Extensions 1→N→G→Q→1 with N=C₂³⋊D₁₄ and Q=C₂

Direct product G=N×Q with N=C₂³⋊D₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊D₁₄		112		C2xC2^3:D14	448,1252

Semidirect products G=N:Q with N=C₂³⋊D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊D₁₄⋊₁C₂ = C₂³⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	56	8+	C2^3:D14:1C2	448,275
C₂³⋊D₁₄⋊₂C₂ = D₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	56		C2^3:D14:2C2	448,1041
C₂³⋊D₁₄⋊₃C₂ = C₂⁴⋊₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:3C2	448,1042
C₂³⋊D₁₄⋊₄C₂ = C₂⁴⋊₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:4C2	448,1043
C₂³⋊D₁₄⋊₅C₂ = C₂⁴.₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:5C2	448,1044
C₂³⋊D₁₄⋊₆C₂ = C₂⁴.₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:6C2	448,1045
C₂³⋊D₁₄⋊₇C₂ = C₂⁴⋊₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:7C2	448,1047
C₂³⋊D₁₄⋊₈C₂ = C₄⋊C₄⋊₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:8C2	448,1059
C₂³⋊D₁₄⋊₉C₂ = C₁₄.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:9C2	448,1060
C₂³⋊D₁₄⋊₁₀C₂ = D₂₈⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:10C2	448,1062
C₂³⋊D₁₄⋊₁₁C₂ = D₂₈⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:11C2	448,1065
C₂³⋊D₁₄⋊₁₂C₂ = C₁₄.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:12C2	448,1066
C₂³⋊D₁₄⋊₁₃C₂ = C₁₄.₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:13C2	448,1070
C₂³⋊D₁₄⋊₁₄C₂ = C₁₄.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:14C2	448,1073
C₂³⋊D₁₄⋊₁₅C₂ = C₁₄.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:15C2	448,1106
C₂³⋊D₁₄⋊₁₆C₂ = C₄⋊C₄⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:16C2	448,1109
C₂³⋊D₁₄⋊₁₇C₂ = C₁₄.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:17C2	448,1110
C₂³⋊D₁₄⋊₁₈C₂ = C₁₄.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:18C2	448,1119
C₂³⋊D₁₄⋊₁₉C₂ = 2₊¹⁺⁴⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	56	8+	C2^3:D14:19C2	448,778
C₂³⋊D₁₄⋊₂₀C₂ = D₂₈⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:20C2	448,1003
C₂³⋊D₁₄⋊₂₁C₂ = C₄²⋊₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:21C2	448,1013
C₂³⋊D₁₄⋊₂₂C₂ = C₁₄.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:22C2	448,1058
C₂³⋊D₁₄⋊₂₃C₂ = C₁₄.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:23C2	448,1063
C₂³⋊D₁₄⋊₂₄C₂ = C₄²⋊₂₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:24C2	448,1131
C₂³⋊D₁₄⋊₂₅C₂ = C₄²⋊₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:25C2	448,1136
C₂³⋊D₁₄⋊₂₆C₂ = C₄²⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:26C2	448,1168
C₂³⋊D₁₄⋊₂₇C₂ = D₂₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:27C2	448,1170
C₂³⋊D₁₄⋊₂₈C₂ = C₄²⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:28C2	448,1173
C₂³⋊D₁₄⋊₂₉C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:29C2	448,1254
C₂³⋊D₁₄⋊₃₀C₂ = C₂⁴⋊₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:30C2	448,1257
C₂³⋊D₁₄⋊₃₁C₂ = C₁₄.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:31C2	448,1282
C₂³⋊D₁₄⋊₃₂C₂ = C₁₄.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14:32C2	448,1283
C₂³⋊D₁₄⋊₃₃C₂ = C₄²⋊₁₂D₁₄	φ: trivial image	112		C2^3:D14:33C2	448,1000
C₂³⋊D₁₄⋊₃₄C₂ = (C₂×C₂₈)⋊₁₅D₄	φ: trivial image	112		C2^3:D14:34C2	448,1281

Non-split extensions G=N.Q with N=C₂³⋊D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊D₁₄.₁C₂ = C₇⋊C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	56	8+	C2^3:D14.1C2	448,28
C₂³⋊D₁₄.₂C₂ = C₁₄.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14.2C2	448,1111
C₂³⋊D₁₄.₃C₂ = C₁₄.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14.3C2	448,1112
C₂³⋊D₁₄.₄C₂ = C₂³.₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	56	8+	C2^3:D14.4C2	448,32
C₂³⋊D₁₄.₅C₂ = C₄²⋊₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14.5C2	448,1009
C₂³⋊D₁₄.₆C₂ = C₄²⋊₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊D₁₄	112		C2^3:D14.6C2	448,1132

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C23⋊D14 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³⋊D₁₄ and Q=C₂