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Extensions 1→N→G→Q→1 with N=D20:S3 and Q=C2

Direct product G=NxQ with N=D20:S3 and Q=C2
dρLabelID
C2xD20:S3240C2xD20:S3480,1075

Semidirect products G=N:Q with N=D20:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
D20:S3:1C2 = D20.10D6φ: C2/C1 → C2 ⊆ Out D20:S32408-D20:S3:1C2480,573
D20:S3:2C2 = Dic6:D10φ: C2/C1 → C2 ⊆ Out D20:S31208+D20:S3:2C2480,574
D20:S3:3C2 = D20.16D6φ: C2/C1 → C2 ⊆ Out D20:S32408+D20:S3:3C2480,597
D20:S3:4C2 = D5xD4:2S3φ: C2/C1 → C2 ⊆ Out D20:S31208-D20:S3:4C2480,1098
D20:S3:5C2 = D20:14D6φ: C2/C1 → C2 ⊆ Out D20:S31208+D20:S3:5C2480,1102
D20:S3:6C2 = D20.29D6φ: C2/C1 → C2 ⊆ Out D20:S32408-D20:S3:6C2480,1104
D20:S3:7C2 = S3xQ8:2D5φ: C2/C1 → C2 ⊆ Out D20:S31208+D20:S3:7C2480,1109
D20:S3:8C2 = C40:8D6φ: C2/C1 → C2 ⊆ Out D20:S31204D20:S3:8C2480,334
D20:S3:9C2 = Dic6.D10φ: C2/C1 → C2 ⊆ Out D20:S32404D20:S3:9C2480,352
D20:S3:10C2 = D40:5S3φ: C2/C1 → C2 ⊆ Out D20:S32404D20:S3:10C2480,353
D20:S3:11C2 = D20.38D6φ: C2/C1 → C2 ⊆ Out D20:S32404D20:S3:11C2480,1076
D20:S3:12C2 = D20:25D6φ: C2/C1 → C2 ⊆ Out D20:S31204D20:S3:12C2480,1093
D20:S3:13C2 = D20:24D6φ: trivial image1204D20:S3:13C2480,1092

Non-split extensions G=N.Q with N=D20:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
D20:S3.1C2 = D20.17D6φ: C2/C1 → C2 ⊆ Out D20:S32408-D20:S3.1C2480,598
D20:S3.2C2 = D30.3D4φ: C2/C1 → C2 ⊆ Out D20:S32404D20:S3.2C2480,354

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