Extensions 1→N→G→Q→1 with N=D8 and Q=C12

Direct product G=N×Q with N=D8 and Q=C12
dρLabelID
C12×D896C12xD8192,870

Semidirect products G=N:Q with N=D8 and Q=C12
extensionφ:Q→Out NdρLabelID
D81C12 = C3×C2.D16φ: C12/C6C2 ⊆ Out D896D8:1C12192,163
D82C12 = C3×D82C4φ: C12/C6C2 ⊆ Out D8484D8:2C12192,166
D83C12 = C3×D8⋊C4φ: C12/C6C2 ⊆ Out D896D8:3C12192,875
D84C12 = C3×C8.26D4φ: C12/C6C2 ⊆ Out D8484D8:4C12192,877
D85C12 = C3×C8○D8φ: trivial image482D8:5C12192,876

Non-split extensions G=N.Q with N=D8 and Q=C12
extensionφ:Q→Out NdρLabelID
D8.1C12 = C3×D8.C4φ: C12/C6C2 ⊆ Out D8962D8.1C12192,165
D8.2C12 = C3×M5(2)⋊C2φ: C12/C6C2 ⊆ Out D8484D8.2C12192,167

׿
×
𝔽