Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

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

Direct product G=N×Q with N=Q8⋊C4 and Q=C6
dρLabelID
C6×Q8⋊C4192C6xQ8:C4192,848

Semidirect products G=N:Q with N=Q8⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8⋊C4⋊1C6 = C3×C8⋊8D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:1C6192,898
Q8⋊C4⋊2C6 = C3×C8.18D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:2C6192,900
Q8⋊C4⋊3C6 = C3×C42.78C22φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:3C6192,921
Q8⋊C4⋊4C6 = C3×D4⋊D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:4C6192,882
Q8⋊C4⋊5C6 = C3×C22⋊Q16φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:5C6192,884
Q8⋊C4⋊6C6 = C3×D4.2D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:6C6192,896
Q8⋊C4⋊7C6 = C3×C23.48D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:7C6192,917
Q8⋊C4⋊8C6 = C3×C23.20D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:8C6192,918
Q8⋊C4⋊9C6 = C3×Q8⋊D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:9C6192,881
Q8⋊C4⋊10C6 = C3×D4.7D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:10C6192,885
Q8⋊C4⋊11C6 = C3×D4.D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:11C6192,894
Q8⋊C4⋊12C6 = C3×Q8.D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:12C6192,897
Q8⋊C4⋊13C6 = C3×C23.47D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:13C6192,916
Q8⋊C4⋊14C6 = C3×C23.36D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:14C6192,850
Q8⋊C4⋊15C6 = C3×C23.38D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:15C6192,852
Q8⋊C4⋊16C6 = C3×SD16⋊C4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:16C6192,873
Q8⋊C4⋊17C6 = C3×C8⋊D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:17C6192,901
Q8⋊C4⋊18C6 = C3×C8.D4φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:18C6192,903
Q8⋊C4⋊19C6 = C3×C42.28C22φ: C6/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:19C6192,922
Q8⋊C4⋊20C6 = C3×C23.24D4φ: trivial image96Q8:C4:20C6192,849
Q8⋊C4⋊21C6 = C12×SD16φ: trivial image96Q8:C4:21C6192,871

Non-split extensions G=N.Q with N=Q8⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
Q8⋊C4.1C6 = C3×C4.SD16φ: C6/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.1C6192,920
Q8⋊C4.2C6 = C3×C4⋊2Q16φ: C6/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.2C6192,895
Q8⋊C4.3C6 = C3×C4.Q16φ: C6/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.3C6192,910
Q8⋊C4.4C6 = C3×Q8⋊Q8φ: C6/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.4C6192,908
Q8⋊C4.5C6 = C3×Q8.Q8φ: C6/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.5C6192,912
Q8⋊C4.6C6 = C3×Q16⋊C4φ: C6/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.6C6192,874
Q8⋊C4.7C6 = C3×C42.30C22φ: C6/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.7C6192,924
Q8⋊C4.8C6 = C12×Q16φ: trivial image192Q8:C4.8C6192,872

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁