# Extensions 1→N→G→Q→1 with N=C6.D4 and Q=D5

Direct product G=N×Q with N=C6.D4 and Q=D5
dρLabelID
D5×C6.D4120D5xC6.D4480,623

Semidirect products G=N:Q with N=C6.D4 and Q=D5
extensionφ:Q→Out NdρLabelID
C6.D41D5 = (C2×C6).D20φ: D5/C5C2 ⊆ Out C6.D41204C6.D4:1D5480,71
C6.D42D5 = C159(C23⋊C4)φ: D5/C5C2 ⊆ Out C6.D41204C6.D4:2D5480,73
C6.D43D5 = Dic15.19D4φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:3D5480,602
C6.D44D5 = D306D4φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:4D5480,609
C6.D45D5 = C6.(D4×D5)φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:5D5480,610
C6.D46D5 = C6.(C2×D20)φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:6D5480,613
C6.D47D5 = C6.D4⋊D5φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:7D5480,622
C6.D48D5 = C23.17(S3×D5)φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:8D5480,624
C6.D49D5 = Dic153D4φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:9D5480,626
C6.D410D5 = Dic1516D4φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:10D5480,635
C6.D411D5 = D30.45D4φ: D5/C5C2 ⊆ Out C6.D4120C6.D4:11D5480,637
C6.D412D5 = D30.16D4φ: D5/C5C2 ⊆ Out C6.D4240C6.D4:12D5480,638
C6.D413D5 = (C2×C6)⋊8D20φ: D5/C5C2 ⊆ Out C6.D4120C6.D4:13D5480,640
C6.D414D5 = D3018D4φ: D5/C5C2 ⊆ Out C6.D4120C6.D4:14D5480,648
C6.D415D5 = C1526(C4×D4)φ: trivial image240C6.D4:15D5480,628

Non-split extensions G=N.Q with N=C6.D4 and Q=D5
extensionφ:Q→Out NdρLabelID
C6.D4.1D5 = C23.13(S3×D5)φ: D5/C5C2 ⊆ Out C6.D4240C6.D4.1D5480,606
C6.D4.2D5 = C23.14(S3×D5)φ: D5/C5C2 ⊆ Out C6.D4240C6.D4.2D5480,607
C6.D4.3D5 = C23.48(S3×D5)φ: D5/C5C2 ⊆ Out C6.D4240C6.D4.3D5480,608
C6.D4.4D5 = (C2×C30)⋊Q8φ: D5/C5C2 ⊆ Out C6.D4240C6.D4.4D5480,650
C6.D4.5D5 = Dic15.48D4φ: D5/C5C2 ⊆ Out C6.D4240C6.D4.5D5480,652
C6.D4.6D5 = (C6×Dic5)⋊7C4φ: trivial image240C6.D4.6D5480,604

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