# Extensions 1→N→G→Q→1 with N=C62 and Q=C12

Direct product G=N×Q with N=C62 and Q=C12
dρLabelID
C62×C12432C6^2xC12432,730

Semidirect products G=N:Q with N=C62 and Q=C12
extensionφ:Q→Aut NdρLabelID
C62⋊C12 = A4×C32⋊C4φ: C12/C1C12 ⊆ Aut C622412+C6^2:C12432,744
C622C12 = C22⋊C4×He3φ: C12/C2C6 ⊆ Aut C6272C6^2:2C12432,204
C623C12 = C623C12φ: C12/C2C6 ⊆ Aut C6272C6^2:3C12432,166
C624C12 = C624C12φ: C12/C2C6 ⊆ Aut C62366-C6^2:4C12432,272
C625C12 = C22×C32⋊C12φ: C12/C2C6 ⊆ Aut C62144C6^2:5C12432,376
C626C12 = C3×Dic3×A4φ: C12/C2C6 ⊆ Aut C62366C6^2:6C12432,624
C627C12 = A4×C3⋊Dic3φ: C12/C2C6 ⊆ Aut C62108C6^2:7C12432,627
C628C12 = C3×C62⋊C4φ: C12/C3C4 ⊆ Aut C62244C6^2:8C12432,634
C629C12 = C2×C6×C32⋊C4φ: C12/C3C4 ⊆ Aut C6248C6^2:9C12432,765
C6210C12 = C4×C32⋊A4φ: C12/C4C3 ⊆ Aut C62363C6^2:10C12432,333
C6211C12 = C22×C4×He3φ: C12/C4C3 ⊆ Aut C62144C6^2:11C12432,401
C6212C12 = A4×C3×C12φ: C12/C4C3 ⊆ Aut C62108C6^2:12C12432,697
C6213C12 = C22⋊C4×C33φ: C12/C6C2 ⊆ Aut C62216C6^2:13C12432,513
C6214C12 = C32×C6.D4φ: C12/C6C2 ⊆ Aut C6272C6^2:14C12432,479
C6215C12 = C3×C625C4φ: C12/C6C2 ⊆ Aut C6272C6^2:15C12432,495
C6216C12 = Dic3×C62φ: C12/C6C2 ⊆ Aut C62144C6^2:16C12432,708
C6217C12 = C2×C6×C3⋊Dic3φ: C12/C6C2 ⊆ Aut C62144C6^2:17C12432,718

Non-split extensions G=N.Q with N=C62 and Q=C12
extensionφ:Q→Aut NdρLabelID
C62.1C12 = C22⋊C4×3- 1+2φ: C12/C2C6 ⊆ Aut C6272C6^2.1C12432,205
C62.2C12 = M4(2)×He3φ: C12/C2C6 ⊆ Aut C62726C6^2.2C12432,213
C62.3C12 = M4(2)×3- 1+2φ: C12/C2C6 ⊆ Aut C62726C6^2.3C12432,214
C62.4C12 = C2×He33C8φ: C12/C2C6 ⊆ Aut C62144C6^2.4C12432,136
C62.5C12 = He37M4(2)φ: C12/C2C6 ⊆ Aut C62726C6^2.5C12432,137
C62.6C12 = Dic3×C3.A4φ: C12/C2C6 ⊆ Aut C62366C6^2.6C12432,271
C62.7C12 = C6×C322C8φ: C12/C3C4 ⊆ Aut C6248C6^2.7C12432,632
C62.8C12 = C3×C62.C4φ: C12/C3C4 ⊆ Aut C62244C6^2.8C12432,633
C62.9C12 = C2×C8×He3φ: C12/C4C3 ⊆ Aut C62144C6^2.9C12432,210
C62.10C12 = C2×C8×3- 1+2φ: C12/C4C3 ⊆ Aut C62144C6^2.10C12432,211
C62.11C12 = C12×C3.A4φ: C12/C4C3 ⊆ Aut C62108C6^2.11C12432,331
C62.12C12 = C4×C32.A4φ: C12/C4C3 ⊆ Aut C62363C6^2.12C12432,332
C62.13C12 = C22×C4×3- 1+2φ: C12/C4C3 ⊆ Aut C62144C6^2.13C12432,402
C62.14C12 = C22⋊C4×C3×C9φ: C12/C6C2 ⊆ Aut C62216C6^2.14C12432,203
C62.15C12 = M4(2)×C3×C9φ: C12/C6C2 ⊆ Aut C62216C6^2.15C12432,212
C62.16C12 = M4(2)×C33φ: C12/C6C2 ⊆ Aut C62216C6^2.16C12432,516
C62.17C12 = C18×C3⋊C8φ: C12/C6C2 ⊆ Aut C62144C6^2.17C12432,126
C62.18C12 = C9×C4.Dic3φ: C12/C6C2 ⊆ Aut C62722C6^2.18C12432,127
C62.19C12 = C9×C6.D4φ: C12/C6C2 ⊆ Aut C6272C6^2.19C12432,165
C62.20C12 = Dic3×C2×C18φ: C12/C6C2 ⊆ Aut C62144C6^2.20C12432,373
C62.21C12 = C3×C6×C3⋊C8φ: C12/C6C2 ⊆ Aut C62144C6^2.21C12432,469
C62.22C12 = C32×C4.Dic3φ: C12/C6C2 ⊆ Aut C6272C6^2.22C12432,470
C62.23C12 = C6×C324C8φ: C12/C6C2 ⊆ Aut C62144C6^2.23C12432,485
C62.24C12 = C3×C12.58D6φ: C12/C6C2 ⊆ Aut C6272C6^2.24C12432,486

׿
×
𝔽