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Extensions 1→N→G→Q→1 with N=C3×D4⋊2D5 and Q=C2

Direct product G=N×Q with N=C3×D4⋊2D5 and Q=C2
dρLabelID
C6×D4⋊2D5240C6xD4:2D5480,1140

Semidirect products G=N:Q with N=C3×D4⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D4⋊2D5)⋊1C2 = Dic10⋊3D6φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51208+(C3xD4:2D5):1C2480,554
(C3×D4⋊2D5)⋊2C2 = D12.24D10φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52408-(C3xD4:2D5):2C2480,566
(C3×D4⋊2D5)⋊3C2 = C60.16C23φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52408+(C3xD4:2D5):3C2480,568
(C3×D4⋊2D5)⋊4C2 = C15⋊2- 1+4φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52408-(C3xD4:2D5):4C2480,1096
(C3×D4⋊2D5)⋊5C2 = S3×D4⋊2D5φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51208-(C3xD4:2D5):5C2480,1099
(C3×D4⋊2D5)⋊6C2 = D30.C23φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51208+(C3xD4:2D5):6C2480,1100
(C3×D4⋊2D5)⋊7C2 = D12⋊14D10φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51208+(C3xD4:2D5):7C2480,1103
(C3×D4⋊2D5)⋊8C2 = C3×D8⋊D5φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51204(C3xD4:2D5):8C2480,704
(C3×D4⋊2D5)⋊9C2 = C3×D8⋊3D5φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52404(C3xD4:2D5):9C2480,705
(C3×D4⋊2D5)⋊10C2 = C3×SD16⋊3D5φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52404(C3xD4:2D5):10C2480,709
(C3×D4⋊2D5)⋊11C2 = C3×D4⋊6D10φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51204(C3xD4:2D5):11C2480,1141
(C3×D4⋊2D5)⋊12C2 = C3×D4.10D10φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52404(C3xD4:2D5):12C2480,1147
(C3×D4⋊2D5)⋊13C2 = C3×D5×C4○D4φ: trivial image1204(C3xD4:2D5):13C2480,1145

Non-split extensions G=N.Q with N=C3×D4⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D4⋊2D5).1C2 = C60.8C23φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52408-(C3xD4:2D5).1C2480,560
(C3×D4⋊2D5).2C2 = Dic10⋊Dic3φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51208(C3xD4:2D5).2C2480,313
(C3×D4⋊2D5).3C2 = Dic10.Dic3φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52408(C3xD4:2D5).3C2480,1066
(C3×D4⋊2D5).4C2 = C3×SD16⋊D5φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52404(C3xD4:2D5).4C2480,708
(C3×D4⋊2D5).5C2 = C3×D4⋊F5φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D51208(C3xD4:2D5).5C2480,288
(C3×D4⋊2D5).6C2 = C3×D4.F5φ: C2/C1 → C2 ⊆ Out C3×D4⋊2D52408(C3xD4:2D5).6C2480,1053

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