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

Extensions 1→N→G→Q→1 with N=C2.D16 and Q=C2

Direct product G=N×Q with N=C2.D16 and Q=C2
dρLabelID
C2×C2.D1664C2xC2.D16128,868

Semidirect products G=N:Q with N=C2.D16 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D16⋊1C2 = C16⋊7D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:1C2128,947
C2.D16⋊2C2 = C16⋊8D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:2C2128,949
C2.D16⋊3C2 = C4.4D16φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:3C2128,972
C2.D16⋊4C2 = D8⋊7D4φ: C2/C1 → C2 ⊆ Out C2.D1632C2.D16:4C2128,916
C2.D16⋊5C2 = D8.10D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:5C2128,921
C2.D16⋊6C2 = D8⋊2D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:6C2128,938
C2.D16⋊7C2 = C22.D16φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:7C2128,964
C2.D16⋊8C2 = C23.19D8φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:8C2128,966
C2.D16⋊9C2 = D8⋊8D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:9C2128,918
C2.D16⋊10C2 = D8.9D4φ: C2/C1 → C2 ⊆ Out C2.D1632C2.D16:10C2128,919
C2.D16⋊11C2 = Q16⋊2D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:11C2128,939
C2.D16⋊12C2 = D8.5D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:12C2128,942
C2.D16⋊13C2 = C23.49D8φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:13C2128,965
C2.D16⋊14C2 = C23.39D8φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:14C2128,871
C2.D16⋊15C2 = C23.40D8φ: C2/C1 → C2 ⊆ Out C2.D1632C2.D16:15C2128,872
C2.D16⋊16C2 = D16⋊4C4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:16C2128,909
C2.D16⋊17C2 = C16⋊D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:17C2128,950
C2.D16⋊18C2 = C16⋊2D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:18C2128,952
C2.D16⋊19C2 = C8.13SD16φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16:19C2128,976
C2.D16⋊20C2 = C23.24D8φ: trivial image64C2.D16:20C2128,870
C2.D16⋊21C2 = C4×D16φ: trivial image64C2.D16:21C2128,904

Non-split extensions G=N.Q with N=C2.D16 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.D16.1C2 = C8.22SD16φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16.1C2128,974
C2.D16.2C2 = Q16.5D4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16.2C2128,943
C2.D16.3C2 = D8⋊1Q8φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16.3C2128,956
C2.D16.4C2 = D8.Q8φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16.4C2128,960
C2.D16.5C2 = D8⋊Q8φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16.5C2128,958
C2.D16.6C2 = SD32⋊3C4φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16.6C2128,907
C2.D16.7C2 = C8.12SD16φ: C2/C1 → C2 ⊆ Out C2.D1664C2.D16.7C2128,975
C2.D16.8C2 = C4×SD32φ: trivial image64C2.D16.8C2128,905

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁