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

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

Semidirect products G=N:Q with N=C6×C36 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C36)⋊1C2 = C3×D18⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36):1C2432,134
(C6×C36)⋊2C2 = C9×D6⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36):2C2432,135
(C6×C36)⋊3C2 = C6.11D36φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36):3C2432,183
(C6×C36)⋊4C2 = C22⋊C4×C3×C9φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36):4C2432,203
(C6×C36)⋊5C2 = S3×C2×C36φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36):5C2432,345
(C6×C36)⋊6C2 = C6×D36φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36):6C2432,343
(C6×C36)⋊7C2 = C2×C36⋊S3φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36):7C2432,382
(C6×C36)⋊8C2 = C3×D36⋊5C2φ: C2/C1 → C2 ⊆ Aut C6×C36722(C6xC36):8C2432,344
(C6×C36)⋊9C2 = C36.70D6φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36):9C2432,383
(C6×C36)⋊10C2 = D9×C2×C12φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36):10C2432,342
(C6×C36)⋊11C2 = C2×C4×C9⋊S3φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36):11C2432,381
(C6×C36)⋊12C2 = C18×D12φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36):12C2432,346
(C6×C36)⋊13C2 = C9×C4○D12φ: C2/C1 → C2 ⊆ Aut C6×C36722(C6xC36):13C2432,347
(C6×C36)⋊14C2 = D4×C3×C18φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36):14C2432,403
(C6×C36)⋊15C2 = C4○D4×C3×C9φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36):15C2432,409

Non-split extensions G=N.Q with N=C6×C36 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C36).1C2 = C18×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).1C2432,126
(C6×C36).2C2 = C3×Dic9⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).2C2432,129
(C6×C36).3C2 = Dic3×C36φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).3C2432,131
(C6×C36).4C2 = C9×Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).4C2432,132
(C6×C36).5C2 = C6.Dic18φ: C2/C1 → C2 ⊆ Aut C6×C36432(C6xC36).5C2432,181
(C6×C36).6C2 = C4⋊C4×C3×C9φ: C2/C1 → C2 ⊆ Aut C6×C36432(C6xC36).6C2432,206
(C6×C36).7C2 = C3×C4⋊Dic9φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).7C2432,130
(C6×C36).8C2 = C36⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C36432(C6xC36).8C2432,182
(C6×C36).9C2 = C6×Dic18φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).9C2432,340
(C6×C36).10C2 = C2×C12.D9φ: C2/C1 → C2 ⊆ Aut C6×C36432(C6xC36).10C2432,380
(C6×C36).11C2 = C3×C4.Dic9φ: C2/C1 → C2 ⊆ Aut C6×C36722(C6xC36).11C2432,125
(C6×C36).12C2 = C36.69D6φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36).12C2432,179
(C6×C36).13C2 = C6×C9⋊C8φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).13C2432,124
(C6×C36).14C2 = C12×Dic9φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).14C2432,128
(C6×C36).15C2 = C2×C36.S3φ: C2/C1 → C2 ⊆ Aut C6×C36432(C6xC36).15C2432,178
(C6×C36).16C2 = C4×C9⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C36432(C6xC36).16C2432,180
(C6×C36).17C2 = C9×C4.Dic3φ: C2/C1 → C2 ⊆ Aut C6×C36722(C6xC36).17C2432,127
(C6×C36).18C2 = C9×C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).18C2432,133
(C6×C36).19C2 = M4(2)×C3×C9φ: C2/C1 → C2 ⊆ Aut C6×C36216(C6xC36).19C2432,212
(C6×C36).20C2 = C18×Dic6φ: C2/C1 → C2 ⊆ Aut C6×C36144(C6xC36).20C2432,341
(C6×C36).21C2 = Q8×C3×C18φ: C2/C1 → C2 ⊆ Aut C6×C36432(C6xC36).21C2432,406

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