Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂⁴⋊C₆

Direct product G=N×Q with N=C₂ and Q=C₂⁴⋊C₆

		d	ρ	Label	ID
C₂×C₂⁴⋊C₆		12	6+	C2xC2^4:C6	192,1000

Non-split extensions G=N.Q with N=C₂ and Q=C₂⁴⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂⁴⋊C₆) = C₂⁴⋊C₁₂	central extension (φ=1)	12	6+	C2.1(C2^4:C6)	192,191
C₂.₂(C₂⁴⋊C₆) = C₂⁴.A₄	central stem extension (φ=1)	24	6	C2.2(C2^4:C6)	192,195
C₂.₃(C₂⁴⋊C₆) = (C₂²×C₄).A₄	central stem extension (φ=1)	24	6-	C2.3(C2^4:C6)	192,196
C₂.₄(C₂⁴⋊C₆) = C₂≀A₄	central stem extension (φ=1)	8	4+	C2.4(C2^4:C6)	192,201
C₂.₅(C₂⁴⋊C₆) = 2₊¹⁺⁴.C₆	central stem extension (φ=1)	16	4	C2.5(C2^4:C6)	192,202

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