Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C3⋊D4

Direct product G=N×Q with N=C7 and Q=C2×C3⋊D4
dρLabelID
C14×C3⋊D4168C14xC3:D4336,193

Semidirect products G=N:Q with N=C7 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C2×C3⋊D4) = C2×C3⋊D28φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C7168C7:1(C2xC3:D4)336,158
C7⋊2(C2×C3⋊D4) = D7×C3⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C7844C7:2(C2xC3:D4)336,161
C7⋊3(C2×C3⋊D4) = C2×C21⋊D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C7168C7:3(C2xC3:D4)336,157
C7⋊4(C2×C3⋊D4) = C2×C21⋊7D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C7168C7:4(C2xC3:D4)336,203


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