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Extensions 1→N→G→Q→1 with N=C5×Q8⋊3S3 and Q=C2

Direct product G=N×Q with N=C5×Q8⋊3S3 and Q=C2
dρLabelID
C10×Q8⋊3S3240C10xQ8:3S3480,1158

Semidirect products G=N:Q with N=C5×Q8⋊3S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Q8⋊3S3)⋊1C2 = D12⋊D10φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S31208+(C5xQ8:3S3):1C2480,580
(C5×Q8⋊3S3)⋊2C2 = D20.27D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32408-(C5xQ8:3S3):2C2480,593
(C5×Q8⋊3S3)⋊3C2 = Dic10.27D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32408+(C5xQ8:3S3):3C2480,595
(C5×Q8⋊3S3)⋊4C2 = D12.29D10φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32408-(C5xQ8:3S3):4C2480,1106
(C5×Q8⋊3S3)⋊5C2 = D5×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S31208+(C5xQ8:3S3):5C2480,1108
(C5×Q8⋊3S3)⋊6C2 = D20⋊16D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S31208-(C5xQ8:3S3):6C2480,1110
(C5×Q8⋊3S3)⋊7C2 = D20⋊17D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S31208+(C5xQ8:3S3):7C2480,1111
(C5×Q8⋊3S3)⋊8C2 = C5×Q8⋊3D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S31204(C5xQ8:3S3):8C2480,793
(C5×Q8⋊3S3)⋊9C2 = C5×Q8.7D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32404(C5xQ8:3S3):9C2480,795
(C5×Q8⋊3S3)⋊10C2 = C5×D24⋊C2φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32404(C5xQ8:3S3):10C2480,798
(C5×Q8⋊3S3)⋊11C2 = C5×Q8.15D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32404(C5xQ8:3S3):11C2480,1159
(C5×Q8⋊3S3)⋊12C2 = C5×D4○D12φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S31204(C5xQ8:3S3):12C2480,1161
(C5×Q8⋊3S3)⋊13C2 = C5×S3×C4○D4φ: trivial image1204(C5xQ8:3S3):13C2480,1160

Non-split extensions G=N.Q with N=C5×Q8⋊3S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Q8⋊3S3).1C2 = Dic10.26D6φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32408-(C5xQ8:3S3).1C2480,586
(C5×Q8⋊3S3).2C2 = C5×Q16⋊S3φ: C2/C1 → C2 ⊆ Out C5×Q8⋊3S32404(C5xQ8:3S3).2C2480,797

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