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

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

Semidirect products G=N:Q with N=D6⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
D6⋊C4⋊1C10 = C5×C42⋊7S3φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:1C10480,754
D6⋊C4⋊2C10 = C5×C23.28D6φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:2C10480,808
D6⋊C4⋊3C10 = C5×C12⋊7D4φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:3C10480,809
D6⋊C4⋊4C10 = C5×D6⋊D4φ: C10/C5 → C2 ⊆ Out D6⋊C4120D6:C4:4C10480,761
D6⋊C4⋊5C10 = C5×C23.9D6φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:5C10480,762
D6⋊C4⋊6C10 = C5×C23.21D6φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:6C10480,765
D6⋊C4⋊7C10 = C5×C12⋊D4φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:7C10480,774
D6⋊C4⋊8C10 = C5×S3×C22⋊C4φ: C10/C5 → C2 ⊆ Out D6⋊C4120D6:C4:8C10480,759
D6⋊C4⋊9C10 = C5×Dic3⋊4D4φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:9C10480,760
D6⋊C4⋊10C10 = C5×Dic3⋊D4φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:10C10480,763
D6⋊C4⋊11C10 = C5×C23.11D6φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:11C10480,764
D6⋊C4⋊12C10 = C5×Dic3⋊5D4φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:12C10480,772
D6⋊C4⋊13C10 = C5×D6.D4φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:13C10480,773
D6⋊C4⋊14C10 = C5×C23⋊2D6φ: C10/C5 → C2 ⊆ Out D6⋊C4120D6:C4:14C10480,816
D6⋊C4⋊15C10 = C5×C23.14D6φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:15C10480,818
D6⋊C4⋊16C10 = C5×C12.23D4φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4:16C10480,826
D6⋊C4⋊17C10 = C20×D12φ: trivial image240D6:C4:17C10480,752
D6⋊C4⋊18C10 = C20×C3⋊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 = C5×C42⋊3S3φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4.1C10480,755
D6⋊C4.2C10 = C5×C4.D12φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4.2C10480,776
D6⋊C4.3C10 = C5×C4⋊C4⋊7S3φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4.3C10480,771
D6⋊C4.4C10 = C5×C4⋊C4⋊S3φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4.4C10480,777
D6⋊C4.5C10 = C5×D6⋊Q8φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4.5C10480,775
D6⋊C4.6C10 = C5×D6⋊3Q8φ: C10/C5 → C2 ⊆ Out D6⋊C4240D6:C4.6C10480,825
D6⋊C4.7C10 = C5×C42⋊2S3φ: trivial image240D6:C4.7C10480,751

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