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Extensions 1→N→G→Q→1 with N=He3:C3 and Q=C6

Direct product G=NxQ with N=He3:C3 and Q=C6
dρLabelID
C6xHe3:C3162C6xHe3:C3486,212

Semidirect products G=N:Q with N=He3:C3 and Q=C6
extensionφ:Q→Out NdρLabelID
He3:C3:1C6 = He3.(C3xS3)φ: C6/C1 → C6 ⊆ Out He3:C32718+He3:C3:1C6486,131
He3:C3:2C6 = He3:(C3xS3)φ: C6/C1 → C6 ⊆ Out He3:C32718+He3:C3:2C6486,178
He3:C3:3C6 = He3.(C3xC6)φ: C6/C1 → C6 ⊆ Out He3:C3279He3:C3:3C6486,130
He3:C3:4C6 = C3wrC3.C6φ: C6/C1 → C6 ⊆ Out He3:C3279He3:C3:4C6486,132
He3:C3:5C6 = C2xC92:2C3φ: C6/C2 → C3 ⊆ Out He3:C3543He3:C3:5C6486,86
He3:C3:6C6 = C2xC32.He3φ: C6/C2 → C3 ⊆ Out He3:C3549He3:C3:6C6486,88
He3:C3:7C6 = C2xHe3:C32φ: C6/C2 → C3 ⊆ Out He3:C3549He3:C3:7C6486,217
He3:C3:8C6 = C2xC9.2He3φ: C6/C2 → C3 ⊆ Out He3:C3549He3:C3:8C6486,219
He3:C3:9C6 = C3xHe3.2C6φ: C6/C3 → C2 ⊆ Out He3:C381He3:C3:9C6486,121
He3:C3:10C6 = C3wrS3:3C3φ: C6/C3 → C2 ⊆ Out He3:C3273He3:C3:10C6486,125
He3:C3:11C6 = C3xHe3.2S3φ: C6/C3 → C2 ⊆ Out He3:C3546He3:C3:11C6486,122
He3:C3:12C6 = C3xHe3:S3φ: C6/C3 → C2 ⊆ Out He3:C3546He3:C3:12C6486,171
He3:C3:13C6 = C2xC9.He3φ: trivial image543He3:C3:13C6486,214

Non-split extensions G=N.Q with N=He3:C3 and Q=C6
extensionφ:Q→Out NdρLabelID
He3:C3.1C6 = C92:S3φ: C6/C1 → C6 ⊆ Out He3:C3276+He3:C3.1C6486,36
He3:C3.2C6 = C9:C9:S3φ: C6/C1 → C6 ⊆ Out He3:C32718+He3:C3.2C6486,41
He3:C3.3C6 = C2xC92:C3φ: C6/C2 → C3 ⊆ Out He3:C3543He3:C3.3C6486,85
He3:C3.4C6 = C2xC32.6He3φ: C6/C2 → C3 ⊆ Out He3:C3549He3:C3.4C6486,90

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