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Extensions 1→N→G→Q→1 with N=D6:C4 and Q=C10

Direct product G=NxQ with N=D6:C4 and Q=C10
dρLabelID
C10xD6:C4240C10xD6:C4480,806

Semidirect products G=N:Q with N=D6:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
D6:C4:1C10 = C5xC42:7S3φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:1C10480,754
D6:C4:2C10 = C5xC23.28D6φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:2C10480,808
D6:C4:3C10 = C5xC12:7D4φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:3C10480,809
D6:C4:4C10 = C5xD6:D4φ: C10/C5 → C2 ⊆ Out D6:C4120D6:C4:4C10480,761
D6:C4:5C10 = C5xC23.9D6φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:5C10480,762
D6:C4:6C10 = C5xC23.21D6φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:6C10480,765
D6:C4:7C10 = C5xC12:D4φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:7C10480,774
D6:C4:8C10 = C5xS3xC22:C4φ: C10/C5 → C2 ⊆ Out D6:C4120D6:C4:8C10480,759
D6:C4:9C10 = C5xDic3:4D4φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:9C10480,760
D6:C4:10C10 = C5xDic3:D4φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:10C10480,763
D6:C4:11C10 = C5xC23.11D6φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:11C10480,764
D6:C4:12C10 = C5xDic3:5D4φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:12C10480,772
D6:C4:13C10 = C5xD6.D4φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:13C10480,773
D6:C4:14C10 = C5xC23:2D6φ: C10/C5 → C2 ⊆ Out D6:C4120D6:C4:14C10480,816
D6:C4:15C10 = C5xC23.14D6φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:15C10480,818
D6:C4:16C10 = C5xC12.23D4φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4:16C10480,826
D6:C4:17C10 = C20xD12φ: trivial image240D6:C4:17C10480,752
D6:C4:18C10 = C20xC3:D4φ: trivial image240D6:C4:18C10480,807

Non-split extensions G=N.Q with N=D6:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
D6:C4.1C10 = C5xC42:3S3φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4.1C10480,755
D6:C4.2C10 = C5xC4.D12φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4.2C10480,776
D6:C4.3C10 = C5xC4:C4:7S3φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4.3C10480,771
D6:C4.4C10 = C5xC4:C4:S3φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4.4C10480,777
D6:C4.5C10 = C5xD6:Q8φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4.5C10480,775
D6:C4.6C10 = C5xD6:3Q8φ: C10/C5 → C2 ⊆ Out D6:C4240D6:C4.6C10480,825
D6:C4.7C10 = C5xC42:2S3φ: trivial image240D6:C4.7C10480,751

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