Extensions 1→N→G→Q→1 with N=C5×D5 and Q=C4

Direct product G=N×Q with N=C5×D5 and Q=C4
dρLabelID
D5×C20402D5xC20200,28

Semidirect products G=N:Q with N=C5×D5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C5×D5)⋊1C4 = D5×F5φ: C4/C1C4 ⊆ Out C5×D5208+(C5xD5):1C4200,41
(C5×D5)⋊2C4 = D5⋊F5φ: C4/C1C4 ⊆ Out C5×D5108+(C5xD5):2C4200,42
(C5×D5)⋊3C4 = C10×F5φ: C4/C2C2 ⊆ Out C5×D5404(C5xD5):3C4200,45
(C5×D5)⋊4C4 = D5×Dic5φ: C4/C2C2 ⊆ Out C5×D5404-(C5xD5):4C4200,22
(C5×D5)⋊5C4 = C2×D5.D5φ: C4/C2C2 ⊆ Out C5×D5404(C5xD5):5C4200,46


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