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Extensions 1→N→G→Q→1 with N=C32 and Q=C8.C22

Direct product G=NxQ with N=C32 and Q=C8.C22
dρLabelID
C32xC8.C22144C3^2xC8.C2^2288,834

Semidirect products G=N:Q with N=C32 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C32:1(C8.C22) = C32:Q16:C2φ: C8.C22/C4 → D4 ⊆ Aut C32484C3^2:1(C8.C2^2)288,874
C32:2(C8.C22) = C62.15D4φ: C8.C22/C22 → D4 ⊆ Aut C32484-C3^2:2(C8.C2^2)288,887
C32:3(C8.C22) = C24.3D6φ: C8.C22/C8 → C22 ⊆ Aut C32964-C3^2:3(C8.C2^2)288,448
C32:4(C8.C22) = Dic12:S3φ: C8.C22/C8 → C22 ⊆ Aut C32484C3^2:4(C8.C2^2)288,449
C32:5(C8.C22) = D12.4D6φ: C8.C22/C8 → C22 ⊆ Aut C32484C3^2:5(C8.C2^2)288,459
C32:6(C8.C22) = D12.32D6φ: C8.C22/C2xC4 → C22 ⊆ Aut C32484C3^2:6(C8.C2^2)288,475
C32:7(C8.C22) = D12.29D6φ: C8.C22/C2xC4 → C22 ⊆ Aut C32484-C3^2:7(C8.C2^2)288,479
C32:8(C8.C22) = Dic6.29D6φ: C8.C22/C2xC4 → C22 ⊆ Aut C32484C3^2:8(C8.C2^2)288,481
C32:9(C8.C22) = Dic6.19D6φ: C8.C22/D4 → C22 ⊆ Aut C32488-C3^2:9(C8.C2^2)288,577
C32:10(C8.C22) = Dic6.D6φ: C8.C22/D4 → C22 ⊆ Aut C32488-C3^2:10(C8.C2^2)288,579
C32:11(C8.C22) = D12.11D6φ: C8.C22/Q8 → C22 ⊆ Aut C32968-C3^2:11(C8.C2^2)288,591
C32:12(C8.C22) = Dic6.10D6φ: C8.C22/Q8 → C22 ⊆ Aut C32488+C3^2:12(C8.C2^2)288,593
C32:13(C8.C22) = D12.24D6φ: C8.C22/Q8 → C22 ⊆ Aut C32968-C3^2:13(C8.C2^2)288,594
C32:14(C8.C22) = Dic6.22D6φ: C8.C22/Q8 → C22 ⊆ Aut C32488+C3^2:14(C8.C2^2)288,596
C32:15(C8.C22) = D12.15D6φ: C8.C22/Q8 → C22 ⊆ Aut C32488-C3^2:15(C8.C2^2)288,599
C32:16(C8.C22) = C3xC8.D6φ: C8.C22/M4(2) → C2 ⊆ Aut C32484C3^2:16(C8.C2^2)288,680
C32:17(C8.C22) = C24.5D6φ: C8.C22/M4(2) → C2 ⊆ Aut C32144C3^2:17(C8.C2^2)288,766
C32:18(C8.C22) = C3xD4.D6φ: C8.C22/SD16 → C2 ⊆ Aut C32484C3^2:18(C8.C2^2)288,686
C32:19(C8.C22) = C24.32D6φ: C8.C22/SD16 → C2 ⊆ Aut C32144C3^2:19(C8.C2^2)288,772
C32:20(C8.C22) = C3xQ16:S3φ: C8.C22/Q16 → C2 ⊆ Aut C32964C3^2:20(C8.C2^2)288,689
C32:21(C8.C22) = C24.35D6φ: C8.C22/Q16 → C2 ⊆ Aut C32144C3^2:21(C8.C2^2)288,775
C32:22(C8.C22) = C3xQ8.11D6φ: C8.C22/C2xQ8 → C2 ⊆ Aut C32484C3^2:22(C8.C2^2)288,713
C32:23(C8.C22) = C62.134D4φ: C8.C22/C2xQ8 → C2 ⊆ Aut C32144C3^2:23(C8.C2^2)288,799
C32:24(C8.C22) = C3xQ8.14D6φ: C8.C22/C4oD4 → C2 ⊆ Aut C32484C3^2:24(C8.C2^2)288,722
C32:25(C8.C22) = C62.75D4φ: C8.C22/C4oD4 → C2 ⊆ Aut C32144C3^2:25(C8.C2^2)288,808


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