Extensions 1→N→G→Q→1 with N=C12 and Q=C22

Direct product G=N×Q with N=C12 and Q=C22
dρLabelID
C2×C132264C2xC132264,28

Semidirect products G=N:Q with N=C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
C121C22 = C11×D12φ: C22/C11C2 ⊆ Aut C121322C12:1C22264,20
C122C22 = S3×C44φ: C22/C11C2 ⊆ Aut C121322C12:2C22264,19
C123C22 = D4×C33φ: C22/C11C2 ⊆ Aut C121322C12:3C22264,29

Non-split extensions G=N.Q with N=C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
C12.1C22 = C11×Dic6φ: C22/C11C2 ⊆ Aut C122642C12.1C22264,18
C12.2C22 = C11×C3⋊C8φ: C22/C11C2 ⊆ Aut C122642C12.2C22264,1
C12.3C22 = Q8×C33φ: C22/C11C2 ⊆ Aut C122642C12.3C22264,30

׿
×
𝔽