Extensions 1→N→G→Q→1 with N=C4 and Q=C5xM4(2)

Direct product G=NxQ with N=C4 and Q=C5xM4(2)
dρLabelID
M4(2)xC20160M4(2)xC20320,905

Semidirect products G=N:Q with N=C4 and Q=C5xM4(2)
extensionφ:Q→Aut NdρLabelID
C4:1(C5xM4(2)) = C5xC8:6D4φ: C5xM4(2)/C40C2 ⊆ Aut C4160C4:1(C5xM4(2))320,937
C4:2(C5xM4(2)) = C5xC4:M4(2)φ: C5xM4(2)/C2xC20C2 ⊆ Aut C4160C4:2(C5xM4(2))320,924

Non-split extensions G=N.Q with N=C4 and Q=C5xM4(2)
extensionφ:Q→Aut NdρLabelID
C4.1(C5xM4(2)) = C5xD4:C8φ: C5xM4(2)/C40C2 ⊆ Aut C4160C4.1(C5xM4(2))320,130
C4.2(C5xM4(2)) = C5xQ8:C8φ: C5xM4(2)/C40C2 ⊆ Aut C4320C4.2(C5xM4(2))320,131
C4.3(C5xM4(2)) = C5xC8:4Q8φ: C5xM4(2)/C40C2 ⊆ Aut C4320C4.3(C5xM4(2))320,947
C4.4(C5xM4(2)) = C5xC8:2C8φ: C5xM4(2)/C2xC20C2 ⊆ Aut C4320C4.4(C5xM4(2))320,139
C4.5(C5xM4(2)) = C5xC8:1C8φ: C5xM4(2)/C2xC20C2 ⊆ Aut C4320C4.5(C5xM4(2))320,140
C4.6(C5xM4(2)) = C5xC16:C4φ: C5xM4(2)/C2xC20C2 ⊆ Aut C4804C4.6(C5xM4(2))320,152
C4.7(C5xM4(2)) = C5xC23.C8φ: C5xM4(2)/C2xC20C2 ⊆ Aut C4804C4.7(C5xM4(2))320,154
C4.8(C5xM4(2)) = C5xC42.6C4φ: C5xM4(2)/C2xC20C2 ⊆ Aut C4160C4.8(C5xM4(2))320,933
C4.9(C5xM4(2)) = C5xC8:C8central extension (φ=1)320C4.9(C5xM4(2))320,127
C4.10(C5xM4(2)) = C5xC22:C16central extension (φ=1)160C4.10(C5xM4(2))320,153
C4.11(C5xM4(2)) = C5xC4:C16central extension (φ=1)320C4.11(C5xM4(2))320,168
C4.12(C5xM4(2)) = C5xC42.12C4central extension (φ=1)160C4.12(C5xM4(2))320,932

׿
x
:
Z
F
o
wr
Q
<