Extensions 1→N→G→Q→1 with N=C4 and Q=C5×D5

Direct product G=N×Q with N=C4 and Q=C5×D5
dρLabelID
D5×C20402D5xC20200,28

Semidirect products G=N:Q with N=C4 and Q=C5×D5
extensionφ:Q→Aut NdρLabelID
C4⋊(C5×D5) = C5×D20φ: C5×D5/C52C2 ⊆ Aut C4402C4:(C5xD5)200,29

Non-split extensions G=N.Q with N=C4 and Q=C5×D5
extensionφ:Q→Aut NdρLabelID
C4.(C5×D5) = C5×Dic10φ: C5×D5/C52C2 ⊆ Aut C4402C4.(C5xD5)200,27
C4.2(C5×D5) = C5×C52C8central extension (φ=1)402C4.2(C5xD5)200,15

׿
×
𝔽