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

Direct product G=NxQ with N=Dic3 and Q=C22:C4
dρLabelID
Dic3xC22:C496Dic3xC2^2:C4192,500

Semidirect products G=N:Q with N=Dic3 and Q=C22:C4
extensionφ:Q→Out NdρLabelID
Dic3:1(C22:C4) = C24.24D6φ: C22:C4/C2xC4 → C2 ⊆ Out Dic396Dic3:1(C2^2:C4)192,516
Dic3:2(C22:C4) = D6:(C4:C4)φ: C22:C4/C23 → C2 ⊆ Out Dic396Dic3:2(C2^2:C4)192,226
Dic3:3(C22:C4) = C24.55D6φ: C22:C4/C23 → C2 ⊆ Out Dic396Dic3:3(C2^2:C4)192,501
Dic3:4(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) = (C2xC12):Q8φ: C22:C4/C2xC4 → C2 ⊆ Out Dic3192Dic3.1(C2^2:C4)192,205
Dic3.2(C22:C4) = D6:C8:C2φ: C22:C4/C2xC4 → C2 ⊆ Out Dic396Dic3.2(C2^2:C4)192,286
Dic3.3(C22:C4) = C23:C4:5S3φ: C22:C4/C2xC4 → C2 ⊆ Out Dic3488-Dic3.3(C2^2:C4)192,299
Dic3.4(C22:C4) = S3xC4.D4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic3248+Dic3.4(C2^2:C4)192,303
Dic3.5(C22:C4) = S3xC4.10D4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic3488-Dic3.5(C2^2:C4)192,309
Dic3.6(C22:C4) = S3xD4:C4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic348Dic3.6(C2^2:C4)192,328
Dic3.7(C22:C4) = C4:C4:19D6φ: C22:C4/C2xC4 → C2 ⊆ Out Dic348Dic3.7(C2^2:C4)192,329
Dic3.8(C22:C4) = S3xQ8:C4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic396Dic3.8(C2^2:C4)192,360
Dic3.9(C22:C4) = (S3xQ8):C4φ: C22:C4/C2xC4 → C2 ⊆ Out Dic396Dic3.9(C2^2:C4)192,361
Dic3.10(C22:C4) = S3xC4wrC2φ: C22:C4/C2xC4 → C2 ⊆ Out Dic3244Dic3.10(C2^2:C4)192,379
Dic3.11(C22:C4) = D6:M4(2)φ: C22:C4/C23 → C2 ⊆ Out Dic348Dic3.11(C2^2:C4)192,285
Dic3.12(C22:C4) = D4:(C4xS3)φ: C22:C4/C23 → C2 ⊆ Out Dic396Dic3.12(C2^2:C4)192,330
Dic3.13(C22:C4) = Q8:7(C4xS3)φ: C22:C4/C23 → C2 ⊆ Out Dic396Dic3.13(C2^2:C4)192,362
Dic3.14(C22:C4) = C42:3D6φ: C22:C4/C23 → C2 ⊆ Out Dic3484Dic3.14(C2^2:C4)192,380
Dic3.15(C22:C4) = S3xC22: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) = D4:2S3: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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