Extensions 1→N→G→Q→1 with N=C7 and Q=C23.25D4

Direct product G=NxQ with N=C7 and Q=C23.25D4
dρLabelID
C7xC23.25D4224C7xC2^3.25D4448,835

Semidirect products G=N:Q with N=C7 and Q=C23.25D4
extensionφ:Q→Aut NdρLabelID
C7:1(C23.25D4) = (C8xD7):C4φ: C23.25D4/C4.Q8C2 ⊆ Aut C7224C7:1(C2^3.25D4)448,394
C7:2(C23.25D4) = C8.27(C4xD7)φ: C23.25D4/C2.D8C2 ⊆ Aut C7224C7:2(C2^3.25D4)448,414
C7:3(C23.25D4) = C28.45(C4:C4)φ: C23.25D4/C42:C2C2 ⊆ Aut C7224C7:3(C2^3.25D4)448,532
C7:4(C23.25D4) = C23.22D28φ: C23.25D4/C22xC8C2 ⊆ Aut C7224C7:4(C2^3.25D4)448,640


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