Extensions 1→N→G→Q→1 with N=C5×D5 and Q=C2

Direct product G=N×Q with N=C5×D5 and Q=C2
dρLabelID
D5×C10202D5xC10100,14

Semidirect products G=N:Q with N=C5×D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D5)⋊C2 = D52φ: C2/C1C2 ⊆ Out C5×D5104+(C5xD5):C2100,13

Non-split extensions G=N.Q with N=C5×D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D5).1C2 = C5×F5φ: C2/C1C2 ⊆ Out C5×D5204(C5xD5).1C2100,9
(C5×D5).2C2 = D5.D5φ: C2/C1C2 ⊆ Out C5×D5204(C5xD5).2C2100,10

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