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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C22×C6

Direct product G=N×Q with N=Dic3 and Q=C22×C6
dρLabelID
Dic3×C22×C696Dic3xC2^2xC6288,1001

Semidirect products G=N:Q with N=Dic3 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C22×C6) = S3×C6×D4φ: C22×C6/C2×C6 → C2 ⊆ Out Dic348Dic3:1(C2^2xC6)288,992
Dic3⋊2(C22×C6) = C2×C6×C3⋊D4φ: C22×C6/C2×C6 → C2 ⊆ Out Dic348Dic3:2(C2^2xC6)288,1002
Dic3⋊3(C22×C6) = S3×C22×C12φ: trivial image96Dic3:3(C2^2xC6)288,989

Non-split extensions G=N.Q with N=Dic3 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
Dic3.1(C22×C6) = C2×C6×Dic6φ: C22×C6/C2×C6 → C2 ⊆ Out Dic396Dic3.1(C2^2xC6)288,988
Dic3.2(C22×C6) = C6×C4○D12φ: C22×C6/C2×C6 → C2 ⊆ Out Dic348Dic3.2(C2^2xC6)288,991
Dic3.3(C22×C6) = C6×D4⋊2S3φ: C22×C6/C2×C6 → C2 ⊆ Out Dic348Dic3.3(C2^2xC6)288,993
Dic3.4(C22×C6) = C3×D4⋊6D6φ: C22×C6/C2×C6 → C2 ⊆ Out Dic3244Dic3.4(C2^2xC6)288,994
Dic3.5(C22×C6) = S3×C6×Q8φ: C22×C6/C2×C6 → C2 ⊆ Out Dic396Dic3.5(C2^2xC6)288,995
Dic3.6(C22×C6) = C3×Q8.15D6φ: C22×C6/C2×C6 → C2 ⊆ Out Dic3484Dic3.6(C2^2xC6)288,997
Dic3.7(C22×C6) = C3×D4○D12φ: C22×C6/C2×C6 → C2 ⊆ Out Dic3484Dic3.7(C2^2xC6)288,999
Dic3.8(C22×C6) = C3×Q8○D12φ: C22×C6/C2×C6 → C2 ⊆ Out Dic3484Dic3.8(C2^2xC6)288,1000
Dic3.9(C22×C6) = C6×Q8⋊3S3φ: trivial image96Dic3.9(C2^2xC6)288,996
Dic3.10(C22×C6) = C3×S3×C4○D4φ: trivial image484Dic3.10(C2^2xC6)288,998

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