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

Direct product G=N×Q with N=C14 and Q=D4⋊C4
dρLabelID
C14×D4⋊C4224C14xD4:C4448,822

Semidirect products G=N:Q with N=C14 and Q=D4⋊C4
extensionφ:Q→Aut NdρLabelID
C14⋊1(D4⋊C4) = C2×C14.D8φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14:1(D4:C4)448,499
C14⋊2(D4⋊C4) = C2×C2.D56φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14224C14:2(D4:C4)448,646
C14⋊3(D4⋊C4) = C2×D4⋊Dic7φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14224C14:3(D4:C4)448,748

Non-split extensions G=N.Q with N=C14 and Q=D4⋊C4
extensionφ:Q→Aut NdρLabelID
C14.1(D4⋊C4) = C14.C4≀C2φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C14112C14.1(D4:C4)448,8
C14.2(D4⋊C4) = C28.47D8φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.2(D4:C4)448,39
C14.3(D4⋊C4) = D28⋊2C8φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.3(D4:C4)448,40
C14.4(D4⋊C4) = D56⋊8C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C141124C14.4(D4:C4)448,45
C14.5(D4⋊C4) = C14.D16φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C14224C14.5(D4:C4)448,48
C14.6(D4⋊C4) = C56.6D4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.6(D4:C4)448,49
C14.7(D4⋊C4) = D56.C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C141124+C14.7(D4:C4)448,52
C14.8(D4⋊C4) = C56.8D4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C142244-C14.8(D4:C4)448,53
C14.9(D4⋊C4) = Dic28.C4φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C142244C14.9(D4:C4)448,54
C14.10(D4⋊C4) = C4.17D56φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14224C14.10(D4:C4)448,16
C14.11(D4⋊C4) = C22.2D56φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14112C14.11(D4:C4)448,27
C14.12(D4⋊C4) = C4.D56φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14224C14.12(D4:C4)448,42
C14.13(D4⋊C4) = C28.2D8φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14448C14.13(D4:C4)448,43
C14.14(D4⋊C4) = C56.78D4φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14448C14.14(D4:C4)448,60
C14.15(D4⋊C4) = C2.D112φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14224C14.15(D4:C4)448,66
C14.16(D4⋊C4) = D56.1C4φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C142242C14.16(D4:C4)448,67
C14.17(D4⋊C4) = C28.3D8φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C141124+C14.17(D4:C4)448,73
C14.18(D4⋊C4) = C28.4D8φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C142244-C14.18(D4:C4)448,74
C14.19(D4⋊C4) = D56⋊2C4φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C141124C14.19(D4:C4)448,75
C14.20(D4⋊C4) = C28.9C42φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C14448C14.20(D4:C4)448,108
C14.21(D4⋊C4) = C28.C42φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14448C14.21(D4:C4)448,86
C14.22(D4⋊C4) = C28.57D8φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14224C14.22(D4:C4)448,91
C14.23(D4⋊C4) = (D4×C14)⋊C4φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14112C14.23(D4:C4)448,94
C14.24(D4⋊C4) = C28.9D8φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14224C14.24(D4:C4)448,101
C14.25(D4⋊C4) = C28.10D8φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14448C14.25(D4:C4)448,104
C14.26(D4⋊C4) = C14.SD32φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14224C14.26(D4:C4)448,119
C14.27(D4⋊C4) = D8.Dic7φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C141124C14.27(D4:C4)448,120
C14.28(D4⋊C4) = C14.Q32φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C14448C14.28(D4:C4)448,121
C14.29(D4⋊C4) = Q16.Dic7φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C142244C14.29(D4:C4)448,122
C14.30(D4⋊C4) = D8⋊2Dic7φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C141124C14.30(D4:C4)448,123
C14.31(D4⋊C4) = C28.58D8φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C142244C14.31(D4:C4)448,124
C14.32(D4⋊C4) = C7×D4⋊C8central extension (φ=1)224C14.32(D4:C4)448,129
C14.33(D4⋊C4) = C7×C22.SD16central extension (φ=1)112C14.33(D4:C4)448,131
C14.34(D4⋊C4) = C7×C4.D8central extension (φ=1)224C14.34(D4:C4)448,135
C14.35(D4⋊C4) = C7×C4.10D8central extension (φ=1)448C14.35(D4:C4)448,136
C14.36(D4⋊C4) = C7×C22.4Q16central extension (φ=1)448C14.36(D4:C4)448,144
C14.37(D4⋊C4) = C7×C2.D16central extension (φ=1)224C14.37(D4:C4)448,161
C14.38(D4⋊C4) = C7×C2.Q32central extension (φ=1)448C14.38(D4:C4)448,162
C14.39(D4⋊C4) = C7×D8.C4central extension (φ=1)2242C14.39(D4:C4)448,163
C14.40(D4⋊C4) = C7×D8⋊2C4central extension (φ=1)1124C14.40(D4:C4)448,164
C14.41(D4⋊C4) = C7×M5(2)⋊C2central extension (φ=1)1124C14.41(D4:C4)448,165
C14.42(D4⋊C4) = C7×C8.17D4central extension (φ=1)2244C14.42(D4:C4)448,166

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