# Extensions 1→N→G→Q→1 with N=C2×C26 and Q=C2×C4

Direct product G=N×Q with N=C2×C26 and Q=C2×C4
dρLabelID
C23×C52416C2^3xC52416,227

Semidirect products G=N:Q with N=C2×C26 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C26)⋊(C2×C4) = D4×C13⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C26528+(C2xC26):(C2xC4)416,206
(C2×C26)⋊2(C2×C4) = C2×D13.D4φ: C2×C4/C2C4 ⊆ Aut C2×C26104(C2xC26):2(C2xC4)416,211
(C2×C26)⋊3(C2×C4) = C23×C13⋊C4φ: C2×C4/C2C4 ⊆ Aut C2×C26104(C2xC26):3(C2xC4)416,233
(C2×C26)⋊4(C2×C4) = C22⋊C4×D13φ: C2×C4/C2C22 ⊆ Aut C2×C26104(C2xC26):4(C2xC4)416,101
(C2×C26)⋊5(C2×C4) = Dic134D4φ: C2×C4/C2C22 ⊆ Aut C2×C26208(C2xC26):5(C2xC4)416,102
(C2×C26)⋊6(C2×C4) = D4×Dic13φ: C2×C4/C2C22 ⊆ Aut C2×C26208(C2xC26):6(C2xC4)416,155
(C2×C26)⋊7(C2×C4) = D4×C52φ: C2×C4/C4C2 ⊆ Aut C2×C26208(C2xC26):7(C2xC4)416,179
(C2×C26)⋊8(C2×C4) = C4×C13⋊D4φ: C2×C4/C4C2 ⊆ Aut C2×C26208(C2xC26):8(C2xC4)416,149
(C2×C26)⋊9(C2×C4) = C22×C4×D13φ: C2×C4/C4C2 ⊆ Aut C2×C26208(C2xC26):9(C2xC4)416,213
(C2×C26)⋊10(C2×C4) = C22⋊C4×C26φ: C2×C4/C22C2 ⊆ Aut C2×C26208(C2xC26):10(C2xC4)416,176
(C2×C26)⋊11(C2×C4) = C2×C23.D13φ: C2×C4/C22C2 ⊆ Aut C2×C26208(C2xC26):11(C2xC4)416,173
(C2×C26)⋊12(C2×C4) = C23×Dic13φ: C2×C4/C22C2 ⊆ Aut C2×C26416(C2xC26):12(C2xC4)416,225

Non-split extensions G=N.Q with N=C2×C26 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C26).(C2×C4) = Dic26.C4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C262088-(C2xC26).(C2xC4)416,205
(C2×C26).2(C2×C4) = D26.D4φ: C2×C4/C2C4 ⊆ Aut C2×C261044+(C2xC26).2(C2xC4)416,74
(C2×C26).3(C2×C4) = C4×C13⋊C8φ: C2×C4/C2C4 ⊆ Aut C2×C26416(C2xC26).3(C2xC4)416,75
(C2×C26).4(C2×C4) = C52⋊C8φ: C2×C4/C2C4 ⊆ Aut C2×C26416(C2xC26).4(C2xC4)416,76
(C2×C26).5(C2×C4) = C26.C42φ: C2×C4/C2C4 ⊆ Aut C2×C26416(C2xC26).5(C2xC4)416,77
(C2×C26).6(C2×C4) = D26⋊C8φ: C2×C4/C2C4 ⊆ Aut C2×C26208(C2xC26).6(C2xC4)416,78
(C2×C26).7(C2×C4) = Dic13⋊C8φ: C2×C4/C2C4 ⊆ Aut C2×C26416(C2xC26).7(C2xC4)416,79
(C2×C26).8(C2×C4) = Dic13.D4φ: C2×C4/C2C4 ⊆ Aut C2×C262084-(C2xC26).8(C2xC4)416,80
(C2×C26).9(C2×C4) = D26.Q8φ: C2×C4/C2C4 ⊆ Aut C2×C26104(C2xC26).9(C2xC4)416,81
(C2×C26).10(C2×C4) = D26.4D4φ: C2×C4/C2C4 ⊆ Aut C2×C261044(C2xC26).10(C2xC4)416,86
(C2×C26).11(C2×C4) = C26.M4(2)φ: C2×C4/C2C4 ⊆ Aut C2×C26208(C2xC26).11(C2xC4)416,87
(C2×C26).12(C2×C4) = Dic13.4D4φ: C2×C4/C2C4 ⊆ Aut C2×C261044(C2xC26).12(C2xC4)416,88
(C2×C26).13(C2×C4) = C2×D13⋊C8φ: C2×C4/C2C4 ⊆ Aut C2×C26208(C2xC26).13(C2xC4)416,199
(C2×C26).14(C2×C4) = C2×C52.C4φ: C2×C4/C2C4 ⊆ Aut C2×C26208(C2xC26).14(C2xC4)416,200
(C2×C26).15(C2×C4) = D13⋊M4(2)φ: C2×C4/C2C4 ⊆ Aut C2×C261044(C2xC26).15(C2xC4)416,201
(C2×C26).16(C2×C4) = C2×C4×C13⋊C4φ: C2×C4/C2C4 ⊆ Aut C2×C26104(C2xC26).16(C2xC4)416,202
(C2×C26).17(C2×C4) = C2×C52⋊C4φ: C2×C4/C2C4 ⊆ Aut C2×C26104(C2xC26).17(C2xC4)416,203
(C2×C26).18(C2×C4) = D26.C23φ: C2×C4/C2C4 ⊆ Aut C2×C261044(C2xC26).18(C2xC4)416,204
(C2×C26).19(C2×C4) = C22×C13⋊C8φ: C2×C4/C2C4 ⊆ Aut C2×C26416(C2xC26).19(C2xC4)416,209
(C2×C26).20(C2×C4) = C2×C13⋊M4(2)φ: C2×C4/C2C4 ⊆ Aut C2×C26208(C2xC26).20(C2xC4)416,210
(C2×C26).21(C2×C4) = C22.2D52φ: C2×C4/C2C22 ⊆ Aut C2×C261044(C2xC26).21(C2xC4)416,13
(C2×C26).22(C2×C4) = C52.46D4φ: C2×C4/C2C22 ⊆ Aut C2×C261044+(C2xC26).22(C2xC4)416,30
(C2×C26).23(C2×C4) = C4.12D52φ: C2×C4/C2C22 ⊆ Aut C2×C262084-(C2xC26).23(C2xC4)416,31
(C2×C26).24(C2×C4) = C23.11D26φ: C2×C4/C2C22 ⊆ Aut C2×C26208(C2xC26).24(C2xC4)416,98
(C2×C26).25(C2×C4) = M4(2)×D13φ: C2×C4/C2C22 ⊆ Aut C2×C261044(C2xC26).25(C2xC4)416,127
(C2×C26).26(C2×C4) = D52.2C4φ: C2×C4/C2C22 ⊆ Aut C2×C262084(C2xC26).26(C2xC4)416,128
(C2×C26).27(C2×C4) = D4.Dic13φ: C2×C4/C2C22 ⊆ Aut C2×C262084(C2xC26).27(C2xC4)416,169
(C2×C26).28(C2×C4) = C13×C8○D4φ: C2×C4/C4C2 ⊆ Aut C2×C262082(C2xC26).28(C2xC4)416,192
(C2×C26).29(C2×C4) = C8×Dic13φ: C2×C4/C4C2 ⊆ Aut C2×C26416(C2xC26).29(C2xC4)416,20
(C2×C26).30(C2×C4) = C52.8Q8φ: C2×C4/C4C2 ⊆ Aut C2×C26416(C2xC26).30(C2xC4)416,21
(C2×C26).31(C2×C4) = C1048C4φ: C2×C4/C4C2 ⊆ Aut C2×C26416(C2xC26).31(C2xC4)416,22
(C2×C26).32(C2×C4) = D261C8φ: C2×C4/C4C2 ⊆ Aut C2×C26208(C2xC26).32(C2xC4)416,27
(C2×C26).33(C2×C4) = C26.10C42φ: C2×C4/C4C2 ⊆ Aut C2×C26416(C2xC26).33(C2xC4)416,38
(C2×C26).34(C2×C4) = C2×C8×D13φ: C2×C4/C4C2 ⊆ Aut C2×C26208(C2xC26).34(C2xC4)416,120
(C2×C26).35(C2×C4) = C2×C8⋊D13φ: C2×C4/C4C2 ⊆ Aut C2×C26208(C2xC26).35(C2xC4)416,121
(C2×C26).36(C2×C4) = D52.3C4φ: C2×C4/C4C2 ⊆ Aut C2×C262082(C2xC26).36(C2xC4)416,122
(C2×C26).37(C2×C4) = C2×C26.D4φ: C2×C4/C4C2 ⊆ Aut C2×C26416(C2xC26).37(C2xC4)416,144
(C2×C26).38(C2×C4) = C2×D26⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C26208(C2xC26).38(C2xC4)416,148
(C2×C26).39(C2×C4) = C13×C23⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C261044(C2xC26).39(C2xC4)416,49
(C2×C26).40(C2×C4) = C13×C4.D4φ: C2×C4/C22C2 ⊆ Aut C2×C261044(C2xC26).40(C2xC4)416,50
(C2×C26).41(C2×C4) = C13×C4.10D4φ: C2×C4/C22C2 ⊆ Aut C2×C262084(C2xC26).41(C2xC4)416,51
(C2×C26).42(C2×C4) = C13×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C2×C26208(C2xC26).42(C2xC4)416,178
(C2×C26).43(C2×C4) = M4(2)×C26φ: C2×C4/C22C2 ⊆ Aut C2×C26208(C2xC26).43(C2xC4)416,191
(C2×C26).44(C2×C4) = C4×C132C8φ: C2×C4/C22C2 ⊆ Aut C2×C26416(C2xC26).44(C2xC4)416,9
(C2×C26).45(C2×C4) = C26.7C42φ: C2×C4/C22C2 ⊆ Aut C2×C26416(C2xC26).45(C2xC4)416,10
(C2×C26).46(C2×C4) = C523C8φ: C2×C4/C22C2 ⊆ Aut C2×C26416(C2xC26).46(C2xC4)416,11
(C2×C26).47(C2×C4) = C52.55D4φ: C2×C4/C22C2 ⊆ Aut C2×C26208(C2xC26).47(C2xC4)416,37
(C2×C26).48(C2×C4) = C52.D4φ: C2×C4/C22C2 ⊆ Aut C2×C261044(C2xC26).48(C2xC4)416,40
(C2×C26).49(C2×C4) = C23⋊Dic13φ: C2×C4/C22C2 ⊆ Aut C2×C261044(C2xC26).49(C2xC4)416,41
(C2×C26).50(C2×C4) = C52.10D4φ: C2×C4/C22C2 ⊆ Aut C2×C262084(C2xC26).50(C2xC4)416,43
(C2×C26).51(C2×C4) = C22×C132C8φ: C2×C4/C22C2 ⊆ Aut C2×C26416(C2xC26).51(C2xC4)416,141
(C2×C26).52(C2×C4) = C2×C52.4C4φ: C2×C4/C22C2 ⊆ Aut C2×C26208(C2xC26).52(C2xC4)416,142
(C2×C26).53(C2×C4) = C2×C4×Dic13φ: C2×C4/C22C2 ⊆ Aut C2×C26416(C2xC26).53(C2xC4)416,143
(C2×C26).54(C2×C4) = C2×C523C4φ: C2×C4/C22C2 ⊆ Aut C2×C26416(C2xC26).54(C2xC4)416,146
(C2×C26).55(C2×C4) = C23.21D26φ: C2×C4/C22C2 ⊆ Aut C2×C26208(C2xC26).55(C2xC4)416,147
(C2×C26).56(C2×C4) = C13×C2.C42central extension (φ=1)416(C2xC26).56(C2xC4)416,45
(C2×C26).57(C2×C4) = C13×C8⋊C4central extension (φ=1)416(C2xC26).57(C2xC4)416,47
(C2×C26).58(C2×C4) = C13×C22⋊C8central extension (φ=1)208(C2xC26).58(C2xC4)416,48
(C2×C26).59(C2×C4) = C13×C4⋊C8central extension (φ=1)416(C2xC26).59(C2xC4)416,55
(C2×C26).60(C2×C4) = C4⋊C4×C26central extension (φ=1)416(C2xC26).60(C2xC4)416,177

׿
×
𝔽