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Extensions 1→N→G→Q→1 with N=S3×C2×C4 and Q=C10

Direct product G=N×Q with N=S3×C2×C4 and Q=C10
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=S3×C2×C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3×C2×C4)⋊1C10 = C5×C12⋊D4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):1C10480,774
(S3×C2×C4)⋊2C10 = C5×D6⋊3D4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):2C10480,817
(S3×C2×C4)⋊3C10 = S3×D4×C10φ: C10/C5 → C2 ⊆ Out S3×C2×C4120(S3xC2xC4):3C10480,1154
(S3×C2×C4)⋊4C10 = C10×D4⋊2S3φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):4C10480,1155
(S3×C2×C4)⋊5C10 = C10×Q8⋊3S3φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):5C10480,1158
(S3×C2×C4)⋊6C10 = C5×S3×C4○D4φ: C10/C5 → C2 ⊆ Out S3×C2×C41204(S3xC2xC4):6C10480,1160
(S3×C2×C4)⋊7C10 = C20×D12φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):7C10480,752
(S3×C2×C4)⋊8C10 = C5×S3×C22⋊C4φ: C10/C5 → C2 ⊆ Out S3×C2×C4120(S3xC2xC4):8C10480,759
(S3×C2×C4)⋊9C10 = C5×Dic3⋊4D4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):9C10480,760
(S3×C2×C4)⋊10C10 = C5×C23.9D6φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):10C10480,762
(S3×C2×C4)⋊11C10 = C5×Dic3⋊D4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):11C10480,763
(S3×C2×C4)⋊12C10 = C5×Dic3⋊5D4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):12C10480,772
(S3×C2×C4)⋊13C10 = C5×D6.D4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):13C10480,773
(S3×C2×C4)⋊14C10 = C20×C3⋊D4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):14C10480,807
(S3×C2×C4)⋊15C10 = C10×C4○D12φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4):15C10480,1153

Non-split extensions G=N.Q with N=S3×C2×C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3×C2×C4).1C10 = C5×S3×C4⋊C4φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).1C10480,770
(S3×C2×C4).2C10 = C5×C4⋊C4⋊7S3φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).2C10480,771
(S3×C2×C4).3C10 = C5×C4.D12φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).3C10480,776
(S3×C2×C4).4C10 = C5×S3×M4(2)φ: C10/C5 → C2 ⊆ Out S3×C2×C41204(S3xC2xC4).4C10480,785
(S3×C2×C4).5C10 = C5×D6⋊3Q8φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).5C10480,825
(S3×C2×C4).6C10 = S3×Q8×C10φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).6C10480,1157
(S3×C2×C4).7C10 = C5×D6⋊C8φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).7C10480,139
(S3×C2×C4).8C10 = C5×C42⋊2S3φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).8C10480,751
(S3×C2×C4).9C10 = C5×D6⋊Q8φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).9C10480,775
(S3×C2×C4).10C10 = C10×C8⋊S3φ: C10/C5 → C2 ⊆ Out S3×C2×C4240(S3xC2xC4).10C10480,779
(S3×C2×C4).11C10 = S3×C4×C20φ: trivial image240(S3xC2xC4).11C10480,750
(S3×C2×C4).12C10 = S3×C2×C40φ: trivial image240(S3xC2xC4).12C10480,778

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