Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊₂D₇

Direct product G=N×Q with N=C₂² and Q=D₄⋊₂D₇

		d	ρ	Label	ID
C₂²×D₄⋊₂D₇		224		C2^2xD4:2D7	448,1370

Semidirect products G=N:Q with N=C₂² and Q=D₄⋊₂D₇

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(D₄⋊₂D₇) = Dic₁₄⋊₁₉D₄	φ: D₄⋊₂D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224	C2^2:1(D4:2D7)	448,1051
C₂²⋊₂(D₄⋊₂D₇) = C₄⋊C₄⋊₂₁D₁₄	φ: D₄⋊₂D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	C2^2:2(D4:2D7)	448,1059
C₂²⋊₃(D₄⋊₂D₇) = C₂⁴.₅₆D₁₄	φ: D₄⋊₂D₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	112	C2^2:3(D4:2D7)	448,1039
C₂²⋊₄(D₄⋊₂D₇) = C₂⁴.₃₃D₁₄	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	112	C2^2:4(D4:2D7)	448,1044
C₂²⋊₅(D₄⋊₂D₇) = C₂⁴.₄₂D₁₄	φ: D₄⋊₂D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112	C2^2:5(D4:2D7)	448,1259

Non-split extensions G=N.Q with N=C₂² and Q=D₄⋊₂D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄⋊₂D₇) = C₁₄.₃₄2₊¹⁺⁴	φ: D₄⋊₂D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.1(D4:2D7)	448,1054
C₂².₂(D₄⋊₂D₇) = C₁₄.₁₁₅2₊¹⁺⁴	φ: D₄⋊₂D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.2(D4:2D7)	448,1071
C₂².₃(D₄⋊₂D₇) = D₈⋊₅Dic₇	φ: D₄⋊₂D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.3(D4:2D7)	448,730
C₂².₄(D₄⋊₂D₇) = D₈⋊₄Dic₇	φ: D₄⋊₂D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.4(D4:2D7)	448,731
C₂².₅(D₄⋊₂D₇) = C₄⋊C₄.₁₇₈D₁₄	φ: D₄⋊₂D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.5(D4:2D7)	448,1053
C₂².₆(D₄⋊₂D₇) = C₁₄.₃₅2₊¹⁺⁴	φ: D₄⋊₂D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.6(D4:2D7)	448,1055
C₂².₇(D₄⋊₂D₇) = C₁₄.₄₆2₊¹⁺⁴	φ: D₄⋊₂D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112		C2^2.7(D4:2D7)	448,1070
C₂².₈(D₄⋊₂D₇) = M₄(2).₂₂D₁₄	φ: D₄⋊₂D₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.8(D4:2D7)	448,357
C₂².₉(D₄⋊₂D₇) = C₄².₁₉₆D₁₄	φ: D₄⋊₂D₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.9(D4:2D7)	448,358
C₂².₁₀(D₄⋊₂D₇) = C₂⁴.₃₅D₁₄	φ: D₄⋊₂D₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	112		C2^2.10(D4:2D7)	448,1046
C₂².₁₁(D₄⋊₂D₇) = C₄⋊C₄.₁₉₇D₁₄	φ: D₄⋊₂D₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	224		C2^2.11(D4:2D7)	448,1102
C₂².₁₂(D₄⋊₂D₇) = C₁₄.₈₅2_-¹⁺⁴	φ: D₄⋊₂D₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	224		C2^2.12(D4:2D7)	448,1118
C₂².₁₃(D₄⋊₂D₇) = M₄(2).D₁₄	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	112	8+	C2^2.13(D4:2D7)	448,733
C₂².₁₄(D₄⋊₂D₇) = M₄(2).₁₃D₁₄	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	112	8-	C2^2.14(D4:2D7)	448,734
C₂².₁₅(D₄⋊₂D₇) = M₄(2).₁₅D₁₄	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	112	8+	C2^2.15(D4:2D7)	448,737
C₂².₁₆(D₄⋊₂D₇) = M₄(2).₁₆D₁₄	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	224	8-	C2^2.16(D4:2D7)	448,738
C₂².₁₇(D₄⋊₂D₇) = C₂⁴.₃₂D₁₄	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	112		C2^2.17(D4:2D7)	448,1040
C₂².₁₈(D₄⋊₂D₇) = C₁₄.₈₀2_-¹⁺⁴	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	224		C2^2.18(D4:2D7)	448,1103
C₂².₁₉(D₄⋊₂D₇) = C₁₄.₁₂₂2₊¹⁺⁴	φ: D₄⋊₂D₇/C₇⋊D₄ → C₂ ⊆ Aut C₂²	112		C2^2.19(D4:2D7)	448,1111
C₂².₂₀(D₄⋊₂D₇) = C₅₆.₂₃D₄	φ: D₄⋊₂D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.20(D4:2D7)	448,694
C₂².₂₁(D₄⋊₂D₇) = C₅₆.₄₄D₄	φ: D₄⋊₂D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.21(D4:2D7)	448,711
C₂².₂₂(D₄⋊₂D₇) = C₅₆.₂₉D₄	φ: D₄⋊₂D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	224	4	C2^2.22(D4:2D7)	448,726
C₂².₂₃(D₄⋊₂D₇) = C₂⁴.₃₁D₁₄	φ: D₄⋊₂D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	112		C2^2.23(D4:2D7)	448,948
C₂².₂₄(D₄⋊₂D₇) = C₁₄.₅2_-¹⁺⁴	φ: D₄⋊₂D₇/C₇×D₄ → C₂ ⊆ Aut C₂²	224		C2^2.24(D4:2D7)	448,966
C₂².₂₅(D₄⋊₂D₇) = (C₂×C₂₈)⋊Q₈	central extension (φ=1)	448		C2^2.25(D4:2D7)	448,180
C₂².₂₆(D₄⋊₂D₇) = C₁₄.(C₄×Q₈)	central extension (φ=1)	448		C2^2.26(D4:2D7)	448,181
C₂².₂₇(D₄⋊₂D₇) = Dic₇.₅C₄²	central extension (φ=1)	448		C2^2.27(D4:2D7)	448,182
C₂².₂₈(D₄⋊₂D₇) = Dic₇⋊C₄²	central extension (φ=1)	448		C2^2.28(D4:2D7)	448,183
C₂².₂₉(D₄⋊₂D₇) = C₇⋊(C₄²⋊₈C₄)	central extension (φ=1)	448		C2^2.29(D4:2D7)	448,184
C₂².₃₀(D₄⋊₂D₇) = C₇⋊(C₄²⋊₅C₄)	central extension (φ=1)	448		C2^2.30(D4:2D7)	448,185
C₂².₃₁(D₄⋊₂D₇) = Dic₇⋊C₄⋊C₄	central extension (φ=1)	448		C2^2.31(D4:2D7)	448,186
C₂².₃₂(D₄⋊₂D₇) = C₄⋊Dic₇⋊₇C₄	central extension (φ=1)	448		C2^2.32(D4:2D7)	448,187
C₂².₃₃(D₄⋊₂D₇) = C₄⋊Dic₇⋊₈C₄	central extension (φ=1)	448		C2^2.33(D4:2D7)	448,188
C₂².₃₄(D₄⋊₂D₇) = C₁₄.(C₄×D₄)	central extension (φ=1)	448		C2^2.34(D4:2D7)	448,189
C₂².₃₅(D₄⋊₂D₇) = C₂².₅₈(D₄×D₇)	central extension (φ=1)	224		C2^2.35(D4:2D7)	448,198
C₂².₃₆(D₄⋊₂D₇) = D₁₄⋊C₄²	central extension (φ=1)	224		C2^2.36(D4:2D7)	448,200
C₂².₃₇(D₄⋊₂D₇) = D₁₄⋊C₄⋊C₄	central extension (φ=1)	224		C2^2.37(D4:2D7)	448,202
C₂².₃₈(D₄⋊₂D₇) = D₁₄⋊C₄⋊₅C₄	central extension (φ=1)	224		C2^2.38(D4:2D7)	448,203
C₂².₃₉(D₄⋊₂D₇) = C₂.(C₄×D₂₈)	central extension (φ=1)	224		C2^2.39(D4:2D7)	448,204
C₂².₄₀(D₄⋊₂D₇) = C₂²⋊C₄×Dic₇	central extension (φ=1)	224		C2^2.40(D4:2D7)	448,475
C₂².₄₁(D₄⋊₂D₇) = C₂⁴.₄₄D₁₄	central extension (φ=1)	224		C2^2.41(D4:2D7)	448,476
C₂².₄₂(D₄⋊₂D₇) = C₂³.₄₂D₂₈	central extension (φ=1)	224		C2^2.42(D4:2D7)	448,477
C₂².₄₃(D₄⋊₂D₇) = C₂⁴.₃D₁₄	central extension (φ=1)	224		C2^2.43(D4:2D7)	448,478
C₂².₄₄(D₄⋊₂D₇) = C₂⁴.₄D₁₄	central extension (φ=1)	224		C2^2.44(D4:2D7)	448,479
C₂².₄₅(D₄⋊₂D₇) = C₂⁴.₄₆D₁₄	central extension (φ=1)	224		C2^2.45(D4:2D7)	448,480
C₂².₄₆(D₄⋊₂D₇) = C₂⁴.₄₇D₁₄	central extension (φ=1)	224		C2^2.46(D4:2D7)	448,484
C₂².₄₇(D₄⋊₂D₇) = C₂⁴.₈D₁₄	central extension (φ=1)	224		C2^2.47(D4:2D7)	448,485
C₂².₄₈(D₄⋊₂D₇) = C₂⁴.₁₂D₁₄	central extension (φ=1)	224		C2^2.48(D4:2D7)	448,490
C₂².₄₉(D₄⋊₂D₇) = C₂⁴.₁₃D₁₄	central extension (φ=1)	224		C2^2.49(D4:2D7)	448,491
C₂².₅₀(D₄⋊₂D₇) = C₂³.₄₅D₂₈	central extension (φ=1)	224		C2^2.50(D4:2D7)	448,492
C₂².₅₁(D₄⋊₂D₇) = Dic₇⋊(C₄⋊C₄)	central extension (φ=1)	448		C2^2.51(D4:2D7)	448,506
C₂².₅₂(D₄⋊₂D₇) = C₂₈⋊(C₄⋊C₄)	central extension (φ=1)	448		C2^2.52(D4:2D7)	448,507
C₂².₅₃(D₄⋊₂D₇) = (C₂×Dic₇)⋊₆Q₈	central extension (φ=1)	448		C2^2.53(D4:2D7)	448,508
C₂².₅₄(D₄⋊₂D₇) = C₄⋊C₄×Dic₇	central extension (φ=1)	448		C2^2.54(D4:2D7)	448,509
C₂².₅₅(D₄⋊₂D₇) = (C₄×Dic₇)⋊₉C₄	central extension (φ=1)	448		C2^2.55(D4:2D7)	448,511
C₂².₅₆(D₄⋊₂D₇) = C₂².₂₃(Q₈×D₇)	central extension (φ=1)	448		C2^2.56(D4:2D7)	448,512
C₂².₅₇(D₄⋊₂D₇) = C₄⋊C₄⋊₅Dic₇	central extension (φ=1)	448		C2^2.57(D4:2D7)	448,515
C₂².₅₈(D₄⋊₂D₇) = C₄⋊(C₄⋊Dic₇)	central extension (φ=1)	448		C2^2.58(D4:2D7)	448,519
C₂².₅₉(D₄⋊₂D₇) = C₄⋊(D₁₄⋊C₄)	central extension (φ=1)	224		C2^2.59(D4:2D7)	448,521
C₂².₆₀(D₄⋊₂D₇) = D₁₄⋊C₄⋊₇C₄	central extension (φ=1)	224		C2^2.60(D4:2D7)	448,524
C₂².₆₁(D₄⋊₂D₇) = C₂⁴.₁₈D₁₄	central extension (φ=1)	224		C2^2.61(D4:2D7)	448,754
C₂².₆₂(D₄⋊₂D₇) = C₂⁴.₁₉D₁₄	central extension (φ=1)	224		C2^2.62(D4:2D7)	448,755
C₂².₆₃(D₄⋊₂D₇) = C₂×C₂³.₁₁D₁₄	central extension (φ=1)	224		C2^2.63(D4:2D7)	448,933
C₂².₆₄(D₄⋊₂D₇) = C₂×C₂²⋊Dic₁₄	central extension (φ=1)	224		C2^2.64(D4:2D7)	448,934
C₂².₆₅(D₄⋊₂D₇) = C₂×C₂³.D₁₄	central extension (φ=1)	224		C2^2.65(D4:2D7)	448,935
C₂².₆₆(D₄⋊₂D₇) = C₂×Dic₇⋊₄D₄	central extension (φ=1)	224		C2^2.66(D4:2D7)	448,938
C₂².₆₇(D₄⋊₂D₇) = C₂×D₁₄.D₄	central extension (φ=1)	224		C2^2.67(D4:2D7)	448,941
C₂².₆₈(D₄⋊₂D₇) = C₂×Dic₇.D₄	central extension (φ=1)	224		C2^2.68(D4:2D7)	448,944
C₂².₆₉(D₄⋊₂D₇) = C₂×C₂².D₂₈	central extension (φ=1)	224		C2^2.69(D4:2D7)	448,945
C₂².₇₀(D₄⋊₂D₇) = C₂×Dic₇⋊₃Q₈	central extension (φ=1)	448		C2^2.70(D4:2D7)	448,949
C₂².₇₁(D₄⋊₂D₇) = C₂×Dic₇.Q₈	central extension (φ=1)	448		C2^2.71(D4:2D7)	448,951
C₂².₇₂(D₄⋊₂D₇) = C₂×C₂₈.₃Q₈	central extension (φ=1)	448		C2^2.72(D4:2D7)	448,952
C₂².₇₃(D₄⋊₂D₇) = C₂×C₄⋊C₄⋊₇D₇	central extension (φ=1)	224		C2^2.73(D4:2D7)	448,955
C₂².₇₄(D₄⋊₂D₇) = C₂×D₁₄⋊₂Q₈	central extension (φ=1)	224		C2^2.74(D4:2D7)	448,962
C₂².₇₅(D₄⋊₂D₇) = C₂×C₄⋊C₄⋊D₇	central extension (φ=1)	224		C2^2.75(D4:2D7)	448,965
C₂².₇₆(D₄⋊₂D₇) = C₂×D₄×Dic₇	central extension (φ=1)	224		C2^2.76(D4:2D7)	448,1248
C₂².₇₇(D₄⋊₂D₇) = C₂×C₂³.₁₈D₁₄	central extension (φ=1)	224		C2^2.77(D4:2D7)	448,1249
C₂².₇₈(D₄⋊₂D₇) = C₂×C₂₈.₁₇D₄	central extension (φ=1)	224		C2^2.78(D4:2D7)	448,1250
C₂².₇₉(D₄⋊₂D₇) = C₂×C₂₈⋊₂D₄	central extension (φ=1)	224		C2^2.79(D4:2D7)	448,1253
C₂².₈₀(D₄⋊₂D₇) = C₂×Dic₇⋊D₄	central extension (φ=1)	224		C2^2.80(D4:2D7)	448,1255
C₂².₈₁(D₄⋊₂D₇) = (C₂×Dic₇)⋊Q₈	central stem extension (φ=1)	448		C2^2.81(D4:2D7)	448,190
C₂².₈₂(D₄⋊₂D₇) = C₂.(C₂₈⋊Q₈)	central stem extension (φ=1)	448		C2^2.82(D4:2D7)	448,191
C₂².₈₃(D₄⋊₂D₇) = (C₂×Dic₇).Q₈	central stem extension (φ=1)	448		C2^2.83(D4:2D7)	448,192
C₂².₈₄(D₄⋊₂D₇) = (C₂×C₂₈).₂₈D₄	central stem extension (φ=1)	448		C2^2.84(D4:2D7)	448,193
C₂².₈₅(D₄⋊₂D₇) = (C₂×C₄).Dic₁₄	central stem extension (φ=1)	448		C2^2.85(D4:2D7)	448,194
C₂².₈₆(D₄⋊₂D₇) = C₁₄.(C₄⋊Q₈)	central stem extension (φ=1)	448		C2^2.86(D4:2D7)	448,195
C₂².₈₇(D₄⋊₂D₇) = (C₂²×C₄).D₁₄	central stem extension (φ=1)	448		C2^2.87(D4:2D7)	448,196
C₂².₈₈(D₄⋊₂D₇) = (C₂×C₄).₂₀D₂₈	central stem extension (φ=1)	224		C2^2.88(D4:2D7)	448,207
C₂².₈₉(D₄⋊₂D₇) = (C₂×C₄).₂₁D₂₈	central stem extension (φ=1)	224		C2^2.89(D4:2D7)	448,208
C₂².₉₀(D₄⋊₂D₇) = (C₂²×D₇).₉D₄	central stem extension (φ=1)	224		C2^2.90(D4:2D7)	448,209
C₂².₉₁(D₄⋊₂D₇) = (C₂×C₂₈).₃₃D₄	central stem extension (φ=1)	224		C2^2.91(D4:2D7)	448,211
C₂².₉₂(D₄⋊₂D₇) = C₂³⋊Dic₁₄	central stem extension (φ=1)	224		C2^2.92(D4:2D7)	448,481
C₂².₉₃(D₄⋊₂D₇) = C₂⁴.₆D₁₄	central stem extension (φ=1)	224		C2^2.93(D4:2D7)	448,482
C₂².₉₄(D₄⋊₂D₇) = C₂⁴.₇D₁₄	central stem extension (φ=1)	224		C2^2.94(D4:2D7)	448,483
C₂².₉₅(D₄⋊₂D₇) = C₂⁴.₉D₁₄	central stem extension (φ=1)	224		C2^2.95(D4:2D7)	448,486
C₂².₉₆(D₄⋊₂D₇) = C₂⁴.₁₀D₁₄	central stem extension (φ=1)	224		C2^2.96(D4:2D7)	448,487
C₂².₉₇(D₄⋊₂D₇) = C₂⁴.₁₄D₁₄	central stem extension (φ=1)	224		C2^2.97(D4:2D7)	448,493
C₂².₉₈(D₄⋊₂D₇) = C₂³.₁₆D₂₈	central stem extension (φ=1)	224		C2^2.98(D4:2D7)	448,495
C₂².₉₉(D₄⋊₂D₇) = (C₂×C₂₈).₂₈₇D₄	central stem extension (φ=1)	448		C2^2.99(D4:2D7)	448,514
C₂².₁₀₀(D₄⋊₂D₇) = (C₂×C₂₈).₂₈₈D₄	central stem extension (φ=1)	448		C2^2.100(D4:2D7)	448,516
C₂².₁₀₁(D₄⋊₂D₇) = (C₂×C₄).₄₄D₂₈	central stem extension (φ=1)	448		C2^2.101(D4:2D7)	448,517
C₂².₁₀₂(D₄⋊₂D₇) = (C₂×C₂₈).₅₄D₄	central stem extension (φ=1)	448		C2^2.102(D4:2D7)	448,518
C₂².₁₀₃(D₄⋊₂D₇) = (C₂×C₂₈).₅₅D₄	central stem extension (φ=1)	448		C2^2.103(D4:2D7)	448,520
C₂².₁₀₄(D₄⋊₂D₇) = (C₂×C₂₈).₂₉₀D₄	central stem extension (φ=1)	224		C2^2.104(D4:2D7)	448,527
C₂².₁₀₅(D₄⋊₂D₇) = (C₂×C₄).₄₅D₂₈	central stem extension (φ=1)	224		C2^2.105(D4:2D7)	448,528
C₂².₁₀₆(D₄⋊₂D₇) = C₂⁴.₂₀D₁₄	central stem extension (φ=1)	224		C2^2.106(D4:2D7)	448,756
C₂².₁₀₇(D₄⋊₂D₇) = C₂⁴.₂₁D₁₄	central stem extension (φ=1)	224		C2^2.107(D4:2D7)	448,757

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Extensions 1→N→G→Q→1 with N=C22 and Q=D4⋊2D7

Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊₂D₇