Extensions 1→N→G→Q→1 with N=C₄².₂₈C₂² and Q=C₂

Direct product G=N×Q with N=C₄².₂₈C₂² and Q=C₂

		d	ρ	Label	ID
C₂×C₄².₂₈C₂²		64		C2xC4^2.28C2^2	128,1864

Semidirect products G=N:Q with N=C₄².₂₈C₂² and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄².₂₈C₂²⋊₁C₂ = C₄².₂₇₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:1C2	128,1945
C₄².₂₈C₂²⋊₂C₂ = C₄².₂₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:2C2	128,1946
C₄².₂₈C₂²⋊₃C₂ = C₄².₂₇₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:3C2	128,1947
C₄².₂₈C₂²⋊₄C₂ = C₄².₂₇₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:4C2	128,1948
C₄².₂₈C₂²⋊₅C₂ = C₄².₄₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:5C2	128,1956
C₄².₂₈C₂²⋊₆C₂ = C₄².₄₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:6C2	128,1957
C₄².₂₈C₂²⋊₇C₂ = C₄².₂₉₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:7C2	128,1970
C₄².₂₈C₂²⋊₈C₂ = C₄².₂₉₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:8C2	128,1971
C₄².₂₈C₂²⋊₉C₂ = C₄².₂₉₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:9C2	128,1972
C₄².₂₈C₂²⋊₁₀C₂ = C₄².₄₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:10C2	128,1975
C₄².₂₈C₂²⋊₁₁C₂ = C₄².₄₂₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:11C2	128,1976
C₄².₂₈C₂²⋊₁₂C₂ = C₄².₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:12C2	128,2038
C₄².₂₈C₂²⋊₁₃C₂ = C₄².₄₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:13C2	128,2040
C₄².₂₈C₂²⋊₁₄C₂ = C₄².₄₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:14C2	128,2043
C₄².₂₈C₂²⋊₁₅C₂ = C₄².₄₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:15C2	128,2045
C₄².₂₈C₂²⋊₁₆C₂ = C₄².₄₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:16C2	128,2046
C₄².₂₈C₂²⋊₁₇C₂ = C₄².₅₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:17C2	128,2048
C₄².₂₈C₂²⋊₁₈C₂ = C₄².₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:18C2	128,2051
C₄².₂₈C₂²⋊₁₉C₂ = C₄².₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:19C2	128,2053
C₄².₂₈C₂²⋊₂₀C₂ = C₄².₅₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:20C2	128,2099
C₄².₂₈C₂²⋊₂₁C₂ = C₄².₅₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:21C2	128,2102
C₄².₂₈C₂²⋊₂₂C₂ = C₄².₅₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:22C2	128,2103
C₄².₂₈C₂²⋊₂₃C₂ = C₄².₅₁₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:23C2	128,2105
C₄².₂₈C₂²⋊₂₄C₂ = C₄².₅₁₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:24C2	128,2107
C₄².₂₈C₂²⋊₂₅C₂ = C₄².₅₁₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:25C2	128,2108
C₄².₂₈C₂²⋊₂₆C₂ = C₄².₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:26C2	128,391
C₄².₂₈C₂²⋊₂₇C₂ = C₄².₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:27C2	128,393
C₄².₂₈C₂²⋊₂₈C₂ = C₄².₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:28C2	128,394
C₄².₂₈C₂²⋊₂₉C₂ = C₄².₃₆₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:29C2	128,1868
C₄².₂₈C₂²⋊₃₀C₂ = C₄².₃₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:30C2	128,1869
C₄².₂₈C₂²⋊₃₁C₂ = C₄².₂₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	32	C4^2.28C2^2:31C2	128,1872
C₄².₂₈C₂²⋊₃₂C₂ = C₄².₂₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:32C2	128,1873
C₄².₂₈C₂²⋊₃₃C₂ = C₄².₃₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:33C2	128,1905
C₄².₂₈C₂²⋊₃₄C₂ = C₄².₃₈₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:34C2	128,1907
C₄².₂₈C₂²⋊₃₅C₂ = C₄².₂₅₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:35C2	128,1912
C₄².₂₈C₂²⋊₃₆C₂ = C₄².₂₅₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2:36C2	128,1913
C₄².₂₈C₂²⋊₃₇C₂ = C₄².₂₃₉D₄	φ: trivial image	64	C4^2.28C2^2:37C2	128,1867
C₄².₂₈C₂²⋊₃₈C₂ = C₄².₂₅₅D₄	φ: trivial image	64	C4^2.28C2^2:38C2	128,1903
C₄².₂₈C₂²⋊₃₉C₂ = C₄².₂₅₆D₄	φ: trivial image	64	C4^2.28C2^2:39C2	128,1904

Non-split extensions G=N.Q with N=C₄².₂₈C₂² and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄².₂₈C₂².₁C₂ = C₄².₅₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2.1C2	128,2101
C₄².₂₈C₂².₂C₂ = C₄².₅₁₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2.2C2	128,2109
C₄².₂₈C₂².₃C₂ = C₄².₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².₂₈C₂²	64	C4^2.28C2^2.3C2	128,396

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Extensions 1→N→G→Q→1 with N=C42.28C22 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄².₂₈C₂² and Q=C₂