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

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

		d	ρ	Label	ID
C₂×C₂²≀C₂		16		C2xC2^2wrC2	64,202

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂⋊₁C₂ = C₂≀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	8	4+	C2^2wrC2:1C2	64,138
C₂²≀C₂⋊₂C₂ = C₂³⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2:2C2	64,215
C₂²≀C₂⋊₃C₂ = C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2:3C2	64,216
C₂²≀C₂⋊₄C₂ = C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2:4C2	64,219
C₂²≀C₂⋊₅C₂ = D₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2:5C2	64,226
C₂²≀C₂⋊₆C₂ = D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2:6C2	64,227
C₂²≀C₂⋊₇C₂ = C₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2:7C2	64,241
C₂²≀C₂⋊₈C₂ = C₂⁴⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2:8C2	64,242
C₂²≀C₂⋊₉C₂ = C₂².₁₉C₂⁴	φ: trivial image	16		C2^2wrC2:9C2	64,206

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂.₁C₂ = C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	8	4+	C2^2wrC2.1C2	64,32
C₂²≀C₂.₂C₂ = C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²≀C₂	16		C2^2wrC2.2C2	64,232

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁