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

Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C2×C8

Direct product G=N×Q with N=C2×C4 and Q=C2×C8
dρLabelID
C22×C4×C8128C2^2xC4xC8128,1601

Semidirect products G=N:Q with N=C2×C4 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C2×C8) = C23.8M4(2)φ: C2×C8/C4 → C4 ⊆ Aut C2×C432(C2xC4):1(C2xC8)128,191
(C2×C4)⋊2(C2×C8) = C23.21M4(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4):2(C2xC8)128,582
(C2×C4)⋊3(C2×C8) = C23.22M4(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4):3(C2xC8)128,601
(C2×C4)⋊4(C2×C8) = C42.691C23φ: C2×C8/C4 → C22 ⊆ Aut C2×C432(C2xC4):4(C2xC8)128,1704
(C2×C4)⋊5(C2×C8) = C42.697C23φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4):5(C2xC8)128,1720
(C2×C4)⋊6(C2×C8) = C2×C22.M4(2)φ: C2×C8/C22 → C4 ⊆ Aut C2×C464(C2xC4):6(C2xC8)128,189
(C2×C4)⋊7(C2×C8) = C8×C22⋊C4φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4):7(C2xC8)128,483
(C2×C4)⋊8(C2×C8) = D4×C2×C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4):8(C2xC8)128,1658
(C2×C4)⋊9(C2×C8) = C8×C4○D4φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4):9(C2xC8)128,1696
(C2×C4)⋊10(C2×C8) = C2×C22.7C42φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4):10(C2xC8)128,459
(C2×C4)⋊11(C2×C8) = C22×C4⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4):11(C2xC8)128,1634
(C2×C4)⋊12(C2×C8) = C2×C42.12C4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4):12(C2xC8)128,1649

Non-split extensions G=N.Q with N=C2×C4 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C2×C8) = (C2×D4)⋊C8φ: C2×C8/C4 → C4 ⊆ Aut C2×C432(C2xC4).1(C2xC8)128,50
(C2×C4).2(C2×C8) = (C2×C42).C4φ: C2×C8/C4 → C4 ⊆ Aut C2×C432(C2xC4).2(C2xC8)128,51
(C2×C4).3(C2×C8) = C23.1M4(2)φ: C2×C8/C4 → C4 ⊆ Aut C2×C4324(C2xC4).3(C2xC8)128,53
(C2×C4).4(C2×C8) = C42.394D4φ: C2×C8/C4 → C4 ⊆ Aut C2×C464(C2xC4).4(C2xC8)128,193
(C2×C4).5(C2×C8) = M5(2).19C22φ: C2×C8/C4 → C4 ⊆ Aut C2×C4324(C2xC4).5(C2xC8)128,847
(C2×C4).6(C2×C8) = (C2×C4).98D8φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).6(C2xC8)128,2
(C2×C4).7(C2×C8) = C4⋊C4⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C4128(C2xC4).7(C2xC8)128,3
(C2×C4).8(C2×C8) = (C2×Q8)⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C4128(C2xC4).8(C2xC8)128,4
(C2×C4).9(C2×C8) = C42.3Q8φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).9(C2xC8)128,15
(C2×C4).10(C2×C8) = C23.M4(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).10(C2xC8)128,47
(C2×C4).11(C2×C8) = C23.7M4(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).11(C2xC8)128,55
(C2×C4).12(C2×C8) = C8.31D8φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).12(C2xC8)128,62
(C2×C4).13(C2×C8) = C8.17Q16φ: C2×C8/C4 → C22 ⊆ Aut C2×C4128(C2xC4).13(C2xC8)128,70
(C2×C4).14(C2×C8) = M4(2).C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C4324(C2xC4).14(C2xC8)128,110
(C2×C4).15(C2×C8) = C42.393D4φ: C2×C8/C4 → C22 ⊆ Aut C2×C432(C2xC4).15(C2xC8)128,192
(C2×C4).16(C2×C8) = C42.397D4φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).16(C2xC8)128,209
(C2×C4).17(C2×C8) = C42.398D4φ: C2×C8/C4 → C22 ⊆ Aut C2×C432(C2xC4).17(C2xC8)128,210
(C2×C4).18(C2×C8) = C42.399D4φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).18(C2xC8)128,211
(C2×C4).19(C2×C8) = M4(2)⋊1C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).19(C2xC8)128,297
(C2×C4).20(C2×C8) = C4⋊C4⋊3C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C4128(C2xC4).20(C2xC8)128,648
(C2×C4).21(C2×C8) = C22⋊C4⋊4C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).21(C2xC8)128,655
(C2×C4).22(C2×C8) = C42.61Q8φ: C2×C8/C4 → C22 ⊆ Aut C2×C4128(C2xC4).22(C2xC8)128,671
(C2×C4).23(C2×C8) = C42.327D4φ: C2×C8/C4 → C22 ⊆ Aut C2×C4128(C2xC4).23(C2xC8)128,716
(C2×C4).24(C2×C8) = (C2×D4).5C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).24(C2xC8)128,845
(C2×C4).25(C2×C8) = M5(2)⋊12C22φ: C2×C8/C4 → C22 ⊆ Aut C2×C4324(C2xC4).25(C2xC8)128,849
(C2×C4).26(C2×C8) = C4⋊C4.7C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).26(C2xC8)128,883
(C2×C4).27(C2×C8) = M4(2).1C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C4324(C2xC4).27(C2xC8)128,885
(C2×C4).28(C2×C8) = C8.12M4(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).28(C2xC8)128,896
(C2×C4).29(C2×C8) = C16⋊9D4φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).29(C2xC8)128,900
(C2×C4).30(C2×C8) = C16⋊6D4φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).30(C2xC8)128,901
(C2×C4).31(C2×C8) = C16⋊4Q8φ: C2×C8/C4 → C22 ⊆ Aut C2×C4128(C2xC4).31(C2xC8)128,915
(C2×C4).32(C2×C8) = C42.695C23φ: C2×C8/C4 → C22 ⊆ Aut C2×C464(C2xC4).32(C2xC8)128,1714
(C2×C4).33(C2×C8) = Q8○M5(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C4324(C2xC4).33(C2xC8)128,2139
(C2×C4).34(C2×C8) = C42⋊C8φ: C2×C8/C22 → C4 ⊆ Aut C2×C432(C2xC4).34(C2xC8)128,56
(C2×C4).35(C2×C8) = C42⋊3C8φ: C2×C8/C22 → C4 ⊆ Aut C2×C432(C2xC4).35(C2xC8)128,57
(C2×C4).36(C2×C8) = C42.C8φ: C2×C8/C22 → C4 ⊆ Aut C2×C4164(C2xC4).36(C2xC8)128,59
(C2×C4).37(C2×C8) = C42.371D4φ: C2×C8/C22 → C4 ⊆ Aut C2×C432(C2xC4).37(C2xC8)128,190
(C2×C4).38(C2×C8) = C2×C23.C8φ: C2×C8/C22 → C4 ⊆ Aut C2×C432(C2xC4).38(C2xC8)128,846
(C2×C4).39(C2×C8) = C8×C4⋊C4φ: C2×C8/C8 → C2 ⊆ Aut C2×C4128(C2xC4).39(C2xC8)128,501
(C2×C4).40(C2×C8) = C16○2M5(2)φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).40(C2xC8)128,840
(C2×C4).41(C2×C8) = D4×C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).41(C2xC8)128,899
(C2×C4).42(C2×C8) = Q8×C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C4128(C2xC4).42(C2xC8)128,914
(C2×C4).43(C2×C8) = M4(2)⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).43(C2xC8)128,10
(C2×C4).44(C2×C8) = C42.46Q8φ: C2×C8/C8 → C2 ⊆ Aut C2×C4128(C2xC4).44(C2xC8)128,11
(C2×C4).45(C2×C8) = D4⋊C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).45(C2xC8)128,61
(C2×C4).46(C2×C8) = Q8⋊C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C4128(C2xC4).46(C2xC8)128,69
(C2×C4).47(C2×C8) = M5(2)⋊7C4φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).47(C2xC8)128,111
(C2×C4).48(C2×C8) = D4.C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C4642(C2xC4).48(C2xC8)128,133
(C2×C4).49(C2×C8) = C8×M4(2)φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).49(C2xC8)128,181
(C2×C4).50(C2×C8) = C2×D4⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).50(C2xC8)128,206
(C2×C4).51(C2×C8) = C2×Q8⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C4128(C2xC4).51(C2xC8)128,207
(C2×C4).52(C2×C8) = C42.455D4φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).52(C2xC8)128,208
(C2×C4).53(C2×C8) = C42.325D4φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).53(C2xC8)128,686
(C2×C4).54(C2×C8) = C2×D4.C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).54(C2xC8)128,848
(C2×C4).55(C2×C8) = D4○C32φ: C2×C8/C8 → C2 ⊆ Aut C2×C4642(C2xC4).55(C2xC8)128,990
(C2×C4).56(C2×C8) = Q8×C2×C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C4128(C2xC4).56(C2xC8)128,1690
(C2×C4).57(C2×C8) = C2×D4○C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C464(C2xC4).57(C2xC8)128,2138
(C2×C4).58(C2×C8) = C42⋊4C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).58(C2xC8)128,476
(C2×C4).59(C2×C8) = C4×C22⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).59(C2xC8)128,480
(C2×C4).60(C2×C8) = C23.32M4(2)φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).60(C2xC8)128,549
(C2×C4).61(C2×C8) = C42⋊8C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).61(C2xC8)128,563
(C2×C4).62(C2×C8) = C42⋊5C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).62(C2xC8)128,571
(C2×C4).63(C2×C8) = C2×C16⋊5C4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).63(C2xC8)128,838
(C2×C4).64(C2×C8) = C2×C22⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).64(C2xC8)128,843
(C2×C4).65(C2×C8) = C42.6C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).65(C2xC8)128,895
(C2×C4).66(C2×C8) = C42⋊1C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).66(C2xC8)128,6
(C2×C4).67(C2×C8) = C42.20D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).67(C2xC8)128,7
(C2×C4).68(C2×C8) = C42⋊6C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).68(C2xC8)128,8
(C2×C4).69(C2×C8) = C42.385D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).69(C2xC8)128,9
(C2×C4).70(C2×C8) = C42.2Q8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).70(C2xC8)128,13
(C2×C4).71(C2×C8) = C8⋊2C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).71(C2xC8)128,99
(C2×C4).72(C2×C8) = C8.36D8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).72(C2xC8)128,102
(C2×C4).73(C2×C8) = C42.2C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).73(C2xC8)128,107
(C2×C4).74(C2×C8) = C42.7C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).74(C2xC8)128,108
(C2×C4).75(C2×C8) = M5(2)⋊C4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).75(C2xC8)128,109
(C2×C4).76(C2×C8) = C32⋊C4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4324(C2xC4).76(C2xC8)128,130
(C2×C4).77(C2×C8) = C23.C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4324(C2xC4).77(C2xC8)128,132
(C2×C4).78(C2×C8) = C8.C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4322(C2xC4).78(C2xC8)128,154
(C2×C4).79(C2×C8) = C82⋊C2φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).79(C2xC8)128,182
(C2×C4).80(C2×C8) = C2×C8⋊2C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).80(C2xC8)128,294
(C2×C4).81(C2×C8) = C2×C8⋊1C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).81(C2xC8)128,295
(C2×C4).82(C2×C8) = C42.42Q8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).82(C2xC8)128,296
(C2×C4).83(C2×C8) = C4×C4⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).83(C2xC8)128,498
(C2×C4).84(C2×C8) = C42.425D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).84(C2xC8)128,529
(C2×C4).85(C2×C8) = C42⋊9C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).85(C2xC8)128,574
(C2×C4).86(C2×C8) = C24.5C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).86(C2xC8)128,844
(C2×C4).87(C2×C8) = C2×C4⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C4128(C2xC4).87(C2xC8)128,881
(C2×C4).88(C2×C8) = C4⋊M5(2)φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).88(C2xC8)128,882
(C2×C4).89(C2×C8) = C2×C8.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C432(C2xC4).89(C2xC8)128,884
(C2×C4).90(C2×C8) = C22×M5(2)φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C464(C2xC4).90(C2xC8)128,2137
(C2×C4).91(C2×C8) = C2.C82central extension (φ=1)128(C2xC4).91(C2xC8)128,5
(C2×C4).92(C2×C8) = C16⋊5C8central extension (φ=1)128(C2xC4).92(C2xC8)128,43
(C2×C4).93(C2×C8) = C8⋊C16central extension (φ=1)128(C2xC4).93(C2xC8)128,44
(C2×C4).94(C2×C8) = C22.7M5(2)central extension (φ=1)128(C2xC4).94(C2xC8)128,106
(C2×C4).95(C2×C8) = C32⋊5C4central extension (φ=1)128(C2xC4).95(C2xC8)128,129
(C2×C4).96(C2×C8) = C22⋊C32central extension (φ=1)64(C2xC4).96(C2xC8)128,131
(C2×C4).97(C2×C8) = C4⋊C32central extension (φ=1)128(C2xC4).97(C2xC8)128,153
(C2×C4).98(C2×C8) = C2×C8⋊C8central extension (φ=1)128(C2xC4).98(C2xC8)128,180
(C2×C4).99(C2×C8) = C4×M5(2)central extension (φ=1)64(C2xC4).99(C2xC8)128,839
(C2×C4).100(C2×C8) = C42.13C8central extension (φ=1)64(C2xC4).100(C2xC8)128,894
(C2×C4).101(C2×C8) = C2×M6(2)central extension (φ=1)64(C2xC4).101(C2xC8)128,989

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁