# Extensions 1→N→G→Q→1 with N=C14 and Q=C2×D4

Direct product G=N×Q with N=C14 and Q=C2×D4
dρLabelID
D4×C2×C14112D4xC2xC14224,190

Semidirect products G=N:Q with N=C14 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C141(C2×D4) = C22×D28φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14:1(C2xD4)224,176
C142(C2×D4) = C2×D4×D7φ: C2×D4/D4C2 ⊆ Aut C1456C14:2(C2xD4)224,178
C143(C2×D4) = C22×C7⋊D4φ: C2×D4/C23C2 ⊆ Aut C14112C14:3(C2xD4)224,188

Non-split extensions G=N.Q with N=C14 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C14.1(C2×D4) = C282Q8φ: C2×D4/C2×C4C2 ⊆ Aut C14224C14.1(C2xD4)224,64
C14.2(C2×D4) = C4×D28φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.2(C2xD4)224,68
C14.3(C2×D4) = C284D4φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.3(C2xD4)224,69
C14.4(C2×D4) = C4.D28φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.4(C2xD4)224,70
C14.5(C2×D4) = C22⋊D28φ: C2×D4/C2×C4C2 ⊆ Aut C1456C14.5(C2xD4)224,77
C14.6(C2×D4) = C22.D28φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.6(C2xD4)224,81
C14.7(C2×D4) = C4⋊D28φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.7(C2xD4)224,90
C14.8(C2×D4) = D142Q8φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.8(C2xD4)224,92
C14.9(C2×D4) = C2×C56⋊C2φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.9(C2xD4)224,97
C14.10(C2×D4) = C2×D56φ: C2×D4/C2×C4C2 ⊆ Aut C14112C14.10(C2xD4)224,98
C14.11(C2×D4) = D567C2φ: C2×D4/C2×C4C2 ⊆ Aut C141122C14.11(C2xD4)224,99
C14.12(C2×D4) = C2×Dic28φ: C2×D4/C2×C4C2 ⊆ Aut C14224C14.12(C2xD4)224,100
C14.13(C2×D4) = C8⋊D14φ: C2×D4/C2×C4C2 ⊆ Aut C14564+C14.13(C2xD4)224,103
C14.14(C2×D4) = C8.D14φ: C2×D4/C2×C4C2 ⊆ Aut C141124-C14.14(C2xD4)224,104
C14.15(C2×D4) = C2×C4⋊Dic7φ: C2×D4/C2×C4C2 ⊆ Aut C14224C14.15(C2xD4)224,120
C14.16(C2×D4) = C22⋊Dic14φ: C2×D4/D4C2 ⊆ Aut C14112C14.16(C2xD4)224,73
C14.17(C2×D4) = D7×C22⋊C4φ: C2×D4/D4C2 ⊆ Aut C1456C14.17(C2xD4)224,75
C14.18(C2×D4) = Dic74D4φ: C2×D4/D4C2 ⊆ Aut C14112C14.18(C2xD4)224,76
C14.19(C2×D4) = D14.D4φ: C2×D4/D4C2 ⊆ Aut C14112C14.19(C2xD4)224,78
C14.20(C2×D4) = D14⋊D4φ: C2×D4/D4C2 ⊆ Aut C14112C14.20(C2xD4)224,79
C14.21(C2×D4) = Dic7.D4φ: C2×D4/D4C2 ⊆ Aut C14112C14.21(C2xD4)224,80
C14.22(C2×D4) = C28⋊Q8φ: C2×D4/D4C2 ⊆ Aut C14224C14.22(C2xD4)224,83
C14.23(C2×D4) = D7×C4⋊C4φ: C2×D4/D4C2 ⊆ Aut C14112C14.23(C2xD4)224,86
C14.24(C2×D4) = D28⋊C4φ: C2×D4/D4C2 ⊆ Aut C14112C14.24(C2xD4)224,88
C14.25(C2×D4) = D14.5D4φ: C2×D4/D4C2 ⊆ Aut C14112C14.25(C2xD4)224,89
C14.26(C2×D4) = D14⋊Q8φ: C2×D4/D4C2 ⊆ Aut C14112C14.26(C2xD4)224,91
C14.27(C2×D4) = D7×D8φ: C2×D4/D4C2 ⊆ Aut C14564+C14.27(C2xD4)224,105
C14.28(C2×D4) = D8⋊D7φ: C2×D4/D4C2 ⊆ Aut C14564C14.28(C2xD4)224,106
C14.29(C2×D4) = D83D7φ: C2×D4/D4C2 ⊆ Aut C141124-C14.29(C2xD4)224,107
C14.30(C2×D4) = D7×SD16φ: C2×D4/D4C2 ⊆ Aut C14564C14.30(C2xD4)224,108
C14.31(C2×D4) = D56⋊C2φ: C2×D4/D4C2 ⊆ Aut C14564+C14.31(C2xD4)224,109
C14.32(C2×D4) = SD16⋊D7φ: C2×D4/D4C2 ⊆ Aut C141124-C14.32(C2xD4)224,110
C14.33(C2×D4) = SD163D7φ: C2×D4/D4C2 ⊆ Aut C141124C14.33(C2xD4)224,111
C14.34(C2×D4) = D7×Q16φ: C2×D4/D4C2 ⊆ Aut C141124-C14.34(C2xD4)224,112
C14.35(C2×D4) = Q16⋊D7φ: C2×D4/D4C2 ⊆ Aut C141124C14.35(C2xD4)224,113
C14.36(C2×D4) = Q8.D14φ: C2×D4/D4C2 ⊆ Aut C141124+C14.36(C2xD4)224,114
C14.37(C2×D4) = D4×Dic7φ: C2×D4/D4C2 ⊆ Aut C14112C14.37(C2xD4)224,129
C14.38(C2×D4) = C2×Dic7⋊C4φ: C2×D4/C23C2 ⊆ Aut C14224C14.38(C2xD4)224,118
C14.39(C2×D4) = C28.48D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.39(C2xD4)224,119
C14.40(C2×D4) = C2×D14⋊C4φ: C2×D4/C23C2 ⊆ Aut C14112C14.40(C2xD4)224,122
C14.41(C2×D4) = C4×C7⋊D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.41(C2xD4)224,123
C14.42(C2×D4) = C23.23D14φ: C2×D4/C23C2 ⊆ Aut C14112C14.42(C2xD4)224,124
C14.43(C2×D4) = C287D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.43(C2xD4)224,125
C14.44(C2×D4) = C2×D4⋊D7φ: C2×D4/C23C2 ⊆ Aut C14112C14.44(C2xD4)224,126
C14.45(C2×D4) = D4.D14φ: C2×D4/C23C2 ⊆ Aut C14564C14.45(C2xD4)224,127
C14.46(C2×D4) = C2×D4.D7φ: C2×D4/C23C2 ⊆ Aut C14112C14.46(C2xD4)224,128
C14.47(C2×D4) = C23.18D14φ: C2×D4/C23C2 ⊆ Aut C14112C14.47(C2xD4)224,130
C14.48(C2×D4) = C28.17D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.48(C2xD4)224,131
C14.49(C2×D4) = C23⋊D14φ: C2×D4/C23C2 ⊆ Aut C1456C14.49(C2xD4)224,132
C14.50(C2×D4) = C282D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.50(C2xD4)224,133
C14.51(C2×D4) = Dic7⋊D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.51(C2xD4)224,134
C14.52(C2×D4) = C28⋊D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.52(C2xD4)224,135
C14.53(C2×D4) = C2×Q8⋊D7φ: C2×D4/C23C2 ⊆ Aut C14112C14.53(C2xD4)224,136
C14.54(C2×D4) = C28.C23φ: C2×D4/C23C2 ⊆ Aut C141124C14.54(C2xD4)224,137
C14.55(C2×D4) = C2×C7⋊Q16φ: C2×D4/C23C2 ⊆ Aut C14224C14.55(C2xD4)224,138
C14.56(C2×D4) = Dic7⋊Q8φ: C2×D4/C23C2 ⊆ Aut C14224C14.56(C2xD4)224,139
C14.57(C2×D4) = D143Q8φ: C2×D4/C23C2 ⊆ Aut C14112C14.57(C2xD4)224,141
C14.58(C2×D4) = C28.23D4φ: C2×D4/C23C2 ⊆ Aut C14112C14.58(C2xD4)224,142
C14.59(C2×D4) = D4⋊D14φ: C2×D4/C23C2 ⊆ Aut C14564+C14.59(C2xD4)224,144
C14.60(C2×D4) = D4.8D14φ: C2×D4/C23C2 ⊆ Aut C141124C14.60(C2xD4)224,145
C14.61(C2×D4) = D4.9D14φ: C2×D4/C23C2 ⊆ Aut C141124-C14.61(C2xD4)224,146
C14.62(C2×D4) = C2×C23.D7φ: C2×D4/C23C2 ⊆ Aut C14112C14.62(C2xD4)224,147
C14.63(C2×D4) = C24⋊D7φ: C2×D4/C23C2 ⊆ Aut C1456C14.63(C2xD4)224,148
C14.64(C2×D4) = C14×C22⋊C4central extension (φ=1)112C14.64(C2xD4)224,150
C14.65(C2×D4) = C14×C4⋊C4central extension (φ=1)224C14.65(C2xD4)224,151
C14.66(C2×D4) = D4×C28central extension (φ=1)112C14.66(C2xD4)224,153
C14.67(C2×D4) = C7×C22≀C2central extension (φ=1)56C14.67(C2xD4)224,155
C14.68(C2×D4) = C7×C4⋊D4central extension (φ=1)112C14.68(C2xD4)224,156
C14.69(C2×D4) = C7×C22⋊Q8central extension (φ=1)112C14.69(C2xD4)224,157
C14.70(C2×D4) = C7×C22.D4central extension (φ=1)112C14.70(C2xD4)224,158
C14.71(C2×D4) = C7×C4.4D4central extension (φ=1)112C14.71(C2xD4)224,159
C14.72(C2×D4) = C7×C41D4central extension (φ=1)112C14.72(C2xD4)224,162
C14.73(C2×D4) = C7×C4⋊Q8central extension (φ=1)224C14.73(C2xD4)224,163
C14.74(C2×D4) = C14×D8central extension (φ=1)112C14.74(C2xD4)224,167
C14.75(C2×D4) = C14×SD16central extension (φ=1)112C14.75(C2xD4)224,168
C14.76(C2×D4) = C14×Q16central extension (φ=1)224C14.76(C2xD4)224,169
C14.77(C2×D4) = C7×C4○D8central extension (φ=1)1122C14.77(C2xD4)224,170
C14.78(C2×D4) = C7×C8⋊C22central extension (φ=1)564C14.78(C2xD4)224,171
C14.79(C2×D4) = C7×C8.C22central extension (φ=1)1124C14.79(C2xD4)224,172

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