Extensions 1→N→G→Q→1 with N=C₂²⋊D₂₈ and Q=C₂

Direct product G=N×Q with N=C₂²⋊D₂₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂²⋊D₂₈		112		C2xC2^2:D28	448,940

Semidirect products G=N:Q with N=C₂²⋊D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊D₂₈⋊₁C₂ = C₂³⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	56	8+	C2^2:D28:1C2	448,275
C₂²⋊D₂₈⋊₂C₂ = C₂⁴.₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:2C2	448,943
C₂²⋊D₂₈⋊₃C₂ = C₂³⋊₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:3C2	448,946
C₂²⋊D₂₈⋊₄C₂ = C₄²⋊₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:4C2	448,978
C₂²⋊D₂₈⋊₅C₂ = D₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:5C2	448,1002
C₂²⋊D₂₈⋊₆C₂ = D₄⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:6C2	448,1007
C₂²⋊D₂₈⋊₇C₂ = C₄²⋊₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:7C2	448,1013
C₂²⋊D₂₈⋊₈C₂ = D₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	56		C2^2:D28:8C2	448,1041
C₂²⋊D₂₈⋊₉C₂ = C₂⁴⋊₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:9C2	448,1043
C₂²⋊D₂₈⋊₁₀C₂ = C₂⁴.₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:10C2	448,1045
C₂²⋊D₂₈⋊₁₁C₂ = C₁₄.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:11C2	448,1058
C₂²⋊D₂₈⋊₁₂C₂ = C₁₄.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:12C2	448,1060
C₂²⋊D₂₈⋊₁₃C₂ = D₂₈⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:13C2	448,1062
C₂²⋊D₂₈⋊₁₄C₂ = C₁₄.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:14C2	448,1073
C₂²⋊D₂₈⋊₁₅C₂ = C₄⋊C₄⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:15C2	448,1080
C₂²⋊D₂₈⋊₁₆C₂ = D₂₈⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:16C2	448,1083
C₂²⋊D₂₈⋊₁₇C₂ = C₁₄.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:17C2	448,1097
C₂²⋊D₂₈⋊₁₈C₂ = C₁₄.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:18C2	448,1106
C₂²⋊D₂₈⋊₁₉C₂ = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:19C2	448,1107
C₂²⋊D₂₈⋊₂₀C₂ = C₄⋊C₄⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:20C2	448,1109
C₂²⋊D₂₈⋊₂₁C₂ = C₁₄.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:21C2	448,1110
C₂²⋊D₂₈⋊₂₂C₂ = C₁₄.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:22C2	448,1119
C₂²⋊D₂₈⋊₂₃C₂ = C₄²⋊₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:23C2	448,1127
C₂²⋊D₂₈⋊₂₄C₂ = D₂₈⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:24C2	448,1129
C₂²⋊D₂₈⋊₂₅C₂ = C₄²⋊₂₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:25C2	448,1131
C₂²⋊D₂₈⋊₂₆C₂ = C₄²⋊₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:26C2	448,1136
C₂²⋊D₂₈⋊₂₇C₂ = C₄²⋊₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:27C2	448,1157
C₂²⋊D₂₈⋊₂₈C₂ = C₄²⋊₂₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112		C2^2:D28:28C2	448,1164
C₂²⋊D₂₈⋊₂₉C₂ = C₄²⋊₈D₁₄	φ: trivial image	112		C2^2:D28:29C2	448,977
C₂²⋊D₂₈⋊₃₀C₂ = C₄²⋊₁₂D₁₄	φ: trivial image	112		C2^2:D28:30C2	448,1000

Non-split extensions G=N.Q with N=C₂²⋊D₂₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂²⋊D₂₈.₁C₂ = C₄²⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112	C2^2:D28.1C2	448,980
C₂²⋊D₂₈.₂C₂ = C₁₄.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112	C2^2:D28.2C2	448,1090
C₂²⋊D₂₈.₃C₂ = C₄²⋊₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊D₂₈	112	C2^2:D28.3C2	448,1158

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Extensions 1→N→G→Q→1 with N=C22⋊D28 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂²⋊D₂₈ and Q=C₂