Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×S₃²

Direct product G=N×Q with N=C₂ and Q=C₂×S₃²

		d	ρ	Label	ID
C₂²×S₃²		24		C2^2xS3^2	144,192

Non-split extensions G=N.Q with N=C₂ and Q=C₂×S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×S₃²) = C₄×S₃²	central extension (φ=1)	24	4	C2.1(C2xS3^2)	144,143
C₂.₂(C₂×S₃²) = C₂×S₃×Dic₃	central extension (φ=1)	48		C2.2(C2xS3^2)	144,146
C₂.₃(C₂×S₃²) = C₂×C₆.D₆	central extension (φ=1)	24		C2.3(C2xS3^2)	144,149
C₂.₄(C₂×S₃²) = S₃×Dic₆	central stem extension (φ=1)	48	4-	C2.4(C2xS3^2)	144,137
C₂.₅(C₂×S₃²) = D₁₂⋊₅S₃	central stem extension (φ=1)	48	4-	C2.5(C2xS3^2)	144,138
C₂.₆(C₂×S₃²) = D₁₂⋊S₃	central stem extension (φ=1)	24	4	C2.6(C2xS3^2)	144,139
C₂.₇(C₂×S₃²) = Dic₃.D₆	central stem extension (φ=1)	24	4	C2.7(C2xS3^2)	144,140
C₂.₈(C₂×S₃²) = D₆.D₆	central stem extension (φ=1)	24	4	C2.8(C2xS3^2)	144,141
C₂.₉(C₂×S₃²) = D₆.₆D₆	central stem extension (φ=1)	24	4+	C2.9(C2xS3^2)	144,142
C₂.₁₀(C₂×S₃²) = S₃×D₁₂	central stem extension (φ=1)	24	4+	C2.10(C2xS3^2)	144,144
C₂.₁₁(C₂×S₃²) = D₆⋊D₆	central stem extension (φ=1)	24	4	C2.11(C2xS3^2)	144,145
C₂.₁₂(C₂×S₃²) = D₆.₃D₆	central stem extension (φ=1)	24	4	C2.12(C2xS3^2)	144,147
C₂.₁₃(C₂×S₃²) = D₆.₄D₆	central stem extension (φ=1)	24	4-	C2.13(C2xS3^2)	144,148
C₂.₁₄(C₂×S₃²) = C₂×D₆⋊S₃	central stem extension (φ=1)	48		C2.14(C2xS3^2)	144,150
C₂.₁₅(C₂×S₃²) = C₂×C₃⋊D₁₂	central stem extension (φ=1)	24		C2.15(C2xS3^2)	144,151
C₂.₁₆(C₂×S₃²) = C₂×C₃²⋊₂Q₈	central stem extension (φ=1)	48		C2.16(C2xS3^2)	144,152
C₂.₁₇(C₂×S₃²) = S₃×C₃⋊D₄	central stem extension (φ=1)	24	4	C2.17(C2xS3^2)	144,153
C₂.₁₈(C₂×S₃²) = Dic₃⋊D₆	central stem extension (φ=1)	12	4+	C2.18(C2xS3^2)	144,154

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