Extensions 1→N→G→Q→1 with N=C5×D5 and Q=C22

Direct product G=N×Q with N=C5×D5 and Q=C22
dρLabelID
D5×C2×C1040D5xC2xC10200,50

Semidirect products G=N:Q with N=C5×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×D5)⋊C22 = C2×D52φ: C22/C2C2 ⊆ Out C5×D5204+(C5xD5):C2^2200,49

Non-split extensions G=N.Q with N=C5×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×D5).C22 = D5×F5φ: C22/C1C22 ⊆ Out C5×D5208+(C5xD5).C2^2200,41
(C5×D5).2C22 = C10×F5φ: C22/C2C2 ⊆ Out C5×D5404(C5xD5).2C2^2200,45
(C5×D5).3C22 = C2×D5.D5φ: C22/C2C2 ⊆ Out C5×D5404(C5xD5).3C2^2200,46

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