Finite Group Databasebeta

← Group #11794542

Character table — Group #11794542

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121236666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444888812121212121212122424242424242424444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200002222-2-2-2-2000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2220000-2-2-2-22222000000000000000000000000
χ11222222222-122222222-1-1-1-12-122-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1-12-122-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1-12-122-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1-12-122-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ1522222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1622222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ1722222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-211111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ1822222222-122222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ1922222222-12-2-2-2-2-1-1-1-12222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−30000000000000000
χ2022222222-12-2-2-2-2-1-1-1-12222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−333330000000000000000
χ2122222222-12-2-2-2-2-1-1-1-12222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−33333333322-2-20000-1-1-1-11111−3−3−3−333330000000000000000
χ2222222222-12-2-2-2-2-1-1-1-12222-12-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333-2-22200001111-1-1-1-13333−3−3−3−30000000000000000
χ23222-22-2-2-22222-2-222-2-222-2-222-2-2-2-22222-2-2-2-2222-2-2-2-22000022-22222-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000002-200
χ24222-22-2-2-22222-2-222-2-222-2-222-2-2-2-22222-2-2-2-2222-2-2-2-22000022-22222-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000-2200
χ25222-22-2-2-222-2-22222-2-222-2-222-2-2-2-2-2-2-2-22222222-2-2-2-220000-2-22-2-2-2-22222200000000000000000000000000000000000000000000000000000000002i−2i00002i2i−2i−2i0000
χ26222-22-2-2-222-2-22222-2-222-2-222-2-2-2-2-2-2-2-22222222-2-2-2-220000-2-22-2-2-2-2222220000000000000000000000000000000000000000000000000000000000−2i2i0000−2i−2i2i2i0000
χ27222-22-2-2-22-1-2-22222-2-2-1-1112-1-2-211-2-2-2-22222-1-1-11111-1000011-11111-1-1-1-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000002i−2i33−3−3−i−iii0000
χ28222-22-2-2-22-1-2-22222-2-2-1-1112-1-2-211-2-2-2-22222-1-1-11111-1000011-11111-1-1-1-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000000000000000−2i2i−3−333ii−i−i0000
χ29222-22-2-2-22-1-2-22222-2-2-1-1112-1-2-211-2-2-2-22222-1-1-11111-1000011-11111-1-1-1-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000002i−2i−3−333−i−iii0000
χ30222-22-2-2-22-1-2-22222-2-2-1-1112-1-2-211-2-2-2-22222-1-1-11111-1000011-11111-1-1-1-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000000000000000−2i2i33−3−3ii−i−i0000
χ3122-22-2-22-22200002-22-22-22-2-2-22-22-20000000022-222-2-2-2−i2−i2i2i2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i−2i0022−2−22i2i−2i−2i000022−2−222−2−20000000000000000
χ3222-22-2-22-22200002-22-22-22-2-2-22-22-20000000022-222-2-2-2−i2−i2i2i2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i2i00−2−222−2i−2i2i2i0000−2−222−2−2220000000000000000
χ3322-22-2-22-22200002-22-22-22-2-2-22-22-20000000022-222-2-2-2i2i2−i2−i2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i−2i00−2−2222i2i−2i−2i0000−2−222−2−2220000000000000000
χ3422-22-2-22-22200002-22-22-22-2-2-22-22-20000000022-222-2-2-2i2i2−i2−i2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2i0022−2−2−2i−2i2i2i000022−2−222−2−20000000000000000
χ3522-22-2-22-2-120000-11-112-22-21-2-112-233−3−33−33−3-1-11-1-1111−i2−i2i2i200033−3−33−303−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232i−2i0022−2−2−i−iii−i3−i3i3i3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3622-22-2-22-2-120000-11-112-22-21-2-112-233−3−33−33−3-1-11-1-1111−i2−i2i2i200033−3−33−303−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−2i2i00−2−222ii−i−ii3i3−i3−i3−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ3722-22-2-22-2-120000-11-112-22-21-2-112-233−3−33−33−3-1-11-1-1111i2i2−i2−i200033−3−33−303−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232i−2i00−2−222−i−iii−i3−i3i3i3−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ3822-22-2-22-2-120000-11-112-22-21-2-112-233−3−33−33−3-1-11-1-1111i2i2−i2−i200033−3−33−303−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−2i2i0022−2−2ii−i−ii3i3−i3−i3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3922-22-2-22-2-120000-11-112-22-21-2-112-2−3−333−33−33-1-11-1-1111−i2−i2i2i2000−3−333−330−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72i−2i0022−2−2−i−iiii3i3−i3−i3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ4022-22-2-22-2-120000-11-112-22-21-2-112-2−3−333−33−33-1-11-1-1111−i2−i2i2i2000−3−333−330−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−2i2i00−2−222ii−i−i−i3−i3i3i3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ4122-22-2-22-2-120000-11-112-22-21-2-112-2−3−333−33−33-1-11-1-1111i2i2−i2−i2000−3−333−330−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72i−2i00−2−222−i−iiii3i3−i3−i3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ4222-22-2-22-2-120000-11-112-22-21-2-112-2−3−333−33−33-1-11-1-1111i2i2−i2−i2000−3−333−330−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−2i2i0022−2−2ii−i−i−i3−i3i3i3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ432-22-2-2-222220000-22-22-22-2-2-2-22-222000000002-222-22-2-22−22−20000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2002-22−22−200002-22-22−22−22−22−20000000000000000
χ442-22-2-2-222220000-22-22-22-2-2-2-22-222000000002-222-22-2-22−22−20000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−200-22−22−220000-22-22−22−22−22−220000000000000000
χ452-22-2-2-222220000-22-22-22-2-2-2-22-222000000002-222-22-2-2−22−22000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22002-2−22−2200002-22-2−22−22−22−220000000000000000
χ462-22-2-2-222220000-22-22-22-2-2-2-22-222000000002-222-22-2-2−22−22000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2200-222−22−20000-22-222−22−22−22−20000000000000000
χ472-22-2-2-222-1200001-11-1-22-2-21-2-11223−33−33−3−33-11-1-11-1112−22−20003−33−33−30−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7002-22−22−23−33−3-11-11ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ482-22-2-2-222-1200001-11-1-22-2-21-2-11223−33−33−3−33-11-1-11-1112−22−20003−33−33−30−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700-22−22−22−33−331-11-1−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
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χ10544-4-4-44-44-2-20000-222-2-222-2222-22-2−23−23232323−2323−2311-1-1-111-1000000033−3−3−330−3300000000−6−66666−6−6−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000000000000000000
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χ1084-444-44-4-44-20000-444-42-2-2-2-42-442200000000-22-22-22-22000000000000000000000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i60000000000000000000000000000000000000000
χ1094-444-44-4-4-2400002-2-22-44442-42-2-4-423−2323−23−232323−23-22-22-22-22000000023−2323−23−2323023−23000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-444-44-4-4-2400002-2-22-44442-42-2-4-4−2323−232323−23−2323-22-22-22-220000000−2323−232323−230−2323000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-44-4-4-2-200002-2-222-2-2-2222-22223−2323−23−232323−231-11-11-11-10000000−33−333−30−3300000000i6−i6i6−i6−i6i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000000000
χ1124-444-44-4-4-2-200002-2-222-2-2-2222-22223−2323−23−232323−231-11-11-11-10000000−33−333−30−3300000000−i6i6−i6i6i6−i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000000000
χ1134-444-44-4-4-2-200002-2-222-2-2-2222-222−2323−232323−23−23231-11-11-11-100000003−33−3−3303−300000000i6−i6i6−i6−i6i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000000000
χ1144-444-44-4-4-2-200002-2-222-2-2-2222-222−2323−232323−23−23231-11-11-11-100000003−33−3−3303−300000000−i6i6−i6i6i6−i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000000000
χ1154-44-4-4-4444-20000-44-442-222-424-4-2-200000000-22-2-22-22222−2222−2200000000000022−2222−2222−2222−22−22−22−22−22−22−22−22−22−22−22−22−220000000000000000000000000000000000000000
χ1164-44-4-4-4444-20000-44-442-222-424-4-2-200000000-22-2-22-222−2222−2222000000000000−2222−2222−2222−22222−22−22−22−22−22−22−22−22−22−22−22−20000000000000000000000000000000000000000
χ1174-44-4-4-444-2-200002-22-22-22222-22-2-223−2323−2323−23−23231-111-11-1-122−2222−22000−33−33−3303−32ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ7−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000000000000000000
χ1184-44-4-4-444-2-200002-22-22-22222-22-2-223−2323−2323−23−23231-111-11-1-1−2222−2222000−33−33−3303−3−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ72−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000000000000000000
χ1194-44-4-4-444-2-200002-22-22-22222-22-2-2−2323−2323−232323−231-111-11-1-122−2222−220003−33−33−30−332ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ23−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000000000000000000000000000
χ1204-44-4-4-444-2-200002-22-22-22222-22-2-2−2323−2323−232323−231-111-11-1-1−2222−22220003−33−33−30−33−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ232−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000000000000000000
χ1214-4-444-4-444-2-44-44-4-44422-224-2-4-42-24-4-44-4-444-2222-2-22-200002-22-222-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444-4-44-244-44-422-2-2-4-44-4-2422-442-2-22-2-222-2222-2-22-200004-442-2-22-2-2-422000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-44-24-44-4422-2-2-4-44-4-2422-44-222-222-2-2-2222-2-22-20000-44-4-222-2224-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-4-444-4-44-2-24-44-422-2-222-22-2-2222-22-2-22-2-2221-1-1-111-110000-22-2-111-1112-1-10000000023−23−2323−232323−23−333−33−3−33−333−33−3−330000000000000000000000000000000000000000
χ1254-4-444-4-44-2-24-44-422-2-222-22-2-2222-22-2-22-2-2221-1-1-111-110000-22-2-111-1112-1-100000000−232323−2323−23−23233−3−33−333−33−3−33−333−30000000000000000000000000000000000000000
χ1264-4-444-4-44-2-2-44-4422-2-222-22-2-2222-2-222-222-2-21-1-1-111-1100002-221-1-11-1-1-21100000000000000003-3-33-333-3-333-33-3-330000000000000000000000000000000000000000
χ1274-4-444-4-44-2-2-44-4422-2-222-22-2-2222-2-222-222-2-21-1-1-111-1100002-221-1-11-1-1-2110000000000000000-333-33-3-333-3-33-333-30000000000000000000000000000000000000000
χ1284-4-4-4444-44-24-4-44-4-4-4-4222-24-244-22-444-4-4-444-222-222-2-20000-2222-2-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4-4444-4-2-24-4-442222222-2-2-2-2-2-222-2-2222-2-21-1-11-1-1110000-222-111-1-1-1-211−2i32i32i3−2i32i3−2i3−2i32i300000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000
χ1304-4-4-4444-4-2-24-4-442222222-2-2-2-2-2-222-2-2222-2-21-1-11-1-1110000-222-111-1-1-1-2112i3−2i3−2i32i3−2i32i32i3−2i300000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ1314-4-4-4444-4-2-2-444-42222222-2-2-2-2-2-22-222-2-2-2221-1-11-1-1114i−4i−4i4i2-2-21-1-11112-1-1−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2ii−i−iii−i−iii−i−iii−i−ii0000000000000000000000000000000000000000
χ1324-4-4-4444-4-2-2-444-42222222-2-2-2-2-2-22-222-2-2-2221-1-11-1-111−4i4i4i−4i2-2-21-1-11112-1-12i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−iii−i−iii−i−iii−i−iii−i0000000000000000000000000000000000000000

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