Extensions 1→N→G→Q→1 with N=C₄².₇C₂² and Q=C₂

Direct product G=N×Q with N=C₄².₇C₂² and Q=C₂

		d	ρ	Label	ID
C₂×C₄².₇C₂²		64		C2xC4^2.7C2^2	128,1651

Semidirect products G=N:Q with N=C₄².₇C₂² and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄².₇C₂²⋊₁C₂ = C₄².₃₅₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:1C2	128,1850
C₄².₇C₂²⋊₂C₂ = C₄².₃₅₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:2C2	128,1851
C₄².₇C₂²⋊₃C₂ = C₄².₃₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:3C2	128,1852
C₄².₇C₂²⋊₄C₂ = C₄².₃₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:4C2	128,1853
C₄².₇C₂²⋊₅C₂ = C₄².₃₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:5C2	128,1854
C₄².₇C₂²⋊₆C₂ = C₄².₃₅₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:6C2	128,1855
C₄².₇C₂²⋊₇C₂ = C₄².₃₅₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:7C2	128,1856
C₄².₇C₂²⋊₈C₂ = C₄².₃₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:8C2	128,1857
C₄².₇C₂²⋊₉C₂ = C₄².₃₆₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:9C2	128,1858
C₄².₇C₂²⋊₁₀C₂ = C₄².₄₀₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:10C2	128,1952
C₄².₇C₂²⋊₁₁C₂ = C₄².₄₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:11C2	128,1953
C₄².₇C₂²⋊₁₂C₂ = C₄².₄₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:12C2	128,1954
C₄².₇C₂²⋊₁₃C₂ = C₄².₄₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:13C2	128,1955
C₄².₇C₂²⋊₁₄C₂ = C₄².₄₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:14C2	128,1956
C₄².₇C₂²⋊₁₅C₂ = C₄².₄₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:15C2	128,1957
C₄².₇C₂²⋊₁₆C₂ = C₄².₄₂₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:16C2	128,1973
C₄².₇C₂²⋊₁₇C₂ = C₄².₄₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:17C2	128,1975
C₄².₇C₂²⋊₁₈C₂ = C₄².₄₂₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:18C2	128,1976
C₄².₇C₂²⋊₁₉C₂ = C₄².₂₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:19C2	128,1653
C₄².₇C₂²⋊₂₀C₂ = C₄².₂₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:20C2	128,1655
C₄².₇C₂²⋊₂₁C₂ = C₄².₂₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:21C2	128,1656
C₄².₇C₂²⋊₂₂C₂ = C₄².₆₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:22C2	128,1657
C₄².₇C₂²⋊₂₃C₂ = C₄².₂₉₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:23C2	128,1699
C₄².₇C₂²⋊₂₄C₂ = C₄².₂₉₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:24C2	128,1700
C₄².₇C₂²⋊₂₅C₂ = C₄².₂₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:25C2	128,1701
C₄².₇C₂²⋊₂₆C₂ = C₄².₂₉₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:26C2	128,1708
C₄².₇C₂²⋊₂₇C₂ = C₄².₂₉₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:27C2	128,1709
C₄².₇C₂²⋊₂₈C₂ = C₄².₂₉₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	32	C4^2.7C2^2:28C2	128,1710
C₄².₇C₂²⋊₂₉C₂ = C₄².₃₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:29C2	128,1724
C₄².₇C₂²⋊₃₀C₂ = C₄².₃₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:30C2	128,1725
C₄².₇C₂²⋊₃₁C₂ = C₄².₃₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:31C2	128,1726
C₄².₇C₂²⋊₃₂C₂ = C₄².₃₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2:32C2	128,1727
C₄².₇C₂²⋊₃₃C₂ = C₄².₂₆₀C₂³	φ: trivial image	64	C4^2.7C2^2:33C2	128,1654
C₄².₇C₂²⋊₃₄C₂ = C₄².₂₉₁C₂³	φ: trivial image	64	C4^2.7C2^2:34C2	128,1698

Non-split extensions G=N.Q with N=C₄².₇C₂² and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄².₇C₂².₁C₂ = C₄².₃₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2.1C2	128,1859
C₄².₇C₂².₂C₂ = C₄².₄₂₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2.2C2	128,1974
C₄².₇C₂².₃C₂ = C₄².₆₉₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2.3C2	128,1717
C₄².₇C₂².₄C₂ = C₄².₃₀₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2.4C2	128,1718
C₄².₇C₂².₅C₂ = C₄².₃₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₇C₂²	64	C4^2.7C2^2.5C2	128,1719

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Extensions 1→N→G→Q→1 with N=C42.7C22 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄².₇C₂² and Q=C₂