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

Direct product G=N×Q with N=C22 and Q=C22×S3
dρLabelID
S3×C2448S3xC2^496,230

Semidirect products G=N:Q with N=C22 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C22⋊(C22×S3) = C22×S4φ: C22×S3/C22S3 ⊆ Aut C2212C2^2:(C2^2xS3)96,226
C222(C22×S3) = C2×S3×D4φ: C22×S3/D6C2 ⊆ Aut C2224C2^2:2(C2^2xS3)96,209
C223(C22×S3) = C22×C3⋊D4φ: C22×S3/C2×C6C2 ⊆ Aut C2248C2^2:3(C2^2xS3)96,219

Non-split extensions G=N.Q with N=C22 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C22.1(C22×S3) = C2×D42S3φ: C22×S3/D6C2 ⊆ Aut C2248C2^2.1(C2^2xS3)96,210
C22.2(C22×S3) = S3×C4○D4φ: C22×S3/D6C2 ⊆ Aut C22244C2^2.2(C2^2xS3)96,215
C22.3(C22×S3) = D4○D12φ: C22×S3/D6C2 ⊆ Aut C22244+C2^2.3(C2^2xS3)96,216
C22.4(C22×S3) = Q8○D12φ: C22×S3/D6C2 ⊆ Aut C22484-C2^2.4(C2^2xS3)96,217
C22.5(C22×S3) = C2×C4○D12φ: C22×S3/C2×C6C2 ⊆ Aut C2248C2^2.5(C2^2xS3)96,208
C22.6(C22×S3) = D46D6φ: C22×S3/C2×C6C2 ⊆ Aut C22244C2^2.6(C2^2xS3)96,211
C22.7(C22×S3) = Q8.15D6φ: C22×S3/C2×C6C2 ⊆ Aut C22484C2^2.7(C2^2xS3)96,214
C22.8(C22×S3) = C4×Dic6central extension (φ=1)96C2^2.8(C2^2xS3)96,75
C22.9(C22×S3) = S3×C42central extension (φ=1)48C2^2.9(C2^2xS3)96,78
C22.10(C22×S3) = C422S3central extension (φ=1)48C2^2.10(C2^2xS3)96,79
C22.11(C22×S3) = C4×D12central extension (φ=1)48C2^2.11(C2^2xS3)96,80
C22.12(C22×S3) = C23.16D6central extension (φ=1)48C2^2.12(C2^2xS3)96,84
C22.13(C22×S3) = S3×C22⋊C4central extension (φ=1)24C2^2.13(C2^2xS3)96,87
C22.14(C22×S3) = Dic34D4central extension (φ=1)48C2^2.14(C2^2xS3)96,88
C22.15(C22×S3) = Dic6⋊C4central extension (φ=1)96C2^2.15(C2^2xS3)96,94
C22.16(C22×S3) = S3×C4⋊C4central extension (φ=1)48C2^2.16(C2^2xS3)96,98
C22.17(C22×S3) = C4⋊C47S3central extension (φ=1)48C2^2.17(C2^2xS3)96,99
C22.18(C22×S3) = Dic35D4central extension (φ=1)48C2^2.18(C2^2xS3)96,100
C22.19(C22×S3) = C2×C4×Dic3central extension (φ=1)96C2^2.19(C2^2xS3)96,129
C22.20(C22×S3) = C2×Dic3⋊C4central extension (φ=1)96C2^2.20(C2^2xS3)96,130
C22.21(C22×S3) = C2×C4⋊Dic3central extension (φ=1)96C2^2.21(C2^2xS3)96,132
C22.22(C22×S3) = C23.26D6central extension (φ=1)48C2^2.22(C2^2xS3)96,133
C22.23(C22×S3) = C2×D6⋊C4central extension (φ=1)48C2^2.23(C2^2xS3)96,134
C22.24(C22×S3) = C4×C3⋊D4central extension (φ=1)48C2^2.24(C2^2xS3)96,135
C22.25(C22×S3) = D4×Dic3central extension (φ=1)48C2^2.25(C2^2xS3)96,141
C22.26(C22×S3) = Q8×Dic3central extension (φ=1)96C2^2.26(C2^2xS3)96,152
C22.27(C22×S3) = C2×C6.D4central extension (φ=1)48C2^2.27(C2^2xS3)96,159
C22.28(C22×S3) = C22×Dic6central extension (φ=1)96C2^2.28(C2^2xS3)96,205
C22.29(C22×S3) = S3×C22×C4central extension (φ=1)48C2^2.29(C2^2xS3)96,206
C22.30(C22×S3) = C22×D12central extension (φ=1)48C2^2.30(C2^2xS3)96,207
C22.31(C22×S3) = C2×S3×Q8central extension (φ=1)48C2^2.31(C2^2xS3)96,212
C22.32(C22×S3) = C2×Q83S3central extension (φ=1)48C2^2.32(C2^2xS3)96,213
C22.33(C22×S3) = C23×Dic3central extension (φ=1)96C2^2.33(C2^2xS3)96,218
C22.34(C22×S3) = C122Q8central stem extension (φ=1)96C2^2.34(C2^2xS3)96,76
C22.35(C22×S3) = C12.6Q8central stem extension (φ=1)96C2^2.35(C2^2xS3)96,77
C22.36(C22×S3) = C4⋊D12central stem extension (φ=1)48C2^2.36(C2^2xS3)96,81
C22.37(C22×S3) = C427S3central stem extension (φ=1)48C2^2.37(C2^2xS3)96,82
C22.38(C22×S3) = C423S3central stem extension (φ=1)48C2^2.38(C2^2xS3)96,83
C22.39(C22×S3) = Dic3.D4central stem extension (φ=1)48C2^2.39(C2^2xS3)96,85
C22.40(C22×S3) = C23.8D6central stem extension (φ=1)48C2^2.40(C2^2xS3)96,86
C22.41(C22×S3) = D6⋊D4central stem extension (φ=1)24C2^2.41(C2^2xS3)96,89
C22.42(C22×S3) = C23.9D6central stem extension (φ=1)48C2^2.42(C2^2xS3)96,90
C22.43(C22×S3) = Dic3⋊D4central stem extension (φ=1)48C2^2.43(C2^2xS3)96,91
C22.44(C22×S3) = C23.11D6central stem extension (φ=1)48C2^2.44(C2^2xS3)96,92
C22.45(C22×S3) = C23.21D6central stem extension (φ=1)48C2^2.45(C2^2xS3)96,93
C22.46(C22×S3) = C12⋊Q8central stem extension (φ=1)96C2^2.46(C2^2xS3)96,95
C22.47(C22×S3) = Dic3.Q8central stem extension (φ=1)96C2^2.47(C2^2xS3)96,96
C22.48(C22×S3) = C4.Dic6central stem extension (φ=1)96C2^2.48(C2^2xS3)96,97
C22.49(C22×S3) = D6.D4central stem extension (φ=1)48C2^2.49(C2^2xS3)96,101
C22.50(C22×S3) = C12⋊D4central stem extension (φ=1)48C2^2.50(C2^2xS3)96,102
C22.51(C22×S3) = D6⋊Q8central stem extension (φ=1)48C2^2.51(C2^2xS3)96,103
C22.52(C22×S3) = C4.D12central stem extension (φ=1)48C2^2.52(C2^2xS3)96,104
C22.53(C22×S3) = C4⋊C4⋊S3central stem extension (φ=1)48C2^2.53(C2^2xS3)96,105
C22.54(C22×S3) = C12.48D4central stem extension (φ=1)48C2^2.54(C2^2xS3)96,131
C22.55(C22×S3) = C23.28D6central stem extension (φ=1)48C2^2.55(C2^2xS3)96,136
C22.56(C22×S3) = C127D4central stem extension (φ=1)48C2^2.56(C2^2xS3)96,137
C22.57(C22×S3) = C23.23D6central stem extension (φ=1)48C2^2.57(C2^2xS3)96,142
C22.58(C22×S3) = C23.12D6central stem extension (φ=1)48C2^2.58(C2^2xS3)96,143
C22.59(C22×S3) = C232D6central stem extension (φ=1)24C2^2.59(C2^2xS3)96,144
C22.60(C22×S3) = D63D4central stem extension (φ=1)48C2^2.60(C2^2xS3)96,145
C22.61(C22×S3) = C23.14D6central stem extension (φ=1)48C2^2.61(C2^2xS3)96,146
C22.62(C22×S3) = C123D4central stem extension (φ=1)48C2^2.62(C2^2xS3)96,147
C22.63(C22×S3) = Dic3⋊Q8central stem extension (φ=1)96C2^2.63(C2^2xS3)96,151
C22.64(C22×S3) = D63Q8central stem extension (φ=1)48C2^2.64(C2^2xS3)96,153
C22.65(C22×S3) = C12.23D4central stem extension (φ=1)48C2^2.65(C2^2xS3)96,154
C22.66(C22×S3) = C244S3central stem extension (φ=1)24C2^2.66(C2^2xS3)96,160

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