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

Direct product G=N×Q with N=C4⋊Dic3 and Q=C10
dρLabelID
C10×C4⋊Dic3480C10xC4:Dic3480,804

Semidirect products G=N:Q with N=C4⋊Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
C4⋊Dic3⋊1C10 = C5×C2.D24φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:1C10480,140
C4⋊Dic3⋊2C10 = C5×Dic3.D4φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:2C10480,757
C4⋊Dic3⋊3C10 = C5×C23.8D6φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:3C10480,758
C4⋊Dic3⋊4C10 = C5×C23.9D6φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:4C10480,762
C4⋊Dic3⋊5C10 = C5×C23.21D6φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:5C10480,765
C4⋊Dic3⋊6C10 = C5×C4.D12φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:6C10480,776
C4⋊Dic3⋊7C10 = C5×C4⋊C4⋊S3φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:7C10480,777
C4⋊Dic3⋊8C10 = C5×C12.48D4φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:8C10480,803
C4⋊Dic3⋊9C10 = C5×C12⋊7D4φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:9C10480,809
C4⋊Dic3⋊10C10 = C5×D4⋊Dic3φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:10C10480,151
C4⋊Dic3⋊11C10 = C5×S3×C4⋊C4φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:11C10480,770
C4⋊Dic3⋊12C10 = C5×C4⋊C4⋊7S3φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:12C10480,771
C4⋊Dic3⋊13C10 = C5×D4×Dic3φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:13C10480,813
C4⋊Dic3⋊14C10 = C5×D6⋊3D4φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:14C10480,817
C4⋊Dic3⋊15C10 = C5×D6⋊3Q8φ: C10/C5 → C2 ⊆ Out C4⋊Dic3240C4:Dic3:15C10480,825
C4⋊Dic3⋊16C10 = C20×D12φ: trivial image240C4:Dic3:16C10480,752
C4⋊Dic3⋊17C10 = C5×C23.26D6φ: trivial image240C4:Dic3:17C10480,805

Non-split extensions G=N.Q with N=C4⋊Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
C4⋊Dic3.1C10 = C5×C2.Dic12φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.1C10480,135
C4⋊Dic3.2C10 = C5×C8⋊Dic3φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.2C10480,136
C4⋊Dic3.3C10 = C5×C24⋊1C4φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.3C10480,137
C4⋊Dic3.4C10 = C5×C12⋊2Q8φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.4C10480,748
C4⋊Dic3.5C10 = C5×C12.6Q8φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.5C10480,749
C4⋊Dic3.6C10 = C5×Dic3.Q8φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.6C10480,768
C4⋊Dic3.7C10 = C5×C4.Dic6φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.7C10480,769
C4⋊Dic3.8C10 = C5×C6.Q16φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.8C10480,126
C4⋊Dic3.9C10 = C5×C12.Q8φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.9C10480,127
C4⋊Dic3.10C10 = C5×Q8⋊2Dic3φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.10C10480,154
C4⋊Dic3.11C10 = C5×C12⋊Q8φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.11C10480,767
C4⋊Dic3.12C10 = C5×Q8×Dic3φ: C10/C5 → C2 ⊆ Out C4⋊Dic3480C4:Dic3.12C10480,824
C4⋊Dic3.13C10 = C20×Dic6φ: trivial image480C4:Dic3.13C10480,747

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