Finite Group Databasebeta

← Group #13144777

Character table — Group #13144777

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111222222222222222444666666666666666688888812121212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636727272727272
order12336624466881212121224242424824243333666612121212121212122466121266661212121224242424242424242424242424242424666666661212121212121212161616164848484848484848226666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1-11-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ6111111-1-11-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111
χ7111111-1-11-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-1-111
χ8111111-1-11-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-111-1-1
χ92222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ102222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000
χ11222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000
χ12222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000
χ13222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000
χ14222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000
χ15222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000
χ16222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000
χ1722222222222-2-22222-2-2-2-2-2-2-2222222222222222200000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ1822222222222-2-22222-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-10000002-1-1-12-1-1-1-2-2111111-2-211111100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000000000
χ1922222222222-2-22222-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-10000002-1-1-12-1-1-1-2-2111111-2-211111100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000000000
χ2022222222222-2-22222-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000-12-1-1-12-1-111-2-2111111-2-21111−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000000000
χ2122222222222-2-22222-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000-12-1-1-12-1-111-2-2111111-2-21111i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3000000000000000000
χ2222222222222-2-22222-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000-1-12-1-1-12-11111-2-2111111-2-211−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000000000
χ2322222222222-2-22222-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000-1-12-1-1-12-11111-2-2111111-2-211i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3000000000000000000
χ2422222222222-2-22222-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000-1-1-12-1-1-12111111-2-2111111-2-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300000000000000000000
χ2522222222222-2-22222-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000-1-1-12-1-1-12111111-2-2111111-2-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300000000000000000000
χ262222222-2-22200-2-2-2-2000000022222222-2-2-2-2-2-2-2-20000002222-2-2-2-2000000000000000000000000000000002−22−222−2−222−2−2000000
χ272222222-2-22200-2-2-2-2000000022222222-2-2-2-2-2-2-2-20000002222-2-2-2-200000000000000000000000000000000−22−22−2−222−2−222000000
χ28222222-22-2-2-20022-2-200000002222222222222222000000-2-2-2-2-2-2-2-2000000000000000000000000000000002−2−2222−2−2−2−222000000
χ29222222-22-2-2-20022-2-200000002222222222222222000000-2-2-2-2-2-2-2-200000000000000000000000000000000−222−2−2−22222−2−2000000
χ30222222-2-22-2-222-2-2222222-2-2-22-1-1-12-1-1-1-2-21111112-222-2-2-21112-1-1-122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000000000
χ31222222-2-22-2-222-2-2222222-2-2-22-1-1-12-1-1-1-2-2111111-22-2-222-21112-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000000000000000000
χ32222222-2-22-2-222-2-2222222-2-2-2-12-1-1-12-1-111-2-211112-222-2-21-211-12-1-1-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000000000
χ33222222-2-22-2-222-2-2222222-2-2-2-12-1-1-12-1-111-2-21111-22-2-2221-211-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1000000000000000000
χ34222222-2-22-2-222-2-2222222-2-2-2-1-12-1-1-12-11111-2-2112-222-2-211-21-1-12-1-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000000000
χ35222222-2-22-2-222-2-2222222-2-2-2-1-12-1-1-12-11111-2-211-22-2-22211-21-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-1000000000000000000
χ36222222-2-22-2-222-2-2222222-2-2-2-1-1-12-1-1-12111111-2-22-222-2-2111-2-1-1-12-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000
χ37222222-2-22-2-222-2-2222222-2-2-2-1-1-12-1-1-12111111-2-2-22-2-222111-2-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122000000000000000000
χ38222222-2-22-2-2-2-2-2-222-2-2-2-222222222222-2-2-2-2-2-2-2-2000000-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ39222222-2-22-2-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-1-2-2111111000000-21112-1-1-1-2-211111122-1-1-1-1-1-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3000000000000000000
χ40222222-2-22-2-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-1-2-2111111000000-21112-1-1-1-2-211111122-1-1-1-1-1-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3000000000000000000
χ41222222-2-22-2-2-2-2-2-222-2-2-2-2222-12-1-1-12-1-111-2-211110000001-211-12-1-111-2-21111-1-122-1-1-1-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i3000000000000000000
χ42222222-2-22-2-2-2-2-2-222-2-2-2-2222-12-1-1-12-1-111-2-211110000001-211-12-1-111-2-21111-1-122-1-1-1-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i3000000000000000000
χ43222222-2-22-2-2-2-2-2-222-2-2-2-2222-1-12-1-1-12-11111-2-21100000011-21-1-12-11111-2-211-1-1-1-122-1-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i3000000000000000000
χ44222222-2-22-2-2-2-2-2-222-2-2-2-2222-1-12-1-1-12-11111-2-21100000011-21-1-12-11111-2-211-1-1-1-122-1-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i3000000000000000000
χ45222222-2-22-2-2-2-2-2-222-2-2-2-2222-1-1-12-1-1-12111111-2-2000000111-2-1-1-12111111-2-2-1-1-1-1-1-122−i3i3−i3i3i3−i300i3−i3i3−i3−i3i300000000000000000000
χ46222222-2-22-2-2-2-2-2-222-2-2-2-2222-1-1-12-1-1-12111111-2-2000000111-2-1-1-12111111-2-2-1-1-1-1-1-122i3−i3i3−i3−i3i300−i3i3−i3i3i3−i300000000000000000000
χ4733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ4833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i32
χ4933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i320000000000000000-3-33+3i323−3i323+3i323−3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ5033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i320000000000000000-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32
χ5133−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i32333+3i323−3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-33+3i323−3i3200000000000000003-3−3−3i32−3+3i323+3i323−3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321-1−1−i32−1+i321+i321−i32
χ5233−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i32333+3i323−3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-33+3i323−3i3200000000000000003-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-111+i321−i32−1−i32−1+i32
χ5333−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i32333+3i323−3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-33+3i323−3i320000000000000000-333+3i323−3i32−3−3i32−3+3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-111+i321−i32−1−i32−1+i32
χ5433−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i32333+3i323−3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-33+3i323−3i320000000000000000-333+3i323−3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32
χ5533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000000000000033−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ5633−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000000000000033−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i32
χ5733−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i320000000000000000-3-33−3i323+3i323−3i323+3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ5833−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i320000000000000000-3-33−3i323+3i323−3i323+3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32
χ5933−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i32333−3i323+3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-33−3i323+3i3200000000000000003-3−3+3i32−3−3i323−3i323+3i32000000000000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321-1−1+i32−1−i321−i321+i32
χ6033−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i32333−3i323+3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-33−3i323+3i3200000000000000003-3−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-111−i321+i32−1+i32−1−i32
χ6133−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i32333−3i323+3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-33−3i323+3i320000000000000000-333−3i323+3i32−3+3i32−3−3i32000000000000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-111−i321+i32−1+i32−1−i32
χ6233−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i32333−3i323+3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-33−3i323+3i320000000000000000-333−3i323+3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32
χ634444444-4-44400-4-4-4-400000004-2-2-24-2-2-2-4-42222220000004-2-2-2-422200000000000000000000000000000000000000000000000000
χ644444444-4-44400-4-4-4-40000000-24-2-2-24-2-222-4-42222000000-24-2-22-42200000000000000000000000000000000000000000000000000
χ654444444-4-44400-4-4-4-40000000-2-24-2-2-24-22222-4-422000000-2-24-222-4200000000000000000000000000000000000000000000000000
χ664444444-4-44400-4-4-4-40000000-2-2-24-2-2-24222222-4-4000000-2-2-24222-400000000000000000000000000000000000000000000000000
χ67444444-44-4-4-40044-4-400000004-2-2-24-2-2-244-2-2-2-2-2-2000000-4222-422200000000000000000000000000000000000000000000000000
χ68444444-44-4-4-40044-4-40000000-24-2-2-24-2-2-2-244-2-2-2-20000002-4222-42200000000000000000000000000000000000000000000000000
χ69444444-44-4-4-40044-4-40000000-2-24-2-2-24-2-2-2-2-244-2-200000022-4222-4200000000000000000000000000000000000000000000000000
χ70444444-44-4-4-40044-4-40000000-2-2-24-2-2-24-2-2-2-2-2-244000000222-4222-400000000000000000000000000000000000000000000000000
χ714-444-4-40000022−22000022−2222−220004444-4-4-4-4000000000000000000000022−2222−2222−2222−22000000000000000000000000000000000000000000
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χ844-444-4-400000−22220000−2222−2222000-24-2-22-422−232300−232323−23000000000000002−2−22222−22−26−6006−6−660000000000000000000000000000000000
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χ874-444-4-400000−22220000−2222−2222000-2-2-24222-423−2323−23−232300000000000000002−22−22−2−2222−66−666−6000000000000000000000000000000000000
χ884-444-4-400000−22220000−2222−2222000-2-2-24222-4−2323−232323−2300000000000000002−22−22−2−22226−66−6−66000000000000000000000000000000000000
χ8966−3−3i3−3+3i3−3−3i3−3+3i3666−3−3i3−3+3i3-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33+3i33−3i33−3i3-63+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9066−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i3003+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000002−22−2−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000
χ9166−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i3003+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000−22−22ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000
χ9266−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i300−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000002−2−22−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23000000
χ9366−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i300−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000−222−2ζ7−ζ13−ζ5+ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23ζ7−ζ13−ζ5+ζ23000000
χ9466−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i3-6-63+3i33−3i3−3−3i3−3+3i33+3i33+3i33−3i33−3i36−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9566−3+3i3−3−3i3−3+3i3−3−3i3666−3+3i3−3−3i3-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33−3i33+3i33+3i3-63−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9666−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i3003−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000002−22−2ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13000000
χ9766−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i3003−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000−22−22−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000
χ9866−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i300−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000002−2−22ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13000000
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χ10066−3+3i3−3−3i3−3+3i3−3−3i3-6-663−3i33+3i3-6-63−3i33+3i3−3+3i3−3−3i33−3i33−3i33+3i33+3i36−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-12−6−6i3−6+6i36+6i36−6i30000062−620000−6ζ7+6ζ136ζ7−6ζ136ζ5−6ζ23−6ζ5+6ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-12−6−6i3−6+6i36+6i36−6i300000−626200006ζ7−6ζ13−6ζ7+6ζ13−6ζ5+6ζ236ζ5−6ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12−6+6i3−6−6i36−6i36+6i30000062−6200006ζ5−6ζ23−6ζ5+6ζ23−6ζ7+6ζ136ζ7−6ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12−6+6i3−6−6i36−6i36+6i300000−62620000−6ζ5+6ζ236ζ5−6ζ236ζ7−6ζ13−6ζ7+6ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.