Extensions 1→N→G→Q→1 with N=C33 and Q=D6

Direct product G=NxQ with N=C33 and Q=D6
dρLabelID
S3xC32xC6108S3xC3^2xC6324,172

Semidirect products G=N:Q with N=C33 and Q=D6
extensionφ:Q→Aut NdρLabelID
C33:1D6 = He3:D6φ: D6/C1D6 ⊆ Aut C3396+C3^3:1D6324,39
C33:2D6 = S3xC32:C6φ: D6/C1D6 ⊆ Aut C331812+C3^3:2D6324,116
C33:3D6 = C3xC32:D6φ: D6/C1D6 ⊆ Aut C33186C3^3:3D6324,117
C33:4D6 = He3:5D6φ: D6/C1D6 ⊆ Aut C331812+C3^3:4D6324,121
C33:5D6 = S3xHe3:C2φ: D6/C1D6 ⊆ Aut C33186C3^3:5D6324,122
C33:6D6 = He3:6D6φ: D6/C1D6 ⊆ Aut C3327C3^3:6D6324,124
C33:7D6 = C2xC3wrS3φ: D6/C2S3 ⊆ Aut C33183C3^3:7D6324,68
C33:8D6 = C2xC33:S3φ: D6/C2S3 ⊆ Aut C33186+C3^3:8D6324,77
C33:9D6 = C6xC32:C6φ: D6/C2S3 ⊆ Aut C33366C3^3:9D6324,138
C33:10D6 = C2xHe3:4S3φ: D6/C2S3 ⊆ Aut C3354C3^3:10D6324,144
C33:11D6 = C6xHe3:C2φ: D6/C2S3 ⊆ Aut C3354C3^3:11D6324,145
C33:12D6 = C2xHe3:5S3φ: D6/C2S3 ⊆ Aut C33366C3^3:12D6324,150
C33:13D6 = C3xS3xC3:S3φ: D6/C3C22 ⊆ Aut C3336C3^3:13D6324,166
C33:14D6 = C3xC32:4D6φ: D6/C3C22 ⊆ Aut C33124C3^3:14D6324,167
C33:15D6 = S3xC33:C2φ: D6/C3C22 ⊆ Aut C3354C3^3:15D6324,168
C33:16D6 = C3:S32φ: D6/C3C22 ⊆ Aut C3318C3^3:16D6324,169
C33:17D6 = C33:17D6φ: D6/C3C22 ⊆ Aut C3336C3^3:17D6324,170
C33:18D6 = S32xC32φ: D6/S3C2 ⊆ Aut C3336C3^3:18D6324,165
C33:19D6 = C3:S3xC3xC6φ: D6/C6C2 ⊆ Aut C3336C3^3:19D6324,173
C33:20D6 = C6xC33:C2φ: D6/C6C2 ⊆ Aut C33108C3^3:20D6324,174
C33:21D6 = C2xC34:C2φ: D6/C6C2 ⊆ Aut C33162C3^3:21D6324,175

Non-split extensions G=N.Q with N=C33 and Q=D6
extensionφ:Q→Aut NdρLabelID
C33.1D6 = C32:D18φ: D6/C1D6 ⊆ Aut C331812+C3^3.1D6324,37
C33.2D6 = S3xC9:C6φ: D6/C1D6 ⊆ Aut C331812+C3^3.2D6324,118
C33.3D6 = C2xC32:D9φ: D6/C2S3 ⊆ Aut C3354C3^3.3D6324,63
C33.4D6 = C2xC32:2D9φ: D6/C2S3 ⊆ Aut C33366C3^3.4D6324,75
C33.5D6 = C6xC9:C6φ: D6/C2S3 ⊆ Aut C33366C3^3.5D6324,140
C33.6D6 = C2xC33.S3φ: D6/C2S3 ⊆ Aut C3354C3^3.6D6324,146
C33.7D6 = C3xS3xD9φ: D6/C3C22 ⊆ Aut C33364C3^3.7D6324,114
C33.8D6 = D9xC3:S3φ: D6/C3C22 ⊆ Aut C3354C3^3.8D6324,119
C33.9D6 = S3xC9:S3φ: D6/C3C22 ⊆ Aut C3354C3^3.9D6324,120
C33.10D6 = C32:5D18φ: D6/C3C22 ⊆ Aut C33364C3^3.10D6324,123
C33.11D6 = D9xC3xC6φ: D6/C6C2 ⊆ Aut C33108C3^3.11D6324,136
C33.12D6 = C6xC9:S3φ: D6/C6C2 ⊆ Aut C33108C3^3.12D6324,142
C33.13D6 = C2xC32:4D9φ: D6/C6C2 ⊆ Aut C33162C3^3.13D6324,149

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