# Extensions 1→N→G→Q→1 with N=Dic18 and Q=C6

Direct product G=N×Q with N=Dic18 and Q=C6
dρLabelID
C6×Dic18144C6xDic18432,340

Semidirect products G=N:Q with N=Dic18 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic181C6 = Dic18⋊C6φ: C6/C1C6 ⊆ Out Dic187212-Dic18:1C6432,154
Dic182C6 = Dic182C6φ: C6/C1C6 ⊆ Out Dic187212-Dic18:2C6432,363
Dic183C6 = Q8×C9⋊C6φ: C6/C1C6 ⊆ Out Dic187212-Dic18:3C6432,370
Dic184C6 = C722C6φ: C6/C1C6 ⊆ Out Dic18726Dic18:4C6432,122
Dic185C6 = C2×C36.C6φ: C6/C2C3 ⊆ Out Dic18144Dic18:5C6432,352
Dic186C6 = D366C6φ: C6/C2C3 ⊆ Out Dic18726Dic18:6C6432,355
Dic187C6 = C3×C72⋊C2φ: C6/C3C2 ⊆ Out Dic181442Dic18:7C6432,107
Dic188C6 = C3×D4.D9φ: C6/C3C2 ⊆ Out Dic18724Dic18:8C6432,148
Dic189C6 = C3×D42D9φ: C6/C3C2 ⊆ Out Dic18724Dic18:9C6432,357
Dic1810C6 = C3×Q8×D9φ: C6/C3C2 ⊆ Out Dic181444Dic18:10C6432,364
Dic1811C6 = C3×D365C2φ: trivial image722Dic18:11C6432,344

Non-split extensions G=N.Q with N=Dic18 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic18.1C6 = Dic18.C6φ: C6/C1C6 ⊆ Out Dic1814412-Dic18.1C6432,162
Dic18.2C6 = C72.C6φ: C6/C1C6 ⊆ Out Dic181446-Dic18.2C6432,119
Dic18.3C6 = C3×Dic36φ: C6/C3C2 ⊆ Out Dic181442Dic18.3C6432,104
Dic18.4C6 = C3×C9⋊Q16φ: C6/C3C2 ⊆ Out Dic181444Dic18.4C6432,156

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