Extensions 1→N→G→Q→1 with N=C₆ and Q=D₁₄

Direct product G=NxQ with N=C₆ and Q=D₁₄

		d	ρ	Label	ID
C₂xC₆xD₇		84		C2xC6xD7	168,54

Semidirect products G=N:Q with N=C₆ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁D₁₄ = C₂xS₃xD₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	42	4+	C6:1D14	168,50
C₆:₂D₁₄ = C₂²xD₂₁	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₆	84		C6:2D14	168,56

Non-split extensions G=N.Q with N=C₆ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₁₄ = Dic₃xD₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	84	4-	C6.1D14	168,12
C₆.₂D₁₄ = S₃xDic₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	84	4-	C6.2D14	168,13
C₆.₃D₁₄ = D₂₁:C₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	84	4+	C6.3D14	168,14
C₆.₄D₁₄ = C₂₁:D₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	84	4-	C6.4D14	168,15
C₆.₅D₁₄ = C₃:D₂₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	84	4+	C6.5D14	168,16
C₆.₆D₁₄ = C₇:D₁₂	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	84	4+	C6.6D14	168,17
C₆.₇D₁₄ = C₂₁:Q₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₆	168	4-	C6.7D14	168,18
C₆.₈D₁₄ = Dic₄₂	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₆	168	2-	C6.8D14	168,34
C₆.₉D₁₄ = C₄xD₂₁	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₆	84	2	C6.9D14	168,35
C₆.₁₀D₁₄ = D₈₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₆	84	2+	C6.10D14	168,36
C₆.₁₁D₁₄ = C₂xDic₂₁	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₆	168		C6.11D14	168,37
C₆.₁₂D₁₄ = C₂₁:₇D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₆	84	2	C6.12D14	168,38
C₆.₁₃D₁₄ = C₃xDic₁₄	central extension (φ=1)	168	2	C6.13D14	168,24
C₆.₁₄D₁₄ = C₁₂xD₇	central extension (φ=1)	84	2	C6.14D14	168,25
C₆.₁₅D₁₄ = C₃xD₂₈	central extension (φ=1)	84	2	C6.15D14	168,26
C₆.₁₆D₁₄ = C₆xDic₇	central extension (φ=1)	168		C6.16D14	168,27
C₆.₁₇D₁₄ = C₃xC₇:D₄	central extension (φ=1)	84	2	C6.17D14	168,28

׿

x

:

Z

F

o

wr

Q

<