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Extensions 1→N→G→Q→1 with N=C6 and Q=D6:S3

Direct product G=NxQ with N=C6 and Q=D6:S3
dρLabelID
C6xD6:S348C6xD6:S3432,655

Semidirect products G=N:Q with N=C6 and Q=D6:S3
extensionφ:Q→Aut NdρLabelID
C6:1(D6:S3) = C2xC33:9D4φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C648C6:1(D6:S3)432,694
C6:2(D6:S3) = C2xC33:6D4φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6:2(D6:S3)432,680

Non-split extensions G=N.Q with N=C6 and Q=D6:S3
extensionφ:Q→Aut NdρLabelID
C6.1(D6:S3) = He3:3SD16φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C6726C6.1(D6:S3)432,78
C6.2(D6:S3) = He3:2D8φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C6726+C6.2(D6:S3)432,79
C6.3(D6:S3) = He3:2Q16φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C61446-C6.3(D6:S3)432,80
C6.4(D6:S3) = C62.3D6φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C6144C6.4(D6:S3)432,96
C6.5(D6:S3) = C62.4D6φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C672C6.5(D6:S3)432,97
C6.6(D6:S3) = C2xHe3:2D4φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C672C6.6(D6:S3)432,320
C6.7(D6:S3) = C33:9D8φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C6484C6.7(D6:S3)432,457
C6.8(D6:S3) = C33:18SD16φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C6484C6.8(D6:S3)432,458
C6.9(D6:S3) = C33:9Q16φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C6484C6.9(D6:S3)432,459
C6.10(D6:S3) = C62.84D6φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C648C6.10(D6:S3)432,461
C6.11(D6:S3) = C62.85D6φ: D6:S3/C3:Dic3 → C2 ⊆ Aut C648C6.11(D6:S3)432,462
C6.12(D6:S3) = D36:S3φ: D6:S3/S3xC6 → C2 ⊆ Aut C61444C6.12(D6:S3)432,68
C6.13(D6:S3) = D12.D9φ: D6:S3/S3xC6 → C2 ⊆ Aut C61444C6.13(D6:S3)432,70
C6.14(D6:S3) = Dic6:D9φ: D6:S3/S3xC6 → C2 ⊆ Aut C61444C6.14(D6:S3)432,72
C6.15(D6:S3) = C12.D18φ: D6:S3/S3xC6 → C2 ⊆ Aut C61444C6.15(D6:S3)432,74
C6.16(D6:S3) = C18.Dic6φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.16(D6:S3)432,89
C6.17(D6:S3) = D18:Dic3φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.17(D6:S3)432,91
C6.18(D6:S3) = D6:Dic9φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.18(D6:S3)432,93
C6.19(D6:S3) = C2xD6:D9φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.19(D6:S3)432,311
C6.20(D6:S3) = C33:6D8φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.20(D6:S3)432,436
C6.21(D6:S3) = C33:12SD16φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.21(D6:S3)432,439
C6.22(D6:S3) = C33:13SD16φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.22(D6:S3)432,440
C6.23(D6:S3) = C33:6Q16φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.23(D6:S3)432,445
C6.24(D6:S3) = C62.77D6φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.24(D6:S3)432,449
C6.25(D6:S3) = C62.78D6φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.25(D6:S3)432,450
C6.26(D6:S3) = C62.81D6φ: D6:S3/S3xC6 → C2 ⊆ Aut C6144C6.26(D6:S3)432,453
C6.27(D6:S3) = C3xC32:2D8central extension (φ=1)484C6.27(D6:S3)432,418
C6.28(D6:S3) = C3xDic6:S3central extension (φ=1)484C6.28(D6:S3)432,420
C6.29(D6:S3) = C3xC32:2Q16central extension (φ=1)484C6.29(D6:S3)432,423
C6.30(D6:S3) = C3xD6:Dic3central extension (φ=1)48C6.30(D6:S3)432,426
C6.31(D6:S3) = C3xC62.C22central extension (φ=1)48C6.31(D6:S3)432,429

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