Extensions 1→N→G→Q→1 with N=C₄.₁₂D₂₈ and Q=C₂

Direct product G=N×Q with N=C₄.₁₂D₂₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.₁₂D₂₈		224		C2xC4.12D28	448,670

Semidirect products G=N:Q with N=C₄.₁₂D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₂D₂₈⋊₁C₂ = D₄.₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	4-	C4.12D28:1C2	448,360
C₄.₁₂D₂₈⋊₂C₂ = D₄.₁₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	4	C4.12D28:2C2	448,361
C₄.₁₂D₂₈⋊₃C₂ = C₈.₂₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	224	4-	C4.12D28:3C2	448,430
C₄.₁₂D₂₈⋊₄C₂ = C₈.₂₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	4	C4.12D28:4C2	448,432
C₄.₁₂D₂₈⋊₅C₂ = M₄(2).₁₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	8-	C4.12D28:5C2	448,279
C₄.₁₂D₂₈⋊₆C₂ = D₂₈.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	8-	C4.12D28:6C2	448,282
C₄.₁₂D₂₈⋊₇C₂ = D₇×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	8-	C4.12D28:7C2	448,284
C₄.₁₂D₂₈⋊₈C₂ = D₂₈.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	224	8-	C4.12D28:8C2	448,289
C₄.₁₂D₂₈⋊₉C₂ = M₄(2).₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	8-	C4.12D28:9C2	448,734
C₄.₁₂D₂₈⋊₁₀C₂ = D₂₈.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	8-	C4.12D28:10C2	448,735
C₄.₁₂D₂₈⋊₁₁C₂ = M₄(2).₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	224	8-	C4.12D28:11C2	448,738
C₄.₁₂D₂₈⋊₁₂C₂ = D₂₈.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	8-	C4.12D28:12C2	448,739
C₄.₁₂D₂₈⋊₁₃C₂ = D₄.₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	112	4	C4.12D28:13C2	448,675
C₄.₁₂D₂₈⋊₁₄C₂ = D₄.₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.₁₂D₂₈	224	4-	C4.12D28:14C2	448,677
C₄.₁₂D₂₈⋊₁₅C₂ = M₄(2).₃₁D₁₄	φ: trivial image	112	4	C4.12D28:15C2	448,666

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁