Extensions 1→N→G→Q→1 with N=C22×C10 and Q=A4

Direct product G=N×Q with N=C22×C10 and Q=A4

Semidirect products G=N:Q with N=C22×C10 and Q=A4
extensionφ:Q→Aut NdρLabelID
(C22×C10)⋊1A4 = C5×C24⋊C6φ: A4/C1A4 ⊆ Aut C22×C10406(C2^2xC10):1A4480,656
(C22×C10)⋊2A4 = C5×C23⋊A4φ: A4/C1A4 ⊆ Aut C22×C10404(C2^2xC10):2A4480,1134
(C22×C10)⋊3A4 = C10×C22⋊A4φ: A4/C22C3 ⊆ Aut C22×C1060(C2^2xC10):3A4480,1209

Non-split extensions G=N.Q with N=C22×C10 and Q=A4
extensionφ:Q→Aut NdρLabelID
(C22×C10).1A4 = C5×C42⋊C6φ: A4/C1A4 ⊆ Aut C22×C10806(C2^2xC10).1A4480,657
(C22×C10).2A4 = C5×C23.A4φ: A4/C1A4 ⊆ Aut C22×C10606(C2^2xC10).2A4480,658
(C22×C10).3A4 = C5×C23.3A4φ: A4/C22C3 ⊆ Aut C22×C10606(C2^2xC10).3A4480,74
(C22×C10).4A4 = C10×C42⋊C3φ: A4/C22C3 ⊆ Aut C22×C10603(C2^2xC10).4A4480,654
(C22×C10).5A4 = C5×Q8⋊A4φ: A4/C22C3 ⊆ Aut C22×C101206(C2^2xC10).5A4480,1133
(C22×C10).6A4 = C2×C10×SL2(𝔽3)central extension (φ=1)160(C2^2xC10).6A4480,1128