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Extensions 1→N→G→Q→1 with N=C40:S3 and Q=C2

Direct product G=NxQ with N=C40:S3 and Q=C2
dρLabelID
C2xC40:S3240C2xC40:S3480,865

Semidirect products G=N:Q with N=C40:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C40:S3:1C2 = Q8:3D30φ: C2/C1 → C2 ⊆ Out C40:S31204+C40:S3:1C2480,879
C40:S3:2C2 = SD16:D15φ: C2/C1 → C2 ⊆ Out C40:S32404-C40:S3:2C2480,880
C40:S3:3C2 = D8:D15φ: C2/C1 → C2 ⊆ Out C40:S31204C40:S3:3C2480,876
C40:S3:4C2 = Q16:D15φ: C2/C1 → C2 ⊆ Out C40:S32404C40:S3:4C2480,883
C40:S3:5C2 = C40:8D6φ: C2/C1 → C2 ⊆ Out C40:S31204C40:S3:5C2480,334
C40:S3:6C2 = D30.4D4φ: C2/C1 → C2 ⊆ Out C40:S32404C40:S3:6C2480,356
C40:S3:7C2 = D24:6D5φ: C2/C1 → C2 ⊆ Out C40:S31204C40:S3:7C2480,333
C40:S3:8C2 = D30.3D4φ: C2/C1 → C2 ⊆ Out C40:S32404C40:S3:8C2480,354
C40:S3:9C2 = D5xC8:S3φ: C2/C1 → C2 ⊆ Out C40:S31204C40:S3:9C2480,320
C40:S3:10C2 = S3xC8:D5φ: C2/C1 → C2 ⊆ Out C40:S31204C40:S3:10C2480,321
C40:S3:11C2 = C40.34D6φ: C2/C1 → C2 ⊆ Out C40:S32404C40:S3:11C2480,342
C40:S3:12C2 = C40.55D6φ: C2/C1 → C2 ⊆ Out C40:S32404C40:S3:12C2480,343
C40:S3:13C2 = M4(2)xD15φ: C2/C1 → C2 ⊆ Out C40:S31204C40:S3:13C2480,871
C40:S3:14C2 = D60.3C4φ: C2/C1 → C2 ⊆ Out C40:S32404C40:S3:14C2480,872
C40:S3:15C2 = D60.6C4φ: trivial image2402C40:S3:15C2480,866


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