Extensions 1→N→G→Q→1 with N=C7 and Q=C4×C4○D4

Direct product G=N×Q with N=C7 and Q=C4×C4○D4
dρLabelID
C4○D4×C28224C4oD4xC28448,1300

Semidirect products G=N:Q with N=C7 and Q=C4×C4○D4
extensionφ:Q→Aut NdρLabelID
C71(C4×C4○D4) = C4×C4○D28φ: C4×C4○D4/C2×C42C2 ⊆ Aut C7224C7:1(C4xC4oD4)448,927
C72(C4×C4○D4) = C42.188D14φ: C4×C4○D4/C42⋊C2C2 ⊆ Aut C7224C7:2(C4xC4oD4)448,975
C73(C4×C4○D4) = C4×D42D7φ: C4×C4○D4/C4×D4C2 ⊆ Aut C7224C7:3(C4xC4oD4)448,989
C74(C4×C4○D4) = C4×Q82D7φ: C4×C4○D4/C4×Q8C2 ⊆ Aut C7224C7:4(C4xC4oD4)448,1026
C75(C4×C4○D4) = C4○D4×Dic7φ: C4×C4○D4/C2×C4○D4C2 ⊆ Aut C7224C7:5(C4xC4oD4)448,1279


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