Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C4×D4

Direct product G=N×Q with N=C7 and Q=C2×C4×D4
dρLabelID
D4×C2×C28224D4xC2xC28448,1298

Semidirect products G=N:Q with N=C7 and Q=C2×C4×D4
extensionφ:Q→Aut NdρLabelID
C71(C2×C4×D4) = C2×C4×D28φ: C2×C4×D4/C2×C42C2 ⊆ Aut C7224C7:1(C2xC4xD4)448,926
C72(C2×C4×D4) = C2×Dic74D4φ: C2×C4×D4/C2×C22⋊C4C2 ⊆ Aut C7224C7:2(C2xC4xD4)448,938
C73(C2×C4×D4) = C2×D28⋊C4φ: C2×C4×D4/C2×C4⋊C4C2 ⊆ Aut C7224C7:3(C2xC4xD4)448,956
C74(C2×C4×D4) = C4×D4×D7φ: C2×C4×D4/C4×D4C2 ⊆ Aut C7112C7:4(C2xC4xD4)448,997
C75(C2×C4×D4) = C2×C4×C7⋊D4φ: C2×C4×D4/C23×C4C2 ⊆ Aut C7224C7:5(C2xC4xD4)448,1241
C76(C2×C4×D4) = C2×D4×Dic7φ: C2×C4×D4/C22×D4C2 ⊆ Aut C7224C7:6(C2xC4xD4)448,1248


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