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

Extensions 1→N→G→Q→1 with N=C6.D4 and Q=C10

Direct product G=N×Q with N=C6.D4 and Q=C10
dρLabelID
C10×C6.D4240C10xC6.D4480,831

Semidirect products G=N:Q with N=C6.D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C6.D4⋊1C10 = C5×C23.6D6φ: C10/C5 → C2 ⊆ Out C6.D41204C6.D4:1C10480,125
C6.D4⋊2C10 = C5×C23.7D6φ: C10/C5 → C2 ⊆ Out C6.D41204C6.D4:2C10480,153
C6.D4⋊3C10 = C5×S3×C22⋊C4φ: C10/C5 → C2 ⊆ Out C6.D4120C6.D4:3C10480,759
C6.D4⋊4C10 = C5×C23.9D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:4C10480,762
C6.D4⋊5C10 = C5×C23.11D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:5C10480,764
C6.D4⋊6C10 = C5×C23.28D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:6C10480,808
C6.D4⋊7C10 = C5×D4×Dic3φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:7C10480,813
C6.D4⋊8C10 = C5×C23.23D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:8C10480,814
C6.D4⋊9C10 = C5×C23.12D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:9C10480,815
C6.D4⋊10C10 = C5×C23⋊2D6φ: C10/C5 → C2 ⊆ Out C6.D4120C6.D4:10C10480,816
C6.D4⋊11C10 = C5×D6⋊3D4φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:11C10480,817
C6.D4⋊12C10 = C5×C23.14D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4:12C10480,818
C6.D4⋊13C10 = C5×C24⋊4S3φ: C10/C5 → C2 ⊆ Out C6.D4120C6.D4:13C10480,832
C6.D4⋊14C10 = C20×C3⋊D4φ: trivial image240C6.D4:14C10480,807

Non-split extensions G=N.Q with N=C6.D4 and Q=C10
extensionφ:Q→Out NdρLabelID
C6.D4.1C10 = C5×C23.16D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4.1C10480,756
C6.D4.2C10 = C5×Dic3.D4φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4.2C10480,757
C6.D4.3C10 = C5×C23.8D6φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4.3C10480,758
C6.D4.4C10 = C5×C12.48D4φ: C10/C5 → C2 ⊆ Out C6.D4240C6.D4.4C10480,803
C6.D4.5C10 = C5×C23.26D6φ: trivial image240C6.D4.5C10480,805

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁