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Extensions 1→N→G→Q→1 with N=Q8 and Q=S3×C6

Direct product G=N×Q with N=Q8 and Q=S3×C6
dρLabelID
S3×C6×Q896S3xC6xQ8288,995

Semidirect products G=N:Q with N=Q8 and Q=S3×C6
extensionφ:Q→Out NdρLabelID
Q8⋊(S3×C6) = C6×GL2(𝔽3)φ: S3×C6/C6 → S3 ⊆ Out Q848Q8:(S3xC6)288,900
Q8⋊2(S3×C6) = C2×S3×SL2(𝔽3)φ: S3×C6/D6 → C3 ⊆ Out Q848Q8:2(S3xC6)288,922
Q8⋊3(S3×C6) = C3×S3×SD16φ: S3×C6/C3×S3 → C2 ⊆ Out Q8484Q8:3(S3xC6)288,684
Q8⋊4(S3×C6) = C3×Q8⋊3D6φ: S3×C6/C3×S3 → C2 ⊆ Out Q8484Q8:4(S3xC6)288,685
Q8⋊5(S3×C6) = C6×Q8⋊2S3φ: S3×C6/C3×C6 → C2 ⊆ Out Q896Q8:5(S3xC6)288,712
Q8⋊6(S3×C6) = C3×D4⋊D6φ: S3×C6/C3×C6 → C2 ⊆ Out Q8484Q8:6(S3xC6)288,720
Q8⋊7(S3×C6) = C6×Q8⋊3S3φ: trivial image96Q8:7(S3xC6)288,996
Q8⋊8(S3×C6) = C3×S3×C4○D4φ: trivial image484Q8:8(S3xC6)288,998
Q8⋊9(S3×C6) = C3×D4○D12φ: trivial image484Q8:9(S3xC6)288,999

Non-split extensions G=N.Q with N=Q8 and Q=S3×C6
extensionφ:Q→Out NdρLabelID
Q8.1(S3×C6) = C6×CSU2(𝔽3)φ: S3×C6/C6 → S3 ⊆ Out Q896Q8.1(S3xC6)288,899
Q8.2(S3×C6) = C3×Q8.D6φ: S3×C6/C6 → S3 ⊆ Out Q8484Q8.2(S3xC6)288,901
Q8.3(S3×C6) = C3×C4.S4φ: S3×C6/C6 → S3 ⊆ Out Q8964Q8.3(S3xC6)288,902
Q8.4(S3×C6) = C3×C4.6S4φ: S3×C6/C6 → S3 ⊆ Out Q8482Q8.4(S3xC6)288,903
Q8.5(S3×C6) = C3×C4.3S4φ: S3×C6/C6 → S3 ⊆ Out Q8484Q8.5(S3xC6)288,904
Q8.6(S3×C6) = C2×Dic3.A4φ: S3×C6/D6 → C3 ⊆ Out Q896Q8.6(S3xC6)288,921
Q8.7(S3×C6) = SL2(𝔽3).11D6φ: S3×C6/D6 → C3 ⊆ Out Q8484Q8.7(S3xC6)288,923
Q8.8(S3×C6) = Dic6.A4φ: S3×C6/D6 → C3 ⊆ Out Q8724+Q8.8(S3xC6)288,924
Q8.9(S3×C6) = S3×C4.A4φ: S3×C6/D6 → C3 ⊆ Out Q8484Q8.9(S3xC6)288,925
Q8.10(S3×C6) = D12.A4φ: S3×C6/D6 → C3 ⊆ Out Q8484-Q8.10(S3xC6)288,926
Q8.11(S3×C6) = C3×D4.D6φ: S3×C6/C3×S3 → C2 ⊆ Out Q8484Q8.11(S3xC6)288,686
Q8.12(S3×C6) = C3×Q8.7D6φ: S3×C6/C3×S3 → C2 ⊆ Out Q8484Q8.12(S3xC6)288,687
Q8.13(S3×C6) = C3×S3×Q16φ: S3×C6/C3×S3 → C2 ⊆ Out Q8964Q8.13(S3xC6)288,688
Q8.14(S3×C6) = C3×Q16⋊S3φ: S3×C6/C3×S3 → C2 ⊆ Out Q8964Q8.14(S3xC6)288,689
Q8.15(S3×C6) = C3×D24⋊C2φ: S3×C6/C3×S3 → C2 ⊆ Out Q8964Q8.15(S3xC6)288,690
Q8.16(S3×C6) = C3×Q8.11D6φ: S3×C6/C3×C6 → C2 ⊆ Out Q8484Q8.16(S3xC6)288,713
Q8.17(S3×C6) = C6×C3⋊Q16φ: S3×C6/C3×C6 → C2 ⊆ Out Q896Q8.17(S3xC6)288,714
Q8.18(S3×C6) = C3×Q8.13D6φ: S3×C6/C3×C6 → C2 ⊆ Out Q8484Q8.18(S3xC6)288,721
Q8.19(S3×C6) = C3×Q8.14D6φ: S3×C6/C3×C6 → C2 ⊆ Out Q8484Q8.19(S3xC6)288,722
Q8.20(S3×C6) = C3×Q8.15D6φ: trivial image484Q8.20(S3xC6)288,997
Q8.21(S3×C6) = C3×Q8○D12φ: trivial image484Q8.21(S3xC6)288,1000

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