Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄×C₁₄

Direct product G=N×Q with N=C₂² and Q=D₄×C₁₄

		d	ρ	Label	ID
D₄×C₂²×C₁₄		224		D4xC2^2xC14	448,1386

Semidirect products G=N:Q with N=C₂² and Q=D₄×C₁₄

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(D₄×C₁₄) = C₁₄×C₄⋊D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224	C2^2:1(D4xC14)	448,1305
C₂²⋊₂(D₄×C₁₄) = C₇×D₄²	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112	C2^2:2(D4xC14)	448,1328
C₂²⋊₃(D₄×C₁₄) = C₁₄×C₂²≀C₂	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	C2^2:3(D4xC14)	448,1304

Non-split extensions G=N.Q with N=C₂² and Q=D₄×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄×C₁₄) = C₇×C₂².₂₆C₂⁴	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.1(D4xC14)	448,1315
C₂².₂(D₄×C₁₄) = C₇×C₂³⋊₃D₄	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2.2(D4xC14)	448,1317
C₂².₃(D₄×C₁₄) = C₇×C₂².₃₁C₂⁴	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.3(D4xC14)	448,1320
C₂².₄(D₄×C₁₄) = C₁₄×C₄○D₈	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.4(D4xC14)	448,1355
C₂².₅(D₄×C₁₄) = C₇×D₄⋊₅D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112		C2^2.5(D4xC14)	448,1329
C₂².₆(D₄×C₁₄) = C₇×D₄⋊₆D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₂²	224		C2^2.6(D4xC14)	448,1330
C₂².₇(D₄×C₁₄) = C₇×D₄○D₈	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.7(D4xC14)	448,1359
C₂².₈(D₄×C₁₄) = C₇×D₄○SD₁₆	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.8(D4xC14)	448,1360
C₂².₉(D₄×C₁₄) = C₇×Q₈○D₈	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₂²	224	4	C2^2.9(D4xC14)	448,1361
C₂².₁₀(D₄×C₁₄) = C₁₄×C₂³⋊C₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.10(D4xC14)	448,817
C₂².₁₁(D₄×C₁₄) = C₇×C₂³.C₂³	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.11(D4xC14)	448,818
C₂².₁₂(D₄×C₁₄) = C₁₄×C₄≀C₂	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.12(D4xC14)	448,828
C₂².₁₃(D₄×C₁₄) = C₇×C₄²⋊C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.13(D4xC14)	448,829
C₂².₁₄(D₄×C₁₄) = C₇×D₄⋊₄D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.14(D4xC14)	448,861
C₂².₁₅(D₄×C₁₄) = C₇×D₄.₈D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.15(D4xC14)	448,862
C₂².₁₆(D₄×C₁₄) = C₇×D₄.₉D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.16(D4xC14)	448,863
C₂².₁₇(D₄×C₁₄) = C₇×D₄.₁₀D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.17(D4xC14)	448,864
C₂².₁₈(D₄×C₁₄) = C₇×C₂≀C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.18(D4xC14)	448,865
C₂².₁₉(D₄×C₁₄) = C₇×C₂³.₇D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.19(D4xC14)	448,866
C₂².₂₀(D₄×C₁₄) = C₇×C₂².₁₉C₂⁴	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.20(D4xC14)	448,1308
C₂².₂₁(D₄×C₁₄) = C₇×C₂².₂₉C₂⁴	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.21(D4xC14)	448,1318
C₂².₂₂(D₄×C₁₄) = C₇×C₂³.₃₈C₂³	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.22(D4xC14)	448,1319
C₂².₂₃(D₄×C₁₄) = C₁₄×C₈⋊C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.23(D4xC14)	448,1356
C₂².₂₄(D₄×C₁₄) = C₁₄×C₈.C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.24(D4xC14)	448,1357
C₂².₂₅(D₄×C₁₄) = C₇×D₈⋊C₂²	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.25(D4xC14)	448,1358
C₂².₂₆(D₄×C₁₄) = C₁₄×C₂.C₄²	central extension (φ=1)	448		C2^2.26(D4xC14)	448,783
C₂².₂₇(D₄×C₁₄) = C₂²⋊C₄×C₂₈	central extension (φ=1)	224		C2^2.27(D4xC14)	448,785
C₂².₂₈(D₄×C₁₄) = C₄⋊C₄×C₂₈	central extension (φ=1)	448		C2^2.28(D4xC14)	448,786
C₂².₂₉(D₄×C₁₄) = C₇×C₂⁴⋊₃C₄	central extension (φ=1)	112		C2^2.29(D4xC14)	448,787
C₂².₃₀(D₄×C₁₄) = C₇×C₂³.₇Q₈	central extension (φ=1)	224		C2^2.30(D4xC14)	448,788
C₂².₃₁(D₄×C₁₄) = C₇×C₂³.₃₄D₄	central extension (φ=1)	224		C2^2.31(D4xC14)	448,789
C₂².₃₂(D₄×C₁₄) = C₇×C₄²⋊₈C₄	central extension (φ=1)	448		C2^2.32(D4xC14)	448,790
C₂².₃₃(D₄×C₁₄) = C₇×C₄²⋊₉C₄	central extension (φ=1)	448		C2^2.33(D4xC14)	448,792
C₂².₃₄(D₄×C₁₄) = C₇×C₂³.₈Q₈	central extension (φ=1)	224		C2^2.34(D4xC14)	448,793
C₂².₃₅(D₄×C₁₄) = C₇×C₂³.₂₃D₄	central extension (φ=1)	224		C2^2.35(D4xC14)	448,794
C₂².₃₆(D₄×C₁₄) = C₇×C₂³.₆₃C₂³	central extension (φ=1)	448		C2^2.36(D4xC14)	448,795
C₂².₃₇(D₄×C₁₄) = C₇×C₂⁴.C₂²	central extension (φ=1)	224		C2^2.37(D4xC14)	448,796
C₂².₃₈(D₄×C₁₄) = C₇×C₂³.₆₅C₂³	central extension (φ=1)	448		C2^2.38(D4xC14)	448,797
C₂².₃₉(D₄×C₁₄) = C₇×C₂⁴.₃C₂²	central extension (φ=1)	224		C2^2.39(D4xC14)	448,798
C₂².₄₀(D₄×C₁₄) = C₇×C₂³.₆₇C₂³	central extension (φ=1)	448		C2^2.40(D4xC14)	448,799
C₂².₄₁(D₄×C₁₄) = C₁₄×D₄⋊C₄	central extension (φ=1)	224		C2^2.41(D4xC14)	448,822
C₂².₄₂(D₄×C₁₄) = C₁₄×Q₈⋊C₄	central extension (φ=1)	448		C2^2.42(D4xC14)	448,823
C₂².₄₃(D₄×C₁₄) = C₇×C₂³.₂₄D₄	central extension (φ=1)	224		C2^2.43(D4xC14)	448,824
C₂².₄₄(D₄×C₁₄) = C₇×C₂³.₃₆D₄	central extension (φ=1)	224		C2^2.44(D4xC14)	448,825
C₂².₄₅(D₄×C₁₄) = C₇×C₂³.₃₇D₄	central extension (φ=1)	112		C2^2.45(D4xC14)	448,826
C₂².₄₆(D₄×C₁₄) = C₇×C₂³.₃₈D₄	central extension (φ=1)	224		C2^2.46(D4xC14)	448,827
C₂².₄₇(D₄×C₁₄) = C₁₄×C₄.Q₈	central extension (φ=1)	448		C2^2.47(D4xC14)	448,833
C₂².₄₈(D₄×C₁₄) = C₁₄×C₂.D₈	central extension (φ=1)	448		C2^2.48(D4xC14)	448,834
C₂².₄₉(D₄×C₁₄) = C₇×C₂³.₂₅D₄	central extension (φ=1)	224		C2^2.49(D4xC14)	448,835
C₂².₅₀(D₄×C₁₄) = C₇×M₄(2)⋊C₄	central extension (φ=1)	224		C2^2.50(D4xC14)	448,836
C₂².₅₁(D₄×C₁₄) = D₈×C₂₈	central extension (φ=1)	224		C2^2.51(D4xC14)	448,845
C₂².₅₂(D₄×C₁₄) = SD₁₆×C₂₈	central extension (φ=1)	224		C2^2.52(D4xC14)	448,846
C₂².₅₃(D₄×C₁₄) = Q₁₆×C₂₈	central extension (φ=1)	448		C2^2.53(D4xC14)	448,847
C₂².₅₄(D₄×C₁₄) = C₇×SD₁₆⋊C₄	central extension (φ=1)	224		C2^2.54(D4xC14)	448,848
C₂².₅₅(D₄×C₁₄) = C₇×Q₁₆⋊C₄	central extension (φ=1)	448		C2^2.55(D4xC14)	448,849
C₂².₅₆(D₄×C₁₄) = C₇×D₈⋊C₄	central extension (φ=1)	224		C2^2.56(D4xC14)	448,850
C₂².₅₇(D₄×C₁₄) = C₂²⋊C₄×C₂×C₁₄	central extension (φ=1)	224		C2^2.57(D4xC14)	448,1295
C₂².₅₈(D₄×C₁₄) = C₄⋊C₄×C₂×C₁₄	central extension (φ=1)	448		C2^2.58(D4xC14)	448,1296
C₂².₅₉(D₄×C₁₄) = D₄×C₂×C₂₈	central extension (φ=1)	224		C2^2.59(D4xC14)	448,1298
C₂².₆₀(D₄×C₁₄) = C₁₄×C₂²⋊Q₈	central extension (φ=1)	224		C2^2.60(D4xC14)	448,1306
C₂².₆₁(D₄×C₁₄) = C₁₄×C₂².D₄	central extension (φ=1)	224		C2^2.61(D4xC14)	448,1307
C₂².₆₂(D₄×C₁₄) = C₁₄×C₄.₄D₄	central extension (φ=1)	224		C2^2.62(D4xC14)	448,1309
C₂².₆₃(D₄×C₁₄) = C₁₄×C₄⋊₁D₄	central extension (φ=1)	224		C2^2.63(D4xC14)	448,1313
C₂².₆₄(D₄×C₁₄) = C₁₄×C₄⋊Q₈	central extension (φ=1)	448		C2^2.64(D4xC14)	448,1314
C₂².₆₅(D₄×C₁₄) = D₈×C₂×C₁₄	central extension (φ=1)	224		C2^2.65(D4xC14)	448,1352
C₂².₆₆(D₄×C₁₄) = SD₁₆×C₂×C₁₄	central extension (φ=1)	224		C2^2.66(D4xC14)	448,1353
C₂².₆₇(D₄×C₁₄) = Q₁₆×C₂×C₁₄	central extension (φ=1)	448		C2^2.67(D4xC14)	448,1354
C₂².₆₈(D₄×C₁₄) = C₇×C₂³⋊₂D₄	central stem extension (φ=1)	224		C2^2.68(D4xC14)	448,800
C₂².₆₉(D₄×C₁₄) = C₇×C₂³⋊Q₈	central stem extension (φ=1)	224		C2^2.69(D4xC14)	448,801
C₂².₇₀(D₄×C₁₄) = C₇×C₂³.₁₀D₄	central stem extension (φ=1)	224		C2^2.70(D4xC14)	448,802
C₂².₇₁(D₄×C₁₄) = C₇×C₂³.₇₈C₂³	central stem extension (φ=1)	448		C2^2.71(D4xC14)	448,803
C₂².₇₂(D₄×C₁₄) = C₇×C₂³.Q₈	central stem extension (φ=1)	224		C2^2.72(D4xC14)	448,804
C₂².₇₃(D₄×C₁₄) = C₇×C₂³.₁₁D₄	central stem extension (φ=1)	224		C2^2.73(D4xC14)	448,805
C₂².₇₄(D₄×C₁₄) = C₇×C₂³.₈₁C₂³	central stem extension (φ=1)	448		C2^2.74(D4xC14)	448,806
C₂².₇₅(D₄×C₁₄) = C₇×C₂³.₄Q₈	central stem extension (φ=1)	224		C2^2.75(D4xC14)	448,807
C₂².₇₆(D₄×C₁₄) = C₇×C₂³.₈₃C₂³	central stem extension (φ=1)	448		C2^2.76(D4xC14)	448,808
C₂².₇₇(D₄×C₁₄) = C₇×C₂²⋊D₈	central stem extension (φ=1)	112		C2^2.77(D4xC14)	448,855
C₂².₇₈(D₄×C₁₄) = C₇×Q₈⋊D₄	central stem extension (φ=1)	224		C2^2.78(D4xC14)	448,856
C₂².₇₉(D₄×C₁₄) = C₇×D₄⋊D₄	central stem extension (φ=1)	224		C2^2.79(D4xC14)	448,857
C₂².₈₀(D₄×C₁₄) = C₇×C₂²⋊SD₁₆	central stem extension (φ=1)	112		C2^2.80(D4xC14)	448,858
C₂².₈₁(D₄×C₁₄) = C₇×C₂²⋊Q₁₆	central stem extension (φ=1)	224		C2^2.81(D4xC14)	448,859
C₂².₈₂(D₄×C₁₄) = C₇×D₄.₇D₄	central stem extension (φ=1)	224		C2^2.82(D4xC14)	448,860
C₂².₈₃(D₄×C₁₄) = C₇×C₄⋊D₈	central stem extension (φ=1)	224		C2^2.83(D4xC14)	448,867
C₂².₈₄(D₄×C₁₄) = C₇×C₄⋊SD₁₆	central stem extension (φ=1)	224		C2^2.84(D4xC14)	448,868
C₂².₈₅(D₄×C₁₄) = C₇×D₄.D₄	central stem extension (φ=1)	224		C2^2.85(D4xC14)	448,869
C₂².₈₆(D₄×C₁₄) = C₇×C₄⋊₂Q₁₆	central stem extension (φ=1)	448		C2^2.86(D4xC14)	448,870
C₂².₈₇(D₄×C₁₄) = C₇×D₄.₂D₄	central stem extension (φ=1)	224		C2^2.87(D4xC14)	448,871
C₂².₈₈(D₄×C₁₄) = C₇×Q₈.D₄	central stem extension (φ=1)	224		C2^2.88(D4xC14)	448,872
C₂².₈₉(D₄×C₁₄) = C₇×C₈⋊₈D₄	central stem extension (φ=1)	224		C2^2.89(D4xC14)	448,873
C₂².₉₀(D₄×C₁₄) = C₇×C₈⋊₇D₄	central stem extension (φ=1)	224		C2^2.90(D4xC14)	448,874
C₂².₉₁(D₄×C₁₄) = C₇×C₈.₁₈D₄	central stem extension (φ=1)	224		C2^2.91(D4xC14)	448,875
C₂².₉₂(D₄×C₁₄) = C₇×C₈⋊D₄	central stem extension (φ=1)	224		C2^2.92(D4xC14)	448,876
C₂².₉₃(D₄×C₁₄) = C₇×C₈⋊₂D₄	central stem extension (φ=1)	224		C2^2.93(D4xC14)	448,877
C₂².₉₄(D₄×C₁₄) = C₇×C₈.D₄	central stem extension (φ=1)	224		C2^2.94(D4xC14)	448,878
C₂².₉₅(D₄×C₁₄) = C₇×D₄⋊Q₈	central stem extension (φ=1)	224		C2^2.95(D4xC14)	448,882
C₂².₉₆(D₄×C₁₄) = C₇×Q₈⋊Q₈	central stem extension (φ=1)	448		C2^2.96(D4xC14)	448,883
C₂².₉₇(D₄×C₁₄) = C₇×D₄⋊₂Q₈	central stem extension (φ=1)	224		C2^2.97(D4xC14)	448,884
C₂².₉₈(D₄×C₁₄) = C₇×C₄.Q₁₆	central stem extension (φ=1)	448		C2^2.98(D4xC14)	448,885
C₂².₉₉(D₄×C₁₄) = C₇×D₄.Q₈	central stem extension (φ=1)	224		C2^2.99(D4xC14)	448,886
C₂².₁₀₀(D₄×C₁₄) = C₇×Q₈.Q₈	central stem extension (φ=1)	448		C2^2.100(D4xC14)	448,887
C₂².₁₀₁(D₄×C₁₄) = C₇×C₂².D₈	central stem extension (φ=1)	224		C2^2.101(D4xC14)	448,888
C₂².₁₀₂(D₄×C₁₄) = C₇×C₂³.₄₆D₄	central stem extension (φ=1)	224		C2^2.102(D4xC14)	448,889
C₂².₁₀₃(D₄×C₁₄) = C₇×C₂³.₁₉D₄	central stem extension (φ=1)	224		C2^2.103(D4xC14)	448,890
C₂².₁₀₄(D₄×C₁₄) = C₇×C₂³.₄₇D₄	central stem extension (φ=1)	224		C2^2.104(D4xC14)	448,891
C₂².₁₀₅(D₄×C₁₄) = C₇×C₂³.₄₈D₄	central stem extension (φ=1)	224		C2^2.105(D4xC14)	448,892
C₂².₁₀₆(D₄×C₁₄) = C₇×C₂³.₂₀D₄	central stem extension (φ=1)	224		C2^2.106(D4xC14)	448,893
C₂².₁₀₇(D₄×C₁₄) = C₇×C₄.₄D₈	central stem extension (φ=1)	224		C2^2.107(D4xC14)	448,894
C₂².₁₀₈(D₄×C₁₄) = C₇×C₄.SD₁₆	central stem extension (φ=1)	448		C2^2.108(D4xC14)	448,895
C₂².₁₀₉(D₄×C₁₄) = C₇×C₄².₇₈C₂²	central stem extension (φ=1)	224		C2^2.109(D4xC14)	448,896
C₂².₁₁₀(D₄×C₁₄) = C₇×C₄².₂₈C₂²	central stem extension (φ=1)	224		C2^2.110(D4xC14)	448,897
C₂².₁₁₁(D₄×C₁₄) = C₇×C₄².₂₉C₂²	central stem extension (φ=1)	224		C2^2.111(D4xC14)	448,898
C₂².₁₁₂(D₄×C₁₄) = C₇×C₄².₃₀C₂²	central stem extension (φ=1)	448		C2^2.112(D4xC14)	448,899
C₂².₁₁₃(D₄×C₁₄) = C₇×C₈⋊₅D₄	central stem extension (φ=1)	224		C2^2.113(D4xC14)	448,900
C₂².₁₁₄(D₄×C₁₄) = C₇×C₈⋊₄D₄	central stem extension (φ=1)	224		C2^2.114(D4xC14)	448,901
C₂².₁₁₅(D₄×C₁₄) = C₇×C₄⋊Q₁₆	central stem extension (φ=1)	448		C2^2.115(D4xC14)	448,902
C₂².₁₁₆(D₄×C₁₄) = C₇×C₈.₁₂D₄	central stem extension (φ=1)	224		C2^2.116(D4xC14)	448,903
C₂².₁₁₇(D₄×C₁₄) = C₇×C₈⋊₃D₄	central stem extension (φ=1)	224		C2^2.117(D4xC14)	448,904
C₂².₁₁₈(D₄×C₁₄) = C₇×C₈.₂D₄	central stem extension (φ=1)	224		C2^2.118(D4xC14)	448,905
C₂².₁₁₉(D₄×C₁₄) = C₇×C₈⋊₃Q₈	central stem extension (φ=1)	448		C2^2.119(D4xC14)	448,906
C₂².₁₂₀(D₄×C₁₄) = C₇×C₈.₅Q₈	central stem extension (φ=1)	448		C2^2.120(D4xC14)	448,907
C₂².₁₂₁(D₄×C₁₄) = C₇×C₈⋊₂Q₈	central stem extension (φ=1)	448		C2^2.121(D4xC14)	448,908
C₂².₁₂₂(D₄×C₁₄) = C₇×C₈⋊Q₈	central stem extension (φ=1)	448		C2^2.122(D4xC14)	448,909

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Extensions 1→N→G→Q→1 with N=C22 and Q=D4×C14

Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄×C₁₄