Extensions 1→N→G→Q→1 with N=C4 and Q=C7⋊D7

Direct product G=N×Q with N=C4 and Q=C7⋊D7
dρLabelID
C4×C7⋊D7196C4xC7:D7392,29

Semidirect products G=N:Q with N=C4 and Q=C7⋊D7
extensionφ:Q→Aut NdρLabelID
C4⋊(C7⋊D7) = C28⋊D7φ: C7⋊D7/C72C2 ⊆ Aut C4196C4:(C7:D7)392,30

Non-split extensions G=N.Q with N=C4 and Q=C7⋊D7
extensionφ:Q→Aut NdρLabelID
C4.(C7⋊D7) = C724Q8φ: C7⋊D7/C72C2 ⊆ Aut C4392C4.(C7:D7)392,28
C4.2(C7⋊D7) = C724C8central extension (φ=1)392C4.2(C7:D7)392,15

׿
×
𝔽