Extensions 1→N→G→Q→1 with N=C₇⋊Dic₇ and Q=C₂

Direct product G=N×Q with N=C₇⋊Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₇⋊Dic₇		392		C2xC7:Dic7	392,31

Semidirect products G=N:Q with N=C₇⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊Dic₇⋊₁C₂ = D₇×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊Dic₇	56	4-	C7:Dic7:1C2	392,18
C₇⋊Dic₇⋊₂C₂ = C₇²⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊Dic₇	56	4-	C7:Dic7:2C2	392,20
C₇⋊Dic₇⋊₃C₂ = C₇²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊Dic₇	196		C7:Dic7:3C2	392,32
C₇⋊Dic₇⋊₄C₂ = C₄×C₇⋊D₇	φ: trivial image	196		C7:Dic7:4C2	392,29

Non-split extensions G=N.Q with N=C₇⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊Dic₇.₁C₂ = C₇²⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊Dic₇	56	4-	C7:Dic7.1C2	392,17
C₇⋊Dic₇.₂C₂ = C₇²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊Dic₇	56	4-	C7:Dic7.2C2	392,22
C₇⋊Dic₇.₃C₂ = C₇²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊Dic₇	392		C7:Dic7.3C2	392,28

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁