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

Direct product G=N×Q with N=C4⋊C8 and Q=C6
dρLabelID
C6×C4⋊C8192C6xC4:C8192,855

Semidirect products G=N:Q with N=C4⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊C8⋊1C6 = C3×D4⋊C8φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:1C6192,131
C4⋊C8⋊2C6 = C3×C4.D8φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:2C6192,137
C4⋊C8⋊3C6 = C3×C4⋊D8φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:3C6192,892
C4⋊C8⋊4C6 = C3×D4⋊Q8φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:4C6192,907
C4⋊C8⋊5C6 = C3×D4.2D4φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:5C6192,896
C4⋊C8⋊6C6 = C3×Q8.D4φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:6C6192,897
C4⋊C8⋊7C6 = C3×D4.Q8φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:7C6192,911
C4⋊C8⋊8C6 = C3×C4⋊SD16φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:8C6192,893
C4⋊C8⋊9C6 = C3×D4.D4φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:9C6192,894
C4⋊C8⋊10C6 = C3×D4⋊2Q8φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:10C6192,909
C4⋊C8⋊11C6 = C3×C4⋊M4(2)φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:11C6192,856
C4⋊C8⋊12C6 = C3×C42.6C22φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:12C6192,857
C4⋊C8⋊13C6 = C3×C42.6C4φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:13C6192,865
C4⋊C8⋊14C6 = C3×C42.7C22φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:14C6192,866
C4⋊C8⋊15C6 = C3×C8⋊9D4φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:15C6192,868
C4⋊C8⋊16C6 = C3×C8⋊6D4φ: C6/C3 → C2 ⊆ Out C4⋊C896C4:C8:16C6192,869
C4⋊C8⋊17C6 = C3×C42.12C4φ: trivial image96C4:C8:17C6192,864
C4⋊C8⋊18C6 = D4×C24φ: trivial image96C4:C8:18C6192,867

Non-split extensions G=N.Q with N=C4⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊C8.1C6 = C3×Q8⋊C8φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.1C6192,132
C4⋊C8.2C6 = C3×C4.10D8φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.2C6192,138
C4⋊C8.3C6 = C3×C4.6Q16φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.3C6192,139
C4⋊C8.4C6 = C3×C8⋊2C8φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.4C6192,140
C4⋊C8.5C6 = C3×C8⋊1C8φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.5C6192,141
C4⋊C8.6C6 = C3×C4⋊2Q16φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.6C6192,895
C4⋊C8.7C6 = C3×C4.Q16φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.7C6192,910
C4⋊C8.8C6 = C3×Q8.Q8φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.8C6192,912
C4⋊C8.9C6 = C3×Q8⋊Q8φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.9C6192,908
C4⋊C8.10C6 = C3×C8⋊4Q8φ: C6/C3 → C2 ⊆ Out C4⋊C8192C4:C8.10C6192,879
C4⋊C8.11C6 = Q8×C24φ: trivial image192C4:C8.11C6192,878

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