Extensions 1→N→G→Q→1 with N=C4⋊Dic5 and Q=S3

Direct product G=N×Q with N=C4⋊Dic5 and Q=S3
dρLabelID
S3×C4⋊Dic5240S3xC4:Dic5480,502

Semidirect products G=N:Q with N=C4⋊Dic5 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊Dic51S3 = D6012C4φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:1S3480,44
C4⋊Dic52S3 = D6⋊C4.D5φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:2S3480,417
C4⋊Dic53S3 = C4⋊Dic5⋊S3φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:3S3480,421
C4⋊Dic54S3 = C60.45D4φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:4S3480,441
C4⋊Dic55S3 = D6.D20φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:5S3480,503
C4⋊Dic56S3 = D304Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:6S3480,505
C4⋊Dic57S3 = D64Dic10φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:7S3480,512
C4⋊Dic58S3 = D30.7D4φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:8S3480,514
C4⋊Dic59S3 = C606D4φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:9S3480,536
C4⋊Dic510S3 = D12⋊Dic5φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:10S3480,42
C4⋊Dic511S3 = (C4×D15)⋊8C4φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:11S3480,423
C4⋊Dic512S3 = D309Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:12S3480,459
C4⋊Dic513S3 = Dic158D4φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:13S3480,511
C4⋊Dic514S3 = D30.2Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:14S3480,513
C4⋊Dic515S3 = C202D12φ: S3/C3C2 ⊆ Out C4⋊Dic5240C4:Dic5:15S3480,542
C4⋊Dic516S3 = (S3×C20)⋊5C4φ: trivial image240C4:Dic5:16S3480,414
C4⋊Dic517S3 = D6014C4φ: trivial image240C4:Dic5:17S3480,504

Non-split extensions G=N.Q with N=C4⋊Dic5 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊Dic5.1S3 = Dic3012C4φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.1S3480,50
C4⋊Dic5.2S3 = C60.Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.2S3480,63
C4⋊Dic5.3S3 = C60.5Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.3S3480,66
C4⋊Dic5.4S3 = Dic15.2Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.4S3480,415
C4⋊Dic5.5S3 = Dic3.2Dic10φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.5S3480,422
C4⋊Dic5.6S3 = C60.6Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.6S3480,457
C4⋊Dic5.7S3 = C204Dic6φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.7S3480,545
C4⋊Dic5.8S3 = Dic6⋊Dic5φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.8S3480,48
C4⋊Dic5.9S3 = C30.SD16φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.9S3480,62
C4⋊Dic5.10S3 = C30.20D8φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.10S3480,65
C4⋊Dic5.11S3 = Dic157Q8φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.11S3480,420
C4⋊Dic5.12S3 = C12.Dic10φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.12S3480,460
C4⋊Dic5.13S3 = C20⋊Dic6φ: S3/C3C2 ⊆ Out C4⋊Dic5480C4:Dic5.13S3480,546
C4⋊Dic5.14S3 = Dic3014C4φ: trivial image480C4:Dic5.14S3480,416

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