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Extensions 1→N→G→Q→1 with N=C2×C36 and Q=C6

Direct product G=N×Q with N=C2×C36 and Q=C6
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C2×C36 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C36)⋊1C6 = D36⋊6C6φ: C6/C1 → C6 ⊆ Aut C2×C36726(C2xC36):1C6432,355
(C2×C36)⋊2C6 = C2×D36⋊C3φ: C6/C1 → C6 ⊆ Aut C2×C3672(C2xC36):2C6432,354
(C2×C36)⋊3C6 = C2×C4×C9⋊C6φ: C6/C1 → C6 ⊆ Aut C2×C3672(C2xC36):3C6432,353
(C2×C36)⋊4C6 = C2×D4×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C3672(C2xC36):4C6432,405
(C2×C36)⋊5C6 = C4○D4×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C36726(C2xC36):5C6432,411
(C2×C36)⋊6C6 = D18⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C3672(C2xC36):6C6432,147
(C2×C36)⋊7C6 = C22⋊C4×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C3672(C2xC36):7C6432,205
(C2×C36)⋊8C6 = C22×C4×3- 1+2φ: C6/C2 → C3 ⊆ Aut C2×C36144(C2xC36):8C6432,402
(C2×C36)⋊9C6 = C3×D18⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36):9C6432,134
(C2×C36)⋊10C6 = C22⋊C4×C3×C9φ: C6/C3 → C2 ⊆ Aut C2×C36216(C2xC36):10C6432,203
(C2×C36)⋊11C6 = C6×D36φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36):11C6432,343
(C2×C36)⋊12C6 = C3×D36⋊5C2φ: C6/C3 → C2 ⊆ Aut C2×C36722(C2xC36):12C6432,344
(C2×C36)⋊13C6 = D9×C2×C12φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36):13C6432,342
(C2×C36)⋊14C6 = D4×C3×C18φ: C6/C3 → C2 ⊆ Aut C2×C36216(C2xC36):14C6432,403
(C2×C36)⋊15C6 = C4○D4×C3×C9φ: C6/C3 → C2 ⊆ Aut C2×C36216(C2xC36):15C6432,409

Non-split extensions G=N.Q with N=C2×C36 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C36).1C6 = C36.C12φ: C6/C1 → C6 ⊆ Aut C2×C36726(C2xC36).1C6432,143
(C2×C36).2C6 = C36⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C36144(C2xC36).2C6432,146
(C2×C36).3C6 = C2×C36.C6φ: C6/C1 → C6 ⊆ Aut C2×C36144(C2xC36).3C6432,352
(C2×C36).4C6 = C2×C9⋊C24φ: C6/C1 → C6 ⊆ Aut C2×C36144(C2xC36).4C6432,142
(C2×C36).5C6 = C4×C9⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C36144(C2xC36).5C6432,144
(C2×C36).6C6 = M4(2)×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C36726(C2xC36).6C6432,214
(C2×C36).7C6 = C2×Q8×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C36144(C2xC36).7C6432,408
(C2×C36).8C6 = Dic9⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C36144(C2xC36).8C6432,145
(C2×C36).9C6 = C4⋊C4×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C36144(C2xC36).9C6432,208
(C2×C36).10C6 = C42×3- 1+2φ: C6/C2 → C3 ⊆ Aut C2×C36144(C2xC36).10C6432,202
(C2×C36).11C6 = C2×C8×3- 1+2φ: C6/C2 → C3 ⊆ Aut C2×C36144(C2xC36).11C6432,211
(C2×C36).12C6 = C22⋊C4×C27φ: C6/C3 → C2 ⊆ Aut C2×C36216(C2xC36).12C6432,21
(C2×C36).13C6 = C4⋊C4×C27φ: C6/C3 → C2 ⊆ Aut C2×C36432(C2xC36).13C6432,22
(C2×C36).14C6 = C3×Dic9⋊C4φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36).14C6432,129
(C2×C36).15C6 = C4⋊C4×C3×C9φ: C6/C3 → C2 ⊆ Aut C2×C36432(C2xC36).15C6432,206
(C2×C36).16C6 = C3×C4⋊Dic9φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36).16C6432,130
(C2×C36).17C6 = C6×Dic18φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36).17C6432,340
(C2×C36).18C6 = C3×C4.Dic9φ: C6/C3 → C2 ⊆ Aut C2×C36722(C2xC36).18C6432,125
(C2×C36).19C6 = C6×C9⋊C8φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36).19C6432,124
(C2×C36).20C6 = C12×Dic9φ: C6/C3 → C2 ⊆ Aut C2×C36144(C2xC36).20C6432,128
(C2×C36).21C6 = M4(2)×C27φ: C6/C3 → C2 ⊆ Aut C2×C362162(C2xC36).21C6432,24
(C2×C36).22C6 = D4×C54φ: C6/C3 → C2 ⊆ Aut C2×C36216(C2xC36).22C6432,54
(C2×C36).23C6 = Q8×C54φ: C6/C3 → C2 ⊆ Aut C2×C36432(C2xC36).23C6432,55
(C2×C36).24C6 = C4○D4×C27φ: C6/C3 → C2 ⊆ Aut C2×C362162(C2xC36).24C6432,56
(C2×C36).25C6 = M4(2)×C3×C9φ: C6/C3 → C2 ⊆ Aut C2×C36216(C2xC36).25C6432,212
(C2×C36).26C6 = Q8×C3×C18φ: C6/C3 → C2 ⊆ Aut C2×C36432(C2xC36).26C6432,406

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