Extensions 1→N→G→Q→1 with N=C5×He3 and Q=C3

Direct product G=N×Q with N=C5×He3 and Q=C3
dρLabelID
C15×He3135C15xHe3405,12

Semidirect products G=N:Q with N=C5×He3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C5×He3)⋊1C3 = C5×C3≀C3φ: C3/C1C3 ⊆ Out C5×He3453(C5xHe3):1C3405,7
(C5×He3)⋊2C3 = C5×He3⋊C3φ: C3/C1C3 ⊆ Out C5×He31353(C5xHe3):2C3405,9

Non-split extensions G=N.Q with N=C5×He3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C5×He3).C3 = C5×He3.C3φ: C3/C1C3 ⊆ Out C5×He31353(C5xHe3).C3405,8
(C5×He3).2C3 = C5×C9○He3φ: trivial image1353(C5xHe3).2C3405,14

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