Extensions 1→N→G→Q→1 with N=C₇₈ and Q=C₆

Direct product G=NxQ with N=C₇₈ and Q=C₆

		d	ρ	Label	ID
C₆xC₇₈		468		C6xC78	468,55

Semidirect products G=N:Q with N=C₇₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₈:₁C₆ = C₂xD₃₉:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	78	6+	C78:1C6	468,35
C₇₈:₂C₆ = C₆xC₁₃:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	78	6	C78:2C6	468,33
C₇₈:₃C₆ = C₂xS₃xC₁₃:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	78	6	C78:3C6	468,34
C₇₈:₄C₆ = C₂xC₆xC₁₃:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	156		C78:4C6	468,47
C₇₈:₅C₆ = C₆xD₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	156	2	C78:5C6	468,52
C₇₈:₆C₆ = C₃xC₆xD₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	234		C78:6C6	468,50
C₇₈:₇C₆ = S₃xC₇₈	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	156	2	C78:7C6	468,51

Non-split extensions G=N.Q with N=C₇₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₈.₁C₆ = C₃₉:₃C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	156	6-	C78.1C6	468,21
C₇₈.₂C₆ = C₁₃:₂C₃₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	468	6	C78.2C6	468,1
C₇₈.₃C₆ = C₂xC₁₃:C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	234	6	C78.3C6	468,8
C₇₈.₄C₆ = C₃xC₂₆.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	156	6	C78.4C6	468,19
C₇₈.₅C₆ = Dic₃xC₁₃:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	156	6	C78.5C6	468,20
C₇₈.₆C₆ = C₄xC₁₃:C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	468	3	C78.6C6	468,2
C₇₈.₇C₆ = C₂²xC₁₃:C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	468		C78.7C6	468,12
C₇₈.₈C₆ = C₁₂xC₁₃:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	156	3	C78.8C6	468,22
C₇₈.₉C₆ = C₃xDic₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	156	2	C78.9C6	468,25
C₇₈.₁₀C₆ = C₉xDic₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	468	2	C78.10C6	468,4
C₇₈.₁₁C₆ = C₁₈xD₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	234	2	C78.11C6	468,15
C₇₈.₁₂C₆ = C₃²xDic₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	468		C78.12C6	468,23
C₇₈.₁₃C₆ = Dic₃xC₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	156	2	C78.13C6	468,24

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