# Extensions 1→N→G→Q→1 with N=C4 and Q=C3×Q16

Direct product G=N×Q with N=C4 and Q=C3×Q16
dρLabelID
C12×Q16192C12xQ16192,872

Semidirect products G=N:Q with N=C4 and Q=C3×Q16
extensionφ:Q→Aut NdρLabelID
C41(C3×Q16) = C3×C4⋊Q16φ: C3×Q16/C24C2 ⊆ Aut C4192C4:1(C3xQ16)192,927
C42(C3×Q16) = C3×C42Q16φ: C3×Q16/C3×Q8C2 ⊆ Aut C4192C4:2(C3xQ16)192,895

Non-split extensions G=N.Q with N=C4 and Q=C3×Q16
extensionφ:Q→Aut NdρLabelID
C4.1(C3×Q16) = C3×C163C4φ: C3×Q16/C24C2 ⊆ Aut C4192C4.1(C3xQ16)192,172
C4.2(C3×Q16) = C3×C164C4φ: C3×Q16/C24C2 ⊆ Aut C4192C4.2(C3xQ16)192,173
C4.3(C3×Q16) = C3×C4.SD16φ: C3×Q16/C24C2 ⊆ Aut C4192C4.3(C3xQ16)192,920
C4.4(C3×Q16) = C3×C82Q8φ: C3×Q16/C24C2 ⊆ Aut C4192C4.4(C3xQ16)192,933
C4.5(C3×Q16) = C3×C4.10D8φ: C3×Q16/C3×Q8C2 ⊆ Aut C4192C4.5(C3xQ16)192,138
C4.6(C3×Q16) = C3×C4.6Q16φ: C3×Q16/C3×Q8C2 ⊆ Aut C4192C4.6(C3xQ16)192,139
C4.7(C3×Q16) = C3×C4.Q16φ: C3×Q16/C3×Q8C2 ⊆ Aut C4192C4.7(C3xQ16)192,910
C4.8(C3×Q16) = C3×Q8⋊C8central extension (φ=1)192C4.8(C3xQ16)192,132
C4.9(C3×Q16) = C3×C81C8central extension (φ=1)192C4.9(C3xQ16)192,141

׿
×
𝔽