Extensions 1→N→G→Q→1 with N=C5×C45 and Q=C2

Direct product G=N×Q with N=C5×C45 and Q=C2
dρLabelID
C5×C90450C5xC90450,19

Semidirect products G=N:Q with N=C5×C45 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C5×C45)⋊1C2 = C5⋊D45φ: C2/C1C2 ⊆ Aut C5×C45225(C5xC45):1C2450,18
(C5×C45)⋊2C2 = C5×D45φ: C2/C1C2 ⊆ Aut C5×C45902(C5xC45):2C2450,17
(C5×C45)⋊3C2 = D9×C52φ: C2/C1C2 ⊆ Aut C5×C45225(C5xC45):3C2450,16
(C5×C45)⋊4C2 = D5×C45φ: C2/C1C2 ⊆ Aut C5×C45902(C5xC45):4C2450,14
(C5×C45)⋊5C2 = C9×C5⋊D5φ: C2/C1C2 ⊆ Aut C5×C45225(C5xC45):5C2450,15


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