Extensions 1→N→G→Q→1 with N=C5×C35 and Q=C2

Direct product G=N×Q with N=C5×C35 and Q=C2
dρLabelID
C5×C70350C5xC70350,10

Semidirect products G=N:Q with N=C5×C35 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C5×C35)⋊1C2 = C5⋊D35φ: C2/C1C2 ⊆ Aut C5×C35175(C5xC35):1C2350,9
(C5×C35)⋊2C2 = C5×D35φ: C2/C1C2 ⊆ Aut C5×C35702(C5xC35):2C2350,7
(C5×C35)⋊3C2 = D7×C52φ: C2/C1C2 ⊆ Aut C5×C35175(C5xC35):3C2350,5
(C5×C35)⋊4C2 = D5×C35φ: C2/C1C2 ⊆ Aut C5×C35702(C5xC35):4C2350,6
(C5×C35)⋊5C2 = C7×C5⋊D5φ: C2/C1C2 ⊆ Aut C5×C35175(C5xC35):5C2350,8


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