Extensions 1→N→G→Q→1 with N=C₆³ and Q=C₂

Direct product G=N×Q with N=C₆³ and Q=C₂

		d	ρ	Label	ID
C₂×C₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₆³ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆³⋊₁C₂ = D₄×C₃²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	216		C6^3:1C2	432,731
C₆³⋊₂C₂ = C₃×C₆×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	72		C6^3:2C2	432,709
C₆³⋊₃C₂ = C₆×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	72		C6^3:3C2	432,719
C₆³⋊₄C₂ = C₂×C₃³⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	216		C6^3:4C2	432,729
C₆³⋊₅C₂ = S₃×C₂×C₆²	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	144		C6^3:5C2	432,772
C₆³⋊₆C₂ = C₃⋊S₃×C₂²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	144		C6^3:6C2	432,773
C₆³⋊₇C₂ = C₂³×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	216		C6^3:7C2	432,774

Non-split extensions G=N.Q with N=C₆³ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆³.₁C₂ = C₂²⋊C₄×C₃³	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	216		C6^3.1C2	432,513
C₆³.₂C₂ = C₃²×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	72		C6^3.2C2	432,479
C₆³.₃C₂ = C₃×C₆²⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	72		C6^3.3C2	432,495
C₆³.₄C₂ = C₆³.C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	216		C6^3.4C2	432,511
C₆³.₅C₂ = Dic₃×C₆²	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	144		C6^3.5C2	432,708
C₆³.₆C₂ = C₂×C₆×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	144		C6^3.6C2	432,718
C₆³.₇C₂ = C₂²×C₃³⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆³	432		C6^3.7C2	432,728

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