Extensions 1→N→G→Q→1 with N=C7 and Q=C42.28C22

Direct product G=NxQ with N=C7 and Q=C42.28C22
dρLabelID
C7xC42.28C22224C7xC4^2.28C2^2448,897

Semidirect products G=N:Q with N=C7 and Q=C42.28C22
extensionφ:Q→Aut NdρLabelID
C7:1(C42.28C22) = C42.20D14φ: C42.28C22/C8:C4C2 ⊆ Aut C7224C7:1(C4^2.28C2^2)448,248
C7:2(C42.28C22) = C28:Q8:C2φ: C42.28C22/D4:C4C2 ⊆ Aut C7224C7:2(C4^2.28C2^2)448,299
C7:3(C42.28C22) = Q8:C4:D7φ: C42.28C22/Q8:C4C2 ⊆ Aut C7224C7:3(C4^2.28C2^2)448,329
C7:4(C42.28C22) = C42.62D14φ: C42.28C22/C4.4D4C2 ⊆ Aut C7224C7:4(C4^2.28C2^2)448,589
C7:5(C42.28C22) = C42.82D14φ: C42.28C22/C4:Q8C2 ⊆ Aut C7224C7:5(C4^2.28C2^2)448,623


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