Extensions 1→N→G→Q→1 with N=C4 and Q=F7

Direct product G=N×Q with N=C4 and Q=F7
dρLabelID
C4×F7286C4xF7168,8

Semidirect products G=N:Q with N=C4 and Q=F7
extensionφ:Q→Aut NdρLabelID
C4⋊F7 = C4⋊F7φ: F7/C7⋊C3C2 ⊆ Aut C4286+C4:F7168,9

Non-split extensions G=N.Q with N=C4 and Q=F7
extensionφ:Q→Aut NdρLabelID
C4.F7 = C4.F7φ: F7/C7⋊C3C2 ⊆ Aut C4566-C4.F7168,7
C4.2F7 = C7⋊C24central extension (φ=1)566C4.2F7168,1

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