Extensions 1→N→G→Q→1 with N=C7 and Q=D8⋊C4

Direct product G=N×Q with N=C7 and Q=D8⋊C4
dρLabelID
C7×D8⋊C4224C7xD8:C4448,850

Semidirect products G=N:Q with N=C7 and Q=D8⋊C4
extensionφ:Q→Aut NdρLabelID
C71(D8⋊C4) = D56⋊C4φ: D8⋊C4/C8⋊C4C2 ⊆ Aut C7224C7:1(D8:C4)448,245
C72(D8⋊C4) = D4⋊D7⋊C4φ: D8⋊C4/D4⋊C4C2 ⊆ Aut C7224C7:2(D8:C4)448,319
C73(D8⋊C4) = D569C4φ: D8⋊C4/C4.Q8C2 ⊆ Aut C7224C7:3(D8:C4)448,403
C74(D8⋊C4) = C42.48D14φ: D8⋊C4/C4×D4C2 ⊆ Aut C7224C7:4(D8:C4)448,548
C75(D8⋊C4) = D8⋊Dic7φ: D8⋊C4/C2×D8C2 ⊆ Aut C7224C7:5(D8:C4)448,686


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