Extensions 1→N→G→Q→1 with N=C22 and Q=C5×Q16

Direct product G=N×Q with N=C22 and Q=C5×Q16

Semidirect products G=N:Q with N=C22 and Q=C5×Q16
extensionφ:Q→Aut NdρLabelID
C221(C5×Q16) = C5×C8.18D4φ: C5×Q16/C40C2 ⊆ Aut C22160C2^2:1(C5xQ16)320,968
C222(C5×Q16) = C5×C22⋊Q16φ: C5×Q16/C5×Q8C2 ⊆ Aut C22160C2^2:2(C5xQ16)320,952

Non-split extensions G=N.Q with N=C22 and Q=C5×Q16
extensionφ:Q→Aut NdρLabelID
C22.1(C5×Q16) = C5×C8.4Q8φ: C5×Q16/C40C2 ⊆ Aut C221602C2^2.1(C5xQ16)320,173
C22.2(C5×Q16) = C5×C23.31D4φ: C5×Q16/C5×Q8C2 ⊆ Aut C2280C2^2.2(C5xQ16)320,133
C22.3(C5×Q16) = C5×C23.48D4φ: C5×Q16/C5×Q8C2 ⊆ Aut C22160C2^2.3(C5xQ16)320,985
C22.4(C5×Q16) = C5×C22.4Q16central extension (φ=1)320C2^2.4(C5xQ16)320,145
C22.5(C5×Q16) = C10×Q8⋊C4central extension (φ=1)320C2^2.5(C5xQ16)320,916
C22.6(C5×Q16) = C10×C2.D8central extension (φ=1)320C2^2.6(C5xQ16)320,927