Extensions 1→N→G→Q→1 with N=C₈.C₂² and Q=C₁₄

Direct product G=N×Q with N=C₈.C₂² and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₈.C₂²		224		C14xC8.C2^2	448,1357

Semidirect products G=N:Q with N=C₈.C₂² and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂²⋊₁C₁₄ = C₇×D₄.₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₂²	112	4	C8.C2^2:1C14	448,863
C₈.C₂²⋊₂C₁₄ = C₇×D₄.₁₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₂²	112	4	C8.C2^2:2C14	448,864
C₈.C₂²⋊₃C₁₄ = C₇×D₄.₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₂²	112	4	C8.C2^2:3C14	448,879
C₈.C₂²⋊₄C₁₄ = C₇×D₄○SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₂²	112	4	C8.C2^2:4C14	448,1360
C₈.C₂²⋊₅C₁₄ = C₇×Q₈○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₂²	224	4	C8.C2^2:5C14	448,1361
C₈.C₂²⋊₆C₁₄ = C₇×D₈⋊C₂²	φ: trivial image	112	4	C8.C2^2:6C14	448,1358

Non-split extensions G=N.Q with N=C₈.C₂² and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂².C₁₄ = C₇×D₄.₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₂²	224	4	C8.C2^2.C14	448,881

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁