Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄.S₃

Direct product G=N×Q with N=C₂² and Q=D₄.S₃

		d	ρ	Label	ID
C₂²×D₄.S₃		96		C2^2xD4.S3	192,1353

Semidirect products G=N:Q with N=C₂² and Q=D₄.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(D₄.S₃) = A₄⋊SD₁₆	φ: D₄.S₃/D₄ → S₃ ⊆ Aut C₂²	24	6	C2^2:(D4.S3)	192,973
C₂²⋊₂(D₄.S₃) = C₃⋊C₈⋊₂₃D₄	φ: D₄.S₃/C₃⋊C₈ → C₂ ⊆ Aut C₂²	96		C2^2:2(D4.S3)	192,600
C₂²⋊₃(D₄.S₃) = Dic₆⋊₁₇D₄	φ: D₄.S₃/Dic₆ → C₂ ⊆ Aut C₂²	96		C2^2:3(D4.S3)	192,599
C₂²⋊₄(D₄.S₃) = (C₃×D₄).₃₁D₄	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48		C2^2:4(D4.S3)	192,777

Non-split extensions G=N.Q with N=C₂² and Q=D₄.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄.S₃) = C₂₄.₄₁D₄	φ: D₄.S₃/C₃⋊C₈ → C₂ ⊆ Aut C₂²	96	4	C2^2.1(D4.S3)	192,126
C₂².₂(D₄.S₃) = (C₆×D₄)⋊C₄	φ: D₄.S₃/Dic₆ → C₂ ⊆ Aut C₂²	48		C2^2.2(D4.S3)	192,96
C₂².₃(D₄.S₃) = C₄⋊D₄.S₃	φ: D₄.S₃/Dic₆ → C₂ ⊆ Aut C₂²	96		C2^2.3(D4.S3)	192,593
C₂².₄(D₄.S₃) = C₄⋊Dic₃⋊C₄	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48		C2^2.4(D4.S3)	192,11
C₂².₅(D₄.S₃) = C₈.Dic₆	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.5(D4.S3)	192,46
C₂².₆(D₄.S₃) = D₈.Dic₃	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.6(D4.S3)	192,122
C₂².₇(D₄.S₃) = Q₁₆.Dic₃	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	96	4	C2^2.7(D4.S3)	192,124
C₂².₈(D₄.S₃) = C₄⋊C₄.₂₃₁D₆	φ: D₄.S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	96		C2^2.8(D4.S3)	192,530
C₂².₉(D₄.S₃) = C₁₂.C₄²	central extension (φ=1)	192		C2^2.9(D4.S3)	192,88
C₂².₁₀(D₄.S₃) = C₂×C₁₂.Q₈	central extension (φ=1)	192		C2^2.10(D4.S3)	192,522
C₂².₁₁(D₄.S₃) = C₂×C₆.SD₁₆	central extension (φ=1)	192		C2^2.11(D4.S3)	192,528
C₂².₁₂(D₄.S₃) = C₂×D₄⋊Dic₃	central extension (φ=1)	96		C2^2.12(D4.S3)	192,773

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