Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²⋊S₄

Direct product G=N×Q with N=C₂ and Q=C₂²⋊S₄

		d	ρ	Label	ID
C₂×C₂²⋊S₄		12	6+	C2xC2^2:S4	192,1538

Non-split extensions G=N.Q with N=C₂ and Q=C₂²⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²⋊S₄) = C₂⁴⋊₄Dic₃	central extension (φ=1)	12	6+	C2.1(C2^2:S4)	192,1495
C₂.₂(C₂²⋊S₄) = Q₈.₁S₄	central stem extension (φ=1)	48	6-	C2.2(C2^2:S4)	192,1489
C₂.₃(C₂²⋊S₄) = Q₈⋊S₄	central stem extension (φ=1)	24	6	C2.3(C2^2:S4)	192,1490
C₂.₄(C₂²⋊S₄) = C₂³.S₄	central stem extension (φ=1)	16	4	C2.4(C2^2:S4)	192,1491
C₂.₅(C₂²⋊S₄) = Q₈.S₄	central stem extension (φ=1)	16	4	C2.5(C2^2:S4)	192,1492
C₂.₆(C₂²⋊S₄) = C₂³⋊S₄	central stem extension (φ=1)	8	4+	C2.6(C2^2:S4)	192,1493
C₂.₇(C₂²⋊S₄) = Q₈⋊₂S₄	central stem extension (φ=1)	8	4+	C2.7(C2^2:S4)	192,1494

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