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Extensions 1→N→G→Q→1 with N=C32 and Q=C4.4D4

Direct product G=NxQ with N=C32 and Q=C4.4D4
dρLabelID
C32xC4.4D4144C3^2xC4.4D4288,821

Semidirect products G=N:Q with N=C32 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C32:(C4.4D4) = C4.4S3wrC2φ: C4.4D4/C4 → D4 ⊆ Aut C32248+C3^2:(C4.4D4)288,869
C32:2(C4.4D4) = Dic3.D12φ: C4.4D4/C2xC4 → C22 ⊆ Aut C3248C3^2:2(C4.4D4)288,500
C32:3(C4.4D4) = C12.27D12φ: C4.4D4/C2xC4 → C22 ⊆ Aut C3296C3^2:3(C4.4D4)288,508
C32:4(C4.4D4) = C62.33C23φ: C4.4D4/C2xC4 → C22 ⊆ Aut C3296C3^2:4(C4.4D4)288,511
C32:5(C4.4D4) = C12.28D12φ: C4.4D4/C2xC4 → C22 ⊆ Aut C3248C3^2:5(C4.4D4)288,512
C32:6(C4.4D4) = C62.77C23φ: C4.4D4/C2xC4 → C22 ⊆ Aut C3248C3^2:6(C4.4D4)288,555
C32:7(C4.4D4) = C62.83C23φ: C4.4D4/C2xC4 → C22 ⊆ Aut C3296C3^2:7(C4.4D4)288,561
C32:8(C4.4D4) = C62.85C23φ: C4.4D4/C2xC4 → C22 ⊆ Aut C3296C3^2:8(C4.4D4)288,563
C32:9(C4.4D4) = C62.95C23φ: C4.4D4/C23 → C22 ⊆ Aut C3248C3^2:9(C4.4D4)288,601
C32:10(C4.4D4) = C62.101C23φ: C4.4D4/C23 → C22 ⊆ Aut C3248C3^2:10(C4.4D4)288,607
C32:11(C4.4D4) = C3xC42:7S3φ: C4.4D4/C42 → C2 ⊆ Aut C3296C3^2:11(C4.4D4)288,646
C32:12(C4.4D4) = C122:6C2φ: C4.4D4/C42 → C2 ⊆ Aut C32144C3^2:12(C4.4D4)288,732
C32:13(C4.4D4) = C3xC23.11D6φ: C4.4D4/C22:C4 → C2 ⊆ Aut C3248C3^2:13(C4.4D4)288,656
C32:14(C4.4D4) = C62.229C23φ: C4.4D4/C22:C4 → C2 ⊆ Aut C32144C3^2:14(C4.4D4)288,742
C32:15(C4.4D4) = C3xC23.12D6φ: C4.4D4/C2xD4 → C2 ⊆ Aut C3248C3^2:15(C4.4D4)288,707
C32:16(C4.4D4) = C62.254C23φ: C4.4D4/C2xD4 → C2 ⊆ Aut C32144C3^2:16(C4.4D4)288,793
C32:17(C4.4D4) = C3xC12.23D4φ: C4.4D4/C2xQ8 → C2 ⊆ Aut C3296C3^2:17(C4.4D4)288,718
C32:18(C4.4D4) = C62.262C23φ: C4.4D4/C2xQ8 → C2 ⊆ Aut C32144C3^2:18(C4.4D4)288,804


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