Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂⁴

Direct product G=N×Q with N=C₁₄ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴×C₁₄		224		C2^4xC14	224,197

Semidirect products G=N:Q with N=C₁₄ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊C₂⁴ = D₇×C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14:C2^4	224,196

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁C₂⁴ = C₂²×Dic₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	224		C14.1C2^4	224,174
C₁₄.₂C₂⁴ = D₇×C₂²×C₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14.2C2^4	224,175
C₁₄.₃C₂⁴ = C₂²×D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14.3C2^4	224,176
C₁₄.₄C₂⁴ = C₂×C₄○D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14.4C2^4	224,177
C₁₄.₅C₂⁴ = C₂×D₄×D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	56		C14.5C2^4	224,178
C₁₄.₆C₂⁴ = C₂×D₄⋊₂D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14.6C2^4	224,179
C₁₄.₇C₂⁴ = D₄⋊₆D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	56	4	C14.7C2^4	224,180
C₁₄.₈C₂⁴ = C₂×Q₈×D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14.8C2^4	224,181
C₁₄.₉C₂⁴ = C₂×Q₈⋊₂D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14.9C2^4	224,182
C₁₄.₁₀C₂⁴ = Q₈.₁₀D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112	4	C14.10C2^4	224,183
C₁₄.₁₁C₂⁴ = D₇×C₄○D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	56	4	C14.11C2^4	224,184
C₁₄.₁₂C₂⁴ = D₄⋊₈D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	56	4+	C14.12C2^4	224,185
C₁₄.₁₃C₂⁴ = D₄.₁₀D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112	4-	C14.13C2^4	224,186
C₁₄.₁₄C₂⁴ = C₂³×Dic₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	224		C14.14C2^4	224,187
C₁₄.₁₅C₂⁴ = C₂²×C₇⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₄	112		C14.15C2^4	224,188
C₁₄.₁₆C₂⁴ = D₄×C₂×C₁₄	central extension (φ=1)	112		C14.16C2^4	224,190
C₁₄.₁₇C₂⁴ = Q₈×C₂×C₁₄	central extension (φ=1)	224		C14.17C2^4	224,191
C₁₄.₁₈C₂⁴ = C₁₄×C₄○D₄	central extension (φ=1)	112		C14.18C2^4	224,192
C₁₄.₁₉C₂⁴ = C₇×2₊¹⁺⁴	central extension (φ=1)	56	4	C14.19C2^4	224,193
C₁₄.₂₀C₂⁴ = C₇×2_-¹⁺⁴	central extension (φ=1)	112	4	C14.20C2^4	224,194

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C14 and Q=C24

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂⁴