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

Direct product G=NxQ with N=C32 and Q=D4:C4
dρLabelID
C32xD4:C4144C3^2xD4:C4288,320

Semidirect products G=N:Q with N=C32 and Q=D4:C4
extensionφ:Q→Aut NdρLabelID
C32:(D4:C4) = C2.AΓL1(F9)φ: D4:C4/C2 → SD16 ⊆ Aut C32248+C3^2:(D4:C4)288,841
C32:2(D4:C4) = C3:S3.2D8φ: D4:C4/C4 → D4 ⊆ Aut C32244C3^2:2(D4:C4)288,377
C32:3(D4:C4) = C62.3D4φ: D4:C4/C22 → D4 ⊆ Aut C3248C3^2:3(D4:C4)288,387
C32:4(D4:C4) = D12:3Dic3φ: D4:C4/C2xC4 → C22 ⊆ Aut C3296C3^2:4(D4:C4)288,210
C32:5(D4:C4) = C6.16D24φ: D4:C4/C2xC4 → C22 ⊆ Aut C3296C3^2:5(D4:C4)288,211
C32:6(D4:C4) = C6.17D24φ: D4:C4/C2xC4 → C22 ⊆ Aut C3248C3^2:6(D4:C4)288,212
C32:7(D4:C4) = C3:S3.5D8φ: D4:C4/D4 → C4 ⊆ Aut C32248+C3^2:7(D4:C4)288,430
C32:8(D4:C4) = C3xC6.D8φ: D4:C4/C4:C4 → C2 ⊆ Aut C3296C3^2:8(D4:C4)288,243
C32:9(D4:C4) = C62.113D4φ: D4:C4/C4:C4 → C2 ⊆ Aut C32144C3^2:9(D4:C4)288,284
C32:10(D4:C4) = C3xC2.D24φ: D4:C4/C2xC8 → C2 ⊆ Aut C3296C3^2:10(D4:C4)288,255
C32:11(D4:C4) = C62.84D4φ: D4:C4/C2xC8 → C2 ⊆ Aut C32144C3^2:11(D4:C4)288,296
C32:12(D4:C4) = C3xD4:Dic3φ: D4:C4/C2xD4 → C2 ⊆ Aut C3248C3^2:12(D4:C4)288,266
C32:13(D4:C4) = C62.116D4φ: D4:C4/C2xD4 → C2 ⊆ Aut C32144C3^2:13(D4:C4)288,307


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