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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C3⋊D4

Direct product G=N×Q with N=Dic3 and Q=C3⋊D4
dρLabelID
Dic3×C3⋊D448Dic3xC3:D4288,620

Semidirect products G=N:Q with N=Dic3 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C3⋊D4) = C62.121C23φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic348Dic3:1(C3:D4)288,627
Dic3⋊2(C3⋊D4) = C62.100C23φ: C3⋊D4/D6 → C2 ⊆ Out Dic348Dic3:2(C3:D4)288,606
Dic3⋊3(C3⋊D4) = C62.112C23φ: C3⋊D4/D6 → C2 ⊆ Out Dic348Dic3:3(C3:D4)288,618
Dic3⋊4(C3⋊D4) = D6⋊D12φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic348Dic3:4(C3:D4)288,554
Dic3⋊5(C3⋊D4) = C62⋊6D4φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic348Dic3:5(C3:D4)288,626
Dic3⋊6(C3⋊D4) = C62.49C23φ: trivial image96Dic3:6(C3:D4)288,527
Dic3⋊7(C3⋊D4) = C62.74C23φ: trivial image48Dic3:7(C3:D4)288,552
Dic3⋊8(C3⋊D4) = C62.94C23φ: trivial image48Dic3:8(C3:D4)288,600

Non-split extensions G=N.Q with N=Dic3 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
Dic3.1(C3⋊D4) = C62.9C23φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic396Dic3.1(C3:D4)288,487
Dic3.2(C3⋊D4) = C62.77C23φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic348Dic3.2(C3:D4)288,555
Dic3.3(C3⋊D4) = S3×D4⋊S3φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic3488+Dic3.3(C3:D4)288,572
Dic3.4(C3⋊D4) = S3×D4.S3φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic3488-Dic3.4(C3:D4)288,576
Dic3.5(C3⋊D4) = S3×Q8⋊2S3φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic3488+Dic3.5(C3:D4)288,586
Dic3.6(C3⋊D4) = S3×C3⋊Q16φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic3968-Dic3.6(C3:D4)288,590
Dic3.7(C3⋊D4) = C62.101C23φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic348Dic3.7(C3:D4)288,607
Dic3.8(C3⋊D4) = D6⋊1Dic6φ: C3⋊D4/D6 → C2 ⊆ Out Dic396Dic3.8(C3:D4)288,535
Dic3.9(C3⋊D4) = C62.58C23φ: C3⋊D4/D6 → C2 ⊆ Out Dic348Dic3.9(C3:D4)288,536
Dic3.10(C3⋊D4) = D12⋊9D6φ: C3⋊D4/D6 → C2 ⊆ Out Dic3488-Dic3.10(C3:D4)288,580
Dic3.11(C3⋊D4) = D12.7D6φ: C3⋊D4/D6 → C2 ⊆ Out Dic3488+Dic3.11(C3:D4)288,582
Dic3.12(C3⋊D4) = D12.24D6φ: C3⋊D4/D6 → C2 ⊆ Out Dic3968-Dic3.12(C3:D4)288,594
Dic3.13(C3⋊D4) = Dic6.22D6φ: C3⋊D4/D6 → C2 ⊆ Out Dic3488+Dic3.13(C3:D4)288,596
Dic3.14(C3⋊D4) = D6⋊Dic6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic396Dic3.14(C3:D4)288,499
Dic3.15(C3⋊D4) = Dic6⋊3D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic3488+Dic3.15(C3:D4)288,573
Dic3.16(C3⋊D4) = Dic6.19D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic3488-Dic3.16(C3:D4)288,577
Dic3.17(C3⋊D4) = D12⋊6D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic3488+Dic3.17(C3:D4)288,587
Dic3.18(C3⋊D4) = D12.11D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic3968-Dic3.18(C3:D4)288,591
Dic3.19(C3⋊D4) = C62⋊3Q8φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic348Dic3.19(C3:D4)288,612
Dic3.20(C3⋊D4) = D12.22D6φ: trivial image488-Dic3.20(C3:D4)288,581
Dic3.21(C3⋊D4) = Dic6.20D6φ: trivial image488+Dic3.21(C3:D4)288,583
Dic3.22(C3⋊D4) = D12.12D6φ: trivial image968-Dic3.22(C3:D4)288,595
Dic3.23(C3⋊D4) = D12.13D6φ: trivial image488+Dic3.23(C3:D4)288,597

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