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

Direct product G=N×Q with N=He3.C3 and Q=C6
dρLabelID
C6×He3.C3162C6xHe3.C3486,211

Semidirect products G=N:Q with N=He3.C3 and Q=C6
extensionφ:Q→Out NdρLabelID
He3.C3⋊1C6 = C9⋊S3⋊C32φ: C6/C1 → C6 ⊆ Out He3.C32718+He3.C3:1C6486,129
He3.C3⋊2C6 = He3.C3⋊2C6φ: C6/C1 → C6 ⊆ Out He3.C32718+He3.C3:2C6486,177
He3.C3⋊3C6 = He3.C3⋊C6φ: C6/C1 → C6 ⊆ Out He3.C3279He3.C3:3C6486,128
He3.C3⋊4C6 = C3≀C3.C6φ: C6/C1 → C6 ⊆ Out He3.C3279He3.C3:4C6486,132
He3.C3⋊5C6 = C2×He3.C32φ: C6/C2 → C3 ⊆ Out He3.C3549He3.C3:5C6486,216
He3.C3⋊6C6 = C2×C9.2He3φ: C6/C2 → C3 ⊆ Out He3.C3549He3.C3:6C6486,219
He3.C3⋊7C6 = C3×He3.3S3φ: C6/C3 → C2 ⊆ Out He3.C3546He3.C3:7C6486,168
He3.C3⋊8C6 = C3×He3.S3φ: C6/C3 → C2 ⊆ Out He3.C3546He3.C3:8C6486,119
He3.C3⋊9C6 = C3×He3.C6φ: C6/C3 → C2 ⊆ Out He3.C381He3.C3:9C6486,118
He3.C3⋊10C6 = C3≀S3⋊3C3φ: C6/C3 → C2 ⊆ Out He3.C3273He3.C3:10C6486,125
He3.C3⋊11C6 = C2×C9.He3φ: trivial image543He3.C3:11C6486,214


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