Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C3×C4⋊C4 and Q=C4

Direct product G=N×Q with N=C3×C4⋊C4 and Q=C4
dρLabelID
C12×C4⋊C4192C12xC4:C4192,811

Semidirect products G=N:Q with N=C3×C4⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4)⋊1C4 = (C6×D4)⋊C4φ: C4/C1 → C4 ⊆ Out C3×C4⋊C448(C3xC4:C4):1C4192,96
(C3×C4⋊C4)⋊2C4 = (C6×Q8)⋊C4φ: C4/C1 → C4 ⊆ Out C3×C4⋊C448(C3xC4:C4):2C4192,97
(C3×C4⋊C4)⋊3C4 = C3×C22.SD16φ: C4/C1 → C4 ⊆ Out C3×C4⋊C448(C3xC4:C4):3C4192,133
(C3×C4⋊C4)⋊4C4 = C3×C23.31D4φ: C4/C1 → C4 ⊆ Out C3×C4⋊C448(C3xC4:C4):4C4192,134
(C3×C4⋊C4)⋊5C4 = C12.C42φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4):5C4192,88
(C3×C4⋊C4)⋊6C4 = C12.2C42φ: C4/C2 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):6C4192,91
(C3×C4⋊C4)⋊7C4 = Dic3×C4⋊C4φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4):7C4192,533
(C3×C4⋊C4)⋊8C4 = C4⋊C4⋊5Dic3φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4):8C4192,539
(C3×C4⋊C4)⋊9C4 = C4⋊C4⋊6Dic3φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4):9C4192,543
(C3×C4⋊C4)⋊10C4 = C3×C42⋊6C4φ: C4/C2 → C2 ⊆ Out C3×C4⋊C448(C3xC4:C4):10C4192,145
(C3×C4⋊C4)⋊11C4 = C3×C22.4Q16φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4):11C4192,146
(C3×C4⋊C4)⋊12C4 = C3×C23.63C23φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4):12C4192,820
(C3×C4⋊C4)⋊13C4 = C3×C23.65C23φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4):13C4192,822

Non-split extensions G=N.Q with N=C3×C4⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4).1C4 = C42.8D6φ: C4/C1 → C4 ⊆ Out C3×C4⋊C4192(C3xC4:C4).1C4192,102
(C3×C4⋊C4).2C4 = C12.10D8φ: C4/C1 → C4 ⊆ Out C3×C4⋊C4192(C3xC4:C4).2C4192,106
(C3×C4⋊C4).3C4 = C3×C42.2C22φ: C4/C1 → C4 ⊆ Out C3×C4⋊C4192(C3xC4:C4).3C4192,136
(C3×C4⋊C4).4C4 = C3×C4.10D8φ: C4/C1 → C4 ⊆ Out C3×C4⋊C4192(C3xC4:C4).4C4192,138
(C3×C4⋊C4).5C4 = C12.57D8φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).5C4192,93
(C3×C4⋊C4).6C4 = C12.26Q16φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4).6C4192,94
(C3×C4⋊C4).7C4 = C12.5C42φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).7C4192,556
(C3×C4⋊C4).8C4 = C42.43D6φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).8C4192,558
(C3×C4⋊C4).9C4 = C42.187D6φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).9C4192,559
(C3×C4⋊C4).10C4 = D4×C3⋊C8φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).10C4192,569
(C3×C4⋊C4).11C4 = C42.47D6φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).11C4192,570
(C3×C4⋊C4).12C4 = C12⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).12C4192,571
(C3×C4⋊C4).13C4 = Q8×C3⋊C8φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4).13C4192,582
(C3×C4⋊C4).14C4 = C42.210D6φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4).14C4192,583
(C3×C4⋊C4).15C4 = C3×D4⋊C8φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).15C4192,131
(C3×C4⋊C4).16C4 = C3×Q8⋊C8φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4).16C4192,132
(C3×C4⋊C4).17C4 = C3×C42.6C22φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).17C4192,857
(C3×C4⋊C4).18C4 = C3×C42.7C22φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).18C4192,866
(C3×C4⋊C4).19C4 = C3×C8⋊9D4φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).19C4192,868
(C3×C4⋊C4).20C4 = C3×C8⋊6D4φ: C4/C2 → C2 ⊆ Out C3×C4⋊C496(C3xC4:C4).20C4192,869
(C3×C4⋊C4).21C4 = C3×C8⋊4Q8φ: C4/C2 → C2 ⊆ Out C3×C4⋊C4192(C3xC4:C4).21C4192,879
(C3×C4⋊C4).22C4 = C3×C8○2M4(2)φ: trivial image96(C3xC4:C4).22C4192,838
(C3×C4⋊C4).23C4 = D4×C24φ: trivial image96(C3xC4:C4).23C4192,867
(C3×C4⋊C4).24C4 = Q8×C24φ: trivial image192(C3xC4:C4).24C4192,878

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁