Extensions 1→N→G→Q→1 with N=C7 and Q=C23.7D4

Direct product G=N×Q with N=C7 and Q=C23.7D4
dρLabelID
C7×C23.7D41124C7xC2^3.7D4448,866

Semidirect products G=N:Q with N=C7 and Q=C23.7D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C23.7D4) = C23.5D28φ: C23.7D4/C23⋊C4 → C2 ⊆ Aut C71128-C7:1(C2^3.7D4)448,276
C7⋊2(C23.7D4) = C22⋊C4⋊D14φ: C23.7D4/C22.D4 → C2 ⊆ Aut C71124C7:2(C2^3.7D4)448,587
C7⋊3(C23.7D4) = 2+ 1+4.2D7φ: C23.7D4/2+ 1+4 → C2 ⊆ Aut C71128-C7:3(C2^3.7D4)448,777


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