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Extensions 1→N→G→Q→1 with N=S3×C2×C4 and Q=D5

Direct product G=N×Q with N=S3×C2×C4 and Q=D5
dρLabelID
S3×C2×C4×D5120S3xC2xC4xD5480,1086

Semidirect products G=N:Q with N=S3×C2×C4 and Q=D5
extensionφ:Q→Out NdρLabelID
(S3×C2×C4)⋊1D5 = C60⋊4D4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):1D5480,532
(S3×C2×C4)⋊2D5 = C60⋊6D4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):2D5480,536
(S3×C2×C4)⋊3D5 = C2×D20⋊5S3φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):3D5480,1074
(S3×C2×C4)⋊4D5 = C2×D60⋊C2φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):4D5480,1081
(S3×C2×C4)⋊5D5 = C2×S3×D20φ: D5/C5 → C2 ⊆ Out S3×C2×C4120(S3xC2xC4):5D5480,1088
(S3×C2×C4)⋊6D5 = S3×C4○D20φ: D5/C5 → C2 ⊆ Out S3×C2×C41204(S3xC2xC4):6D5480,1091
(S3×C2×C4)⋊7D5 = D6⋊Dic5⋊C2φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):7D5480,427
(S3×C2×C4)⋊8D5 = C4×C15⋊D4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):8D5480,515
(S3×C2×C4)⋊9D5 = C15⋊17(C4×D4)φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):9D5480,517
(S3×C2×C4)⋊10D5 = C4×C5⋊D12φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):10D5480,521
(S3×C2×C4)⋊11D5 = C15⋊22(C4×D4)φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):11D5480,522
(S3×C2×C4)⋊12D5 = D10⋊C4⋊S3φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):12D5480,528
(S3×C2×C4)⋊13D5 = D6⋊D20φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):13D5480,530
(S3×C2×C4)⋊14D5 = S3×D10⋊C4φ: D5/C5 → C2 ⊆ Out S3×C2×C4120(S3xC2xC4):14D5480,548
(S3×C2×C4)⋊15D5 = C2×D6.D10φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):15D5480,1083

Non-split extensions G=N.Q with N=S3×C2×C4 and Q=D5
extensionφ:Q→Out NdρLabelID
(S3×C2×C4).1D5 = S3×C4.Dic5φ: D5/C5 → C2 ⊆ Out S3×C2×C41204(S3xC2xC4).1D5480,363
(S3×C2×C4).2D5 = (S3×C20)⋊5C4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).2D5480,414
(S3×C2×C4).3D5 = C60.45D4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).3D5480,441
(S3×C2×C4).4D5 = C60.46D4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).4D5480,445
(S3×C2×C4).5D5 = S3×C4⋊Dic5φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).5D5480,502
(S3×C2×C4).6D5 = C2×S3×Dic10φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).6D5480,1078
(S3×C2×C4).7D5 = C60.94D4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).7D5480,32
(S3×C2×C4).8D5 = C2×D6.Dic5φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).8D5480,370
(S3×C2×C4).9D5 = D6⋊Dic10φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).9D5480,428
(S3×C2×C4).10D5 = (S3×C20)⋊7C4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).10D5480,447
(S3×C2×C4).11D5 = S3×C10.D4φ: D5/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).11D5480,475
(S3×C2×C4).12D5 = C2×S3×C5⋊2C8φ: trivial image240(S3xC2xC4).12D5480,361
(S3×C2×C4).13D5 = C4×S3×Dic5φ: trivial image240(S3xC2xC4).13D5480,473

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