Extensions 1→N→G→Q→1 with N=C7 and Q=D4.5D4

Direct product G=N×Q with N=C7 and Q=D4.5D4
dρLabelID
C7×D4.5D42244C7xD4.5D4448,881

Semidirect products G=N:Q with N=C7 and Q=D4.5D4
extensionφ:Q→Aut NdρLabelID
C71(D4.5D4) = D28.7D4φ: D4.5D4/C4.10D4C2 ⊆ Aut C72248-C7:1(D4.5D4)448,289
C72(D4.5D4) = C8.20D28φ: D4.5D4/C8.C4C2 ⊆ Aut C72244-C7:2(D4.5D4)448,430
C73(D4.5D4) = D4.5D28φ: D4.5D4/C8○D4C2 ⊆ Aut C72244-C7:3(D4.5D4)448,677
C74(D4.5D4) = C56.29D4φ: D4.5D4/C2×Q16C2 ⊆ Aut C72244C7:4(D4.5D4)448,726
C75(D4.5D4) = M4(2).16D14φ: D4.5D4/C8.C22C2 ⊆ Aut C72248-C7:5(D4.5D4)448,738


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