Extensions 1→N→G→Q→1 with N=C4 and Q=C3⋊C16

Direct product G=N×Q with N=C4 and Q=C3⋊C16
dρLabelID
C4×C3⋊C16192C4xC3:C16192,19

Semidirect products G=N:Q with N=C4 and Q=C3⋊C16
extensionφ:Q→Aut NdρLabelID
C4⋊(C3⋊C16) = C12⋊C16φ: C3⋊C16/C24C2 ⊆ Aut C4192C4:(C3:C16)192,21

Non-split extensions G=N.Q with N=C4 and Q=C3⋊C16
extensionφ:Q→Aut NdρLabelID
C4.(C3⋊C16) = C3⋊M6(2)φ: C3⋊C16/C24C2 ⊆ Aut C4962C4.(C3:C16)192,58
C4.2(C3⋊C16) = C3⋊C64central extension (φ=1)1922C4.2(C3:C16)192,1
C4.3(C3⋊C16) = C2×C3⋊C32central extension (φ=1)192C4.3(C3:C16)192,57

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