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

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

		d	ρ	Label	ID
C₆×C₇₈		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 = C₂×D₃₉⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	78	6+	C78:1C6	468,35
C₇₈⋊₂C₆ = C₆×C₁₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	78	6	C78:2C6	468,33
C₇₈⋊₃C₆ = C₂×S₃×C₁₃⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	78	6	C78:3C6	468,34
C₇₈⋊₄C₆ = C₂×C₆×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	156		C78:4C6	468,47
C₇₈⋊₅C₆ = C₆×D₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	156	2	C78:5C6	468,52
C₇₈⋊₆C₆ = C₃×C₆×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	234		C78:6C6	468,50
C₇₈⋊₇C₆ = S₃×C₇₈	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 = C₂×C₁₃⋊C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	234	6	C78.3C6	468,8
C₇₈.₄C₆ = C₃×C₂₆.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	156	6	C78.4C6	468,19
C₇₈.₅C₆ = Dic₃×C₁₃⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₇₈	156	6	C78.5C6	468,20
C₇₈.₆C₆ = C₄×C₁₃⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	468	3	C78.6C6	468,2
C₇₈.₇C₆ = C₂²×C₁₃⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	468		C78.7C6	468,12
C₇₈.₈C₆ = C₁₂×C₁₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₈	156	3	C78.8C6	468,22
C₇₈.₉C₆ = C₃×Dic₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	156	2	C78.9C6	468,25
C₇₈.₁₀C₆ = C₉×Dic₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	468	2	C78.10C6	468,4
C₇₈.₁₁C₆ = C₁₈×D₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	234	2	C78.11C6	468,15
C₇₈.₁₂C₆ = C₃²×Dic₁₃	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	468		C78.12C6	468,23
C₇₈.₁₃C₆ = Dic₃×C₃₉	φ: C₆/C₃ → C₂ ⊆ Aut C₇₈	156	2	C78.13C6	468,24

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