Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇×D₈

Direct product G=N×Q with N=C₂² and Q=C₇×D₈

		d	ρ	Label	ID
D₈×C₂×C₁₄		224		D8xC2xC14	448,1352

Semidirect products G=N:Q with N=C₂² and Q=C₇×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₇×D₈) = C₇×C₈⋊₇D₄	φ: C₇×D₈/C₅₆ → C₂ ⊆ Aut C₂²	224		C2^2:1(C7xD8)	448,874
C₂²⋊₂(C₇×D₈) = C₇×C₂²⋊D₈	φ: C₇×D₈/C₇×D₄ → C₂ ⊆ Aut C₂²	112		C2^2:2(C7xD8)	448,855

Non-split extensions G=N.Q with N=C₂² and Q=C₇×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₇×D₈) = C₇×C₄○D₁₆	φ: C₇×D₈/C₅₆ → C₂ ⊆ Aut C₂²	224	2	C2^2.1(C7xD8)	448,916
C₂².₂(C₇×D₈) = C₇×C₂².SD₁₆	φ: C₇×D₈/C₇×D₄ → C₂ ⊆ Aut C₂²	112		C2^2.2(C7xD8)	448,131
C₂².₃(C₇×D₈) = C₇×D₈⋊₂C₄	φ: C₇×D₈/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.3(C7xD8)	448,164
C₂².₄(C₇×D₈) = C₇×C₂².D₈	φ: C₇×D₈/C₇×D₄ → C₂ ⊆ Aut C₂²	224		C2^2.4(C7xD8)	448,888
C₂².₅(C₇×D₈) = C₇×C₁₆⋊C₂²	φ: C₇×D₈/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.5(C7xD8)	448,917
C₂².₆(C₇×D₈) = C₇×Q₃₂⋊C₂	φ: C₇×D₈/C₇×D₄ → C₂ ⊆ Aut C₂²	224	4	C2^2.6(C7xD8)	448,918
C₂².₇(C₇×D₈) = C₇×C₂².₄Q₁₆	central extension (φ=1)	448		C2^2.7(C7xD8)	448,144
C₂².₈(C₇×D₈) = C₇×C₂.D₁₆	central extension (φ=1)	224		C2^2.8(C7xD8)	448,161
C₂².₉(C₇×D₈) = C₇×C₂.Q₃₂	central extension (φ=1)	448		C2^2.9(C7xD8)	448,162
C₂².₁₀(C₇×D₈) = C₇×C₁₆⋊₃C₄	central extension (φ=1)	448		C2^2.10(C7xD8)	448,170
C₂².₁₁(C₇×D₈) = C₇×C₁₆⋊₄C₄	central extension (φ=1)	448		C2^2.11(C7xD8)	448,171
C₂².₁₂(C₇×D₈) = C₁₄×D₄⋊C₄	central extension (φ=1)	224		C2^2.12(C7xD8)	448,822
C₂².₁₃(C₇×D₈) = C₁₄×C₂.D₈	central extension (φ=1)	448		C2^2.13(C7xD8)	448,834
C₂².₁₄(C₇×D₈) = C₁₄×D₁₆	central extension (φ=1)	224		C2^2.14(C7xD8)	448,913
C₂².₁₅(C₇×D₈) = C₁₄×SD₃₂	central extension (φ=1)	224		C2^2.15(C7xD8)	448,914
C₂².₁₆(C₇×D₈) = C₁₄×Q₃₂	central extension (φ=1)	448		C2^2.16(C7xD8)	448,915

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