Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄.₃D₄

Direct product G=N×Q with N=C₂ and Q=D₄.₃D₄

		d	ρ	Label	ID
C₂×D₄.₃D₄		32		C2xD4.3D4	128,1796

Non-split extensions G=N.Q with N=C₂ and Q=D₄.₃D₄

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(D₄.₃D₄) = C₄○D₄.₄Q₈	central extension (φ=1)	64	C2.1(D4.3D4)	128,547
C₂.₂(D₄.₃D₄) = M₄(2).₄₈D₄	central extension (φ=1)	32	C2.2(D4.3D4)	128,639
C₂.₃(D₄.₃D₄) = M₄(2).₄₉D₄	central extension (φ=1)	64	C2.3(D4.3D4)	128,640
C₂.₄(D₄.₃D₄) = C₄.₁₀D₄⋊₃C₄	central extension (φ=1)	64	C2.4(D4.3D4)	128,662
C₂.₅(D₄.₃D₄) = C₄.D₄⋊₃C₄	central extension (φ=1)	32	C2.5(D4.3D4)	128,663
C₂.₆(D₄.₃D₄) = M₄(2).₅Q₈	central extension (φ=1)	64	C2.6(D4.3D4)	128,683
C₂.₇(D₄.₃D₄) = M₄(2).₃₁D₄	central extension (φ=1)	32	C2.7(D4.3D4)	128,709
C₂.₈(D₄.₃D₄) = C₈⋊₈D₈	central stem extension (φ=1)	64	C2.8(D4.3D4)	128,397
C₂.₉(D₄.₃D₄) = C₈⋊₁₄SD₁₆	central stem extension (φ=1)	64	C2.9(D4.3D4)	128,398
C₂.₁₀(D₄.₃D₄) = C₈⋊₁₁SD₁₆	central stem extension (φ=1)	64	C2.10(D4.3D4)	128,403
C₂.₁₁(D₄.₃D₄) = C₈⋊₈Q₁₆	central stem extension (φ=1)	128	C2.11(D4.3D4)	128,404
C₂.₁₂(D₄.₃D₄) = D₄.₂D₈	central stem extension (φ=1)	64	C2.12(D4.3D4)	128,413
C₂.₁₃(D₄.₃D₄) = Q₈.₂D₈	central stem extension (φ=1)	64	C2.13(D4.3D4)	128,414
C₂.₁₄(D₄.₃D₄) = D₄.Q₁₆	central stem extension (φ=1)	64	C2.14(D4.3D4)	128,415
C₂.₁₅(D₄.₃D₄) = Q₈.₂Q₁₆	central stem extension (φ=1)	128	C2.15(D4.3D4)	128,416
C₂.₁₆(D₄.₃D₄) = C₈⋊D₈	central stem extension (φ=1)	64	C2.16(D4.3D4)	128,417
C₂.₁₇(D₄.₃D₄) = C₈⋊SD₁₆	central stem extension (φ=1)	64	C2.17(D4.3D4)	128,418
C₂.₁₈(D₄.₃D₄) = C₈⋊₃SD₁₆	central stem extension (φ=1)	64	C2.18(D4.3D4)	128,423
C₂.₁₉(D₄.₃D₄) = C₈⋊Q₁₆	central stem extension (φ=1)	128	C2.19(D4.3D4)	128,424
C₂.₂₀(D₄.₃D₄) = C₄².₂₅₂C₂³	central stem extension (φ=1)	64	C2.20(D4.3D4)	128,433
C₂.₂₁(D₄.₃D₄) = C₄².₂₅₃C₂³	central stem extension (φ=1)	64	C2.21(D4.3D4)	128,434
C₂.₂₂(D₄.₃D₄) = C₄².₂₅₄C₂³	central stem extension (φ=1)	64	C2.22(D4.3D4)	128,435
C₂.₂₃(D₄.₃D₄) = C₄².₂₅₅C₂³	central stem extension (φ=1)	128	C2.23(D4.3D4)	128,436
C₂.₂₄(D₄.₃D₄) = M₄(2).₅D₄	central stem extension (φ=1)	32	C2.24(D4.3D4)	128,751
C₂.₂₅(D₄.₃D₄) = C₄⋊C₄.₉₇D₄	central stem extension (φ=1)	32	C2.25(D4.3D4)	128,778
C₂.₂₆(D₄.₃D₄) = M₄(2).₁₀D₄	central stem extension (φ=1)	32	C2.26(D4.3D4)	128,783
C₂.₂₇(D₄.₃D₄) = M₄(2).₁₁D₄	central stem extension (φ=1)	64	C2.27(D4.3D4)	128,784
C₂.₂₈(D₄.₃D₄) = M₄(2).₁₂D₄	central stem extension (φ=1)	32	C2.28(D4.3D4)	128,795
C₂.₂₉(D₄.₃D₄) = M₄(2).₁₃D₄	central stem extension (φ=1)	64	C2.29(D4.3D4)	128,796
C₂.₃₀(D₄.₃D₄) = (C₂×C₈).₁₆₅D₄	central stem extension (φ=1)	64	C2.30(D4.3D4)	128,811
C₂.₃₁(D₄.₃D₄) = M₄(2).₂Q₈	central stem extension (φ=1)	64	C2.31(D4.3D4)	128,822

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Extensions 1→N→G→Q→1 with N=C2 and Q=D4.3D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄.₃D₄