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Extensions 1→N→G→Q→1 with N=C5×D4⋊S3 and Q=C2

Direct product G=N×Q with N=C5×D4⋊S3 and Q=C2
dρLabelID
C10×D4⋊S3240C10xD4:S3480,810

Semidirect products G=N:Q with N=C5×D4⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D4⋊S3)⋊1C2 = D5×D4⋊S3φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31208+(C5xD4:S3):1C2480,553
(C5×D4⋊S3)⋊2C2 = Dic10⋊3D6φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31208+(C5xD4:S3):2C2480,554
(C5×D4⋊S3)⋊3C2 = D15⋊D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31208+(C5xD4:S3):3C2480,557
(C5×D4⋊S3)⋊4C2 = D30.8D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31208-(C5xD4:S3):4C2480,558
(C5×D4⋊S3)⋊5C2 = D12⋊10D10φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31208-(C5xD4:S3):5C2480,565
(C5×D4⋊S3)⋊6C2 = D12.24D10φ: C2/C1 → C2 ⊆ Out C5×D4⋊S32408-(C5xD4:S3):6C2480,566
(C5×D4⋊S3)⋊7C2 = D30.11D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊S32408-(C5xD4:S3):7C2480,575
(C5×D4⋊S3)⋊8C2 = D12⋊5D10φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31208+(C5xD4:S3):8C2480,576
(C5×D4⋊S3)⋊9C2 = C5×S3×D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31204(C5xD4:S3):9C2480,789
(C5×D4⋊S3)⋊10C2 = C5×D8⋊S3φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31204(C5xD4:S3):10C2480,790
(C5×D4⋊S3)⋊11C2 = C5×Q8⋊3D6φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31204(C5xD4:S3):11C2480,793
(C5×D4⋊S3)⋊12C2 = C5×Q8.7D6φ: C2/C1 → C2 ⊆ Out C5×D4⋊S32404(C5xD4:S3):12C2480,795
(C5×D4⋊S3)⋊13C2 = C5×D12⋊6C22φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31204(C5xD4:S3):13C2480,811
(C5×D4⋊S3)⋊14C2 = C5×D4⋊D6φ: C2/C1 → C2 ⊆ Out C5×D4⋊S31204(C5xD4:S3):14C2480,828
(C5×D4⋊S3)⋊15C2 = C5×Q8.13D6φ: trivial image2404(C5xD4:S3):15C2480,829


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