Extensions 1→N→G→Q→1 with N=C22xC10 and Q=D5

Direct product G=NxQ with N=C22xC10 and Q=D5
dρLabelID
D5xC22xC1080D5xC2^2xC10400,219

Semidirect products G=N:Q with N=C22xC10 and Q=D5
extensionφ:Q→Aut NdρLabelID
(C22xC10):1D5 = C10xC5:D4φ: D5/C5C2 ⊆ Aut C22xC1040(C2^2xC10):1D5400,190
(C22xC10):2D5 = C2xC52:7D4φ: D5/C5C2 ⊆ Aut C22xC10200(C2^2xC10):2D5400,200
(C22xC10):3D5 = C23xC5:D5φ: D5/C5C2 ⊆ Aut C22xC10200(C2^2xC10):3D5400,220

Non-split extensions G=N.Q with N=C22xC10 and Q=D5
extensionφ:Q→Aut NdρLabelID
(C22xC10).1D5 = C5xC23.D5φ: D5/C5C2 ⊆ Aut C22xC1040(C2^2xC10).1D5400,91
(C22xC10).2D5 = C23.D25φ: D5/C5C2 ⊆ Aut C22xC10200(C2^2xC10).2D5400,19
(C22xC10).3D5 = C22xDic25φ: D5/C5C2 ⊆ Aut C22xC10400(C2^2xC10).3D5400,43
(C22xC10).4D5 = C2xC25:D4φ: D5/C5C2 ⊆ Aut C22xC10200(C2^2xC10).4D5400,44
(C22xC10).5D5 = C23xD25φ: D5/C5C2 ⊆ Aut C22xC10200(C2^2xC10).5D5400,54
(C22xC10).6D5 = C102:11C4φ: D5/C5C2 ⊆ Aut C22xC10200(C2^2xC10).6D5400,107
(C22xC10).7D5 = C22xC52:6C4φ: D5/C5C2 ⊆ Aut C22xC10400(C2^2xC10).7D5400,199
(C22xC10).8D5 = Dic5xC2xC10central extension (φ=1)80(C2^2xC10).8D5400,189

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