Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂xC₁₄

Direct product G=NxQ with N=C₂³ and Q=C₂xC₁₄

		d	ρ	Label	ID
C₂⁴xC₁₄		224		C2^4xC14	224,197

Semidirect products G=N:Q with N=C₂³ and Q=C₂xC₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₂xC₁₄) = C₂²xF₈	φ: C₂xC₁₄/C₂² → C₇ ⊆ Aut C₂³	28		C2^3:(C2xC14)	224,195
C₂³:₂(C₂xC₁₄) = C₇xC₂²wrC₂	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₂³	56		C2^3:2(C2xC14)	224,155
C₂³:₃(C₂xC₁₄) = C₇x2₊¹⁺⁴	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₂³	56	4	C2^3:3(C2xC14)	224,193
C₂³:₄(C₂xC₁₄) = D₄xC₂xC₁₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3:4(C2xC14)	224,190

Non-split extensions G=N.Q with N=C₂³ and Q=C₂xC₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₂xC₁₄) = C₇xC₂³:C₄	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₂³	56	4	C2^3.1(C2xC14)	224,48
C₂³.₂(C₂xC₁₄) = C₇xC₄.₄D₄	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₂³	112		C2^3.2(C2xC14)	224,159
C₂³.₃(C₂xC₁₄) = C₇xC₄²:₂C₂	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₂³	112		C2^3.3(C2xC14)	224,161
C₂³.₄(C₂xC₁₄) = C₇xC₄:₁D₄	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₂³	112		C2^3.4(C2xC14)	224,162
C₂³.₅(C₂xC₁₄) = C₁₄xC₂²:C₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.5(C2xC14)	224,150
C₂³.₆(C₂xC₁₄) = C₇xC₄²:C₂	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.6(C2xC14)	224,152
C₂³.₇(C₂xC₁₄) = D₄xC₂₈	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.7(C2xC14)	224,153
C₂³.₈(C₂xC₁₄) = C₇xC₄:D₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.8(C2xC14)	224,156
C₂³.₉(C₂xC₁₄) = C₇xC₂²:Q₈	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.9(C2xC14)	224,157
C₂³.₁₀(C₂xC₁₄) = C₇xC₂².D₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.10(C2xC14)	224,158
C₂³.₁₁(C₂xC₁₄) = C₁₄xC₄oD₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.11(C2xC14)	224,192
C₂³.₁₂(C₂xC₁₄) = C₇xC₂.C₄²	central extension (φ=1)	224		C2^3.12(C2xC14)	224,44
C₂³.₁₃(C₂xC₁₄) = C₁₄xC₄:C₄	central extension (φ=1)	224		C2^3.13(C2xC14)	224,151
C₂³.₁₄(C₂xC₁₄) = Q₈xC₂xC₁₄	central extension (φ=1)	224		C2^3.14(C2xC14)	224,191

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