Extensions 1→N→G→Q→1 with N=C7 and Q=C2x3- 1+2

Direct product G=NxQ with N=C7 and Q=C2x3- 1+2
dρLabelID
C14x3- 1+21263C14xES-(3,1)378,46

Semidirect products G=N:Q with N=C7 and Q=C2x3- 1+2
extensionφ:Q→Aut NdρLabelID
C7:1(C2x3- 1+2) = C9:3F7φ: C2x3- 1+2/C9C6 ⊆ Aut C7636C7:1(C2xES-(3,1))378,8
C7:2(C2x3- 1+2) = C9:4F7φ: C2x3- 1+2/C9C6 ⊆ Aut C7636C7:2(C2xES-(3,1))378,9
C7:3(C2x3- 1+2) = C32.F7φ: C2x3- 1+2/C32C6 ⊆ Aut C7636C7:3(C2xES-(3,1))378,11
C7:4(C2x3- 1+2) = C2xC63:C3φ: C2x3- 1+2/C18C3 ⊆ Aut C71263C7:4(C2xES-(3,1))378,24
C7:5(C2x3- 1+2) = C2xC63:3C3φ: C2x3- 1+2/C18C3 ⊆ Aut C71263C7:5(C2xES-(3,1))378,25
C7:6(C2x3- 1+2) = C2xC21.C32φ: C2x3- 1+2/C3xC6C3 ⊆ Aut C71263C7:6(C2xES-(3,1))378,27
C7:7(C2x3- 1+2) = D7x3- 1+2φ: C2x3- 1+2/3- 1+2C2 ⊆ Aut C7636C7:7(C2xES-(3,1))378,31


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