Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₁₄

Direct product G=N×Q with N=C₄ and Q=Q₈×C₁₄

		d	ρ	Label	ID
Q₈×C₂×C₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=C₄ and Q=Q₈×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(Q₈×C₁₄) = C₁₄×C₄⋊Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4:1(Q8xC14)	448,1314
C₄⋊₂(Q₈×C₁₄) = C₇×D₄×Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	224		C4:2(Q8xC14)	448,1332

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×C₁₄

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(Q₈×C₁₄) = C₁₄×C₄.Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448	C4.1(Q8xC14)	448,833
C₄.₂(Q₈×C₁₄) = C₁₄×C₂.D₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448	C4.2(Q8xC14)	448,834
C₄.₃(Q₈×C₁₄) = C₇×C₂³.₂₅D₄	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224	C4.3(Q8xC14)	448,835
C₄.₄(Q₈×C₁₄) = C₇×M₄(2)⋊C₄	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224	C4.4(Q8xC14)	448,836
C₄.₅(Q₈×C₁₄) = C₇×C₈⋊₃Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448	C4.5(Q8xC14)	448,906
C₄.₆(Q₈×C₁₄) = C₇×C₈.₅Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448	C4.6(Q8xC14)	448,907
C₄.₇(Q₈×C₁₄) = C₇×C₈⋊₂Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448	C4.7(Q8xC14)	448,908
C₄.₈(Q₈×C₁₄) = C₇×C₈⋊Q₈	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448	C4.8(Q8xC14)	448,909
C₄.₉(Q₈×C₁₄) = C₁₄×C₄².C₂	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448	C4.9(Q8xC14)	448,1310
C₄.₁₀(Q₈×C₁₄) = C₇×C₂³.₃₇C₂³	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224	C4.10(Q8xC14)	448,1316
C₄.₁₁(Q₈×C₁₄) = C₇×C₂³.₄₁C₂³	φ: Q₈×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224	C4.11(Q8xC14)	448,1327
C₄.₁₂(Q₈×C₁₄) = C₇×D₄⋊Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	224	C4.12(Q8xC14)	448,882
C₄.₁₃(Q₈×C₁₄) = C₇×Q₈⋊Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	448	C4.13(Q8xC14)	448,883
C₄.₁₄(Q₈×C₁₄) = C₇×D₄⋊₂Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	224	C4.14(Q8xC14)	448,884
C₄.₁₅(Q₈×C₁₄) = C₇×C₄.Q₁₆	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	448	C4.15(Q8xC14)	448,885
C₄.₁₆(Q₈×C₁₄) = C₇×D₄.Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	224	C4.16(Q8xC14)	448,886
C₄.₁₇(Q₈×C₁₄) = C₇×Q₈.Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	448	C4.17(Q8xC14)	448,887
C₄.₁₈(Q₈×C₁₄) = C₇×D₄⋊₃Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	224	C4.18(Q8xC14)	448,1337
C₄.₁₉(Q₈×C₁₄) = C₇×Q₈⋊₃Q₈	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	448	C4.19(Q8xC14)	448,1340
C₄.₂₀(Q₈×C₁₄) = C₇×Q₈²	φ: Q₈×C₁₄/C₇×Q₈ → C₂ ⊆ Aut C₄	448	C4.20(Q8xC14)	448,1341
C₄.₂₁(Q₈×C₁₄) = C₁₄×C₄⋊C₈	central extension (φ=1)	448	C4.21(Q8xC14)	448,830
C₄.₂₂(Q₈×C₁₄) = C₇×C₄⋊M₄(2)	central extension (φ=1)	224	C4.22(Q8xC14)	448,831
C₄.₂₃(Q₈×C₁₄) = C₇×C₄².₆C₂²	central extension (φ=1)	224	C4.23(Q8xC14)	448,832
C₄.₂₄(Q₈×C₁₄) = Q₈×C₅₆	central extension (φ=1)	448	C4.24(Q8xC14)	448,853
C₄.₂₅(Q₈×C₁₄) = C₇×C₈⋊₄Q₈	central extension (φ=1)	448	C4.25(Q8xC14)	448,854

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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8×C14

Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₁₄