Extensions 1→N→G→Q→1 with N=C6 and Q=C7⋊C8

Direct product G=N×Q with N=C6 and Q=C7⋊C8
dρLabelID
C6×C7⋊C8336C6xC7:C8336,63

Semidirect products G=N:Q with N=C6 and Q=C7⋊C8
extensionφ:Q→Aut NdρLabelID
C6⋊(C7⋊C8) = C2×C21⋊C8φ: C7⋊C8/C28C2 ⊆ Aut C6336C6:(C7:C8)336,95

Non-split extensions G=N.Q with N=C6 and Q=C7⋊C8
extensionφ:Q→Aut NdρLabelID
C6.(C7⋊C8) = C21⋊C16φ: C7⋊C8/C28C2 ⊆ Aut C63362C6.(C7:C8)336,5
C6.2(C7⋊C8) = C3×C7⋊C16central extension (φ=1)3362C6.2(C7:C8)336,4

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