Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄.Dic₇

Direct product G=N×Q with N=C₂² and Q=C₄.Dic₇

		d	ρ	Label	ID
C₂²×C₄.Dic₇		224		C2^2xC4.Dic7	448,1234

Semidirect products G=N:Q with N=C₂² and Q=C₄.Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₄.Dic₇) = C₄².₄₇D₁₄	φ: C₄.Dic₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224		C2^2:1(C4.Dic7)	448,545
C₂²⋊₂(C₄.Dic₇) = C₂⁴.₄Dic₇	φ: C₄.Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:2(C4.Dic7)	448,741

Non-split extensions G=N.Q with N=C₂² and Q=C₄.Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄.Dic₇) = C₅₆.₉₂D₄	φ: C₄.Dic₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224	4	C2^2.1(C4.Dic7)	448,118
C₂².₂(C₄.Dic₇) = C₅₆.₁₆Q₈	φ: C₄.Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112	2	C2^2.2(C4.Dic7)	448,20
C₂².₃(C₄.Dic₇) = C₂₈.₁₅C₄²	φ: C₄.Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112	4	C2^2.3(C4.Dic7)	448,23
C₂².₄(C₄.Dic₇) = C₂⁴.Dic₇	φ: C₄.Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2.4(C4.Dic7)	448,82
C₂².₅(C₄.Dic₇) = (C₂×C₂₈)⋊C₈	φ: C₄.Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.5(C4.Dic7)	448,85
C₂².₆(C₄.Dic₇) = C₄².₇Dic₇	φ: C₄.Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.6(C4.Dic7)	448,460
C₂².₇(C₄.Dic₇) = (C₂×C₂₈)⋊₃C₈	central extension (φ=1)	448		C2^2.7(C4.Dic7)	448,81
C₂².₈(C₄.Dic₇) = C₂×C₄².D₇	central extension (φ=1)	448		C2^2.8(C4.Dic7)	448,455
C₂².₉(C₄.Dic₇) = C₂×C₂₈⋊C₈	central extension (φ=1)	448		C2^2.9(C4.Dic7)	448,457
C₂².₁₀(C₄.Dic₇) = C₂×C₂₈.₅₅D₄	central extension (φ=1)	224		C2^2.10(C4.Dic7)	448,740

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