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

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

Semidirect products G=N:Q with N=C40⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C40⋊S31C2 = Q83D30φ: C2/C1C2 ⊆ Out C40⋊S31204+C40:S3:1C2480,879
C40⋊S32C2 = SD16⋊D15φ: C2/C1C2 ⊆ Out C40⋊S32404-C40:S3:2C2480,880
C40⋊S33C2 = D8⋊D15φ: C2/C1C2 ⊆ Out C40⋊S31204C40:S3:3C2480,876
C40⋊S34C2 = Q16⋊D15φ: C2/C1C2 ⊆ Out C40⋊S32404C40:S3:4C2480,883
C40⋊S35C2 = C408D6φ: C2/C1C2 ⊆ Out C40⋊S31204C40:S3:5C2480,334
C40⋊S36C2 = D30.4D4φ: C2/C1C2 ⊆ Out C40⋊S32404C40:S3:6C2480,356
C40⋊S37C2 = D246D5φ: C2/C1C2 ⊆ Out C40⋊S31204C40:S3:7C2480,333
C40⋊S38C2 = D30.3D4φ: C2/C1C2 ⊆ Out C40⋊S32404C40:S3:8C2480,354
C40⋊S39C2 = D5×C8⋊S3φ: C2/C1C2 ⊆ Out C40⋊S31204C40:S3:9C2480,320
C40⋊S310C2 = S3×C8⋊D5φ: C2/C1C2 ⊆ Out C40⋊S31204C40:S3:10C2480,321
C40⋊S311C2 = C40.34D6φ: C2/C1C2 ⊆ Out C40⋊S32404C40:S3:11C2480,342
C40⋊S312C2 = C40.55D6φ: C2/C1C2 ⊆ Out C40⋊S32404C40:S3:12C2480,343
C40⋊S313C2 = M4(2)×D15φ: C2/C1C2 ⊆ Out C40⋊S31204C40:S3:13C2480,871
C40⋊S314C2 = D60.3C4φ: C2/C1C2 ⊆ Out C40⋊S32404C40:S3:14C2480,872
C40⋊S315C2 = D60.6C4φ: trivial image2402C40:S3:15C2480,866


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