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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C62

Direct product G=N×Q with N=C2×C6 and Q=C62
dρLabelID
C2×C63432C2xC6^3432,775

Semidirect products G=N:Q with N=C2×C6 and Q=C62
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊C62 = S3×C6×A4φ: C62/C6 → C6 ⊆ Aut C2×C6366(C2xC6):C6^2432,763
(C2×C6)⋊2C62 = S3×D4×C32φ: C62/C32 → C22 ⊆ Aut C2×C672(C2xC6):2C6^2432,704
(C2×C6)⋊3C62 = A4×C62φ: C62/C2×C6 → C3 ⊆ Aut C2×C6108(C2xC6):3C6^2432,770
(C2×C6)⋊4C62 = D4×C32×C6φ: C62/C3×C6 → C2 ⊆ Aut C2×C6216(C2xC6):4C6^2432,731
(C2×C6)⋊5C62 = C3×C6×C3⋊D4φ: C62/C3×C6 → C2 ⊆ Aut C2×C672(C2xC6):5C6^2432,709
(C2×C6)⋊6C62 = S3×C2×C62φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6):6C6^2432,772

Non-split extensions G=N.Q with N=C2×C6 and Q=C62
extensionφ:Q→Aut NdρLabelID
(C2×C6).C62 = C32×D4⋊2S3φ: C62/C32 → C22 ⊆ Aut C2×C672(C2xC6).C6^2432,705
(C2×C6).2C62 = A4×C2×C18φ: C62/C2×C6 → C3 ⊆ Aut C2×C6108(C2xC6).2C6^2432,546
(C2×C6).3C62 = C22×C9⋊A4φ: C62/C2×C6 → C3 ⊆ Aut C2×C6108(C2xC6).3C6^2432,547
(C2×C6).4C62 = C2×C6×C3.A4φ: C62/C2×C6 → C3 ⊆ Aut C2×C6108(C2xC6).4C6^2432,548
(C2×C6).5C62 = C22×C32.A4φ: C62/C2×C6 → C3 ⊆ Aut C2×C636(C2xC6).5C6^2432,549
(C2×C6).6C62 = C22×C32⋊A4φ: C62/C2×C6 → C3 ⊆ Aut C2×C636(C2xC6).6C6^2432,550
(C2×C6).7C62 = D4×C3×C18φ: C62/C3×C6 → C2 ⊆ Aut C2×C6216(C2xC6).7C6^2432,403
(C2×C6).8C62 = C2×D4×He3φ: C62/C3×C6 → C2 ⊆ Aut C2×C672(C2xC6).8C6^2432,404
(C2×C6).9C62 = C2×D4×3- 1+2φ: C62/C3×C6 → C2 ⊆ Aut C2×C672(C2xC6).9C6^2432,405
(C2×C6).10C62 = C4○D4×C3×C9φ: C62/C3×C6 → C2 ⊆ Aut C2×C6216(C2xC6).10C6^2432,409
(C2×C6).11C62 = C4○D4×He3φ: C62/C3×C6 → C2 ⊆ Aut C2×C6726(C2xC6).11C6^2432,410
(C2×C6).12C62 = C4○D4×3- 1+2φ: C62/C3×C6 → C2 ⊆ Aut C2×C6726(C2xC6).12C6^2432,411
(C2×C6).13C62 = C4○D4×C33φ: C62/C3×C6 → C2 ⊆ Aut C2×C6216(C2xC6).13C6^2432,733
(C2×C6).14C62 = Dic3×C3×C12φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).14C6^2432,471
(C2×C6).15C62 = C32×Dic3⋊C4φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).15C6^2432,472
(C2×C6).16C62 = C32×C4⋊Dic3φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).16C6^2432,473
(C2×C6).17C62 = C32×D6⋊C4φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).17C6^2432,474
(C2×C6).18C62 = C32×C6.D4φ: C62/C3×C6 → C2 ⊆ Aut C2×C672(C2xC6).18C6^2432,479
(C2×C6).19C62 = C3×C6×Dic6φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).19C6^2432,700
(C2×C6).20C62 = S3×C6×C12φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).20C6^2432,701
(C2×C6).21C62 = C3×C6×D12φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).21C6^2432,702
(C2×C6).22C62 = C32×C4○D12φ: C62/C3×C6 → C2 ⊆ Aut C2×C672(C2xC6).22C6^2432,703
(C2×C6).23C62 = Dic3×C62φ: C62/C3×C6 → C2 ⊆ Aut C2×C6144(C2xC6).23C6^2432,708
(C2×C6).24C62 = C42×He3central extension (φ=1)144(C2xC6).24C6^2432,201
(C2×C6).25C62 = C42×3- 1+2central extension (φ=1)144(C2xC6).25C6^2432,202
(C2×C6).26C62 = C22⋊C4×C3×C9central extension (φ=1)216(C2xC6).26C6^2432,203
(C2×C6).27C62 = C22⋊C4×He3central extension (φ=1)72(C2xC6).27C6^2432,204
(C2×C6).28C62 = C22⋊C4×3- 1+2central extension (φ=1)72(C2xC6).28C6^2432,205
(C2×C6).29C62 = C4⋊C4×C3×C9central extension (φ=1)432(C2xC6).29C6^2432,206
(C2×C6).30C62 = C4⋊C4×He3central extension (φ=1)144(C2xC6).30C6^2432,207
(C2×C6).31C62 = C4⋊C4×3- 1+2central extension (φ=1)144(C2xC6).31C6^2432,208
(C2×C6).32C62 = C22×C4×He3central extension (φ=1)144(C2xC6).32C6^2432,401
(C2×C6).33C62 = C22×C4×3- 1+2central extension (φ=1)144(C2xC6).33C6^2432,402
(C2×C6).34C62 = Q8×C3×C18central extension (φ=1)432(C2xC6).34C6^2432,406
(C2×C6).35C62 = C2×Q8×He3central extension (φ=1)144(C2xC6).35C6^2432,407
(C2×C6).36C62 = C2×Q8×3- 1+2central extension (φ=1)144(C2xC6).36C6^2432,408
(C2×C6).37C62 = C22⋊C4×C33central extension (φ=1)216(C2xC6).37C6^2432,513
(C2×C6).38C62 = C4⋊C4×C33central extension (φ=1)432(C2xC6).38C6^2432,514
(C2×C6).39C62 = C24×He3central extension (φ=1)144(C2xC6).39C6^2432,563
(C2×C6).40C62 = C24×3- 1+2central extension (φ=1)144(C2xC6).40C6^2432,564
(C2×C6).41C62 = Q8×C32×C6central extension (φ=1)432(C2xC6).41C6^2432,732

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