Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄≀C₂

Direct product G=N×Q with N=C₂² and Q=C₄≀C₂

		d	ρ	Label	ID
C₂²×C₄≀C₂		32		C2^2xC4wrC2	128,1631

Semidirect products G=N:Q with N=C₂² and Q=C₄≀C₂

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁C₄≀C₂ = (C₂×C₄)≀C₂	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₂²	16	C2^2:1C4wrC2	128,628
C₂²⋊₂C₄≀C₂ = C₂⁴.₇₂D₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₂²	32	C2^2:2C4wrC2	128,603
C₂²⋊₃C₄≀C₂ = C₂⁴.₆₆D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2:3C4wrC2	128,521

Non-split extensions G=N.Q with N=C₂² and Q=C₄≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁C₄≀C₂ = C₈≀C₂	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₂²	16	2	C2^2.1C4wrC2	128,67
C₂².₂C₄≀C₂ = C₈.₃₂D₈	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₂²	16	4	C2^2.2C4wrC2	128,68
C₂².₃C₄≀C₂ = C₄².₃₀₅D₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.3C4wrC2	128,226
C₂².₄C₄≀C₂ = C₂⁴.₁₅₀D₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₂²	16		C2^2.4C4wrC2	128,236
C₂².₅C₄≀C₂ = C₄².₆₉D₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.5C4wrC2	128,264
C₂².₆C₄≀C₂ = C₄².₄₇D₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.6C4wrC2	128,215
C₂².₇C₄≀C₂ = C₂⁴.₅₃D₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₂²	32		C2^2.7C4wrC2	128,233
C₂².₈C₄≀C₂ = C₄².₆₆D₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.8C4wrC2	128,256
C₂².₉C₄≀C₂ = C₂⁴.₄₆D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.9C4wrC2	128,16
C₂².₁₀C₄≀C₂ = C₄².₆Q₈	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.10C4wrC2	128,20
C₂².₁₁C₄≀C₂ = C₂⁴.₄₈D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.11C4wrC2	128,29
C₂².₁₂C₄≀C₂ = C₄².₉Q₈	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.12C4wrC2	128,32
C₂².₁₃C₄≀C₂ = C₂⁴.D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	16		C2^2.13C4wrC2	128,75
C₂².₁₄C₄≀C₂ = C₂³.₄D₈	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.14C4wrC2	128,76
C₂².₁₅C₄≀C₂ = C₂.C₂≀C₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.15C4wrC2	128,77
C₂².₁₆C₄≀C₂ = (C₂×C₄).D₈	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.16C4wrC2	128,78
C₂².₁₇C₄≀C₂ = C₂³.Q₁₆	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.17C4wrC2	128,83
C₂².₁₈C₄≀C₂ = C₂⁴.₄D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.18C4wrC2	128,84
C₂².₁₉C₄≀C₂ = (C₂×C₄).Q₁₆	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.19C4wrC2	128,85
C₂².₂₀C₄≀C₂ = C₂.₇C₂≀C₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.20C4wrC2	128,86
C₂².₂₁C₄≀C₂ = D₄⋊₅M₄(2)	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.21C4wrC2	128,222
C₂².₂₂C₄≀C₂ = Q₈⋊₅M₄(2)	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	64		C2^2.22C4wrC2	128,223
C₂².₂₃C₄≀C₂ = C₂⁴.₅₄D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.23C4wrC2	128,239
C₂².₂₄C₄≀C₂ = C₂⁴.₅₅D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.24C4wrC2	128,240
C₂².₂₅C₄≀C₂ = C₄².₄₀₇D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.25C4wrC2	128,259
C₂².₂₆C₄≀C₂ = C₄².₄₀₈D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	64		C2^2.26C4wrC2	128,260
C₂².₂₇C₄≀C₂ = C₂⁴.₇₀D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.27C4wrC2	128,558
C₂².₂₈C₄≀C₂ = (C₂×C₄).₉₈D₈	central extension (φ=1)	64		C2^2.28C4wrC2	128,2
C₂².₂₉C₄≀C₂ = C₄⋊C₄⋊C₈	central extension (φ=1)	128		C2^2.29C4wrC2	128,3
C₂².₃₀C₄≀C₂ = (C₂×Q₈)⋊C₈	central extension (φ=1)	128		C2^2.30C4wrC2	128,4
C₂².₃₁C₄≀C₂ = C₄².₄₆Q₈	central extension (φ=1)	128		C2^2.31C4wrC2	128,11
C₂².₃₂C₄≀C₂ = C₂³.₃₀D₈	central extension (φ=1)	32		C2^2.32C4wrC2	128,26
C₂².₃₃C₄≀C₂ = C₄².₇Q₈	central extension (φ=1)	128		C2^2.33C4wrC2	128,27
C₂².₃₄C₄≀C₂ = C₂×D₄⋊C₈	central extension (φ=1)	64		C2^2.34C4wrC2	128,206
C₂².₃₅C₄≀C₂ = C₂×Q₈⋊C₈	central extension (φ=1)	128		C2^2.35C4wrC2	128,207
C₂².₃₆C₄≀C₂ = C₂×C₂².SD₁₆	central extension (φ=1)	32		C2^2.36C4wrC2	128,230
C₂².₃₇C₄≀C₂ = C₂×C₂³.₃₁D₄	central extension (φ=1)	32		C2^2.37C4wrC2	128,231
C₂².₃₈C₄≀C₂ = C₂×C₄².C₂²	central extension (φ=1)	64		C2^2.38C4wrC2	128,254
C₂².₃₉C₄≀C₂ = C₂×C₄².₂C₂²	central extension (φ=1)	128		C2^2.39C4wrC2	128,255
C₂².₄₀C₄≀C₂ = C₂×C₄²⋊₆C₄	central extension (φ=1)	32		C2^2.40C4wrC2	128,464

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Extensions 1→N→G→Q→1 with N=C22 and Q=C4≀C2

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄≀C₂