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

Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=Q8

Direct product G=N×Q with N=C2×Q8 and Q=Q8
dρLabelID
C2×Q82128C2xQ8^2128,2209

Semidirect products G=N:Q with N=C2×Q8 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1Q8 = (C2×Q8)⋊Q8φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8):1Q8128,756
(C2×Q8)⋊2Q8 = (C2×Q8)⋊2Q8φ: Q8/C2 → C22 ⊆ Out C2×Q832(C2xQ8):2Q8128,760
(C2×Q8)⋊3Q8 = C42.8D4φ: Q8/C2 → C22 ⊆ Out C2×Q8164(C2xQ8):3Q8128,763
(C2×Q8)⋊4Q8 = C23.699C24φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8):4Q8128,1531
(C2×Q8)⋊5Q8 = C23.706C24φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8):5Q8128,1538
(C2×Q8)⋊6Q8 = C23.711C24φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8):6Q8128,1543
(C2×Q8)⋊7Q8 = C42.21C23φ: Q8/C2 → C22 ⊆ Out C2×Q864(C2xQ8):7Q8128,1814
(C2×Q8)⋊8Q8 = C23.351C24φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8):8Q8128,1183
(C2×Q8)⋊9Q8 = C42.176D4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8):9Q8128,1299
(C2×Q8)⋊10Q8 = C42.177D4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8):10Q8128,1300
(C2×Q8)⋊11Q8 = C42.179D4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8):11Q8128,1313
(C2×Q8)⋊12Q8 = C42.180D4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8):12Q8128,1314
(C2×Q8)⋊13Q8 = C2×Q8⋊Q8φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8):13Q8128,1805
(C2×Q8)⋊14Q8 = C2×C4.Q16φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8):14Q8128,1806
(C2×Q8)⋊15Q8 = C42.220D4φ: Q8/C4 → C2 ⊆ Out C2×Q864(C2xQ8):15Q8128,1810
(C2×Q8)⋊16Q8 = C22.91C25φ: Q8/C4 → C2 ⊆ Out C2×Q864(C2xQ8):16Q8128,2234
(C2×Q8)⋊17Q8 = C2×Q8⋊3Q8φ: trivial image128(C2xQ8):17Q8128,2208

Non-split extensions G=N.Q with N=C2×Q8 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×Q8).1Q8 = C23.2C42φ: Q8/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).1Q8128,123
(C2×Q8).2Q8 = (C2×Q8).Q8φ: Q8/C2 → C22 ⊆ Out C2×Q832(C2xQ8).2Q8128,126
(C2×Q8).3Q8 = C4.10D4⋊2C4φ: Q8/C2 → C22 ⊆ Out C2×Q832(C2xQ8).3Q8128,589
(C2×Q8).4Q8 = M4(2).41D4φ: Q8/C2 → C22 ⊆ Out C2×Q8164(C2xQ8).4Q8128,593
(C2×Q8).5Q8 = (C2×D4).Q8φ: Q8/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).5Q8128,600
(C2×Q8).6Q8 = C4⋊C4.85D4φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).6Q8128,758
(C2×Q8).7Q8 = M4(2).13D4φ: Q8/C2 → C22 ⊆ Out C2×Q864(C2xQ8).7Q8128,796
(C2×Q8).8Q8 = (C2×Q8).8Q8φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).8Q8128,798
(C2×Q8).9Q8 = (C2×C8).52D4φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).9Q8128,800
(C2×Q8).10Q8 = (C2×C8).60D4φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).10Q8128,827
(C2×Q8).11Q8 = (C2×C8).170D4φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).11Q8128,828
(C2×Q8).12Q8 = (C2×C8).171D4φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).12Q8128,829
(C2×Q8).13Q8 = C42.10D4φ: Q8/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).13Q8128,830
(C2×Q8).14Q8 = C23.709C24φ: Q8/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).14Q8128,1541
(C2×Q8).15Q8 = C42.97D4φ: Q8/C4 → C2 ⊆ Out C2×Q864(C2xQ8).15Q8128,533
(C2×Q8).16Q8 = C42.99D4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).16Q8128,535
(C2×Q8).17Q8 = C42.101D4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).17Q8128,537
(C2×Q8).18Q8 = (C2×D4).24Q8φ: Q8/C4 → C2 ⊆ Out C2×Q8324(C2xQ8).18Q8128,544
(C2×Q8).19Q8 = C8○D4⋊C4φ: Q8/C4 → C2 ⊆ Out C2×Q8324(C2xQ8).19Q8128,546
(C2×Q8).20Q8 = Q8⋊(C4⋊C4)φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).20Q8128,595
(C2×Q8).21Q8 = Q8⋊C4⋊C4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).21Q8128,597
(C2×Q8).22Q8 = C23.353C24φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).22Q8128,1185
(C2×Q8).23Q8 = C42.174D4φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).23Q8128,1297
(C2×Q8).24Q8 = M4(2).29C23φ: Q8/C4 → C2 ⊆ Out C2×Q8324(C2xQ8).24Q8128,1648
(C2×Q8).25Q8 = C2×Q8.Q8φ: Q8/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).25Q8128,1807
(C2×Q8).26Q8 = Q8×C4⋊C4φ: trivial image128(C2xQ8).26Q8128,1082
(C2×Q8).27Q8 = C23.233C24φ: trivial image128(C2xQ8).27Q8128,1083

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁