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Extensions 1→N→G→Q→1 with N=C8⋊C4 and Q=C6

Direct product G=N×Q with N=C8⋊C4 and Q=C6
dρLabelID
C6×C8⋊C4192C6xC8:C4192,836

Semidirect products G=N:Q with N=C8⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
C8⋊C4⋊1C6 = C3×SD16⋊C4φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:1C6192,873
C8⋊C4⋊2C6 = C3×D8⋊C4φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:2C6192,875
C8⋊C4⋊3C6 = C3×C8.26D4φ: C6/C3 → C2 ⊆ Out C8⋊C4484C8:C4:3C6192,877
C8⋊C4⋊4C6 = C3×C8⋊3D4φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:4C6192,929
C8⋊C4⋊5C6 = C3×C8.2D4φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:5C6192,930
C8⋊C4⋊6C6 = C3×C42.C22φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:6C6192,135
C8⋊C4⋊7C6 = C3×C42.6C4φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:7C6192,865
C8⋊C4⋊8C6 = C3×C42.7C22φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:8C6192,866
C8⋊C4⋊9C6 = C3×C8⋊9D4φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:9C6192,868
C8⋊C4⋊10C6 = C3×C42.28C22φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:10C6192,922
C8⋊C4⋊11C6 = C3×C42.29C22φ: C6/C3 → C2 ⊆ Out C8⋊C496C8:C4:11C6192,923
C8⋊C4⋊12C6 = C12×M4(2)φ: trivial image96C8:C4:12C6192,837
C8⋊C4⋊13C6 = C3×C8○2M4(2)φ: trivial image96C8:C4:13C6192,838

Non-split extensions G=N.Q with N=C8⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
C8⋊C4.1C6 = C3×Q16⋊C4φ: C6/C3 → C2 ⊆ Out C8⋊C4192C8:C4.1C6192,874
C8⋊C4.2C6 = C3×C8⋊Q8φ: C6/C3 → C2 ⊆ Out C8⋊C4192C8:C4.2C6192,934
C8⋊C4.3C6 = C3×C42.2C22φ: C6/C3 → C2 ⊆ Out C8⋊C4192C8:C4.3C6192,136
C8⋊C4.4C6 = C3×C16⋊C4φ: C6/C3 → C2 ⊆ Out C8⋊C4484C8:C4.4C6192,153
C8⋊C4.5C6 = C3×C8⋊4Q8φ: C6/C3 → C2 ⊆ Out C8⋊C4192C8:C4.5C6192,879
C8⋊C4.6C6 = C3×C42.30C22φ: C6/C3 → C2 ⊆ Out C8⋊C4192C8:C4.6C6192,924

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