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

Direct product G=NxQ with N=Dic3:C4 and Q=C4
dρLabelID
C4xDic3:C4192C4xDic3:C4192,490

Semidirect products G=N:Q with N=Dic3:C4 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic3:C4:1C4 = (C2xC42).6S3φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4:1C4192,492
Dic3:C4:2C4 = C6.(C4xQ8)φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4:2C4192,206
Dic3:C4:3C4 = Dic3:C4:C4φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4:3C4192,214
Dic3:C4:4C4 = Dic3:C42φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4:4C4192,208
Dic3:C4:5C4 = C6.(C4xD4)φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4:5C4192,211
Dic3:C4:6C4 = Dic3:(C4:C4)φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4:6C4192,535
Dic3:C4:7C4 = C6.67(C4xD4)φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4:7C4192,537

Non-split extensions G=N.Q with N=Dic3:C4 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic3:C4.1C4 = C24:12Q8φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4.1C4192,238
Dic3:C4.2C4 = C42.243D6φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.2C4192,249
Dic3:C4.3C4 = C24:33D4φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.3C4192,670
Dic3:C4.4C4 = C24:Q8φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4.4C4192,260
Dic3:C4.5C4 = D6:2M4(2)φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.5C4192,287
Dic3:C4.6C4 = Dic3:M4(2)φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.6C4192,288
Dic3:C4.7C4 = D6.4C42φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.7C4192,267
Dic3:C4.8C4 = C42.185D6φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.8C4192,268
Dic3:C4.9C4 = C3:D4:C8φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.9C4192,284
Dic3:C4.10C4 = C3:C8:26D4φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.10C4192,289
Dic3:C4.11C4 = Dic6:C8φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4.11C4192,389
Dic3:C4.12C4 = C42.198D6φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4.12C4192,390
Dic3:C4.13C4 = C42.27D6φ: C4/C2 → C2 ⊆ Out Dic3:C4192Dic3:C4.13C4192,387
Dic3:C4.14C4 = C42.30D6φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.14C4192,398
Dic3:C4.15C4 = C42.31D6φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.15C4192,399
Dic3:C4.16C4 = C24:D4φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.16C4192,686
Dic3:C4.17C4 = C24:21D4φ: C4/C2 → C2 ⊆ Out Dic3:C496Dic3:C4.17C4192,687
Dic3:C4.18C4 = C8xDic6φ: trivial image192Dic3:C4.18C4192,237
Dic3:C4.19C4 = D6.C42φ: trivial image96Dic3:C4.19C4192,248
Dic3:C4.20C4 = C8xC3:D4φ: trivial image96Dic3:C4.20C4192,668

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