Extensions 1→N→G→Q→1 with N=C14 and Q=C2xC42

Direct product G=NxQ with N=C14 and Q=C2xC42
dρLabelID
C22xC4xC28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C14 and Q=C2xC42
extensionφ:Q→Aut NdρLabelID
C14:1(C2xC42) = D7xC2xC42φ: C2xC42/C42C2 ⊆ Aut C14224C14:1(C2xC4^2)448,924
C14:2(C2xC42) = C22xC4xDic7φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14:2(C2xC4^2)448,1235

Non-split extensions G=N.Q with N=C14 and Q=C2xC42
extensionφ:Q→Aut NdρLabelID
C14.1(C2xC42) = Dic7.5C42φ: C2xC42/C42C2 ⊆ Aut C14448C14.1(C2xC4^2)448,182
C14.2(C2xC42) = Dic7:C42φ: C2xC42/C42C2 ⊆ Aut C14448C14.2(C2xC4^2)448,183
C14.3(C2xC42) = D7xC2.C42φ: C2xC42/C42C2 ⊆ Aut C14224C14.3(C2xC4^2)448,197
C14.4(C2xC42) = D14:C42φ: C2xC42/C42C2 ⊆ Aut C14224C14.4(C2xC4^2)448,200
C14.5(C2xC42) = D7xC4xC8φ: C2xC42/C42C2 ⊆ Aut C14224C14.5(C2xC4^2)448,218
C14.6(C2xC42) = C4xC8:D7φ: C2xC42/C42C2 ⊆ Aut C14224C14.6(C2xC4^2)448,221
C14.7(C2xC42) = D14.C42φ: C2xC42/C42C2 ⊆ Aut C14224C14.7(C2xC4^2)448,223
C14.8(C2xC42) = D7xC8:C4φ: C2xC42/C42C2 ⊆ Aut C14224C14.8(C2xC4^2)448,238
C14.9(C2xC42) = Dic7.C42φ: C2xC42/C42C2 ⊆ Aut C14224C14.9(C2xC4^2)448,241
C14.10(C2xC42) = D14.4C42φ: C2xC42/C42C2 ⊆ Aut C14224C14.10(C2xC4^2)448,242
C14.11(C2xC42) = C4xDic7:C4φ: C2xC42/C42C2 ⊆ Aut C14448C14.11(C2xC4^2)448,465
C14.12(C2xC42) = C4xD14:C4φ: C2xC42/C42C2 ⊆ Aut C14224C14.12(C2xC4^2)448,472
C14.13(C2xC42) = C2xC4xC7:C8φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.13(C2xC4^2)448,454
C14.14(C2xC42) = C2xC42.D7φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.14(C2xC4^2)448,455
C14.15(C2xC42) = C4xC4.Dic7φ: C2xC42/C22xC4C2 ⊆ Aut C14224C14.15(C2xC4^2)448,456
C14.16(C2xC42) = C42xDic7φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.16(C2xC4^2)448,464
C14.17(C2xC42) = C42:4Dic7φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.17(C2xC4^2)448,466
C14.18(C2xC42) = C4xC4:Dic7φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.18(C2xC4^2)448,468
C14.19(C2xC42) = C22:C4xDic7φ: C2xC42/C22xC4C2 ⊆ Aut C14224C14.19(C2xC4^2)448,475
C14.20(C2xC42) = C4:C4xDic7φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.20(C2xC4^2)448,509
C14.21(C2xC42) = C28.5C42φ: C2xC42/C22xC4C2 ⊆ Aut C14224C14.21(C2xC4^2)448,531
C14.22(C2xC42) = C2xC8xDic7φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.22(C2xC4^2)448,632
C14.23(C2xC42) = C2xC56:C4φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.23(C2xC4^2)448,634
C14.24(C2xC42) = C28.12C42φ: C2xC42/C22xC4C2 ⊆ Aut C14224C14.24(C2xC4^2)448,635
C14.25(C2xC42) = M4(2)xDic7φ: C2xC42/C22xC4C2 ⊆ Aut C14224C14.25(C2xC4^2)448,651
C14.26(C2xC42) = C28.7C42φ: C2xC42/C22xC4C2 ⊆ Aut C14224C14.26(C2xC4^2)448,656
C14.27(C2xC42) = C2xC14.C42φ: C2xC42/C22xC4C2 ⊆ Aut C14448C14.27(C2xC4^2)448,742
C14.28(C2xC42) = C4xC23.D7φ: C2xC42/C22xC4C2 ⊆ Aut C14224C14.28(C2xC4^2)448,743
C14.29(C2xC42) = C14xC2.C42central extension (φ=1)448C14.29(C2xC4^2)448,783
C14.30(C2xC42) = C7xC42:4C4central extension (φ=1)448C14.30(C2xC4^2)448,784
C14.31(C2xC42) = C22:C4xC28central extension (φ=1)224C14.31(C2xC4^2)448,785
C14.32(C2xC42) = C4:C4xC28central extension (φ=1)448C14.32(C2xC4^2)448,786
C14.33(C2xC42) = C14xC8:C4central extension (φ=1)448C14.33(C2xC4^2)448,811
C14.34(C2xC42) = M4(2)xC28central extension (φ=1)224C14.34(C2xC4^2)448,812
C14.35(C2xC42) = C7xC8o2M4(2)central extension (φ=1)224C14.35(C2xC4^2)448,813

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