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

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

Semidirect products G=N:Q with N=C7 and Q=C23.25D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C23.25D4) = (C8×D7)⋊C4φ: C23.25D4/C4.Q8 → C2 ⊆ Aut C7224C7:1(C2^3.25D4)448,394
C7⋊2(C23.25D4) = C8.27(C4×D7)φ: C23.25D4/C2.D8 → C2 ⊆ Aut C7224C7:2(C2^3.25D4)448,414
C7⋊3(C23.25D4) = C28.45(C4⋊C4)φ: C23.25D4/C42⋊C2 → C2 ⊆ Aut C7224C7:3(C2^3.25D4)448,532
C7⋊4(C23.25D4) = C23.22D28φ: C23.25D4/C22×C8 → C2 ⊆ Aut C7224C7:4(C2^3.25D4)448,640


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