Extensions 1→N→G→Q→1 with N=C2xQ8 and Q=C5xS3

Direct product G=NxQ with N=C2xQ8 and Q=C5xS3
dρLabelID
S3xQ8xC10240S3xQ8xC10480,1157

Semidirect products G=N:Q with N=C2xQ8 and Q=C5xS3
extensionφ:Q→Out NdρLabelID
(C2xQ8):1(C5xS3) = C10xGL2(F3)φ: C5xS3/C5S3 ⊆ Out C2xQ880(C2xQ8):1(C5xS3)480,1017
(C2xQ8):2(C5xS3) = C5xQ8.D6φ: C5xS3/C5S3 ⊆ Out C2xQ8804(C2xQ8):2(C5xS3)480,1018
(C2xQ8):3(C5xS3) = C10xQ8:2S3φ: C5xS3/C15C2 ⊆ Out C2xQ8240(C2xQ8):3(C5xS3)480,820
(C2xQ8):4(C5xS3) = C5xQ8.11D6φ: C5xS3/C15C2 ⊆ Out C2xQ82404(C2xQ8):4(C5xS3)480,821
(C2xQ8):5(C5xS3) = C5xD6:3Q8φ: C5xS3/C15C2 ⊆ Out C2xQ8240(C2xQ8):5(C5xS3)480,825
(C2xQ8):6(C5xS3) = C5xC12.23D4φ: C5xS3/C15C2 ⊆ Out C2xQ8240(C2xQ8):6(C5xS3)480,826
(C2xQ8):7(C5xS3) = C5xQ8.15D6φ: C5xS3/C15C2 ⊆ Out C2xQ82404(C2xQ8):7(C5xS3)480,1159
(C2xQ8):8(C5xS3) = C10xQ8:3S3φ: trivial image240(C2xQ8):8(C5xS3)480,1158

Non-split extensions G=N.Q with N=C2xQ8 and Q=C5xS3
extensionφ:Q→Out NdρLabelID
(C2xQ8).1(C5xS3) = C5xQ8:Dic3φ: C5xS3/C5S3 ⊆ Out C2xQ8160(C2xQ8).1(C5xS3)480,256
(C2xQ8).2(C5xS3) = C10xCSU2(F3)φ: C5xS3/C5S3 ⊆ Out C2xQ8160(C2xQ8).2(C5xS3)480,1016
(C2xQ8).3(C5xS3) = C5xQ8:2Dic3φ: C5xS3/C15C2 ⊆ Out C2xQ8480(C2xQ8).3(C5xS3)480,154
(C2xQ8).4(C5xS3) = C5xC12.10D4φ: C5xS3/C15C2 ⊆ Out C2xQ82404(C2xQ8).4(C5xS3)480,155
(C2xQ8).5(C5xS3) = C10xC3:Q16φ: C5xS3/C15C2 ⊆ Out C2xQ8480(C2xQ8).5(C5xS3)480,822
(C2xQ8).6(C5xS3) = C5xDic3:Q8φ: C5xS3/C15C2 ⊆ Out C2xQ8480(C2xQ8).6(C5xS3)480,823
(C2xQ8).7(C5xS3) = C5xQ8xDic3φ: trivial image480(C2xQ8).7(C5xS3)480,824

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