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Extensions 1→N→G→Q→1 with N=C7 and Q=C23.37C23

Direct product G=N×Q with N=C7 and Q=C23.37C23
dρLabelID
C7×C23.37C23224C7xC2^3.37C2^3448,1316

Semidirect products G=N:Q with N=C7 and Q=C23.37C23
extensionφ:Q→Aut NdρLabelID
C7⋊1(C23.37C23) = C42.274D14φ: C23.37C23/C2×C42 → C2 ⊆ Aut C7224C7:1(C2^3.37C2^3)448,923
C7⋊2(C23.37C23) = C42.88D14φ: C23.37C23/C42⋊C2 → C2 ⊆ Aut C7224C7:2(C2^3.37C2^3)448,970
C7⋊3(C23.37C23) = C42.232D14φ: C23.37C23/C4×Q8 → C2 ⊆ Aut C7224C7:3(C2^3.37C2^3)448,1031
C7⋊4(C23.37C23) = (Q8×Dic7)⋊C2φ: C23.37C23/C22⋊Q8 → C2 ⊆ Aut C7224C7:4(C2^3.37C2^3)448,1075
C7⋊5(C23.37C23) = C42.236D14φ: C23.37C23/C42.C2 → C2 ⊆ Aut C7224C7:5(C2^3.37C2^3)448,1141
C7⋊6(C23.37C23) = C42.241D14φ: C23.37C23/C4⋊Q8 → C2 ⊆ Aut C7224C7:6(C2^3.37C2^3)448,1181


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