Extensions 1→N→G→Q→1 with N=S3xC2xC4 and Q=C10

Direct product G=NxQ with N=S3xC2xC4 and Q=C10
dρLabelID
S3xC22xC20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=S3xC2xC4 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3xC2xC4):1C10 = C5xC12:D4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):1C10480,774
(S3xC2xC4):2C10 = C5xD6:3D4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):2C10480,817
(S3xC2xC4):3C10 = S3xD4xC10φ: C10/C5C2 ⊆ Out S3xC2xC4120(S3xC2xC4):3C10480,1154
(S3xC2xC4):4C10 = C10xD4:2S3φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):4C10480,1155
(S3xC2xC4):5C10 = C10xQ8:3S3φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):5C10480,1158
(S3xC2xC4):6C10 = C5xS3xC4oD4φ: C10/C5C2 ⊆ Out S3xC2xC41204(S3xC2xC4):6C10480,1160
(S3xC2xC4):7C10 = C20xD12φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):7C10480,752
(S3xC2xC4):8C10 = C5xS3xC22:C4φ: C10/C5C2 ⊆ Out S3xC2xC4120(S3xC2xC4):8C10480,759
(S3xC2xC4):9C10 = C5xDic3:4D4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):9C10480,760
(S3xC2xC4):10C10 = C5xC23.9D6φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):10C10480,762
(S3xC2xC4):11C10 = C5xDic3:D4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):11C10480,763
(S3xC2xC4):12C10 = C5xDic3:5D4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):12C10480,772
(S3xC2xC4):13C10 = C5xD6.D4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):13C10480,773
(S3xC2xC4):14C10 = C20xC3:D4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):14C10480,807
(S3xC2xC4):15C10 = C10xC4oD12φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4):15C10480,1153

Non-split extensions G=N.Q with N=S3xC2xC4 and Q=C10
extensionφ:Q→Out NdρLabelID
(S3xC2xC4).1C10 = C5xS3xC4:C4φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).1C10480,770
(S3xC2xC4).2C10 = C5xC4:C4:7S3φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).2C10480,771
(S3xC2xC4).3C10 = C5xC4.D12φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).3C10480,776
(S3xC2xC4).4C10 = C5xS3xM4(2)φ: C10/C5C2 ⊆ Out S3xC2xC41204(S3xC2xC4).4C10480,785
(S3xC2xC4).5C10 = C5xD6:3Q8φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).5C10480,825
(S3xC2xC4).6C10 = S3xQ8xC10φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).6C10480,1157
(S3xC2xC4).7C10 = C5xD6:C8φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).7C10480,139
(S3xC2xC4).8C10 = C5xC42:2S3φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).8C10480,751
(S3xC2xC4).9C10 = C5xD6:Q8φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).9C10480,775
(S3xC2xC4).10C10 = C10xC8:S3φ: C10/C5C2 ⊆ Out S3xC2xC4240(S3xC2xC4).10C10480,779
(S3xC2xC4).11C10 = S3xC4xC20φ: trivial image240(S3xC2xC4).11C10480,750
(S3xC2xC4).12C10 = S3xC2xC40φ: trivial image240(S3xC2xC4).12C10480,778

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