Extensions 1→N→G→Q→1 with N=C33 and Q=C2×D4

Direct product G=N×Q with N=C33 and Q=C2×D4
dρLabelID
D4×C32×C6216D4xC3^2xC6432,731

Semidirect products G=N:Q with N=C33 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C33⋊(C2×D4) = S3×S3≀C2φ: C2×D4/C1 → C2×D4 ⊆ Aut C33128+C3^3:(C2xD4)432,741
C33⋊2(C2×D4) = C6×S3≀C2φ: C2×D4/C2 → D4 ⊆ Aut C33244C3^3:2(C2xD4)432,754
C33⋊3(C2×D4) = C2×C33⋊D4φ: C2×D4/C2 → D4 ⊆ Aut C33244C3^3:3(C2xD4)432,755
C33⋊4(C2×D4) = C2×C32⋊2D12φ: C2×D4/C2 → D4 ⊆ Aut C33248+C3^3:4(C2xD4)432,756
C33⋊5(C2×D4) = S3×D6⋊S3φ: C2×D4/C2 → C23 ⊆ Aut C33488-C3^3:5(C2xD4)432,597
C33⋊6(C2×D4) = S3×C3⋊D12φ: C2×D4/C2 → C23 ⊆ Aut C33248+C3^3:6(C2xD4)432,598
C33⋊7(C2×D4) = D6⋊4S32φ: C2×D4/C2 → C23 ⊆ Aut C33248+C3^3:7(C2xD4)432,599
C33⋊8(C2×D4) = D6⋊S32φ: C2×D4/C2 → C23 ⊆ Aut C33488-C3^3:8(C2xD4)432,600
C33⋊9(C2×D4) = (S3×C6)⋊D6φ: C2×D4/C2 → C23 ⊆ Aut C33248+C3^3:9(C2xD4)432,601
C33⋊10(C2×D4) = C3⋊S3⋊4D12φ: C2×D4/C2 → C23 ⊆ Aut C33248+C3^3:10(C2xD4)432,602
C33⋊11(C2×D4) = C3×S3×D12φ: C2×D4/C4 → C22 ⊆ Aut C33484C3^3:11(C2xD4)432,649
C33⋊12(C2×D4) = C3×D6⋊D6φ: C2×D4/C4 → C22 ⊆ Aut C33484C3^3:12(C2xD4)432,650
C33⋊13(C2×D4) = S3×C12⋊S3φ: C2×D4/C4 → C22 ⊆ Aut C3372C3^3:13(C2xD4)432,671
C33⋊14(C2×D4) = C3⋊S3×D12φ: C2×D4/C4 → C22 ⊆ Aut C3372C3^3:14(C2xD4)432,672
C33⋊15(C2×D4) = C12⋊S32φ: C2×D4/C4 → C22 ⊆ Aut C3372C3^3:15(C2xD4)432,673
C33⋊16(C2×D4) = C12⋊3S32φ: C2×D4/C4 → C22 ⊆ Aut C33484C3^3:16(C2xD4)432,691
C33⋊17(C2×D4) = C6×D6⋊S3φ: C2×D4/C22 → C22 ⊆ Aut C3348C3^3:17(C2xD4)432,655
C33⋊18(C2×D4) = C6×C3⋊D12φ: C2×D4/C22 → C22 ⊆ Aut C3348C3^3:18(C2xD4)432,656
C33⋊19(C2×D4) = C3×S3×C3⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C33244C3^3:19(C2xD4)432,658
C33⋊20(C2×D4) = C3×Dic3⋊D6φ: C2×D4/C22 → C22 ⊆ Aut C33244C3^3:20(C2xD4)432,659
C33⋊21(C2×D4) = C2×C33⋊6D4φ: C2×D4/C22 → C22 ⊆ Aut C33144C3^3:21(C2xD4)432,680
C33⋊22(C2×D4) = C2×C33⋊7D4φ: C2×D4/C22 → C22 ⊆ Aut C3372C3^3:22(C2xD4)432,681
C33⋊23(C2×D4) = C2×C33⋊8D4φ: C2×D4/C22 → C22 ⊆ Aut C3372C3^3:23(C2xD4)432,682
C33⋊24(C2×D4) = S3×C32⋊7D4φ: C2×D4/C22 → C22 ⊆ Aut C3372C3^3:24(C2xD4)432,684
C33⋊25(C2×D4) = C3⋊S3×C3⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C3372C3^3:25(C2xD4)432,685
C33⋊26(C2×D4) = C62⋊23D6φ: C2×D4/C22 → C22 ⊆ Aut C3336C3^3:26(C2xD4)432,686
C33⋊27(C2×D4) = C2×C33⋊9D4φ: C2×D4/C22 → C22 ⊆ Aut C3348C3^3:27(C2xD4)432,694
C33⋊28(C2×D4) = C62⋊24D6φ: C2×D4/C22 → C22 ⊆ Aut C33244C3^3:28(C2xD4)432,696
C33⋊29(C2×D4) = C3×C6×D12φ: C2×D4/C2×C4 → C2 ⊆ Aut C33144C3^3:29(C2xD4)432,702
C33⋊30(C2×D4) = C6×C12⋊S3φ: C2×D4/C2×C4 → C2 ⊆ Aut C33144C3^3:30(C2xD4)432,712
C33⋊31(C2×D4) = C2×C33⋊12D4φ: C2×D4/C2×C4 → C2 ⊆ Aut C33216C3^3:31(C2xD4)432,722
C33⋊32(C2×D4) = S3×D4×C32φ: C2×D4/D4 → C2 ⊆ Aut C3372C3^3:32(C2xD4)432,704
C33⋊33(C2×D4) = C3×D4×C3⋊S3φ: C2×D4/D4 → C2 ⊆ Aut C3372C3^3:33(C2xD4)432,714
C33⋊34(C2×D4) = D4×C33⋊C2φ: C2×D4/D4 → C2 ⊆ Aut C33108C3^3:34(C2xD4)432,724
C33⋊35(C2×D4) = C3×C6×C3⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C3372C3^3:35(C2xD4)432,709
C33⋊36(C2×D4) = C6×C32⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C3372C3^3:36(C2xD4)432,719
C33⋊37(C2×D4) = C2×C33⋊15D4φ: C2×D4/C23 → C2 ⊆ Aut C33216C3^3:37(C2xD4)432,729


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