Extensions 1→N→G→Q→1 with N=C17 and Q=M4(2)

Direct product G=NxQ with N=C17 and Q=M4(2)
dρLabelID
M4(2)xC171362M4(2)xC17272,24

Semidirect products G=N:Q with N=C17 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C17:1M4(2) = D34.4C4φ: M4(2)/C4C4 ⊆ Aut C171364C17:1M4(2)272,30
C17:2M4(2) = C17:M4(2)φ: M4(2)/C22C4 ⊆ Aut C171364-C17:2M4(2)272,34
C17:3M4(2) = C8:D17φ: M4(2)/C8C2 ⊆ Aut C171362C17:3M4(2)272,5
C17:4M4(2) = C68.4C4φ: M4(2)/C2xC4C2 ⊆ Aut C171362C17:4M4(2)272,10


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