Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×Q₁₆

Direct product G=N×Q with N=C₁₄ and Q=C₂×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂×C₁₄		448		Q16xC2xC14	448,1354

Semidirect products G=N:Q with N=C₁₄ and Q=C₂×Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₁₄⋊₁(C₂×Q₁₆) = C₂²×Dic₂₈	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14:1(C2xQ16)	448,1195
C₁₄⋊₂(C₂×Q₁₆) = C₂×D₇×Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14:2(C2xQ16)	448,1216
C₁₄⋊₃(C₂×Q₁₆) = C₂²×C₇⋊Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14:3(C2xQ16)	448,1262

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂×Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₁₄.₁(C₂×Q₁₆) = C₂₈.₁₄Q₁₆	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.1(C2xQ16)	448,215
C₁₄.₂(C₂×Q₁₆) = C₅₆⋊₈Q₈	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.2(C2xQ16)	448,216
C₁₄.₃(C₂×Q₁₆) = C₄×Dic₂₈	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.3(C2xQ16)	448,232
C₁₄.₄(C₂×Q₁₆) = C₂₈⋊₄Q₁₆	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.4(C2xQ16)	448,233
C₁₄.₅(C₂×Q₁₆) = C₂³.₃₅D₂₈	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.5(C2xQ16)	448,256
C₁₄.₆(C₂×Q₁₆) = C₂²⋊Dic₂₈	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.6(C2xQ16)	448,273
C₁₄.₇(C₂×Q₁₆) = C₄⋊Dic₂₈	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.7(C2xQ16)	448,383
C₁₄.₈(C₂×Q₁₆) = C₂₈.₇Q₁₆	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.8(C2xQ16)	448,384
C₁₄.₉(C₂×Q₁₆) = C₂×C₂₈.₄₄D₄	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.9(C2xQ16)	448,637
C₁₄.₁₀(C₂×Q₁₆) = C₂×C₅₆⋊₁C₄	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	448	C14.10(C2xQ16)	448,639
C₁₄.₁₁(C₂×Q₁₆) = C₅₆.₈₂D₄	φ: C₂×Q₁₆/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	C14.11(C2xQ16)	448,650
C₁₄.₁₂(C₂×Q₁₆) = Dic₇⋊₄Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.12(C2xQ16)	448,324
C₁₄.₁₃(C₂×Q₁₆) = Dic₇.₁Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.13(C2xQ16)	448,326
C₁₄.₁₄(C₂×Q₁₆) = Dic₇⋊Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.14(C2xQ16)	448,327
C₁₄.₁₅(C₂×Q₁₆) = Dic₇.Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.15(C2xQ16)	448,328
C₁₄.₁₆(C₂×Q₁₆) = D₇×Q₈⋊C₄	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.16(C2xQ16)	448,335
C₁₄.₁₇(C₂×Q₁₆) = D₁₄⋊₄Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.17(C2xQ16)	448,342
C₁₄.₁₈(C₂×Q₁₆) = D₁₄.Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.18(C2xQ16)	448,343
C₁₄.₁₉(C₂×Q₁₆) = D₁₄⋊Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.19(C2xQ16)	448,347
C₁₄.₂₀(C₂×Q₁₆) = Dic₂₈⋊₆C₄	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.20(C2xQ16)	448,407
C₁₄.₂₁(C₂×Q₁₆) = C₅₆⋊₂Q₈	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.21(C2xQ16)	448,408
C₁₄.₂₂(C₂×Q₁₆) = Dic₁₄⋊₂Q₈	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.22(C2xQ16)	448,409
C₁₄.₂₃(C₂×Q₁₆) = D₇×C₂.D₈	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.23(C2xQ16)	448,413
C₁₄.₂₄(C₂×Q₁₆) = D₁₄.₂Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.24(C2xQ16)	448,418
C₁₄.₂₅(C₂×Q₁₆) = D₁₄⋊₂Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.25(C2xQ16)	448,421
C₁₄.₂₆(C₂×Q₁₆) = C₅₆.₂₆D₄	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.26(C2xQ16)	448,715
C₁₄.₂₇(C₂×Q₁₆) = Dic₇⋊₃Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.27(C2xQ16)	448,716
C₁₄.₂₈(C₂×Q₁₆) = Q₁₆×Dic₇	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	448	C14.28(C2xQ16)	448,717
C₁₄.₂₉(C₂×Q₁₆) = D₁₄⋊₅Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.29(C2xQ16)	448,720
C₁₄.₃₀(C₂×Q₁₆) = D₁₄⋊₃Q₁₆	φ: C₂×Q₁₆/Q₁₆ → C₂ ⊆ Aut C₁₄	224	C14.30(C2xQ16)	448,722
C₁₄.₃₁(C₂×Q₁₆) = C₂×C₂₈.Q₈	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.31(C2xQ16)	448,496
C₁₄.₃₂(C₂×Q₁₆) = C₂×C₁₄.Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.32(C2xQ16)	448,503
C₁₄.₃₃(C₂×Q₁₆) = C₄⋊C₄.₂₃₀D₁₄	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	224	C14.33(C2xQ16)	448,504
C₁₄.₃₄(C₂×Q₁₆) = C₂₈.₂₃Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.34(C2xQ16)	448,555
C₁₄.₃₅(C₂×Q₁₆) = C₄×C₇⋊Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.35(C2xQ16)	448,563
C₁₄.₃₆(C₂×Q₁₆) = C₂₈⋊₇Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.36(C2xQ16)	448,565
C₁₄.₃₇(C₂×Q₁₆) = (C₂×C₁₄).Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	224	C14.37(C2xQ16)	448,578
C₁₄.₃₈(C₂×Q₁₆) = Dic₁₄.₃₇D₄	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	224	C14.38(C2xQ16)	448,584
C₁₄.₃₉(C₂×Q₁₆) = C₇⋊C₈.₂₉D₄	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	224	C14.39(C2xQ16)	448,585
C₁₄.₄₀(C₂×Q₁₆) = C₂₈.₁₇D₈	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.40(C2xQ16)	448,612
C₁₄.₄₁(C₂×Q₁₆) = C₂₈.Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.41(C2xQ16)	448,615
C₁₄.₄₂(C₂×Q₁₆) = C₂₈⋊Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.42(C2xQ16)	448,624
C₁₄.₄₃(C₂×Q₁₆) = Dic₁₄⋊₅Q₈	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.43(C2xQ16)	448,625
C₁₄.₄₄(C₂×Q₁₆) = C₂₈⋊₃Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.44(C2xQ16)	448,626
C₁₄.₄₅(C₂×Q₁₆) = C₂₈.₁₁Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.45(C2xQ16)	448,627
C₁₄.₄₆(C₂×Q₁₆) = C₂×Q₈⋊Dic₇	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	448	C14.46(C2xQ16)	448,758
C₁₄.₄₇(C₂×Q₁₆) = (C₂×C₁₄)⋊₈Q₁₆	φ: C₂×Q₁₆/C₂×Q₈ → C₂ ⊆ Aut C₁₄	224	C14.47(C2xQ16)	448,762
C₁₄.₄₈(C₂×Q₁₆) = C₁₄×Q₈⋊C₄	central extension (φ=1)	448	C14.48(C2xQ16)	448,823
C₁₄.₄₉(C₂×Q₁₆) = C₁₄×C₂.D₈	central extension (φ=1)	448	C14.49(C2xQ16)	448,834
C₁₄.₅₀(C₂×Q₁₆) = Q₁₆×C₂₈	central extension (φ=1)	448	C14.50(C2xQ16)	448,847
C₁₄.₅₁(C₂×Q₁₆) = C₇×C₂²⋊Q₁₆	central extension (φ=1)	224	C14.51(C2xQ16)	448,859
C₁₄.₅₂(C₂×Q₁₆) = C₇×C₄⋊₂Q₁₆	central extension (φ=1)	448	C14.52(C2xQ16)	448,870
C₁₄.₅₃(C₂×Q₁₆) = C₇×C₈.₁₈D₄	central extension (φ=1)	224	C14.53(C2xQ16)	448,875
C₁₄.₅₄(C₂×Q₁₆) = C₇×C₄.Q₁₆	central extension (φ=1)	448	C14.54(C2xQ16)	448,885
C₁₄.₅₅(C₂×Q₁₆) = C₇×C₂³.₄₈D₄	central extension (φ=1)	224	C14.55(C2xQ16)	448,892
C₁₄.₅₆(C₂×Q₁₆) = C₇×C₄.SD₁₆	central extension (φ=1)	448	C14.56(C2xQ16)	448,895
C₁₄.₅₇(C₂×Q₁₆) = C₇×C₄⋊Q₁₆	central extension (φ=1)	448	C14.57(C2xQ16)	448,902
C₁₄.₅₈(C₂×Q₁₆) = C₇×C₈⋊₂Q₈	central extension (φ=1)	448	C14.58(C2xQ16)	448,908

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Extensions 1→N→G→Q→1 with N=C14 and Q=C2×Q16

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×Q₁₆