Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²xS₄

Direct product G=NxQ with N=C₂ and Q=C₂²xS₄

		d	ρ	Label	ID
C₂³xS₄		24		C2^3xS4	192,1537

Non-split extensions G=N.Q with N=C₂ and Q=C₂²xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²xS₄) = C₂xC₄xS₄	central extension (φ=1)	24		C2.1(C2^2xS4)	192,1469
C₂.₂(C₂²xS₄) = C₂²xA₄:C₄	central extension (φ=1)	48		C2.2(C2^2xS4)	192,1487
C₂.₃(C₂²xS₄) = C₂xA₄:Q₈	central stem extension (φ=1)	48		C2.3(C2^2xS4)	192,1468
C₂.₄(C₂²xS₄) = C₂xC₄:S₄	central stem extension (φ=1)	24		C2.4(C2^2xS4)	192,1470
C₂.₅(C₂²xS₄) = C₂⁴.₁₀D₆	central stem extension (φ=1)	24	6	C2.5(C2^2xS4)	192,1471
C₂.₆(C₂²xS₄) = D₄xS₄	central stem extension (φ=1)	12	6+	C2.6(C2^2xS4)	192,1472
C₂.₇(C₂²xS₄) = D₄:₂S₄	central stem extension (φ=1)	24	6	C2.7(C2^2xS4)	192,1473
C₂.₈(C₂²xS₄) = C₂²xCSU₂(F₃)	central stem extension (φ=1)	64		C2.8(C2^2xS4)	192,1474
C₂.₉(C₂²xS₄) = C₂²xGL₂(F₃)	central stem extension (φ=1)	32		C2.9(C2^2xS4)	192,1475
C₂.₁₀(C₂²xS₄) = C₂xQ₈.D₆	central stem extension (φ=1)	32		C2.10(C2^2xS4)	192,1476
C₂.₁₁(C₂²xS₄) = Q₈xS₄	central stem extension (φ=1)	24	6-	C2.11(C2^2xS4)	192,1477
C₂.₁₂(C₂²xS₄) = Q₈:₄S₄	central stem extension (φ=1)	24	6	C2.12(C2^2xS4)	192,1478
C₂.₁₃(C₂²xS₄) = C₂xC₄.S₄	central stem extension (φ=1)	64		C2.13(C2^2xS4)	192,1479
C₂.₁₄(C₂²xS₄) = C₂xC₄.₆S₄	central stem extension (φ=1)	32		C2.14(C2^2xS4)	192,1480
C₂.₁₅(C₂²xS₄) = C₂xC₄.₃S₄	central stem extension (φ=1)	32		C2.15(C2^2xS4)	192,1481
C₂.₁₆(C₂²xS₄) = GL₂(F₃):C₂²	central stem extension (φ=1)	32	4	C2.16(C2^2xS4)	192,1482
C₂.₁₇(C₂²xS₄) = Q₈.₆S₄	central stem extension (φ=1)	32	4	C2.17(C2^2xS4)	192,1483
C₂.₁₈(C₂²xS₄) = Q₈.₇S₄	central stem extension (φ=1)	32	4+	C2.18(C2^2xS4)	192,1484
C₂.₁₉(C₂²xS₄) = D₄.₄S₄	central stem extension (φ=1)	16	4	C2.19(C2^2xS4)	192,1485
C₂.₂₀(C₂²xS₄) = D₄.₅S₄	central stem extension (φ=1)	32	4-	C2.20(C2^2xS4)	192,1486
C₂.₂₁(C₂²xS₄) = C₂xA₄:D₄	central stem extension (φ=1)	24		C2.21(C2^2xS4)	192,1488

Extensions 1→N→G→Q→1 with N=C2 and Q=C22xS4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²xS₄