Extensions 1→N→G→Q→1 with N=C23xDic3 and Q=C2

Direct product G=NxQ with N=C23xDic3 and Q=C2
dρLabelID
Dic3xC24192Dic3xC2^4192,1528

Semidirect products G=N:Q with N=C23xDic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C23xDic3):1C2 = C24.60D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):1C2192,517
(C23xDic3):2C2 = C24.29D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):2C2192,779
(C23xDic3):3C2 = C2xDic3:4D4φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):3C2192,1044
(C23xDic3):4C2 = C2xC23.21D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):4C2192,1051
(C23xDic3):5C2 = C24.67D6φ: C2/C1C2 ⊆ Out C23xDic348(C2^3xDic3):5C2192,1145
(C23xDic3):6C2 = C22xD6:C4φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):6C2192,1346
(C23xDic3):7C2 = C2xD4xDic3φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):7C2192,1354
(C23xDic3):8C2 = C2xC23.23D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):8C2192,1355
(C23xDic3):9C2 = C2xC23.14D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):9C2192,1361
(C23xDic3):10C2 = C22xC6.D4φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):10C2192,1398
(C23xDic3):11C2 = C22xD4:2S3φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):11C2192,1515
(C23xDic3):12C2 = C23xC3:D4φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3):12C2192,1529
(C23xDic3):13C2 = S3xC23xC4φ: trivial image96(C2^3xDic3):13C2192,1511

Non-split extensions G=N.Q with N=C23xDic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C23xDic3).1C2 = Dic3xC22:C4φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3).1C2192,500
(C23xDic3).2C2 = C24.55D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3).2C2192,501
(C23xDic3).3C2 = C24.56D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3).3C2192,502
(C23xDic3).4C2 = C24.57D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3).4C2192,505
(C23xDic3).5C2 = C24.58D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3).5C2192,509
(C23xDic3).6C2 = C2xC6.C42φ: C2/C1C2 ⊆ Out C23xDic3192(C2^3xDic3).6C2192,767
(C23xDic3).7C2 = C2xC23.16D6φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3).7C2192,1039
(C23xDic3).8C2 = C2xDic3.D4φ: C2/C1C2 ⊆ Out C23xDic396(C2^3xDic3).8C2192,1040
(C23xDic3).9C2 = C22xDic3:C4φ: C2/C1C2 ⊆ Out C23xDic3192(C2^3xDic3).9C2192,1342
(C23xDic3).10C2 = C22xC4:Dic3φ: C2/C1C2 ⊆ Out C23xDic3192(C2^3xDic3).10C2192,1344
(C23xDic3).11C2 = C23xDic6φ: C2/C1C2 ⊆ Out C23xDic3192(C2^3xDic3).11C2192,1510
(C23xDic3).12C2 = Dic3xC22xC4φ: trivial image192(C2^3xDic3).12C2192,1341

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