Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C22

Direct product G=N×Q with N=Q8 and Q=C2×C22

Semidirect products G=N:Q with N=Q8 and Q=C2×C22
extensionφ:Q→Out NdρLabelID
Q81(C2×C22) = SD16×C22φ: C2×C22/C22C2 ⊆ Out Q8176Q8:1(C2xC22)352,168
Q82(C2×C22) = C11×C8⋊C22φ: C2×C22/C22C2 ⊆ Out Q8884Q8:2(C2xC22)352,171
Q83(C2×C22) = C4○D4×C22φ: trivial image176Q8:3(C2xC22)352,191
Q84(C2×C22) = C11×2+ 1+4φ: trivial image884Q8:4(C2xC22)352,192

Non-split extensions G=N.Q with N=Q8 and Q=C2×C22
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C22) = Q16×C22φ: C2×C22/C22C2 ⊆ Out Q8352Q8.1(C2xC22)352,169
Q8.2(C2×C22) = C11×C4○D8φ: C2×C22/C22C2 ⊆ Out Q81762Q8.2(C2xC22)352,170
Q8.3(C2×C22) = C11×C8.C22φ: C2×C22/C22C2 ⊆ Out Q81764Q8.3(C2xC22)352,172
Q8.4(C2×C22) = C11×2- 1+4φ: trivial image1764Q8.4(C2xC22)352,193