Extensions 1→N→G→Q→1 with N=C10 and Q=C5×D5

Direct product G=N×Q with N=C10 and Q=C5×D5

Semidirect products G=N:Q with N=C10 and Q=C5×D5
extensionφ:Q→Aut NdρLabelID
C10⋊(C5×D5) = C10×C5⋊D5φ: C5×D5/C52C2 ⊆ Aut C10100C10:(C5xD5)500,54

Non-split extensions G=N.Q with N=C10 and Q=C5×D5
extensionφ:Q→Aut NdρLabelID
C10.1(C5×D5) = C5×Dic25φ: C5×D5/C52C2 ⊆ Aut C101002C10.1(C5xD5)500,6
C10.2(C5×D5) = He55C4φ: C5×D5/C52C2 ⊆ Aut C1010010-C10.2(C5xD5)500,8
C10.3(C5×D5) = C50.C10φ: C5×D5/C52C2 ⊆ Aut C1010010-C10.3(C5xD5)500,9
C10.4(C5×D5) = C10×D25φ: C5×D5/C52C2 ⊆ Aut C101002C10.4(C5xD5)500,28
C10.5(C5×D5) = C2×C52⋊C10φ: C5×D5/C52C2 ⊆ Aut C105010+C10.5(C5xD5)500,30
C10.6(C5×D5) = C2×C25⋊C10φ: C5×D5/C52C2 ⊆ Aut C105010+C10.6(C5xD5)500,31
C10.7(C5×D5) = C5×C526C4φ: C5×D5/C52C2 ⊆ Aut C10100C10.7(C5xD5)500,38
C10.8(C5×D5) = Dic5×C25central extension (φ=1)1002C10.8(C5xD5)500,7
C10.9(C5×D5) = D5×C50central extension (φ=1)1002C10.9(C5xD5)500,29
C10.10(C5×D5) = Dic5×C52central extension (φ=1)100C10.10(C5xD5)500,37