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Extensions 1→N→G→Q→1 with N=2- 1+4:C5 and Q=C2

Direct product G=NxQ with N=2- 1+4:C5 and Q=C2
dρLabelID
C2x2- 1+4:C564C2xES-(2,2):C5320,1585

Semidirect products G=N:Q with N=2- 1+4:C5 and Q=C2
extensionφ:Q→Out NdρLabelID
2- 1+4:C5:C2 = 2- 1+4:D5φ: C2/C1 → C2 ⊆ Out 2- 1+4:C5324ES-(2,2):C5:C2320,1582
2- 1+4:C5:2C2 = 2- 1+4.C10φ: trivial image644ES-(2,2):C5:2C2320,1586

Non-split extensions G=N.Q with N=2- 1+4:C5 and Q=C2
extensionφ:Q→Out NdρLabelID
2- 1+4:C5.C2 = 2- 1+4.D5φ: C2/C1 → C2 ⊆ Out 2- 1+4:C5644-ES-(2,2):C5.C2320,1581

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