Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈xC₁₄

Direct product G=NxQ with N=C₄ and Q=Q₈xC₁₄

		d	ρ	Label	ID
Q₈xC₂xC₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=C₄ and Q=Q₈xC₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(Q₈xC₁₄) = C₁₄xC₄:Q₈	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448		C4:1(Q8xC14)	448,1314
C₄:₂(Q₈xC₁₄) = C₇xD₄xQ₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	224		C4:2(Q8xC14)	448,1332

Non-split extensions G=N.Q with N=C₄ and Q=Q₈xC₁₄

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(Q₈xC₁₄) = C₁₄xC₄.Q₈	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448	C4.1(Q8xC14)	448,833
C₄.₂(Q₈xC₁₄) = C₁₄xC₂.D₈	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448	C4.2(Q8xC14)	448,834
C₄.₃(Q₈xC₁₄) = C₇xC₂³.₂₅D₄	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	224	C4.3(Q8xC14)	448,835
C₄.₄(Q₈xC₁₄) = C₇xM₄(2):C₄	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	224	C4.4(Q8xC14)	448,836
C₄.₅(Q₈xC₁₄) = C₇xC₈:₃Q₈	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448	C4.5(Q8xC14)	448,906
C₄.₆(Q₈xC₁₄) = C₇xC₈.₅Q₈	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448	C4.6(Q8xC14)	448,907
C₄.₇(Q₈xC₁₄) = C₇xC₈:₂Q₈	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448	C4.7(Q8xC14)	448,908
C₄.₈(Q₈xC₁₄) = C₇xC₈:Q₈	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448	C4.8(Q8xC14)	448,909
C₄.₉(Q₈xC₁₄) = C₁₄xC₄².C₂	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	448	C4.9(Q8xC14)	448,1310
C₄.₁₀(Q₈xC₁₄) = C₇xC₂³.₃₇C₂³	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	224	C4.10(Q8xC14)	448,1316
C₄.₁₁(Q₈xC₁₄) = C₇xC₂³.₄₁C₂³	φ: Q₈xC₁₄/C₂xC₂₈ → C₂ ⊆ Aut C₄	224	C4.11(Q8xC14)	448,1327
C₄.₁₂(Q₈xC₁₄) = C₇xD₄:Q₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	224	C4.12(Q8xC14)	448,882
C₄.₁₃(Q₈xC₁₄) = C₇xQ₈:Q₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	448	C4.13(Q8xC14)	448,883
C₄.₁₄(Q₈xC₁₄) = C₇xD₄:₂Q₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	224	C4.14(Q8xC14)	448,884
C₄.₁₅(Q₈xC₁₄) = C₇xC₄.Q₁₆	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	448	C4.15(Q8xC14)	448,885
C₄.₁₆(Q₈xC₁₄) = C₇xD₄.Q₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	224	C4.16(Q8xC14)	448,886
C₄.₁₇(Q₈xC₁₄) = C₇xQ₈.Q₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	448	C4.17(Q8xC14)	448,887
C₄.₁₈(Q₈xC₁₄) = C₇xD₄:₃Q₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	224	C4.18(Q8xC14)	448,1337
C₄.₁₉(Q₈xC₁₄) = C₇xQ₈:₃Q₈	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	448	C4.19(Q8xC14)	448,1340
C₄.₂₀(Q₈xC₁₄) = C₇xQ₈²	φ: Q₈xC₁₄/C₇xQ₈ → C₂ ⊆ Aut C₄	448	C4.20(Q8xC14)	448,1341
C₄.₂₁(Q₈xC₁₄) = C₁₄xC₄:C₈	central extension (φ=1)	448	C4.21(Q8xC14)	448,830
C₄.₂₂(Q₈xC₁₄) = C₇xC₄:M₄(2)	central extension (φ=1)	224	C4.22(Q8xC14)	448,831
C₄.₂₃(Q₈xC₁₄) = C₇xC₄².₆C₂²	central extension (φ=1)	224	C4.23(Q8xC14)	448,832
C₄.₂₄(Q₈xC₁₄) = Q₈xC₅₆	central extension (φ=1)	448	C4.24(Q8xC14)	448,853
C₄.₂₅(Q₈xC₁₄) = C₇xC₈:₄Q₈	central extension (φ=1)	448	C4.25(Q8xC14)	448,854

Extensions 1→N→G→Q→1 with N=C4 and Q=Q8xC14

Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈xC₁₄