Extensions 1→N→G→Q→1 with N=C7 and Q=C8⋊D4

Direct product G=N×Q with N=C7 and Q=C8⋊D4
dρLabelID
C7×C8⋊D4224C7xC8:D4448,876

Semidirect products G=N:Q with N=C7 and Q=C8⋊D4
extensionφ:Q→Aut NdρLabelID
C71(C8⋊D4) = C7⋊C81D4φ: C8⋊D4/D4⋊C4C2 ⊆ Aut C7224C7:1(C8:D4)448,314
C72(C8⋊D4) = C7⋊(C8⋊D4)φ: C8⋊D4/Q8⋊C4C2 ⊆ Aut C7224C7:2(C8:D4)448,346
C73(C8⋊D4) = C83D28φ: C8⋊D4/C2.D8C2 ⊆ Aut C7224C7:3(C8:D4)448,420
C74(C8⋊D4) = C7⋊C85D4φ: C8⋊D4/C4⋊D4C2 ⊆ Aut C7224C7:4(C8:D4)448,576
C75(C8⋊D4) = C7⋊C86D4φ: C8⋊D4/C22⋊Q8C2 ⊆ Aut C7224C7:5(C8:D4)448,583
C76(C8⋊D4) = C562D4φ: C8⋊D4/C2×M4(2)C2 ⊆ Aut C7224C7:6(C8:D4)448,668
C77(C8⋊D4) = C568D4φ: C8⋊D4/C2×SD16C2 ⊆ Aut C7224C7:7(C8:D4)448,708


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