Extensions 1→N→G→Q→1 with N=Q32⋊C2 and Q=C2

Direct product G=N×Q with N=Q32⋊C2 and Q=C2
dρLabelID
C2×Q32⋊C264C2xQ32:C2128,2145

Semidirect products G=N:Q with N=Q32⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
Q32⋊C21C2 = D8.D4φ: C2/C1C2 ⊆ Out Q32⋊C2328-Q32:C2:1C2128,923
Q32⋊C22C2 = D8.3D4φ: C2/C1C2 ⊆ Out Q32⋊C2324Q32:C2:2C2128,926
Q32⋊C23C2 = D8.12D4φ: C2/C1C2 ⊆ Out Q32⋊C2644-Q32:C2:3C2128,927
Q32⋊C24C2 = C8.3D8φ: C2/C1C2 ⊆ Out Q32⋊C2324Q32:C2:4C2128,944
Q32⋊C25C2 = D4○SD32φ: C2/C1C2 ⊆ Out Q32⋊C2324Q32:C2:5C2128,2148
Q32⋊C26C2 = Q8○D16φ: C2/C1C2 ⊆ Out Q32⋊C2644-Q32:C2:6C2128,2149
Q32⋊C27C2 = D16⋊C22φ: trivial image324Q32:C2:7C2128,2146

Non-split extensions G=N.Q with N=Q32⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
Q32⋊C2.1C2 = Q32⋊C4φ: C2/C1C2 ⊆ Out Q32⋊C2328-Q32:C2.1C2128,912
Q32⋊C2.2C2 = C8.5D8φ: C2/C1C2 ⊆ Out Q32⋊C2324-Q32:C2.2C2128,946

׿
×
𝔽