Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₂×C₁₄

Direct product G=N×Q with N=C₁₆ and Q=C₂×C₁₄

		d	ρ	Label	ID
C₂²×C₁₁₂		448		C2^2xC112	448,910

Semidirect products G=N:Q with N=C₁₆ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊(C₂×C₁₄) = C₇×C₁₆⋊C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₆	112	4	C16:(C2xC14)	448,917
C₁₆⋊₂(C₂×C₁₄) = C₁₄×D₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	224		C16:2(C2xC14)	448,913
C₁₆⋊₃(C₂×C₁₄) = C₁₄×SD₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	224		C16:3(C2xC14)	448,914
C₁₆⋊₄(C₂×C₁₄) = C₁₄×M₅(2)	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	224		C16:4(C2xC14)	448,911

Non-split extensions G=N.Q with N=C₁₆ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.(C₂×C₁₄) = C₇×Q₃₂⋊C₂	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₆	224	4	C16.(C2xC14)	448,918
C₁₆.₂(C₂×C₁₄) = C₇×D₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	224	2	C16.2(C2xC14)	448,175
C₁₆.₃(C₂×C₁₄) = C₇×SD₆₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	224	2	C16.3(C2xC14)	448,176
C₁₆.₄(C₂×C₁₄) = C₇×Q₆₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	448	2	C16.4(C2xC14)	448,177
C₁₆.₅(C₂×C₁₄) = C₁₄×Q₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	448		C16.5(C2xC14)	448,915
C₁₆.₆(C₂×C₁₄) = C₇×C₄○D₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₆	224	2	C16.6(C2xC14)	448,916
C₁₆.₇(C₂×C₁₄) = C₇×M₆(2)	central extension (φ=1)	224	2	C16.7(C2xC14)	448,174
C₁₆.₈(C₂×C₁₄) = C₇×D₄○C₁₆	central extension (φ=1)	224	2	C16.8(C2xC14)	448,912

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁