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

Extensions 1→N→G→Q→1 with N=C3×Q8⋊2D5 and Q=C2

Direct product G=N×Q with N=C3×Q8⋊2D5 and Q=C2
dρLabelID
C6×Q8⋊2D5240C6xQ8:2D5480,1143

Semidirect products G=N:Q with N=C3×Q8⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Q8⋊2D5)⋊1C2 = D20⋊D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51208+(C3xQ8:2D5):1C2480,578
(C3×Q8⋊2D5)⋊2C2 = D20.14D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52408-(C3xQ8:2D5):2C2480,590
(C3×Q8⋊2D5)⋊3C2 = D20.D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52408+(C3xQ8:2D5):3C2480,592
(C3×Q8⋊2D5)⋊4C2 = D20.29D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52408-(C3xQ8:2D5):4C2480,1104
(C3×Q8⋊2D5)⋊5C2 = S3×Q8⋊2D5φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51208+(C3xQ8:2D5):5C2480,1109
(C3×Q8⋊2D5)⋊6C2 = D20⋊16D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51208-(C3xQ8:2D5):6C2480,1110
(C3×Q8⋊2D5)⋊7C2 = D20⋊17D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51208+(C3xQ8:2D5):7C2480,1111
(C3×Q8⋊2D5)⋊8C2 = C3×D40⋊C2φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51204(C3xQ8:2D5):8C2480,707
(C3×Q8⋊2D5)⋊9C2 = C3×SD16⋊3D5φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52404(C3xQ8:2D5):9C2480,709
(C3×Q8⋊2D5)⋊10C2 = C3×Q8.D10φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52404(C3xQ8:2D5):10C2480,712
(C3×Q8⋊2D5)⋊11C2 = C3×Q8.10D10φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52404(C3xQ8:2D5):11C2480,1144
(C3×Q8⋊2D5)⋊12C2 = C3×D4⋊8D10φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51204(C3xQ8:2D5):12C2480,1146
(C3×Q8⋊2D5)⋊13C2 = C3×D5×C4○D4φ: trivial image1204(C3xQ8:2D5):13C2480,1145

Non-split extensions G=N.Q with N=C3×Q8⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Q8⋊2D5).1C2 = D20.13D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52408-(C3xQ8:2D5).1C2480,584
(C3×Q8⋊2D5).2C2 = D20⋊2Dic3φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51208(C3xQ8:2D5).2C2480,315
(C3×Q8⋊2D5).3C2 = D20.Dic3φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52408(C3xQ8:2D5).3C2480,1068
(C3×Q8⋊2D5).4C2 = C3×Q16⋊D5φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52404(C3xQ8:2D5).4C2480,711
(C3×Q8⋊2D5).5C2 = C3×Q8⋊2F5φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D51208(C3xQ8:2D5).5C2480,290
(C3×Q8⋊2D5).6C2 = C3×Q8.F5φ: C2/C1 → C2 ⊆ Out C3×Q8⋊2D52408(C3xQ8:2D5).6C2480,1055

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁