Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄.D₇

Direct product G=N×Q with N=C₂² and Q=D₄.D₇

		d	ρ	Label	ID
C₂²×D₄.D₇		224		C2^2xD4.D7	448,1247

Semidirect products G=N:Q with N=C₂² and Q=D₄.D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(D₄.D₇) = C₇⋊C₈⋊₂₃D₄	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224		C2^2:1(D4.D7)	448,575
C₂²⋊₂(D₄.D₇) = Dic₁₄⋊₁₇D₄	φ: D₄.D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2:2(D4.D7)	448,574
C₂²⋊₃(D₄.D₇) = (C₇×D₄).₃₁D₄	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112		C2^2:3(D4.D7)	448,752

Non-split extensions G=N.Q with N=C₂² and Q=D₄.D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄.D₇) = C₂₈.₅₈D₈	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224	4	C2^2.1(D4.D7)	448,124
C₂².₂(D₄.D₇) = (D₄×C₁₄)⋊C₄	φ: D₄.D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.2(D4.D7)	448,94
C₂².₃(D₄.D₇) = C₄⋊D₄.D₇	φ: D₄.D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.3(D4.D7)	448,568
C₂².₄(D₄.D₇) = C₄⋊Dic₇⋊C₄	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112		C2^2.4(D4.D7)	448,9
C₂².₅(D₄.D₇) = C₅₆.Q₈	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.5(D4.D7)	448,44
C₂².₆(D₄.D₇) = D₈.Dic₇	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.6(D4.D7)	448,120
C₂².₇(D₄.D₇) = Q₁₆.Dic₇	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	224	4	C2^2.7(D4.D7)	448,122
C₂².₈(D₄.D₇) = C₄⋊C₄.₂₃₁D₁₄	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	224		C2^2.8(D4.D7)	448,505
C₂².₉(D₄.D₇) = C₂₈.C₄²	central extension (φ=1)	448		C2^2.9(D4.D7)	448,86
C₂².₁₀(D₄.D₇) = C₂×C₄.Dic₁₄	central extension (φ=1)	448		C2^2.10(D4.D7)	448,497
C₂².₁₁(D₄.D₇) = C₂×C₁₄.Q₁₆	central extension (φ=1)	448		C2^2.11(D4.D7)	448,503
C₂².₁₂(D₄.D₇) = C₂×D₄⋊Dic₇	central extension (φ=1)	224		C2^2.12(D4.D7)	448,748

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