# Extensions 1→N→G→Q→1 with N=C14 and Q=C22×S3

Direct product G=N×Q with N=C14 and Q=C22×S3
dρLabelID
S3×C22×C14168S3xC2^2xC14336,226

Semidirect products G=N:Q with N=C14 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C141(C22×S3) = C22×S3×D7φ: C22×S3/D6C2 ⊆ Aut C1484C14:1(C2^2xS3)336,219
C142(C22×S3) = C23×D21φ: C22×S3/C2×C6C2 ⊆ Aut C14168C14:2(C2^2xS3)336,227

Non-split extensions G=N.Q with N=C14 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C14.1(C22×S3) = D7×Dic6φ: C22×S3/D6C2 ⊆ Aut C141684-C14.1(C2^2xS3)336,137
C14.2(C22×S3) = D285S3φ: C22×S3/D6C2 ⊆ Aut C141684-C14.2(C2^2xS3)336,138
C14.3(C22×S3) = D28⋊S3φ: C22×S3/D6C2 ⊆ Aut C141684C14.3(C2^2xS3)336,139
C14.4(C22×S3) = S3×Dic14φ: C22×S3/D6C2 ⊆ Aut C141684-C14.4(C2^2xS3)336,140
C14.5(C22×S3) = D12⋊D7φ: C22×S3/D6C2 ⊆ Aut C141684C14.5(C2^2xS3)336,141
C14.6(C22×S3) = D84⋊C2φ: C22×S3/D6C2 ⊆ Aut C141684+C14.6(C2^2xS3)336,142
C14.7(C22×S3) = D21⋊Q8φ: C22×S3/D6C2 ⊆ Aut C141684C14.7(C2^2xS3)336,143
C14.8(C22×S3) = D6.D14φ: C22×S3/D6C2 ⊆ Aut C141684C14.8(C2^2xS3)336,144
C14.9(C22×S3) = D125D7φ: C22×S3/D6C2 ⊆ Aut C141684-C14.9(C2^2xS3)336,145
C14.10(C22×S3) = D14.D6φ: C22×S3/D6C2 ⊆ Aut C141684+C14.10(C2^2xS3)336,146
C14.11(C22×S3) = C4×S3×D7φ: C22×S3/D6C2 ⊆ Aut C14844C14.11(C2^2xS3)336,147
C14.12(C22×S3) = D7×D12φ: C22×S3/D6C2 ⊆ Aut C14844+C14.12(C2^2xS3)336,148
C14.13(C22×S3) = S3×D28φ: C22×S3/D6C2 ⊆ Aut C14844+C14.13(C2^2xS3)336,149
C14.14(C22×S3) = C28⋊D6φ: C22×S3/D6C2 ⊆ Aut C14844C14.14(C2^2xS3)336,150
C14.15(C22×S3) = C2×Dic3×D7φ: C22×S3/D6C2 ⊆ Aut C14168C14.15(C2^2xS3)336,151
C14.16(C22×S3) = Dic7.D6φ: C22×S3/D6C2 ⊆ Aut C141684C14.16(C2^2xS3)336,152
C14.17(C22×S3) = C42.C23φ: C22×S3/D6C2 ⊆ Aut C141684-C14.17(C2^2xS3)336,153
C14.18(C22×S3) = C2×S3×Dic7φ: C22×S3/D6C2 ⊆ Aut C14168C14.18(C2^2xS3)336,154
C14.19(C22×S3) = Dic3.D14φ: C22×S3/D6C2 ⊆ Aut C141684C14.19(C2^2xS3)336,155
C14.20(C22×S3) = C2×D21⋊C4φ: C22×S3/D6C2 ⊆ Aut C14168C14.20(C2^2xS3)336,156
C14.21(C22×S3) = C2×C21⋊D4φ: C22×S3/D6C2 ⊆ Aut C14168C14.21(C2^2xS3)336,157
C14.22(C22×S3) = C2×C3⋊D28φ: C22×S3/D6C2 ⊆ Aut C14168C14.22(C2^2xS3)336,158
C14.23(C22×S3) = C2×C7⋊D12φ: C22×S3/D6C2 ⊆ Aut C14168C14.23(C2^2xS3)336,159
C14.24(C22×S3) = C2×C21⋊Q8φ: C22×S3/D6C2 ⊆ Aut C14336C14.24(C2^2xS3)336,160
C14.25(C22×S3) = D7×C3⋊D4φ: C22×S3/D6C2 ⊆ Aut C14844C14.25(C2^2xS3)336,161
C14.26(C22×S3) = S3×C7⋊D4φ: C22×S3/D6C2 ⊆ Aut C14844C14.26(C2^2xS3)336,162
C14.27(C22×S3) = D6⋊D14φ: C22×S3/D6C2 ⊆ Aut C14844+C14.27(C2^2xS3)336,163
C14.28(C22×S3) = C2×Dic42φ: C22×S3/C2×C6C2 ⊆ Aut C14336C14.28(C2^2xS3)336,194
C14.29(C22×S3) = C2×C4×D21φ: C22×S3/C2×C6C2 ⊆ Aut C14168C14.29(C2^2xS3)336,195
C14.30(C22×S3) = C2×D84φ: C22×S3/C2×C6C2 ⊆ Aut C14168C14.30(C2^2xS3)336,196
C14.31(C22×S3) = D8411C2φ: C22×S3/C2×C6C2 ⊆ Aut C141682C14.31(C2^2xS3)336,197
C14.32(C22×S3) = D4×D21φ: C22×S3/C2×C6C2 ⊆ Aut C14844+C14.32(C2^2xS3)336,198
C14.33(C22×S3) = D42D21φ: C22×S3/C2×C6C2 ⊆ Aut C141684-C14.33(C2^2xS3)336,199
C14.34(C22×S3) = Q8×D21φ: C22×S3/C2×C6C2 ⊆ Aut C141684-C14.34(C2^2xS3)336,200
C14.35(C22×S3) = Q83D21φ: C22×S3/C2×C6C2 ⊆ Aut C141684+C14.35(C2^2xS3)336,201
C14.36(C22×S3) = C22×Dic21φ: C22×S3/C2×C6C2 ⊆ Aut C14336C14.36(C2^2xS3)336,202
C14.37(C22×S3) = C2×C217D4φ: C22×S3/C2×C6C2 ⊆ Aut C14168C14.37(C2^2xS3)336,203
C14.38(C22×S3) = C14×Dic6central extension (φ=1)336C14.38(C2^2xS3)336,184
C14.39(C22×S3) = S3×C2×C28central extension (φ=1)168C14.39(C2^2xS3)336,185
C14.40(C22×S3) = C14×D12central extension (φ=1)168C14.40(C2^2xS3)336,186
C14.41(C22×S3) = C7×C4○D12central extension (φ=1)1682C14.41(C2^2xS3)336,187
C14.42(C22×S3) = S3×C7×D4central extension (φ=1)844C14.42(C2^2xS3)336,188
C14.43(C22×S3) = C7×D42S3central extension (φ=1)1684C14.43(C2^2xS3)336,189
C14.44(C22×S3) = S3×C7×Q8central extension (φ=1)1684C14.44(C2^2xS3)336,190
C14.45(C22×S3) = C7×Q83S3central extension (φ=1)1684C14.45(C2^2xS3)336,191
C14.46(C22×S3) = Dic3×C2×C14central extension (φ=1)336C14.46(C2^2xS3)336,192
C14.47(C22×S3) = C14×C3⋊D4central extension (φ=1)168C14.47(C2^2xS3)336,193

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