Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=D₇

Direct product G=N×Q with N=C₂³⋊C₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₂³⋊C₄		56	8+	D7xC2^3:C4	448,277

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊₁D₇ = C₇⋊C₂≀C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂³⋊C₄	56	8+	C2^3:C4:1D7	448,28
C₂³⋊C₄⋊₂D₇ = C₂³.₂D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂³⋊C₄	56	8+	C2^3:C4:2D7	448,31
C₂³⋊C₄⋊₃D₇ = C₂³⋊D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂³⋊C₄	56	8+	C2^3:C4:3D7	448,275
C₂³⋊C₄⋊₄D₇ = C₂³.₅D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂³⋊C₄	112	8-	C2^3:C4:4D7	448,276
C₂³⋊C₄⋊₅D₇ = C₂³⋊C₄⋊₅D₇	φ: trivial image	112	8-	C2^3:C4:5D7	448,274

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁D₇ = (C₂×C₂₈).D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂³⋊C₄	112	8-	C2^3:C4.1D7	448,29
C₂³⋊C₄.₂D₇ = C₂³.D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂³⋊C₄	112	8-	C2^3:C4.2D7	448,30

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁