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

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

Semidirect products G=N:Q with N=C2×C62 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C62)⋊1C6 = C2×D4×He3φ: C6/C1 → C6 ⊆ Aut C2×C6272(C2xC6^2):1C6432,404
(C2×C62)⋊2C6 = C2×He3⋊6D4φ: C6/C1 → C6 ⊆ Aut C2×C6272(C2xC6^2):2C6432,377
(C2×C62)⋊3C6 = C2×C62⋊C6φ: C6/C1 → C6 ⊆ Aut C2×C62186+(C2xC6^2):3C6432,542
(C2×C62)⋊4C6 = C23×C32⋊C6φ: C6/C1 → C6 ⊆ Aut C2×C6272(C2xC6^2):4C6432,558
(C2×C62)⋊5C6 = S3×C6×A4φ: C6/C1 → C6 ⊆ Aut C2×C62366(C2xC6^2):5C6432,763
(C2×C62)⋊6C6 = C2×A4×C3⋊S3φ: C6/C1 → C6 ⊆ Aut C2×C6254(C2xC6^2):6C6432,764
(C2×C62)⋊7C6 = C22×C32⋊A4φ: C6/C2 → C3 ⊆ Aut C2×C6236(C2xC6^2):7C6432,550
(C2×C62)⋊8C6 = C24×He3φ: C6/C2 → C3 ⊆ Aut C2×C62144(C2xC6^2):8C6432,563
(C2×C62)⋊9C6 = A4×C62φ: C6/C2 → C3 ⊆ Aut C2×C62108(C2xC6^2):9C6432,770
(C2×C62)⋊10C6 = D4×C32×C6φ: C6/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2):10C6432,731
(C2×C62)⋊11C6 = C3×C6×C3⋊D4φ: C6/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2):11C6432,709
(C2×C62)⋊12C6 = C6×C32⋊7D4φ: C6/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2):12C6432,719
(C2×C62)⋊13C6 = S3×C2×C62φ: C6/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2):13C6432,772
(C2×C62)⋊14C6 = C3⋊S3×C22×C6φ: C6/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2):14C6432,773

Non-split extensions G=N.Q with N=C2×C62 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C62).1C6 = C22⋊C4×He3φ: C6/C1 → C6 ⊆ Aut C2×C6272(C2xC6^2).1C6432,204
(C2×C62).2C6 = C22⋊C4×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C6272(C2xC6^2).2C6432,205
(C2×C62).3C6 = C2×D4×3- 1+2φ: C6/C1 → C6 ⊆ Aut C2×C6272(C2xC6^2).3C6432,405
(C2×C62).4C6 = C62⋊3C12φ: C6/C1 → C6 ⊆ Aut C2×C6272(C2xC6^2).4C6432,166
(C2×C62).5C6 = Dic3×C3.A4φ: C6/C1 → C6 ⊆ Aut C2×C62366(C2xC6^2).5C6432,271
(C2×C62).6C6 = C62⋊4C12φ: C6/C1 → C6 ⊆ Aut C2×C62366-(C2xC6^2).6C6432,272
(C2×C62).7C6 = C22×C32⋊C12φ: C6/C1 → C6 ⊆ Aut C2×C62144(C2xC6^2).7C6432,376
(C2×C62).8C6 = C2×S3×C3.A4φ: C6/C1 → C6 ⊆ Aut C2×C62366(C2xC6^2).8C6432,541
(C2×C62).9C6 = C3×Dic3×A4φ: C6/C1 → C6 ⊆ Aut C2×C62366(C2xC6^2).9C6432,624
(C2×C62).10C6 = A4×C3⋊Dic3φ: C6/C1 → C6 ⊆ Aut C2×C62108(C2xC6^2).10C6432,627
(C2×C62).11C6 = C12×C3.A4φ: C6/C2 → C3 ⊆ Aut C2×C62108(C2xC6^2).11C6432,331
(C2×C62).12C6 = C4×C32.A4φ: C6/C2 → C3 ⊆ Aut C2×C62363(C2xC6^2).12C6432,332
(C2×C62).13C6 = C4×C32⋊A4φ: C6/C2 → C3 ⊆ Aut C2×C62363(C2xC6^2).13C6432,333
(C2×C62).14C6 = C22×C4×He3φ: C6/C2 → C3 ⊆ Aut C2×C62144(C2xC6^2).14C6432,401
(C2×C62).15C6 = C22×C4×3- 1+2φ: C6/C2 → C3 ⊆ Aut C2×C62144(C2xC6^2).15C6432,402
(C2×C62).16C6 = C2×C6×C3.A4φ: C6/C2 → C3 ⊆ Aut C2×C62108(C2xC6^2).16C6432,548
(C2×C62).17C6 = C22×C32.A4φ: C6/C2 → C3 ⊆ Aut C2×C6236(C2xC6^2).17C6432,549
(C2×C62).18C6 = C24×3- 1+2φ: C6/C2 → C3 ⊆ Aut C2×C62144(C2xC6^2).18C6432,564
(C2×C62).19C6 = A4×C3×C12φ: C6/C2 → C3 ⊆ Aut C2×C62108(C2xC6^2).19C6432,697
(C2×C62).20C6 = C22⋊C4×C3×C9φ: C6/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2).20C6432,203
(C2×C62).21C6 = D4×C3×C18φ: C6/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2).21C6432,403
(C2×C62).22C6 = C22⋊C4×C33φ: C6/C3 → C2 ⊆ Aut C2×C62216(C2xC6^2).22C6432,513
(C2×C62).23C6 = C9×C6.D4φ: C6/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).23C6432,165
(C2×C62).24C6 = Dic3×C2×C18φ: C6/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2).24C6432,373
(C2×C62).25C6 = C18×C3⋊D4φ: C6/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).25C6432,375
(C2×C62).26C6 = C32×C6.D4φ: C6/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).26C6432,479
(C2×C62).27C6 = C3×C62⋊5C4φ: C6/C3 → C2 ⊆ Aut C2×C6272(C2xC6^2).27C6432,495
(C2×C62).28C6 = S3×C22×C18φ: C6/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2).28C6432,557
(C2×C62).29C6 = Dic3×C62φ: C6/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2).29C6432,708
(C2×C62).30C6 = C2×C6×C3⋊Dic3φ: C6/C3 → C2 ⊆ Aut C2×C62144(C2xC6^2).30C6432,718

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