Extensions 1→N→G→Q→1 with N=C4 and Q=C5×M4(2)

Direct product G=N×Q with N=C4 and Q=C5×M4(2)
dρLabelID
M4(2)×C20160M4(2)xC20320,905

Semidirect products G=N:Q with N=C4 and Q=C5×M4(2)
extensionφ:Q→Aut NdρLabelID
C41(C5×M4(2)) = C5×C86D4φ: C5×M4(2)/C40C2 ⊆ Aut C4160C4:1(C5xM4(2))320,937
C42(C5×M4(2)) = C5×C4⋊M4(2)φ: C5×M4(2)/C2×C20C2 ⊆ Aut C4160C4:2(C5xM4(2))320,924

Non-split extensions G=N.Q with N=C4 and Q=C5×M4(2)
extensionφ:Q→Aut NdρLabelID
C4.1(C5×M4(2)) = C5×D4⋊C8φ: C5×M4(2)/C40C2 ⊆ Aut C4160C4.1(C5xM4(2))320,130
C4.2(C5×M4(2)) = C5×Q8⋊C8φ: C5×M4(2)/C40C2 ⊆ Aut C4320C4.2(C5xM4(2))320,131
C4.3(C5×M4(2)) = C5×C84Q8φ: C5×M4(2)/C40C2 ⊆ Aut C4320C4.3(C5xM4(2))320,947
C4.4(C5×M4(2)) = C5×C82C8φ: C5×M4(2)/C2×C20C2 ⊆ Aut C4320C4.4(C5xM4(2))320,139
C4.5(C5×M4(2)) = C5×C81C8φ: C5×M4(2)/C2×C20C2 ⊆ Aut C4320C4.5(C5xM4(2))320,140
C4.6(C5×M4(2)) = C5×C16⋊C4φ: C5×M4(2)/C2×C20C2 ⊆ Aut C4804C4.6(C5xM4(2))320,152
C4.7(C5×M4(2)) = C5×C23.C8φ: C5×M4(2)/C2×C20C2 ⊆ Aut C4804C4.7(C5xM4(2))320,154
C4.8(C5×M4(2)) = C5×C42.6C4φ: C5×M4(2)/C2×C20C2 ⊆ Aut C4160C4.8(C5xM4(2))320,933
C4.9(C5×M4(2)) = C5×C8⋊C8central extension (φ=1)320C4.9(C5xM4(2))320,127
C4.10(C5×M4(2)) = C5×C22⋊C16central extension (φ=1)160C4.10(C5xM4(2))320,153
C4.11(C5×M4(2)) = C5×C4⋊C16central extension (φ=1)320C4.11(C5xM4(2))320,168
C4.12(C5×M4(2)) = C5×C42.12C4central extension (φ=1)160C4.12(C5xM4(2))320,932

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