Extensions 1→N→G→Q→1 with N=C4×A5 and Q=C2

Direct product G=N×Q with N=C4×A5 and Q=C2
dρLabelID
C2×C4×A540C2xC4xA5480,954

Semidirect products G=N:Q with N=C4×A5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×A5)⋊1C2 = D4×A5φ: C2/C1C2 ⊆ Out C4×A5206+(C4xA5):1C2480,956
(C4×A5)⋊2C2 = C4⋊S5φ: C2/C1C2 ⊆ Out C4×A5206(C4xA5):2C2480,944
(C4×A5)⋊3C2 = C4×S5φ: C2/C1C2 ⊆ Out C4×A5204(C4xA5):3C2480,943

Non-split extensions G=N.Q with N=C4×A5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×A5).1C2 = Q8×A5φ: C2/C1C2 ⊆ Out C4×A5406-(C4xA5).1C2480,958
(C4×A5).2C2 = A5⋊Q8φ: C2/C1C2 ⊆ Out C4×A5246(C4xA5).2C2480,945
(C4×A5).3C2 = A5⋊C8φ: C2/C1C2 ⊆ Out C4×A5404(C4xA5).3C2480,217
(C4×A5).4C2 = C8×A5φ: trivial image403(C4xA5).4C2480,220

׿
×
𝔽