Extensions 1→N→G→Q→1 with N=C₂⁴⋊D₇ and Q=C₂

Direct product G=N×Q with N=C₂⁴⋊D₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₂⁴⋊D₇		112		C2xC2^4:D7	448,1293

Semidirect products G=N:Q with N=C₂⁴⋊D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊D₇⋊₁C₂ = C₂⁴⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	56	4	C2^4:D7:1C2	448,566
C₂⁴⋊D₇⋊₂C₂ = C₂⁴.₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:2C2	448,943
C₂⁴⋊D₇⋊₃C₂ = C₂⁴.₃₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:3C2	448,947
C₂⁴⋊D₇⋊₄C₂ = C₂⁴.₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:4C2	448,1039
C₂⁴⋊D₇⋊₅C₂ = D₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	56		C2^4:D7:5C2	448,1041
C₂⁴⋊D₇⋊₆C₂ = C₂⁴⋊₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:6C2	448,1042
C₂⁴⋊D₇⋊₇C₂ = C₂⁴.₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:7C2	448,1045
C₂⁴⋊D₇⋊₈C₂ = C₂⁴.₃₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:8C2	448,1046
C₂⁴⋊D₇⋊₉C₂ = C₂⁴⋊₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:9C2	448,1047
C₂⁴⋊D₇⋊₁₀C₂ = C₂⁴.₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:10C2	448,1048
C₂⁴⋊D₇⋊₁₁C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:11C2	448,1254
C₂⁴⋊D₇⋊₁₂C₂ = C₂⁴⋊₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:12C2	448,1257
C₂⁴⋊D₇⋊₁₃C₂ = C₂⁴.₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:13C2	448,1258
C₂⁴⋊D₇⋊₁₄C₂ = C₂⁴.₄₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7:14C2	448,1259
C₂⁴⋊D₇⋊₁₅C₂ = C₂⁴.₇₂D₁₄	φ: trivial image	112		C2^4:D7:15C2	448,1244

Non-split extensions G=N.Q with N=C₂⁴⋊D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊D₇.C₂ = C₂⁴.₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂⁴⋊D₇	112		C2^4:D7.C2	448,948

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