Extensions 1→N→G→Q→1 with N=C5×C22⋊C4 and Q=S3

Direct product G=N×Q with N=C5×C22⋊C4 and Q=S3
dρLabelID
C5×S3×C22⋊C4120C5xS3xC2^2:C4480,759

Semidirect products G=N:Q with N=C5×C22⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4)⋊1S3 = C5×C23.6D6φ: S3/C3C2 ⊆ Out C5×C22⋊C41204(C5xC2^2:C4):1S3480,125
(C5×C22⋊C4)⋊2S3 = C23.6D30φ: S3/C3C2 ⊆ Out C5×C22⋊C41204(C5xC2^2:C4):2S3480,166
(C5×C22⋊C4)⋊3S3 = D3016D4φ: S3/C3C2 ⊆ Out C5×C22⋊C4120(C5xC2^2:C4):3S3480,847
(C5×C22⋊C4)⋊4S3 = C22.D60φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):4S3480,851
(C5×C22⋊C4)⋊5S3 = D30.28D4φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):5S3480,848
(C5×C22⋊C4)⋊6S3 = D309D4φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):6S3480,849
(C5×C22⋊C4)⋊7S3 = C23.11D30φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):7S3480,850
(C5×C22⋊C4)⋊8S3 = C22⋊C4×D15φ: S3/C3C2 ⊆ Out C5×C22⋊C4120(C5xC2^2:C4):8S3480,845
(C5×C22⋊C4)⋊9S3 = Dic1519D4φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):9S3480,846
(C5×C22⋊C4)⋊10S3 = C5×D6⋊D4φ: S3/C3C2 ⊆ Out C5×C22⋊C4120(C5xC2^2:C4):10S3480,761
(C5×C22⋊C4)⋊11S3 = C5×C23.9D6φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):11S3480,762
(C5×C22⋊C4)⋊12S3 = C5×Dic3⋊D4φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):12S3480,763
(C5×C22⋊C4)⋊13S3 = C5×C23.11D6φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):13S3480,764
(C5×C22⋊C4)⋊14S3 = C5×C23.21D6φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):14S3480,765
(C5×C22⋊C4)⋊15S3 = C5×Dic34D4φ: trivial image240(C5xC2^2:C4):15S3480,760

Non-split extensions G=N.Q with N=C5×C22⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4).1S3 = C222Dic30φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).1S3480,843
(C5×C22⋊C4).2S3 = C23.8D30φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).2S3480,844
(C5×C22⋊C4).3S3 = C23.15D30φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).3S3480,842
(C5×C22⋊C4).4S3 = C5×Dic3.D4φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).4S3480,757
(C5×C22⋊C4).5S3 = C5×C23.8D6φ: S3/C3C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).5S3480,758
(C5×C22⋊C4).6S3 = C5×C23.16D6φ: trivial image240(C5xC2^2:C4).6S3480,756

׿
×
𝔽