Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×He₃

Direct product G=N×Q with N=C₆ and Q=C₃×He₃

		d	ρ	Label	ID
C₃×C₆×He₃		162		C3xC6xHe3	486,251

Non-split extensions G=N.Q with N=C₆ and Q=C₃×He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃×He₃) = C₆×C₃²⋊C₉	central extension (φ=1)	162		C6.1(C3xHe3)	486,191
C₆.₂(C₃×He₃) = C₁₈×He₃	central extension (φ=1)	162		C6.2(C3xHe3)	486,194
C₆.₃(C₃×He₃) = C₂×C₃²⋊He₃	central extension (φ=1)	54		C6.3(C3xHe3)	486,196
C₆.₄(C₃×He₃) = C₂×C₃⁴.C₃	central extension (φ=1)	54		C6.4(C3xHe3)	486,197
C₆.₅(C₃×He₃) = C₂×C₉⋊He₃	central extension (φ=1)	162		C6.5(C3xHe3)	486,198
C₆.₆(C₃×He₃) = C₂×C₃².₂₃C₃³	central extension (φ=1)	162		C6.6(C3xHe3)	486,199
C₆.₇(C₃×He₃) = C₆×C₃≀C₃	central extension (φ=1)	54		C6.7(C3xHe3)	486,210
C₆.₈(C₃×He₃) = C₆×He₃.C₃	central extension (φ=1)	162		C6.8(C3xHe3)	486,211
C₆.₉(C₃×He₃) = C₆×He₃⋊C₃	central extension (φ=1)	162		C6.9(C3xHe3)	486,212
C₆.₁₀(C₃×He₃) = C₆×C₃.He₃	central extension (φ=1)	162		C6.10(C3xHe3)	486,213
C₆.₁₁(C₃×He₃) = C₂×C₉.He₃	central extension (φ=1)	54	3	C6.11(C3xHe3)	486,214
C₆.₁₂(C₃×He₃) = C₂×C₃³⋊C₃²	central extension (φ=1)	54	9	C6.12(C3xHe3)	486,215
C₆.₁₃(C₃×He₃) = C₂×He₃.C₃²	central extension (φ=1)	54	9	C6.13(C3xHe3)	486,216
C₆.₁₄(C₃×He₃) = C₂×He₃⋊C₃²	central extension (φ=1)	54	9	C6.14(C3xHe3)	486,217
C₆.₁₅(C₃×He₃) = C₂×C₃².C₃³	central extension (φ=1)	54	9	C6.15(C3xHe3)	486,218
C₆.₁₆(C₃×He₃) = C₂×C₉.₂He₃	central extension (φ=1)	54	9	C6.16(C3xHe3)	486,219

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