Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×He₃⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₂×He₃⋊C₃

		d	ρ	Label	ID
C₆×He₃⋊C₃		162		C6xHe3:C3	486,212

Semidirect products G=N:Q with N=C₃ and Q=C₂×He₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×He₃⋊C₃) = S₃×He₃⋊C₃	φ: C₂×He₃⋊C₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xHe3:C3)	486,123

Non-split extensions G=N.Q with N=C₃ and Q=C₂×He₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×He₃⋊C₃) = C₂×C₃².₂₀He₃	central extension (φ=1)	162		C3.1(C2xHe3:C3)	486,75
C₃.₂(C₂×He₃⋊C₃) = C₂×He₃⋊C₉	central extension (φ=1)	162		C3.2(C2xHe3:C3)	486,77
C₃.₃(C₂×He₃⋊C₃) = C₂×C₃².₂₄He₃	central stem extension (φ=1)	162		C3.3(C2xHe3:C3)	486,63
C₃.₄(C₂×He₃⋊C₃) = C₂×C₃².₂₇He₃	central stem extension (φ=1)	162		C3.4(C2xHe3:C3)	486,66
C₃.₅(C₂×He₃⋊C₃) = C₂×C₃².₂₉He₃	central stem extension (φ=1)	162		C3.5(C2xHe3:C3)	486,68
C₃.₆(C₂×He₃⋊C₃) = C₂×C₉²⋊C₃	central stem extension (φ=1)	54	3	C3.6(C2xHe3:C3)	486,85
C₃.₇(C₂×He₃⋊C₃) = C₂×C₉²⋊₂C₃	central stem extension (φ=1)	54	3	C3.7(C2xHe3:C3)	486,86
C₃.₈(C₂×He₃⋊C₃) = C₂×C₉².C₃	central stem extension (φ=1)	54	3	C3.8(C2xHe3:C3)	486,87
C₃.₉(C₂×He₃⋊C₃) = C₂×C₃².He₃	central stem extension (φ=1)	54	9	C3.9(C2xHe3:C3)	486,88
C₃.₁₀(C₂×He₃⋊C₃) = C₂×C₃².₅He₃	central stem extension (φ=1)	54	9	C3.10(C2xHe3:C3)	486,89
C₃.₁₁(C₂×He₃⋊C₃) = C₂×C₃².₆He₃	central stem extension (φ=1)	54	9	C3.11(C2xHe3:C3)	486,90

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