Extensions 1→N→G→Q→1 with N=C52 and Q=C15

Direct product G=N×Q with N=C52 and Q=C15
dρLabelID
C52×C15375C5^2xC15375,7

Semidirect products G=N:Q with N=C52 and Q=C15
extensionφ:Q→Aut NdρLabelID
C52⋊C15 = C3×He5φ: C15/C3C5 ⊆ Aut C52755C5^2:C15375,4
C522C15 = C5×C52⋊C3φ: C15/C5C3 ⊆ Aut C52153C5^2:2C15375,6

Non-split extensions G=N.Q with N=C52 and Q=C15
extensionφ:Q→Aut NdρLabelID
C52.C15 = C3×5- 1+2φ: C15/C3C5 ⊆ Aut C52755C5^2.C15375,5

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