Extensions 1→N→G→Q→1 with N=Dic3:C4 and Q=C10

Direct product G=NxQ with N=Dic3:C4 and Q=C10
dρLabelID
C10xDic3:C4480C10xDic3:C4480,802

Semidirect products G=N:Q with N=Dic3:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic3:C4:1C10 = C5xC42:3S3φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:1C10480,755
Dic3:C4:2C10 = C5xC12.48D4φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:2C10480,803
Dic3:C4:3C10 = C5xC23.28D6φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:3C10480,808
Dic3:C4:4C10 = C5xDic3.D4φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:4C10480,757
Dic3:C4:5C10 = C5xDic3:D4φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:5C10480,763
Dic3:C4:6C10 = C5xD6.D4φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:6C10480,773
Dic3:C4:7C10 = C5xC23.16D6φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:7C10480,756
Dic3:C4:8C10 = C5xC23.8D6φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:8C10480,758
Dic3:C4:9C10 = C5xDic3:4D4φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:9C10480,760
Dic3:C4:10C10 = C5xC23.9D6φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:10C10480,762
Dic3:C4:11C10 = C5xS3xC4:C4φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:11C10480,770
Dic3:C4:12C10 = C5xD6:Q8φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:12C10480,775
Dic3:C4:13C10 = C5xC4:C4:S3φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:13C10480,777
Dic3:C4:14C10 = C5xC23.23D6φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:14C10480,814
Dic3:C4:15C10 = C5xC23.14D6φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:15C10480,818
Dic3:C4:16C10 = C5xD6:3Q8φ: C10/C5C2 ⊆ Out Dic3:C4240Dic3:C4:16C10480,825
Dic3:C4:17C10 = C5xC42:2S3φ: trivial image240Dic3:C4:17C10480,751
Dic3:C4:18C10 = C20xC3:D4φ: trivial image240Dic3:C4:18C10480,807

Non-split extensions G=N.Q with N=Dic3:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic3:C4.1C10 = C5xC12.6Q8φ: C10/C5C2 ⊆ Out Dic3:C4480Dic3:C4.1C10480,749
Dic3:C4.2C10 = C5xC12:Q8φ: C10/C5C2 ⊆ Out Dic3:C4480Dic3:C4.2C10480,767
Dic3:C4.3C10 = C5xDic3.Q8φ: C10/C5C2 ⊆ Out Dic3:C4480Dic3:C4.3C10480,768
Dic3:C4.4C10 = C5xC4.Dic6φ: C10/C5C2 ⊆ Out Dic3:C4480Dic3:C4.4C10480,769
Dic3:C4.5C10 = C5xDic6:C4φ: C10/C5C2 ⊆ Out Dic3:C4480Dic3:C4.5C10480,766
Dic3:C4.6C10 = C5xDic3:Q8φ: C10/C5C2 ⊆ Out Dic3:C4480Dic3:C4.6C10480,823
Dic3:C4.7C10 = C20xDic6φ: trivial image480Dic3:C4.7C10480,747

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