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Extensions 1→N→G→Q→1 with N=D4⋊C4 and Q=C6

Direct product G=N×Q with N=D4⋊C4 and Q=C6
dρLabelID
C6×D4⋊C496C6xD4:C4192,847

Semidirect products G=N:Q with N=D4⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
D4⋊C4⋊1C6 = C3×C8⋊8D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:1C6192,898
D4⋊C4⋊2C6 = C3×C8⋊7D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:2C6192,899
D4⋊C4⋊3C6 = C3×C4.4D8φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:3C6192,919
D4⋊C4⋊4C6 = C3×C22⋊D8φ: C6/C3 → C2 ⊆ Out D4⋊C448D4:C4:4C6192,880
D4⋊C4⋊5C6 = C3×D4.7D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:5C6192,885
D4⋊C4⋊6C6 = C3×C4⋊D8φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:6C6192,892
D4⋊C4⋊7C6 = C3×C22.D8φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:7C6192,913
D4⋊C4⋊8C6 = C3×D4⋊D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:8C6192,882
D4⋊C4⋊9C6 = C3×C22⋊SD16φ: C6/C3 → C2 ⊆ Out D4⋊C448D4:C4:9C6192,883
D4⋊C4⋊10C6 = C3×C4⋊SD16φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:10C6192,893
D4⋊C4⋊11C6 = C3×D4.2D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:11C6192,896
D4⋊C4⋊12C6 = C3×C23.46D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:12C6192,914
D4⋊C4⋊13C6 = C3×C23.19D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:13C6192,915
D4⋊C4⋊14C6 = C3×C23.36D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:14C6192,850
D4⋊C4⋊15C6 = C3×C23.37D4φ: C6/C3 → C2 ⊆ Out D4⋊C448D4:C4:15C6192,851
D4⋊C4⋊16C6 = C3×D8⋊C4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:16C6192,875
D4⋊C4⋊17C6 = C3×C8⋊D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:17C6192,901
D4⋊C4⋊18C6 = C3×C8⋊2D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:18C6192,902
D4⋊C4⋊19C6 = C3×C42.29C22φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4:19C6192,923
D4⋊C4⋊20C6 = C3×C23.24D4φ: trivial image96D4:C4:20C6192,849
D4⋊C4⋊21C6 = C12×D8φ: trivial image96D4:C4:21C6192,870

Non-split extensions G=N.Q with N=D4⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
D4⋊C4.1C6 = C3×C42.78C22φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4.1C6192,921
D4⋊C4.2C6 = C3×Q8.D4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4.2C6192,897
D4⋊C4.3C6 = C3×D4⋊Q8φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4.3C6192,907
D4⋊C4.4C6 = C3×D4.Q8φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4.4C6192,911
D4⋊C4.5C6 = C3×D4⋊2Q8φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4.5C6192,909
D4⋊C4.6C6 = C3×SD16⋊C4φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4.6C6192,873
D4⋊C4.7C6 = C3×C42.28C22φ: C6/C3 → C2 ⊆ Out D4⋊C496D4:C4.7C6192,922
D4⋊C4.8C6 = C12×SD16φ: trivial image96D4:C4.8C6192,871

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