Extensions 1→N→G→Q→1 with N=C7 and Q=D4⋊Q8

Direct product G=N×Q with N=C7 and Q=D4⋊Q8
dρLabelID
C7×D4⋊Q8224C7xD4:Q8448,882

Semidirect products G=N:Q with N=C7 and Q=D4⋊Q8
extensionφ:Q→Aut NdρLabelID
C7⋊1(D4⋊Q8) = Dic7.D8φ: D4⋊Q8/D4⋊C4 → C2 ⊆ Aut C7224C7:1(D4:Q8)448,293
C7⋊2(D4⋊Q8) = D28⋊4Q8φ: D4⋊Q8/C4⋊C8 → C2 ⊆ Aut C7224C7:2(D4:Q8)448,380
C7⋊3(D4⋊Q8) = D28⋊2Q8φ: D4⋊Q8/C2.D8 → C2 ⊆ Aut C7224C7:3(D4:Q8)448,424
C7⋊4(D4⋊Q8) = C28.50D8φ: D4⋊Q8/C4×D4 → C2 ⊆ Aut C7224C7:4(D4:Q8)448,541
C7⋊5(D4⋊Q8) = D28⋊6Q8φ: D4⋊Q8/C4⋊Q8 → C2 ⊆ Aut C7224C7:5(D4:Q8)448,621


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