Extensions 1→N→G→Q→1 with N=C5×D5 and Q=C23

Direct product G=N×Q with N=C5×D5 and Q=C23
dρLabelID
D5×C22×C1080D5xC2^2xC10400,219

Semidirect products G=N:Q with N=C5×D5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C5×D5)⋊C23 = C22×D52φ: C23/C22C2 ⊆ Out C5×D540(C5xD5):C2^3400,218

Non-split extensions G=N.Q with N=C5×D5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C5×D5).C23 = C2×D5×F5φ: C23/C2C22 ⊆ Out C5×D5408+(C5xD5).C2^3400,209
(C5×D5).2C23 = F5×C2×C10φ: C23/C22C2 ⊆ Out C5×D580(C5xD5).2C2^3400,214
(C5×D5).3C23 = C22×D5.D5φ: C23/C22C2 ⊆ Out C5×D580(C5xD5).3C2^3400,215

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