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Extensions 1→N→G→Q→1 with N=C4⋊Q8 and Q=C6

Direct product G=N×Q with N=C4⋊Q8 and Q=C6
dρLabelID
C6×C4⋊Q8192C6xC4:Q8192,1420

Semidirect products G=N:Q with N=C4⋊Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊Q8⋊1C6 = C3×D4.10D4φ: C6/C3 → C2 ⊆ Out C4⋊Q8484C4:Q8:1C6192,889
C4⋊Q8⋊2C6 = C3×D4.D4φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:2C6192,894
C4⋊Q8⋊3C6 = C3×D4⋊Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:3C6192,907
C4⋊Q8⋊4C6 = C3×D4⋊2Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:4C6192,909
C4⋊Q8⋊5C6 = C3×C4.4D8φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:5C6192,919
C4⋊Q8⋊6C6 = C3×C42.28C22φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:6C6192,922
C4⋊Q8⋊7C6 = C3×C8⋊5D4φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:7C6192,925
C4⋊Q8⋊8C6 = C3×C8.2D4φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:8C6192,930
C4⋊Q8⋊9C6 = C3×C23.38C23φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:9C6192,1425
C4⋊Q8⋊10C6 = C3×C22.35C24φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:10C6192,1430
C4⋊Q8⋊11C6 = C3×C22.36C24φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:11C6192,1431
C4⋊Q8⋊12C6 = C3×C23.41C23φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:12C6192,1433
C4⋊Q8⋊13C6 = C3×D4⋊6D4φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:13C6192,1436
C4⋊Q8⋊14C6 = C3×D4×Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:14C6192,1438
C4⋊Q8⋊15C6 = C3×D4⋊3Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:15C6192,1443
C4⋊Q8⋊16C6 = C3×C22.49C24φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:16C6192,1444
C4⋊Q8⋊17C6 = C3×C22.50C24φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:17C6192,1445
C4⋊Q8⋊18C6 = C3×C22.57C24φ: C6/C3 → C2 ⊆ Out C4⋊Q896C4:Q8:18C6192,1452
C4⋊Q8⋊19C6 = C3×C22.26C24φ: trivial image96C4:Q8:19C6192,1421
C4⋊Q8⋊20C6 = C3×C23.37C23φ: trivial image96C4:Q8:20C6192,1422

Non-split extensions G=N.Q with N=C4⋊Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
C4⋊Q8.1C6 = C3×C4.10D8φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.1C6192,138
C4⋊Q8.2C6 = C3×C4.6Q16φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.2C6192,139
C4⋊Q8.3C6 = C3×C42.3C4φ: C6/C3 → C2 ⊆ Out C4⋊Q8484C4:Q8.3C6192,162
C4⋊Q8.4C6 = C3×C4⋊2Q16φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.4C6192,895
C4⋊Q8.5C6 = C3×Q8⋊Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.5C6192,908
C4⋊Q8.6C6 = C3×C4.Q16φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.6C6192,910
C4⋊Q8.7C6 = C3×C4.SD16φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.7C6192,920
C4⋊Q8.8C6 = C3×C42.30C22φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.8C6192,924
C4⋊Q8.9C6 = C3×C4⋊Q16φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.9C6192,927
C4⋊Q8.10C6 = C3×C8⋊3Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.10C6192,931
C4⋊Q8.11C6 = C3×C8⋊2Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.11C6192,933
C4⋊Q8.12C6 = C3×C8⋊Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.12C6192,934
C4⋊Q8.13C6 = C3×Q8⋊3Q8φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.13C6192,1446
C4⋊Q8.14C6 = C3×Q82φ: C6/C3 → C2 ⊆ Out C4⋊Q8192C4:Q8.14C6192,1447

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