Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C20

Direct product G=N×Q with N=C2×C4 and Q=C20
dρLabelID
C2×C4×C20160C2xC4xC20160,175

Semidirect products G=N:Q with N=C2×C4 and Q=C20
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊C20 = C5×C23⋊C4φ: C20/C5C4 ⊆ Aut C2×C4404(C2xC4):C20160,49
(C2×C4)⋊2C20 = C5×C2.C42φ: C20/C10C2 ⊆ Aut C2×C4160(C2xC4):2C20160,45
(C2×C4)⋊3C20 = C10×C4⋊C4φ: C20/C10C2 ⊆ Aut C2×C4160(C2xC4):3C20160,177
(C2×C4)⋊4C20 = C5×C42⋊C2φ: C20/C10C2 ⊆ Aut C2×C480(C2xC4):4C20160,178

Non-split extensions G=N.Q with N=C2×C4 and Q=C20
extensionφ:Q→Aut NdρLabelID
(C2×C4).C20 = C5×C4.10D4φ: C20/C5C4 ⊆ Aut C2×C4804(C2xC4).C20160,51
(C2×C4).2C20 = C5×C8⋊C4φ: C20/C10C2 ⊆ Aut C2×C4160(C2xC4).2C20160,47
(C2×C4).3C20 = C5×C22⋊C8φ: C20/C10C2 ⊆ Aut C2×C480(C2xC4).3C20160,48
(C2×C4).4C20 = C5×C4⋊C8φ: C20/C10C2 ⊆ Aut C2×C4160(C2xC4).4C20160,55
(C2×C4).5C20 = C5×M5(2)φ: C20/C10C2 ⊆ Aut C2×C4802(C2xC4).5C20160,60
(C2×C4).6C20 = C10×M4(2)φ: C20/C10C2 ⊆ Aut C2×C480(C2xC4).6C20160,191

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