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Extensions 1→N→G→Q→1 with N=Dic6 and Q=C2×C6

Direct product G=N×Q with N=Dic6 and Q=C2×C6
dρLabelID
C2×C6×Dic696C2xC6xDic6288,988

Semidirect products G=N:Q with N=Dic6 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic6⋊1(C2×C6) = C3×D8⋊S3φ: C2×C6/C3 → C22 ⊆ Out Dic6484Dic6:1(C2xC6)288,682
Dic6⋊2(C2×C6) = C3×S3×SD16φ: C2×C6/C3 → C22 ⊆ Out Dic6484Dic6:2(C2xC6)288,684
Dic6⋊3(C2×C6) = C6×C24⋊C2φ: C2×C6/C6 → C2 ⊆ Out Dic696Dic6:3(C2xC6)288,673
Dic6⋊4(C2×C6) = C3×C8⋊D6φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6:4(C2xC6)288,679
Dic6⋊5(C2×C6) = C3×D12⋊6C22φ: C2×C6/C6 → C2 ⊆ Out Dic6244Dic6:5(C2xC6)288,703
Dic6⋊6(C2×C6) = C6×D4.S3φ: C2×C6/C6 → C2 ⊆ Out Dic648Dic6:6(C2xC6)288,704
Dic6⋊7(C2×C6) = C6×D4⋊2S3φ: C2×C6/C6 → C2 ⊆ Out Dic648Dic6:7(C2xC6)288,993
Dic6⋊8(C2×C6) = C3×D4⋊6D6φ: C2×C6/C6 → C2 ⊆ Out Dic6244Dic6:8(C2xC6)288,994
Dic6⋊9(C2×C6) = S3×C6×Q8φ: C2×C6/C6 → C2 ⊆ Out Dic696Dic6:9(C2xC6)288,995
Dic6⋊10(C2×C6) = C3×S3×C4○D4φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6:10(C2xC6)288,998
Dic6⋊11(C2×C6) = C6×C4○D12φ: trivial image48Dic6:11(C2xC6)288,991
Dic6⋊12(C2×C6) = C3×D4○D12φ: trivial image484Dic6:12(C2xC6)288,999

Non-split extensions G=N.Q with N=Dic6 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic6.1(C2×C6) = C3×D8⋊3S3φ: C2×C6/C3 → C22 ⊆ Out Dic6484Dic6.1(C2xC6)288,683
Dic6.2(C2×C6) = C3×D4.D6φ: C2×C6/C3 → C22 ⊆ Out Dic6484Dic6.2(C2xC6)288,686
Dic6.3(C2×C6) = C3×Q8.7D6φ: C2×C6/C3 → C22 ⊆ Out Dic6484Dic6.3(C2xC6)288,687
Dic6.4(C2×C6) = C3×S3×Q16φ: C2×C6/C3 → C22 ⊆ Out Dic6964Dic6.4(C2xC6)288,688
Dic6.5(C2×C6) = C3×Q16⋊S3φ: C2×C6/C3 → C22 ⊆ Out Dic6964Dic6.5(C2xC6)288,689
Dic6.6(C2×C6) = C3×C4○D24φ: C2×C6/C6 → C2 ⊆ Out Dic6482Dic6.6(C2xC6)288,675
Dic6.7(C2×C6) = C6×Dic12φ: C2×C6/C6 → C2 ⊆ Out Dic696Dic6.7(C2xC6)288,676
Dic6.8(C2×C6) = C3×C8.D6φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6.8(C2xC6)288,680
Dic6.9(C2×C6) = C3×Q8.11D6φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6.9(C2xC6)288,713
Dic6.10(C2×C6) = C6×C3⋊Q16φ: C2×C6/C6 → C2 ⊆ Out Dic696Dic6.10(C2xC6)288,714
Dic6.11(C2×C6) = C3×Q8.13D6φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6.11(C2xC6)288,721
Dic6.12(C2×C6) = C3×Q8.14D6φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6.12(C2xC6)288,722
Dic6.13(C2×C6) = C3×Q8.15D6φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6.13(C2xC6)288,997
Dic6.14(C2×C6) = C3×Q8○D12φ: C2×C6/C6 → C2 ⊆ Out Dic6484Dic6.14(C2xC6)288,1000

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