Extensions 1→N→G→Q→1 with N=C51 and Q=D4

Direct product G=N×Q with N=C51 and Q=D4
dρLabelID
D4×C512042D4xC51408,31

Semidirect products G=N:Q with N=C51 and Q=D4
extensionφ:Q→Aut NdρLabelID
C511D4 = C51⋊D4φ: D4/C2C22 ⊆ Aut C512044-C51:1D4408,10
C512D4 = C3⋊D68φ: D4/C2C22 ⊆ Aut C512044+C51:2D4408,11
C513D4 = C17⋊D12φ: D4/C2C22 ⊆ Aut C512044+C51:3D4408,12
C514D4 = D204φ: D4/C4C2 ⊆ Aut C512042+C51:4D4408,27
C515D4 = C3×D68φ: D4/C4C2 ⊆ Aut C512042C51:5D4408,17
C516D4 = C17×D12φ: D4/C4C2 ⊆ Aut C512042C51:6D4408,22
C517D4 = C517D4φ: D4/C22C2 ⊆ Aut C512042C51:7D4408,29
C518D4 = C3×C17⋊D4φ: D4/C22C2 ⊆ Aut C512042C51:8D4408,19
C519D4 = C17×C3⋊D4φ: D4/C22C2 ⊆ Aut C512042C51:9D4408,24


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