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Extensions 1→N→G→Q→1 with N=C6 and Q=C2xC3:S3

Direct product G=NxQ with N=C6 and Q=C2xC3:S3
dρLabelID
C2xC6xC3:S372C2xC6xC3:S3216,175

Semidirect products G=N:Q with N=C6 and Q=C2xC3:S3
extensionφ:Q→Aut NdρLabelID
C6:1(C2xC3:S3) = C2xS3xC3:S3φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C636C6:1(C2xC3:S3)216,171
C6:2(C2xC3:S3) = C22xC33:C2φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6:2(C2xC3:S3)216,176

Non-split extensions G=N.Q with N=C6 and Q=C2xC3:S3
extensionφ:Q→Aut NdρLabelID
C6.1(C2xC3:S3) = S3xC3:Dic3φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C672C6.1(C2xC3:S3)216,124
C6.2(C2xC3:S3) = Dic3xC3:S3φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C672C6.2(C2xC3:S3)216,125
C6.3(C2xC3:S3) = C33:8(C2xC4)φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C636C6.3(C2xC3:S3)216,126
C6.4(C2xC3:S3) = C33:6D4φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C672C6.4(C2xC3:S3)216,127
C6.5(C2xC3:S3) = C33:7D4φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C636C6.5(C2xC3:S3)216,128
C6.6(C2xC3:S3) = C33:8D4φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C636C6.6(C2xC3:S3)216,129
C6.7(C2xC3:S3) = C33:4Q8φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C672C6.7(C2xC3:S3)216,130
C6.8(C2xC3:S3) = C12.D9φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6216C6.8(C2xC3:S3)216,63
C6.9(C2xC3:S3) = C4xC9:S3φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6.9(C2xC3:S3)216,64
C6.10(C2xC3:S3) = C36:S3φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6.10(C2xC3:S3)216,65
C6.11(C2xC3:S3) = C2xC9:Dic3φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6216C6.11(C2xC3:S3)216,69
C6.12(C2xC3:S3) = C6.D18φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6.12(C2xC3:S3)216,70
C6.13(C2xC3:S3) = C22xC9:S3φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6.13(C2xC3:S3)216,112
C6.14(C2xC3:S3) = C33:8Q8φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6216C6.14(C2xC3:S3)216,145
C6.15(C2xC3:S3) = C4xC33:C2φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6.15(C2xC3:S3)216,146
C6.16(C2xC3:S3) = C33:12D4φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6.16(C2xC3:S3)216,147
C6.17(C2xC3:S3) = C2xC33:5C4φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6216C6.17(C2xC3:S3)216,148
C6.18(C2xC3:S3) = C33:15D4φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C6108C6.18(C2xC3:S3)216,149
C6.19(C2xC3:S3) = C4xHe3:C2central extension (φ=1)363C6.19(C2xC3:S3)216,67
C6.20(C2xC3:S3) = C2xHe3:3C4central extension (φ=1)72C6.20(C2xC3:S3)216,71
C6.21(C2xC3:S3) = C22xHe3:C2central extension (φ=1)36C6.21(C2xC3:S3)216,113
C6.22(C2xC3:S3) = C3xC32:4Q8central extension (φ=1)72C6.22(C2xC3:S3)216,140
C6.23(C2xC3:S3) = C12xC3:S3central extension (φ=1)72C6.23(C2xC3:S3)216,141
C6.24(C2xC3:S3) = C3xC12:S3central extension (φ=1)72C6.24(C2xC3:S3)216,142
C6.25(C2xC3:S3) = C6xC3:Dic3central extension (φ=1)72C6.25(C2xC3:S3)216,143
C6.26(C2xC3:S3) = C3xC32:7D4central extension (φ=1)36C6.26(C2xC3:S3)216,144
C6.27(C2xC3:S3) = He3:4Q8central stem extension (φ=1)726C6.27(C2xC3:S3)216,66
C6.28(C2xC3:S3) = He3:5D4central stem extension (φ=1)366C6.28(C2xC3:S3)216,68
C6.29(C2xC3:S3) = He3:7D4central stem extension (φ=1)366C6.29(C2xC3:S3)216,72

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