁₆xC₇:C₃	φ: C₃xD₄/D₄ → C₃ ⊆ Aut C₁₄	112	6	C14.16(C3xD4)	336,55
C₁₄.₁₇(C₃xD₄) = C₃xC₅₆:C₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₄	168	2	C14.17(C3xD4)	336,60
C₁₄.₁₈(C₃xD₄) = C₃xD₅₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₄	168	2	C14.18(C3xD4)	336,61
C₁₄.₁₉(C₃xD₄) = C₃xDic₂₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₄	336	2	C14.19(C3xD4)	336,62
C₁₄.₂₀(C₃xD₄) = C₃xC₄:Dic₇	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₄	336		C14.20(C3xD4)	336,67
C₁₄.₂₁(C₃xD₄) = C₃xDic₇:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	336		C14.21(C3xD4)	336,66
C₁₄.₂₂(C₃xD₄) = C₃xD₁₄:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	168		C14.22(C3xD4)	336,68
C₁₄.₂₃(C₃xD₄) = C₃xD₄:D₇	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	168	4	C14.23(C3xD4)	336,69
C₁₄.₂₄(C₃xD₄) = C₃xD₄.D₇	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	168	4	C14.24(C3xD4)	336,70
C₁₄.₂₅(C₃xD₄) = C₃xQ₈:D₇	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	168	4	C14.25(C3xD4)	336,71
C₁₄.₂₆(C₃xD₄) = C₃xC₇:Q₁₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	336	4	C14.26(C3xD4)	336,72
C₁₄.₂₇(C₃xD₄) = C₃xC₂³.D₇	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₄	168		C14.27(C3xD4)	336,73
C₁₄.₂₈(C₃xD₄) = C₂²:C₄xC₂₁	central extension (φ=1)	168		C14.28(C3xD4)	336,107
C₁₄.₂₉(C₃xD₄) = C₄:C₄xC₂₁	central extension (φ=1)	336		C14.29(C3xD4)	336,108
C₁₄.₃₀(C₃xD₄) = D₈xC₂₁	central extension (φ=1)	168	2	C14.30(C3xD4)	336,111
C₁₄.₃₁(C₃xD₄) = SD₁₆xC₂₁	central extension (φ=1)	168	2	C14.31(C3xD4)	336,112
C₁₄.₃₂(C₃xD₄) = Q₁₆xC₂₁	central extension (φ=1)	336	2	C14.32(C3xD4)	336,113

Extensions 1→N→G→Q→1 with N=C14 and Q=C3xD4

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₃xD₄