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

Semidirect products G=N:Q with N=C7 and Q=C23.38C23
extensionφ:Q→Aut NdρLabelID
C71(C23.38C23) = C42.92D14φ: C23.38C23/C42⋊C2C2 ⊆ Aut C7224C7:1(C2^3.38C2^3)448,979
C72(C23.38C23) = C14.162- 1+4φ: C23.38C23/C22⋊Q8C2 ⊆ Aut C7224C7:2(C2^3.38C2^3)448,1081
C73(C23.38C23) = C14.792- 1+4φ: C23.38C23/C22.D4C2 ⊆ Aut C7224C7:3(C2^3.38C2^3)448,1101
C74(C23.38C23) = C42.141D14φ: C23.38C23/C4.4D4C2 ⊆ Aut C7224C7:4(C2^3.38C2^3)448,1128
C75(C23.38C23) = C42.171D14φ: C23.38C23/C4⋊Q8C2 ⊆ Aut C7224C7:5(C2^3.38C2^3)448,1177
C76(C23.38C23) = C14.442- 1+4φ: C23.38C23/C22×Q8C2 ⊆ Aut C7224C7:6(C2^3.38C2^3)448,1269
C77(C23.38C23) = C14.1052- 1+4φ: C23.38C23/C2×C4○D4C2 ⊆ Aut C7224C7:7(C2^3.38C2^3)448,1278