Extensions 1→N→G→Q→1 with N=C3xC4:C4 and Q=C4

Direct product G=NxQ with N=C3xC4:C4 and Q=C4
dρLabelID
C12xC4:C4192C12xC4:C4192,811

Semidirect products G=N:Q with N=C3xC4:C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3xC4:C4):1C4 = (C6xD4):C4φ: C4/C1C4 ⊆ Out C3xC4:C448(C3xC4:C4):1C4192,96
(C3xC4:C4):2C4 = (C6xQ8):C4φ: C4/C1C4 ⊆ Out C3xC4:C448(C3xC4:C4):2C4192,97
(C3xC4:C4):3C4 = C3xC22.SD16φ: C4/C1C4 ⊆ Out C3xC4:C448(C3xC4:C4):3C4192,133
(C3xC4:C4):4C4 = C3xC23.31D4φ: C4/C1C4 ⊆ Out C3xC4:C448(C3xC4:C4):4C4192,134
(C3xC4:C4):5C4 = C12.C42φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4):5C4192,88
(C3xC4:C4):6C4 = C12.2C42φ: C4/C2C2 ⊆ Out C3xC4:C448(C3xC4:C4):6C4192,91
(C3xC4:C4):7C4 = Dic3xC4:C4φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4):7C4192,533
(C3xC4:C4):8C4 = C4:C4:5Dic3φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4):8C4192,539
(C3xC4:C4):9C4 = C4:C4:6Dic3φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4):9C4192,543
(C3xC4:C4):10C4 = C3xC42:6C4φ: C4/C2C2 ⊆ Out C3xC4:C448(C3xC4:C4):10C4192,145
(C3xC4:C4):11C4 = C3xC22.4Q16φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4):11C4192,146
(C3xC4:C4):12C4 = C3xC23.63C23φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4):12C4192,820
(C3xC4:C4):13C4 = C3xC23.65C23φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4):13C4192,822

Non-split extensions G=N.Q with N=C3xC4:C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3xC4:C4).1C4 = C42.8D6φ: C4/C1C4 ⊆ Out C3xC4:C4192(C3xC4:C4).1C4192,102
(C3xC4:C4).2C4 = C12.10D8φ: C4/C1C4 ⊆ Out C3xC4:C4192(C3xC4:C4).2C4192,106
(C3xC4:C4).3C4 = C3xC42.2C22φ: C4/C1C4 ⊆ Out C3xC4:C4192(C3xC4:C4).3C4192,136
(C3xC4:C4).4C4 = C3xC4.10D8φ: C4/C1C4 ⊆ Out C3xC4:C4192(C3xC4:C4).4C4192,138
(C3xC4:C4).5C4 = C12.57D8φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).5C4192,93
(C3xC4:C4).6C4 = C12.26Q16φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4).6C4192,94
(C3xC4:C4).7C4 = C12.5C42φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).7C4192,556
(C3xC4:C4).8C4 = C42.43D6φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).8C4192,558
(C3xC4:C4).9C4 = C42.187D6φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).9C4192,559
(C3xC4:C4).10C4 = D4xC3:C8φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).10C4192,569
(C3xC4:C4).11C4 = C42.47D6φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).11C4192,570
(C3xC4:C4).12C4 = C12:3M4(2)φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).12C4192,571
(C3xC4:C4).13C4 = Q8xC3:C8φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4).13C4192,582
(C3xC4:C4).14C4 = C42.210D6φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4).14C4192,583
(C3xC4:C4).15C4 = C3xD4:C8φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).15C4192,131
(C3xC4:C4).16C4 = C3xQ8:C8φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4).16C4192,132
(C3xC4:C4).17C4 = C3xC42.6C22φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).17C4192,857
(C3xC4:C4).18C4 = C3xC42.7C22φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).18C4192,866
(C3xC4:C4).19C4 = C3xC8:9D4φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).19C4192,868
(C3xC4:C4).20C4 = C3xC8:6D4φ: C4/C2C2 ⊆ Out C3xC4:C496(C3xC4:C4).20C4192,869
(C3xC4:C4).21C4 = C3xC8:4Q8φ: C4/C2C2 ⊆ Out C3xC4:C4192(C3xC4:C4).21C4192,879
(C3xC4:C4).22C4 = C3xC8o2M4(2)φ: trivial image96(C3xC4:C4).22C4192,838
(C3xC4:C4).23C4 = D4xC24φ: trivial image96(C3xC4:C4).23C4192,867
(C3xC4:C4).24C4 = Q8xC24φ: trivial image192(C3xC4:C4).24C4192,878

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