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

Extensions 1→N→G→Q→1 with N=C2×C4⋊C4 and Q=C2

Direct product G=N×Q with N=C2×C4⋊C4 and Q=C2
dρLabelID
C22×C4⋊C464C2^2xC4:C464,194

Semidirect products G=N:Q with N=C2×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊C4)⋊1C2 = C23.7Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):1C264,61
(C2×C4⋊C4)⋊2C2 = C23.8Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):2C264,66
(C2×C4⋊C4)⋊3C2 = C24.C22φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):3C264,69
(C2×C4⋊C4)⋊4C2 = C24.3C22φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):4C264,71
(C2×C4⋊C4)⋊5C2 = C23.10D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):5C264,75
(C2×C4⋊C4)⋊6C2 = C23.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):6C264,77
(C2×C4⋊C4)⋊7C2 = C23.11D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):7C264,78
(C2×C4⋊C4)⋊8C2 = C23.4Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):8C264,80
(C2×C4⋊C4)⋊9C2 = C2×D4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):9C264,95
(C2×C4⋊C4)⋊10C2 = C23.36D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):10C264,98
(C2×C4⋊C4)⋊11C2 = C22.D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):11C264,161
(C2×C4⋊C4)⋊12C2 = C23.46D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):12C264,162
(C2×C4⋊C4)⋊13C2 = C23.33C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):13C264,201
(C2×C4⋊C4)⋊14C2 = C2×C4⋊D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):14C264,203
(C2×C4⋊C4)⋊15C2 = C2×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):15C264,204
(C2×C4⋊C4)⋊16C2 = C2×C22.D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):16C264,205
(C2×C4⋊C4)⋊17C2 = C2×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):17C264,209
(C2×C4⋊C4)⋊18C2 = C22.31C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):18C264,218
(C2×C4⋊C4)⋊19C2 = C22.33C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):19C264,220
(C2×C4⋊C4)⋊20C2 = D4⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):20C264,228
(C2×C4⋊C4)⋊21C2 = C22.46C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):21C264,233
(C2×C4⋊C4)⋊22C2 = C22.47C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):22C264,234
(C2×C4⋊C4)⋊23C2 = D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4):23C264,235
(C2×C4⋊C4)⋊24C2 = C2×C42⋊C2φ: trivial image32(C2xC4:C4):24C264,195
(C2×C4⋊C4)⋊25C2 = C2×C4×D4φ: trivial image32(C2xC4:C4):25C264,196

Non-split extensions G=N.Q with N=C2×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊C4).1C2 = C22.M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4).1C264,5
(C2×C4⋊C4).2C2 = C22.4Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).2C264,21
(C2×C4⋊C4).3C2 = C22.C42φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4).3C264,24
(C2×C4⋊C4).4C2 = C42⋊8C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).4C264,63
(C2×C4⋊C4).5C2 = C42⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).5C264,65
(C2×C4⋊C4).6C2 = C23.63C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).6C264,68
(C2×C4⋊C4).7C2 = C23.65C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).7C264,70
(C2×C4⋊C4).8C2 = C23.67C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).8C264,72
(C2×C4⋊C4).9C2 = C23.78C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).9C264,76
(C2×C4⋊C4).10C2 = C23.81C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).10C264,79
(C2×C4⋊C4).11C2 = C23.83C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).11C264,81
(C2×C4⋊C4).12C2 = C2×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).12C264,96
(C2×C4⋊C4).13C2 = C2×C4.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).13C264,106
(C2×C4⋊C4).14C2 = C2×C2.D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).14C264,107
(C2×C4⋊C4).15C2 = M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4).15C264,109
(C2×C4⋊C4).16C2 = C23.47D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4).16C264,164
(C2×C4⋊C4).17C2 = C23.48D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4).17C264,165
(C2×C4⋊C4).18C2 = C2×C42.C2φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).18C264,208
(C2×C4⋊C4).19C2 = C2×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C464(C2xC4:C4).19C264,212
(C2×C4⋊C4).20C2 = C23.41C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C432(C2xC4:C4).20C264,225
(C2×C4⋊C4).21C2 = C4×C4⋊C4φ: trivial image64(C2xC4:C4).21C264,59
(C2×C4⋊C4).22C2 = C2×C4×Q8φ: trivial image64(C2xC4:C4).22C264,197

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁