Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊C₁₂

Direct product G=N×Q with N=C₃ and Q=C₃²⋊C₁₂

		d	ρ	Label	ID
C₃×C₃²⋊C₁₂		36	6	C3xC3^2:C12	324,92

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²⋊C₁₂) = C₃³⋊₄C₁₂	φ: C₃²⋊C₁₂/C₂×He₃ → C₂ ⊆ Aut C₃	108		C3:(C3^2:C12)	324,98

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊C₁₂) = C₃²⋊Dic₉	φ: C₃²⋊C₁₂/C₂×He₃ → C₂ ⊆ Aut C₃	108		C3.1(C3^2:C12)	324,8
C₃.₂(C₃²⋊C₁₂) = C₃³⋊C₁₂	φ: C₃²⋊C₁₂/C₂×He₃ → C₂ ⊆ Aut C₃	36	6-	C3.2(C3^2:C12)	324,14
C₃.₃(C₃²⋊C₁₂) = He₃.Dic₃	φ: C₃²⋊C₁₂/C₂×He₃ → C₂ ⊆ Aut C₃	108	6-	C3.3(C3^2:C12)	324,16
C₃.₄(C₃²⋊C₁₂) = He₃.₂Dic₃	φ: C₃²⋊C₁₂/C₂×He₃ → C₂ ⊆ Aut C₃	108	6-	C3.4(C3^2:C12)	324,18
C₃.₅(C₃²⋊C₁₂) = C₃²⋊C₃₆	central extension (φ=1)	36	6	C3.5(C3^2:C12)	324,7
C₃.₆(C₃²⋊C₁₂) = He₃⋊C₁₂	central stem extension (φ=1)	36	3	C3.6(C3^2:C12)	324,13
C₃.₇(C₃²⋊C₁₂) = He₃.C₁₂	central stem extension (φ=1)	108	3	C3.7(C3^2:C12)	324,15
C₃.₈(C₃²⋊C₁₂) = He₃.₂C₁₂	central stem extension (φ=1)	108	3	C3.8(C3^2:C12)	324,17

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