Extensions 1→N→G→Q→1 with N=D4:2S3 and Q=C10

Direct product G=NxQ with N=D4:2S3 and Q=C10
dρLabelID
C10xD4:2S3240C10xD4:2S3480,1155

Semidirect products G=N:Q with N=D4:2S3 and Q=C10
extensionφ:Q→Out NdρLabelID
D4:2S3:1C10 = C5xD8:S3φ: C10/C5C2 ⊆ Out D4:2S31204D4:2S3:1C10480,790
D4:2S3:2C10 = C5xD8:3S3φ: C10/C5C2 ⊆ Out D4:2S32404D4:2S3:2C10480,791
D4:2S3:3C10 = C5xQ8.7D6φ: C10/C5C2 ⊆ Out D4:2S32404D4:2S3:3C10480,795
D4:2S3:4C10 = C5xD4:6D6φ: C10/C5C2 ⊆ Out D4:2S31204D4:2S3:4C10480,1156
D4:2S3:5C10 = C5xQ8oD12φ: C10/C5C2 ⊆ Out D4:2S32404D4:2S3:5C10480,1162
D4:2S3:6C10 = C5xS3xC4oD4φ: trivial image1204D4:2S3:6C10480,1160

Non-split extensions G=N.Q with N=D4:2S3 and Q=C10
extensionφ:Q→Out NdρLabelID
D4:2S3.C10 = C5xD4.D6φ: C10/C5C2 ⊆ Out D4:2S32404D4:2S3.C10480,794

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