# Extensions 1→N→G→Q→1 with N=C62 and Q=C6

Direct product G=N×Q with N=C62 and Q=C6
dρLabelID
C63216C6^3216,177

Semidirect products G=N:Q with N=C62 and Q=C6
extensionφ:Q→Aut NdρLabelID
C621C6 = D4×He3φ: C6/C1C6 ⊆ Aut C62366C6^2:1C6216,77
C622C6 = He36D4φ: C6/C1C6 ⊆ Aut C62366C6^2:2C6216,60
C623C6 = C62⋊C6φ: C6/C1C6 ⊆ Aut C62186+C6^2:3C6216,99
C624C6 = C22×C32⋊C6φ: C6/C1C6 ⊆ Aut C6236C6^2:4C6216,110
C625C6 = C3×S3×A4φ: C6/C1C6 ⊆ Aut C62246C6^2:5C6216,166
C626C6 = A4×C3⋊S3φ: C6/C1C6 ⊆ Aut C6236C6^2:6C6216,167
C627C6 = C2×C32⋊A4φ: C6/C2C3 ⊆ Aut C62183C6^2:7C6216,107
C628C6 = C23×He3φ: C6/C2C3 ⊆ Aut C6272C6^2:8C6216,115
C629C6 = A4×C3×C6φ: C6/C2C3 ⊆ Aut C6254C6^2:9C6216,173
C6210C6 = D4×C33φ: C6/C3C2 ⊆ Aut C62108C6^2:10C6216,151
C6211C6 = C32×C3⋊D4φ: C6/C3C2 ⊆ Aut C6236C6^2:11C6216,139
C6212C6 = C3×C327D4φ: C6/C3C2 ⊆ Aut C6236C6^2:12C6216,144
C6213C6 = S3×C62φ: C6/C3C2 ⊆ Aut C6272C6^2:13C6216,174
C6214C6 = C2×C6×C3⋊S3φ: C6/C3C2 ⊆ Aut C6272C6^2:14C6216,175

Non-split extensions G=N.Q with N=C62 and Q=C6
extensionφ:Q→Aut NdρLabelID
C62.1C6 = D4×3- 1+2φ: C6/C1C6 ⊆ Aut C62366C6^2.1C6216,78
C62.2C6 = C2×C32⋊C12φ: C6/C1C6 ⊆ Aut C6272C6^2.2C6216,59
C62.3C6 = S3×C3.A4φ: C6/C1C6 ⊆ Aut C62366C6^2.3C6216,98
C62.4C6 = C2×C4×He3φ: C6/C2C3 ⊆ Aut C6272C6^2.4C6216,74
C62.5C6 = C2×C4×3- 1+2φ: C6/C2C3 ⊆ Aut C6272C6^2.5C6216,75
C62.6C6 = C6×C3.A4φ: C6/C2C3 ⊆ Aut C6254C6^2.6C6216,105
C62.7C6 = C2×C32.A4φ: C6/C2C3 ⊆ Aut C62183C6^2.7C6216,106
C62.8C6 = C23×3- 1+2φ: C6/C2C3 ⊆ Aut C6272C6^2.8C6216,116
C62.9C6 = D4×C3×C9φ: C6/C3C2 ⊆ Aut C62108C6^2.9C6216,76
C62.10C6 = Dic3×C18φ: C6/C3C2 ⊆ Aut C6272C6^2.10C6216,56
C62.11C6 = C9×C3⋊D4φ: C6/C3C2 ⊆ Aut C62362C6^2.11C6216,58
C62.12C6 = S3×C2×C18φ: C6/C3C2 ⊆ Aut C6272C6^2.12C6216,109
C62.13C6 = Dic3×C3×C6φ: C6/C3C2 ⊆ Aut C6272C6^2.13C6216,138
C62.14C6 = C6×C3⋊Dic3φ: C6/C3C2 ⊆ Aut C6272C6^2.14C6216,143

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