Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄×C₁₄

Direct product G=N×Q with N=C₄ and Q=D₄×C₁₄

		d	ρ	Label	ID
D₄×C₂×C₂₈		224		D4xC2xC28	448,1298

Semidirect products G=N:Q with N=C₄ and Q=D₄×C₁₄

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(D₄×C₁₄) = C₁₄×C₄⋊₁D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224	C4:1(D4xC14)	448,1313
C₄⋊₂(D₄×C₁₄) = C₇×D₄²	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	C4:2(D4xC14)	448,1328
C₄⋊₃(D₄×C₁₄) = C₁₄×C₄⋊D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224	C4:3(D4xC14)	448,1305

Non-split extensions G=N.Q with N=C₄ and Q=D₄×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₄×C₁₄) = C₇×C₈⋊₅D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.1(D4xC14)	448,900
C₄.₂(D₄×C₁₄) = C₇×C₈⋊₄D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.2(D4xC14)	448,901
C₄.₃(D₄×C₁₄) = C₇×C₄⋊Q₁₆	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4.3(D4xC14)	448,902
C₄.₄(D₄×C₁₄) = C₇×C₈.₁₂D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.4(D4xC14)	448,903
C₄.₅(D₄×C₁₄) = C₇×C₈⋊₃D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.5(D4xC14)	448,904
C₄.₆(D₄×C₁₄) = C₇×C₈.₂D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.6(D4xC14)	448,905
C₄.₇(D₄×C₁₄) = C₁₄×D₁₆	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.7(D4xC14)	448,913
C₄.₈(D₄×C₁₄) = C₁₄×SD₃₂	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.8(D4xC14)	448,914
C₄.₉(D₄×C₁₄) = C₁₄×Q₃₂	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4.9(D4xC14)	448,915
C₄.₁₀(D₄×C₁₄) = C₇×C₄○D₁₆	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224	2	C4.10(D4xC14)	448,916
C₄.₁₁(D₄×C₁₄) = C₇×C₁₆⋊C₂²	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	112	4	C4.11(D4xC14)	448,917
C₄.₁₂(D₄×C₁₄) = C₇×Q₃₂⋊C₂	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224	4	C4.12(D4xC14)	448,918
C₄.₁₃(D₄×C₁₄) = C₁₄×C₄.₄D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.13(D4xC14)	448,1309
C₄.₁₄(D₄×C₁₄) = C₁₄×C₄⋊Q₈	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4.14(D4xC14)	448,1314
C₄.₁₅(D₄×C₁₄) = C₇×C₂².₂₆C₂⁴	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.15(D4xC14)	448,1315
C₄.₁₆(D₄×C₁₄) = C₇×C₂².₂₉C₂⁴	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	112		C4.16(D4xC14)	448,1318
C₄.₁₇(D₄×C₁₄) = C₇×C₂³.₃₈C₂³	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.17(D4xC14)	448,1319
C₄.₁₈(D₄×C₁₄) = D₈×C₂×C₁₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.18(D4xC14)	448,1352
C₄.₁₉(D₄×C₁₄) = SD₁₆×C₂×C₁₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.19(D4xC14)	448,1353
C₄.₂₀(D₄×C₁₄) = Q₁₆×C₂×C₁₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4.20(D4xC14)	448,1354
C₄.₂₁(D₄×C₁₄) = C₇×C₂²⋊D₈	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112		C4.21(D4xC14)	448,855
C₄.₂₂(D₄×C₁₄) = C₇×Q₈⋊D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.22(D4xC14)	448,856
C₄.₂₃(D₄×C₁₄) = C₇×D₄⋊D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.23(D4xC14)	448,857
C₄.₂₄(D₄×C₁₄) = C₇×C₂²⋊SD₁₆	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112		C4.24(D4xC14)	448,858
C₄.₂₅(D₄×C₁₄) = C₇×C₂²⋊Q₁₆	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.25(D4xC14)	448,859
C₄.₂₆(D₄×C₁₄) = C₇×D₄.₇D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.26(D4xC14)	448,860
C₄.₂₇(D₄×C₁₄) = C₇×D₄⋊₄D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	56	4	C4.27(D4xC14)	448,861
C₄.₂₈(D₄×C₁₄) = C₇×D₄.₈D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.28(D4xC14)	448,862
C₄.₂₉(D₄×C₁₄) = C₇×D₄.₉D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.29(D4xC14)	448,863
C₄.₃₀(D₄×C₁₄) = C₇×D₄.₁₀D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.30(D4xC14)	448,864
C₄.₃₁(D₄×C₁₄) = C₇×C₄⋊D₈	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.31(D4xC14)	448,867
C₄.₃₂(D₄×C₁₄) = C₇×C₄⋊SD₁₆	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.32(D4xC14)	448,868
C₄.₃₃(D₄×C₁₄) = C₇×D₄.D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.33(D4xC14)	448,869
C₄.₃₄(D₄×C₁₄) = C₇×C₄⋊₂Q₁₆	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	448		C4.34(D4xC14)	448,870
C₄.₃₅(D₄×C₁₄) = C₇×D₄.₂D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.35(D4xC14)	448,871
C₄.₃₆(D₄×C₁₄) = C₇×Q₈.D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.36(D4xC14)	448,872
C₄.₃₇(D₄×C₁₄) = C₇×D₄.₃D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.37(D4xC14)	448,879
C₄.₃₈(D₄×C₁₄) = C₇×D₄.₄D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.38(D4xC14)	448,880
C₄.₃₉(D₄×C₁₄) = C₇×D₄.₅D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224	4	C4.39(D4xC14)	448,881
C₄.₄₀(D₄×C₁₄) = C₇×D₄⋊₅D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112		C4.40(D4xC14)	448,1329
C₄.₄₁(D₄×C₁₄) = C₇×D₄⋊₆D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.41(D4xC14)	448,1330
C₄.₄₂(D₄×C₁₄) = C₇×Q₈⋊₅D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.42(D4xC14)	448,1331
C₄.₄₃(D₄×C₁₄) = C₇×D₄×Q₈	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.43(D4xC14)	448,1332
C₄.₄₄(D₄×C₁₄) = C₇×Q₈⋊₆D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.44(D4xC14)	448,1333
C₄.₄₅(D₄×C₁₄) = C₇×D₄○D₈	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.45(D4xC14)	448,1359
C₄.₄₆(D₄×C₁₄) = C₇×D₄○SD₁₆	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.46(D4xC14)	448,1360
C₄.₄₇(D₄×C₁₄) = C₇×Q₈○D₈	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₄	224	4	C4.47(D4xC14)	448,1361
C₄.₄₈(D₄×C₁₄) = C₁₄×C₄.D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112		C4.48(D4xC14)	448,819
C₄.₄₉(D₄×C₁₄) = C₁₄×C₄.₁₀D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.49(D4xC14)	448,820
C₄.₅₀(D₄×C₁₄) = C₇×M₄(2).₈C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112	4	C4.50(D4xC14)	448,821
C₄.₅₁(D₄×C₁₄) = C₁₄×D₄⋊C₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.51(D4xC14)	448,822
C₄.₅₂(D₄×C₁₄) = C₁₄×Q₈⋊C₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	448		C4.52(D4xC14)	448,823
C₄.₅₃(D₄×C₁₄) = C₇×C₂³.₂₄D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.53(D4xC14)	448,824
C₄.₅₄(D₄×C₁₄) = C₇×C₂³.₃₆D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.54(D4xC14)	448,825
C₄.₅₅(D₄×C₁₄) = C₇×C₂³.₃₇D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112		C4.55(D4xC14)	448,826
C₄.₅₆(D₄×C₁₄) = C₇×C₂³.₃₈D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.56(D4xC14)	448,827
C₄.₅₇(D₄×C₁₄) = C₇×C₈⋊₈D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.57(D4xC14)	448,873
C₄.₅₈(D₄×C₁₄) = C₇×C₈⋊₇D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.58(D4xC14)	448,874
C₄.₅₉(D₄×C₁₄) = C₇×C₈.₁₈D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.59(D4xC14)	448,875
C₄.₆₀(D₄×C₁₄) = C₇×C₈⋊D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.60(D4xC14)	448,876
C₄.₆₁(D₄×C₁₄) = C₇×C₈⋊₂D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.61(D4xC14)	448,877
C₄.₆₂(D₄×C₁₄) = C₇×C₈.D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.62(D4xC14)	448,878
C₄.₆₃(D₄×C₁₄) = C₁₄×C₂²⋊Q₈	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.63(D4xC14)	448,1306
C₄.₆₄(D₄×C₁₄) = C₇×C₂².₁₉C₂⁴	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112		C4.64(D4xC14)	448,1308
C₄.₆₅(D₄×C₁₄) = C₇×C₂².₃₁C₂⁴	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.65(D4xC14)	448,1320
C₄.₆₆(D₄×C₁₄) = C₁₄×C₈⋊C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112		C4.66(D4xC14)	448,1356
C₄.₆₇(D₄×C₁₄) = C₁₄×C₈.C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	224		C4.67(D4xC14)	448,1357
C₄.₆₈(D₄×C₁₄) = C₇×D₈⋊C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₄	112	4	C4.68(D4xC14)	448,1358
C₄.₆₉(D₄×C₁₄) = C₁₄×C₂²⋊C₈	central extension (φ=1)	224		C4.69(D4xC14)	448,814
C₄.₇₀(D₄×C₁₄) = C₇×C₂⁴.₄C₄	central extension (φ=1)	112		C4.70(D4xC14)	448,815
C₄.₇₁(D₄×C₁₄) = C₇×(C₂²×C₈)⋊C₂	central extension (φ=1)	224		C4.71(D4xC14)	448,816
C₄.₇₂(D₄×C₁₄) = C₁₄×C₄≀C₂	central extension (φ=1)	112		C4.72(D4xC14)	448,828
C₄.₇₃(D₄×C₁₄) = C₇×C₄²⋊C₂²	central extension (φ=1)	112	4	C4.73(D4xC14)	448,829
C₄.₇₄(D₄×C₁₄) = C₁₄×C₄⋊C₈	central extension (φ=1)	448		C4.74(D4xC14)	448,830
C₄.₇₅(D₄×C₁₄) = C₇×C₄⋊M₄(2)	central extension (φ=1)	224		C4.75(D4xC14)	448,831
C₄.₇₆(D₄×C₁₄) = C₇×C₄².₆C₂²	central extension (φ=1)	224		C4.76(D4xC14)	448,832
C₄.₇₇(D₄×C₁₄) = C₁₄×C₈.C₄	central extension (φ=1)	224		C4.77(D4xC14)	448,837
C₄.₇₈(D₄×C₁₄) = C₇×M₄(2).C₄	central extension (φ=1)	112	4	C4.78(D4xC14)	448,838
C₄.₇₉(D₄×C₁₄) = D₄×C₅₆	central extension (φ=1)	224		C4.79(D4xC14)	448,842
C₄.₈₀(D₄×C₁₄) = C₇×C₈⋊₉D₄	central extension (φ=1)	224		C4.80(D4xC14)	448,843
C₄.₈₁(D₄×C₁₄) = C₇×C₈⋊₆D₄	central extension (φ=1)	224		C4.81(D4xC14)	448,844
C₄.₈₂(D₄×C₁₄) = C₇×C₈○D₈	central extension (φ=1)	112	2	C4.82(D4xC14)	448,851
C₄.₈₃(D₄×C₁₄) = C₇×C₈.₂₆D₄	central extension (φ=1)	112	4	C4.83(D4xC14)	448,852
C₄.₈₄(D₄×C₁₄) = C₁₄×C₄○D₈	central extension (φ=1)	224		C4.84(D4xC14)	448,1355

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Extensions 1→N→G→Q→1 with N=C4 and Q=D4×C14

Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄×C₁₄