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Extensions 1→N→G→Q→1 with N=C7 and Q=C23.38C23

Direct product G=N×Q with N=C7 and Q=C23.38C23
dρLabelID
C7×C23.38C23224C7xC2^3.38C2^3448,1319

Semidirect products G=N:Q with N=C7 and Q=C23.38C23
extensionφ:Q→Aut NdρLabelID
C7⋊1(C23.38C23) = C42.92D14φ: C23.38C23/C42⋊C2 → C2 ⊆ Aut C7224C7:1(C2^3.38C2^3)448,979
C7⋊2(C23.38C23) = C14.162- 1+4φ: C23.38C23/C22⋊Q8 → C2 ⊆ Aut C7224C7:2(C2^3.38C2^3)448,1081
C7⋊3(C23.38C23) = C14.792- 1+4φ: C23.38C23/C22.D4 → C2 ⊆ Aut C7224C7:3(C2^3.38C2^3)448,1101
C7⋊4(C23.38C23) = C42.141D14φ: C23.38C23/C4.4D4 → C2 ⊆ Aut C7224C7:4(C2^3.38C2^3)448,1128
C7⋊5(C23.38C23) = C42.171D14φ: C23.38C23/C4⋊Q8 → C2 ⊆ Aut C7224C7:5(C2^3.38C2^3)448,1177
C7⋊6(C23.38C23) = C14.442- 1+4φ: C23.38C23/C22×Q8 → C2 ⊆ Aut C7224C7:6(C2^3.38C2^3)448,1269
C7⋊7(C23.38C23) = C14.1052- 1+4φ: C23.38C23/C2×C4○D4 → C2 ⊆ Aut C7224C7:7(C2^3.38C2^3)448,1278


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