Extensions 1→N→G→Q→1 with N=C4 and Q=C22xS3

Direct product G=NxQ with N=C4 and Q=C22xS3
dρLabelID
S3xC22xC448S3xC2^2xC496,206

Semidirect products G=N:Q with N=C4 and Q=C22xS3
extensionφ:Q→Aut NdρLabelID
C4:1(C22xS3) = C2xS3xD4φ: C22xS3/D6C2 ⊆ Aut C424C4:1(C2^2xS3)96,209
C4:2(C22xS3) = C22xD12φ: C22xS3/C2xC6C2 ⊆ Aut C448C4:2(C2^2xS3)96,207

Non-split extensions G=N.Q with N=C4 and Q=C22xS3
extensionφ:Q→Aut NdρLabelID
C4.1(C22xS3) = S3xD8φ: C22xS3/D6C2 ⊆ Aut C4244+C4.1(C2^2xS3)96,117
C4.2(C22xS3) = D8:S3φ: C22xS3/D6C2 ⊆ Aut C4244C4.2(C2^2xS3)96,118
C4.3(C22xS3) = D8:3S3φ: C22xS3/D6C2 ⊆ Aut C4484-C4.3(C2^2xS3)96,119
C4.4(C22xS3) = S3xSD16φ: C22xS3/D6C2 ⊆ Aut C4244C4.4(C2^2xS3)96,120
C4.5(C22xS3) = Q8:3D6φ: C22xS3/D6C2 ⊆ Aut C4244+C4.5(C2^2xS3)96,121
C4.6(C22xS3) = D4.D6φ: C22xS3/D6C2 ⊆ Aut C4484-C4.6(C2^2xS3)96,122
C4.7(C22xS3) = Q8.7D6φ: C22xS3/D6C2 ⊆ Aut C4484C4.7(C2^2xS3)96,123
C4.8(C22xS3) = S3xQ16φ: C22xS3/D6C2 ⊆ Aut C4484-C4.8(C2^2xS3)96,124
C4.9(C22xS3) = Q16:S3φ: C22xS3/D6C2 ⊆ Aut C4484C4.9(C2^2xS3)96,125
C4.10(C22xS3) = D24:C2φ: C22xS3/D6C2 ⊆ Aut C4484+C4.10(C2^2xS3)96,126
C4.11(C22xS3) = C2xD4:S3φ: C22xS3/D6C2 ⊆ Aut C448C4.11(C2^2xS3)96,138
C4.12(C22xS3) = D12:6C22φ: C22xS3/D6C2 ⊆ Aut C4244C4.12(C2^2xS3)96,139
C4.13(C22xS3) = C2xD4.S3φ: C22xS3/D6C2 ⊆ Aut C448C4.13(C2^2xS3)96,140
C4.14(C22xS3) = C2xQ8:2S3φ: C22xS3/D6C2 ⊆ Aut C448C4.14(C2^2xS3)96,148
C4.15(C22xS3) = Q8.11D6φ: C22xS3/D6C2 ⊆ Aut C4484C4.15(C2^2xS3)96,149
C4.16(C22xS3) = C2xC3:Q16φ: C22xS3/D6C2 ⊆ Aut C496C4.16(C2^2xS3)96,150
C4.17(C22xS3) = D4:D6φ: C22xS3/D6C2 ⊆ Aut C4244+C4.17(C2^2xS3)96,156
C4.18(C22xS3) = Q8.13D6φ: C22xS3/D6C2 ⊆ Aut C4484C4.18(C2^2xS3)96,157
C4.19(C22xS3) = Q8.14D6φ: C22xS3/D6C2 ⊆ Aut C4484-C4.19(C2^2xS3)96,158
C4.20(C22xS3) = C2xD4:2S3φ: C22xS3/D6C2 ⊆ Aut C448C4.20(C2^2xS3)96,210
C4.21(C22xS3) = D4:6D6φ: C22xS3/D6C2 ⊆ Aut C4244C4.21(C2^2xS3)96,211
C4.22(C22xS3) = C2xS3xQ8φ: C22xS3/D6C2 ⊆ Aut C448C4.22(C2^2xS3)96,212
C4.23(C22xS3) = C2xQ8:3S3φ: C22xS3/D6C2 ⊆ Aut C448C4.23(C2^2xS3)96,213
C4.24(C22xS3) = Q8.15D6φ: C22xS3/D6C2 ⊆ Aut C4484C4.24(C2^2xS3)96,214
C4.25(C22xS3) = S3xC4oD4φ: C22xS3/D6C2 ⊆ Aut C4244C4.25(C2^2xS3)96,215
C4.26(C22xS3) = C2xC24:C2φ: C22xS3/C2xC6C2 ⊆ Aut C448C4.26(C2^2xS3)96,109
C4.27(C22xS3) = C2xD24φ: C22xS3/C2xC6C2 ⊆ Aut C448C4.27(C2^2xS3)96,110
C4.28(C22xS3) = C4oD24φ: C22xS3/C2xC6C2 ⊆ Aut C4482C4.28(C2^2xS3)96,111
C4.29(C22xS3) = C2xDic12φ: C22xS3/C2xC6C2 ⊆ Aut C496C4.29(C2^2xS3)96,112
C4.30(C22xS3) = C8:D6φ: C22xS3/C2xC6C2 ⊆ Aut C4244+C4.30(C2^2xS3)96,115
C4.31(C22xS3) = C8.D6φ: C22xS3/C2xC6C2 ⊆ Aut C4484-C4.31(C2^2xS3)96,116
C4.32(C22xS3) = C22xDic6φ: C22xS3/C2xC6C2 ⊆ Aut C496C4.32(C2^2xS3)96,205
C4.33(C22xS3) = D4oD12φ: C22xS3/C2xC6C2 ⊆ Aut C4244+C4.33(C2^2xS3)96,216
C4.34(C22xS3) = Q8oD12φ: C22xS3/C2xC6C2 ⊆ Aut C4484-C4.34(C2^2xS3)96,217
C4.35(C22xS3) = S3xC2xC8central extension (φ=1)48C4.35(C2^2xS3)96,106
C4.36(C22xS3) = C2xC8:S3central extension (φ=1)48C4.36(C2^2xS3)96,107
C4.37(C22xS3) = C8oD12central extension (φ=1)482C4.37(C2^2xS3)96,108
C4.38(C22xS3) = S3xM4(2)central extension (φ=1)244C4.38(C2^2xS3)96,113
C4.39(C22xS3) = D12.C4central extension (φ=1)484C4.39(C2^2xS3)96,114
C4.40(C22xS3) = C22xC3:C8central extension (φ=1)96C4.40(C2^2xS3)96,127
C4.41(C22xS3) = C2xC4.Dic3central extension (φ=1)48C4.41(C2^2xS3)96,128
C4.42(C22xS3) = D4.Dic3central extension (φ=1)484C4.42(C2^2xS3)96,155
C4.43(C22xS3) = C2xC4oD12central extension (φ=1)48C4.43(C2^2xS3)96,208

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