Extensions 1→N→G→Q→1 with N=C₄².C₂ and Q=C₄

Direct product G=NxQ with N=C₄².C₂ and Q=C₄

		d	ρ	Label	ID
C₄xC₄².C₂		128		C4xC4^2.C2	128,1037

Semidirect products G=N:Q with N=C₄².C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂:₁C₄ = C₈:C₄:₅C₄	φ: C₄/C₁ → C₄ ⊆ Out C₄².C₂	16	8+	C4^2.C2:1C4	128,144
C₄².C₂:₂C₄ = (C₄xC₈):C₄	φ: C₄/C₁ → C₄ ⊆ Out C₄².C₂	32	4	C4^2.C2:2C4	128,146
C₄².C₂:₃C₄ = C₄².₃₇₅D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:3C4	128,232
C₄².C₂:₄C₄ = C₄².₅₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:4C4	128,241
C₄².C₂:₅C₄ = C₄².₅₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:5C4	128,244
C₄².C₂:₆C₄ = C₄².₆₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:6C4	128,253
C₄².C₂:₇C₄ = M₄(2):₇Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:7C4	128,718
C₄².C₂:₈C₄ = C₄².₁₂₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:8C4	128,721
C₄².C₂:₉C₄ = C₄².₄₃₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:9C4	128,723
C₄².C₂:₁₀C₄ = C₄².₁₂₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:10C4	128,724
C₄².C₂:₁₁C₄ = C₄²:₁₆Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:11C4	128,726
C₄².C₂:₁₂C₄ = C₄²:Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:12C4	128,727
C₄².C₂:₁₃C₄ = C₄².₃₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:13C4	128,1062
C₄².C₂:₁₄C₄ = C₂³.₂₁₈C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:14C4	128,1068
C₄².C₂:₁₅C₄ = C₂³.₂₅₂C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:15C4	128,1102
C₄².C₂:₁₆C₄ = C₂³.₂₅₃C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:16C4	128,1103
C₄².C₂:₁₇C₄ = C₂³.₂₆₄C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2:17C4	128,1114

Non-split extensions G=N.Q with N=C₄².C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂.₁C₄ = C₄.C₄wrC₂	φ: C₄/C₁ → C₄ ⊆ Out C₄².C₂	16	8+	C4^2.C2.1C4	128,87
C₄².C₂.₂C₄ = C₄².(C₂xC₄)	φ: C₄/C₁ → C₄ ⊆ Out C₄².C₂	32	8-	C4^2.C2.2C4	128,88
C₄².C₂.₃C₄ = C₈.₁Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₄².C₂	32	4	C4^2.C2.3C4	128,98
C₄².C₂.₄C₄ = C₈:C₄.C₄	φ: C₄/C₁ → C₄ ⊆ Out C₄².C₂	32	8-	C4^2.C2.4C4	128,145
C₄².C₂.₅C₄ = C₄².₃₇₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.5C4	128,214
C₄².C₂.₆C₄ = C₄².₄₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.6C4	128,215
C₄².C₂.₇C₄ = C₄².₃₀₅D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.7C4	128,226
C₄².C₂.₈C₄ = C₄².₅₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.8C4	128,227
C₄².C₂.₉C₄ = C₂xC₄².₂C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	128		C4^2.C2.9C4	128,255
C₄².C₂.₁₀C₄ = C₄².₄₀₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.10C4	128,260
C₄².C₂.₁₁C₄ = C₄².₇₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.11C4	128,266
C₄².C₂.₁₂C₄ = C₄².₄₁₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.12C4	128,276
C₄².C₂.₁₃C₄ = C₄².₈₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.13C4	128,284
C₄².C₂.₁₄C₄ = C₄².₈₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.14C4	128,293
C₄².C₂.₁₅C₄ = C₄².₂₈₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.15C4	128,1693
C₄².C₂.₁₆C₄ = M₄(2):₉Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.16C4	128,1694
C₄².C₂.₁₇C₄ = C₄².₂₉₂C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.17C4	128,1699
C₄².C₂.₁₈C₄ = C₄².₂₉₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.18C4	128,1700
C₄².C₂.₁₉C₄ = C₄².₂₉₄C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.19C4	128,1701
C₄².C₂.₂₀C₄ = C₄².₆₉₆C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.20C4	128,1717
C₄².C₂.₂₁C₄ = C₄².₃₀₄C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.21C4	128,1718
C₄².C₂.₂₂C₄ = C₄².₃₀₅C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.22C4	128,1719
C₄².C₂.₂₃C₄ = C₄².₃₀₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.23C4	128,1724
C₄².C₂.₂₄C₄ = C₄².₃₀₈C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.24C4	128,1725
C₄².C₂.₂₅C₄ = C₄².₃₀₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.25C4	128,1726
C₄².C₂.₂₆C₄ = C₄².₃₁₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.26C4	128,1727
C₄².C₂.₂₇C₄ = C₄².₂₈₆C₂³	φ: trivial image	64		C4^2.C2.27C4	128,1692
C₄².C₂.₂₈C₄ = C₄².₂₉₁C₂³	φ: trivial image	64		C4^2.C2.28C4	128,1698

Extensions 1→N→G→Q→1 with N=C42.C2 and Q=C4

Extensions 1→N→G→Q→1 with N=C₄².C₂ and Q=C₄