Extensions 1→N→G→Q→1 with N=Dic3 and Q=C22⋊C4

Direct product G=N×Q with N=Dic3 and Q=C22⋊C4
dρLabelID
Dic3×C22⋊C496Dic3xC2^2:C4192,500

Semidirect products G=N:Q with N=Dic3 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
Dic31(C22⋊C4) = C24.24D6φ: C22⋊C4/C2×C4C2 ⊆ Out Dic396Dic3:1(C2^2:C4)192,516
Dic32(C22⋊C4) = D6⋊(C4⋊C4)φ: C22⋊C4/C23C2 ⊆ Out Dic396Dic3:2(C2^2:C4)192,226
Dic33(C22⋊C4) = C24.55D6φ: C22⋊C4/C23C2 ⊆ Out Dic396Dic3:3(C2^2:C4)192,501
Dic34(C22⋊C4) = D6⋊C42φ: trivial image96Dic3:4(C2^2:C4)192,225

Non-split extensions G=N.Q with N=Dic3 and Q=C22⋊C4
extensionφ:Q→Out NdρLabelID
Dic3.1(C22⋊C4) = (C2×C12)⋊Q8φ: C22⋊C4/C2×C4C2 ⊆ Out Dic3192Dic3.1(C2^2:C4)192,205
Dic3.2(C22⋊C4) = D6⋊C8⋊C2φ: C22⋊C4/C2×C4C2 ⊆ Out Dic396Dic3.2(C2^2:C4)192,286
Dic3.3(C22⋊C4) = C23⋊C45S3φ: C22⋊C4/C2×C4C2 ⊆ Out Dic3488-Dic3.3(C2^2:C4)192,299
Dic3.4(C22⋊C4) = S3×C4.D4φ: C22⋊C4/C2×C4C2 ⊆ Out Dic3248+Dic3.4(C2^2:C4)192,303
Dic3.5(C22⋊C4) = S3×C4.10D4φ: C22⋊C4/C2×C4C2 ⊆ Out Dic3488-Dic3.5(C2^2:C4)192,309
Dic3.6(C22⋊C4) = S3×D4⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Out Dic348Dic3.6(C2^2:C4)192,328
Dic3.7(C22⋊C4) = C4⋊C419D6φ: C22⋊C4/C2×C4C2 ⊆ Out Dic348Dic3.7(C2^2:C4)192,329
Dic3.8(C22⋊C4) = S3×Q8⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Out Dic396Dic3.8(C2^2:C4)192,360
Dic3.9(C22⋊C4) = (S3×Q8)⋊C4φ: C22⋊C4/C2×C4C2 ⊆ Out Dic396Dic3.9(C2^2:C4)192,361
Dic3.10(C22⋊C4) = S3×C4≀C2φ: C22⋊C4/C2×C4C2 ⊆ Out Dic3244Dic3.10(C2^2:C4)192,379
Dic3.11(C22⋊C4) = D6⋊M4(2)φ: C22⋊C4/C23C2 ⊆ Out Dic348Dic3.11(C2^2:C4)192,285
Dic3.12(C22⋊C4) = D4⋊(C4×S3)φ: C22⋊C4/C23C2 ⊆ Out Dic396Dic3.12(C2^2:C4)192,330
Dic3.13(C22⋊C4) = Q87(C4×S3)φ: C22⋊C4/C23C2 ⊆ Out Dic396Dic3.13(C2^2:C4)192,362
Dic3.14(C22⋊C4) = C423D6φ: C22⋊C4/C23C2 ⊆ Out Dic3484Dic3.14(C2^2:C4)192,380
Dic3.15(C22⋊C4) = S3×C22⋊C8φ: trivial image48Dic3.15(C2^2:C4)192,283
Dic3.16(C22⋊C4) = M4(2).19D6φ: trivial image488-Dic3.16(C2^2:C4)192,304
Dic3.17(C22⋊C4) = M4(2).21D6φ: trivial image488+Dic3.17(C2^2:C4)192,310
Dic3.18(C22⋊C4) = D42S3⋊C4φ: trivial image96Dic3.18(C2^2:C4)192,331
Dic3.19(C22⋊C4) = C4⋊C4.150D6φ: trivial image96Dic3.19(C2^2:C4)192,363

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