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Extensions 1→N→G→Q→1 with N=C32 and Q=C4.10D4

Direct product G=NxQ with N=C32 and Q=C4.10D4
dρLabelID
C32xC4.10D4144C3^2xC4.10D4288,319

Semidirect products G=N:Q with N=C32 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C32:(C4.10D4) = (C3xC12).D4φ: C4.10D4/C4 → D4 ⊆ Aut C32484C3^2:(C4.10D4)288,376
C32:2(C4.10D4) = C3:Dic3.D4φ: C4.10D4/C2xC4 → C4 ⊆ Aut C32484-C3^2:2(C4.10D4)288,428
C32:3(C4.10D4) = C12.14D12φ: C4.10D4/C2xC4 → C22 ⊆ Aut C32484C3^2:3(C4.10D4)288,208
C32:4(C4.10D4) = C12.71D12φ: C4.10D4/C2xC4 → C22 ⊆ Aut C32484-C3^2:4(C4.10D4)288,209
C32:5(C4.10D4) = C3xC12.47D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C32484C3^2:5(C4.10D4)288,258
C32:6(C4.10D4) = C12.20D12φ: C4.10D4/M4(2) → C2 ⊆ Aut C32144C3^2:6(C4.10D4)288,299
C32:7(C4.10D4) = C3xC12.10D4φ: C4.10D4/C2xQ8 → C2 ⊆ Aut C32484C3^2:7(C4.10D4)288,270
C32:8(C4.10D4) = (C6xC12).C4φ: C4.10D4/C2xQ8 → C2 ⊆ Aut C32144C3^2:8(C4.10D4)288,311


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