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

Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C12

Direct product G=N×Q with N=D4 and Q=C2×C12
dρLabelID
D4×C2×C1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=D4 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
D4⋊1(C2×C12) = C12×D8φ: C2×C12/C12 → C2 ⊆ Out D496D4:1(C2xC12)192,870
D4⋊2(C2×C12) = C3×D8⋊C4φ: C2×C12/C12 → C2 ⊆ Out D496D4:2(C2xC12)192,875
D4⋊3(C2×C12) = C6×D4⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out D496D4:3(C2xC12)192,847
D4⋊4(C2×C12) = C3×C23.36D4φ: C2×C12/C2×C6 → C2 ⊆ Out D496D4:4(C2xC12)192,850
D4⋊5(C2×C12) = C6×C4≀C2φ: C2×C12/C2×C6 → C2 ⊆ Out D448D4:5(C2xC12)192,853
D4⋊6(C2×C12) = C12×C4○D4φ: trivial image96D4:6(C2xC12)192,1406
D4⋊7(C2×C12) = C3×C22.11C24φ: trivial image48D4:7(C2xC12)192,1407
D4⋊8(C2×C12) = C3×C23.33C23φ: trivial image96D4:8(C2xC12)192,1409

Non-split extensions G=N.Q with N=D4 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
D4.1(C2×C12) = C12×SD16φ: C2×C12/C12 → C2 ⊆ Out D496D4.1(C2xC12)192,871
D4.2(C2×C12) = C3×SD16⋊C4φ: C2×C12/C12 → C2 ⊆ Out D496D4.2(C2xC12)192,873
D4.3(C2×C12) = C3×C8○D8φ: C2×C12/C12 → C2 ⊆ Out D4482D4.3(C2xC12)192,876
D4.4(C2×C12) = C3×C8.26D4φ: C2×C12/C12 → C2 ⊆ Out D4484D4.4(C2xC12)192,877
D4.5(C2×C12) = C3×C23.24D4φ: C2×C12/C2×C6 → C2 ⊆ Out D496D4.5(C2xC12)192,849
D4.6(C2×C12) = C3×C23.37D4φ: C2×C12/C2×C6 → C2 ⊆ Out D448D4.6(C2xC12)192,851
D4.7(C2×C12) = C3×C42⋊C22φ: C2×C12/C2×C6 → C2 ⊆ Out D4484D4.7(C2xC12)192,854
D4.8(C2×C12) = C6×C8○D4φ: trivial image96D4.8(C2xC12)192,1456
D4.9(C2×C12) = C3×Q8○M4(2)φ: trivial image484D4.9(C2xC12)192,1457

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁