Extensions 1→N→G→Q→1 with N=C7 and Q=C23.23D4

Direct product G=NxQ with N=C7 and Q=C23.23D4
dρLabelID
C7xC23.23D4224C7xC2^3.23D4448,794

Semidirect products G=N:Q with N=C7 and Q=C23.23D4
extensionφ:Q→Aut NdρLabelID
C7:1(C23.23D4) = (C2xC4):9D28φ: C23.23D4/C2.C42C2 ⊆ Aut C7224C7:1(C2^3.23D4)448,199
C7:2(C23.23D4) = C24.12D14φ: C23.23D4/C2xC22:C4C2 ⊆ Aut C7224C7:2(C2^3.23D4)448,490
C7:3(C23.23D4) = C23.45D28φ: C23.23D4/C2xC22:C4C2 ⊆ Aut C7224C7:3(C2^3.23D4)448,492
C7:4(C23.23D4) = C23.28D28φ: C23.23D4/C23xC4C2 ⊆ Aut C7224C7:4(C2^3.23D4)448,747
C7:5(C23.23D4) = C24.18D14φ: C23.23D4/C22xD4C2 ⊆ Aut C7224C7:5(C2^3.23D4)448,754


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