Extensions 1→N→G→Q→1 with N=C4 and Q=C7⋊C8

Direct product G=N×Q with N=C4 and Q=C7⋊C8
dρLabelID
C4×C7⋊C8224C4xC7:C8224,8

Semidirect products G=N:Q with N=C4 and Q=C7⋊C8
extensionφ:Q→Aut NdρLabelID
C4⋊(C7⋊C8) = C28⋊C8φ: C7⋊C8/C28C2 ⊆ Aut C4224C4:(C7:C8)224,10

Non-split extensions G=N.Q with N=C4 and Q=C7⋊C8
extensionφ:Q→Aut NdρLabelID
C4.(C7⋊C8) = C28.C8φ: C7⋊C8/C28C2 ⊆ Aut C41122C4.(C7:C8)224,18
C4.2(C7⋊C8) = C7⋊C32central extension (φ=1)2242C4.2(C7:C8)224,1
C4.3(C7⋊C8) = C2×C7⋊C16central extension (φ=1)224C4.3(C7:C8)224,17

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