Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈⋊D₇

Direct product G=N×Q with N=C₂² and Q=Q₈⋊D₇

		d	ρ	Label	ID
C₂²×Q₈⋊D₇		224		C2^2xQ8:D7	448,1260

Semidirect products G=N:Q with N=C₂² and Q=Q₈⋊D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(Q₈⋊D₇) = C₇⋊C₈⋊₂₄D₄	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224		C2^2:1(Q8:D7)	448,582
C₂²⋊₂(Q₈⋊D₇) = D₂₈.₃₆D₄	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:2(Q8:D7)	448,580
C₂²⋊₃(Q₈⋊D₇) = (C₇×Q₈)⋊₁₃D₄	φ: Q₈⋊D₇/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2:3(Q8:D7)	448,761

Non-split extensions G=N.Q with N=C₂² and Q=Q₈⋊D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈⋊D₇) = Dic₂₈.C₄	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224	4	C2^2.1(Q8:D7)	448,54
C₂².₂(Q₈⋊D₇) = C₈.Dic₁₄	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₂²	112	4	C2^2.2(Q8:D7)	448,51
C₂².₃(Q₈⋊D₇) = D₅₆.C₄	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₂²	112	4+	C2^2.3(Q8:D7)	448,52
C₂².₄(Q₈⋊D₇) = C₅₆.₈D₄	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₂²	224	4-	C2^2.4(Q8:D7)	448,53
C₂².₅(Q₈⋊D₇) = C₄⋊C₄⋊Dic₇	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₂²	112		C2^2.5(Q8:D7)	448,95
C₂².₆(Q₈⋊D₇) = C₂²⋊Q₈.D₇	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.6(Q8:D7)	448,577
C₂².₇(Q₈⋊D₇) = C₁₄.C₄≀C₂	φ: Q₈⋊D₇/C₇×Q₈ → C₂ ⊆ Aut C₂²	112		C2^2.7(Q8:D7)	448,8
C₂².₈(Q₈⋊D₇) = C₄⋊C₄.₂₂₈D₁₄	φ: Q₈⋊D₇/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2.8(Q8:D7)	448,502
C₂².₉(Q₈⋊D₇) = C₂₈.C₄²	central extension (φ=1)	448		C2^2.9(Q8:D7)	448,86
C₂².₁₀(Q₈⋊D₇) = C₂×C₄.Dic₁₄	central extension (φ=1)	448		C2^2.10(Q8:D7)	448,497
C₂².₁₁(Q₈⋊D₇) = C₂×C₁₄.D₈	central extension (φ=1)	224		C2^2.11(Q8:D7)	448,499
C₂².₁₂(Q₈⋊D₇) = C₂×Q₈⋊Dic₇	central extension (φ=1)	448		C2^2.12(Q8:D7)	448,758

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