Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×He₃

Direct product G=N×Q with N=C₃ and Q=C₄×He₃

		d	ρ	Label	ID
C₁₂×He₃		108		C12xHe3	324,106

Semidirect products G=N:Q with N=C₃ and Q=C₄×He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₄×He₃) = Dic₃×He₃	φ: C₄×He₃/C₂×He₃ → C₂ ⊆ Aut C₃	36	6	C3:(C4xHe3)	324,93

Non-split extensions G=N.Q with N=C₃ and Q=C₄×He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₄×He₃) = C₄×C₃²⋊C₉	central extension (φ=1)	108		C3.1(C4xHe3)	324,27
C₃.₂(C₄×He₃) = C₄×C₃≀C₃	central stem extension (φ=1)	36	3	C3.2(C4xHe3)	324,31
C₃.₃(C₄×He₃) = C₄×He₃.C₃	central stem extension (φ=1)	108	3	C3.3(C4xHe3)	324,32
C₃.₄(C₄×He₃) = C₄×He₃⋊C₃	central stem extension (φ=1)	108	3	C3.4(C4xHe3)	324,33
C₃.₅(C₄×He₃) = C₄×C₃.He₃	central stem extension (φ=1)	108	3	C3.5(C4xHe3)	324,34

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