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Extensions 1→N→G→Q→1 with N=C7 and Q=D4⋊4D4

Direct product G=N×Q with N=C7 and Q=D4⋊4D4
dρLabelID
C7×D4⋊4D4564C7xD4:4D4448,861

Semidirect products G=N:Q with N=C7 and Q=D4⋊4D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(D4⋊4D4) = D28⋊1D4φ: D4⋊4D4/C4.D4 → C2 ⊆ Aut C7568+C7:1(D4:4D4)448,281
C7⋊2(D4⋊4D4) = D4⋊4D28φ: D4⋊4D4/C4≀C2 → C2 ⊆ Aut C7564+C7:2(D4:4D4)448,356
C7⋊3(D4⋊4D4) = D28⋊5D4φ: D4⋊4D4/C4⋊1D4 → C2 ⊆ Aut C7564C7:3(D4:4D4)448,611
C7⋊4(D4⋊4D4) = D28⋊18D4φ: D4⋊4D4/C8⋊C22 → C2 ⊆ Aut C7568+C7:4(D4:4D4)448,732
C7⋊5(D4⋊4D4) = 2+ 1+4⋊D7φ: D4⋊4D4/2+ 1+4 → C2 ⊆ Aut C7568+C7:5(D4:4D4)448,775


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