Extensions 1→N→G→Q→1 with N=C22 and Q=C7⋊C16

Direct product G=N×Q with N=C22 and Q=C7⋊C16
dρLabelID
C22×C7⋊C16448C2^2xC7:C16448,630

Semidirect products G=N:Q with N=C22 and Q=C7⋊C16
extensionφ:Q→Aut NdρLabelID
C22⋊(C7⋊C16) = C56.91D4φ: C7⋊C16/C56C2 ⊆ Aut C22224C2^2:(C7:C16)448,106

Non-split extensions G=N.Q with N=C22 and Q=C7⋊C16
extensionφ:Q→Aut NdρLabelID
C22.(C7⋊C16) = C7⋊M6(2)φ: C7⋊C16/C56C2 ⊆ Aut C222242C2^2.(C7:C16)448,56
C22.2(C7⋊C16) = C2×C7⋊C32central extension (φ=1)448C2^2.2(C7:C16)448,55

׿
×
𝔽