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

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

Semidirect products G=N:Q with N=Dic3⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic3⋊C41C10 = C5×C423S3φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:1C10480,755
Dic3⋊C42C10 = C5×C12.48D4φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:2C10480,803
Dic3⋊C43C10 = C5×C23.28D6φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:3C10480,808
Dic3⋊C44C10 = C5×Dic3.D4φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:4C10480,757
Dic3⋊C45C10 = C5×Dic3⋊D4φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:5C10480,763
Dic3⋊C46C10 = C5×D6.D4φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:6C10480,773
Dic3⋊C47C10 = C5×C23.16D6φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:7C10480,756
Dic3⋊C48C10 = C5×C23.8D6φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:8C10480,758
Dic3⋊C49C10 = C5×Dic34D4φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:9C10480,760
Dic3⋊C410C10 = C5×C23.9D6φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:10C10480,762
Dic3⋊C411C10 = C5×S3×C4⋊C4φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:11C10480,770
Dic3⋊C412C10 = C5×D6⋊Q8φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:12C10480,775
Dic3⋊C413C10 = C5×C4⋊C4⋊S3φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:13C10480,777
Dic3⋊C414C10 = C5×C23.23D6φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:14C10480,814
Dic3⋊C415C10 = C5×C23.14D6φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:15C10480,818
Dic3⋊C416C10 = C5×D63Q8φ: C10/C5C2 ⊆ Out Dic3⋊C4240Dic3:C4:16C10480,825
Dic3⋊C417C10 = C5×C422S3φ: trivial image240Dic3:C4:17C10480,751
Dic3⋊C418C10 = C20×C3⋊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 = C5×C12.6Q8φ: C10/C5C2 ⊆ Out Dic3⋊C4480Dic3:C4.1C10480,749
Dic3⋊C4.2C10 = C5×C12⋊Q8φ: C10/C5C2 ⊆ Out Dic3⋊C4480Dic3:C4.2C10480,767
Dic3⋊C4.3C10 = C5×Dic3.Q8φ: C10/C5C2 ⊆ Out Dic3⋊C4480Dic3:C4.3C10480,768
Dic3⋊C4.4C10 = C5×C4.Dic6φ: C10/C5C2 ⊆ Out Dic3⋊C4480Dic3:C4.4C10480,769
Dic3⋊C4.5C10 = C5×Dic6⋊C4φ: C10/C5C2 ⊆ Out Dic3⋊C4480Dic3:C4.5C10480,766
Dic3⋊C4.6C10 = C5×Dic3⋊Q8φ: C10/C5C2 ⊆ Out Dic3⋊C4480Dic3:C4.6C10480,823
Dic3⋊C4.7C10 = C20×Dic6φ: trivial image480Dic3:C4.7C10480,747

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