Finite Group Databasebeta

← Group #13155738

Character table — Group #13155738

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order1244233346666612121212121212128888333666666666121212121212121212121212444488121212121212121224242424242424242424242436666121212121288121212121212121212121212242424242424242424242424242488882424242424242424242424242424224466121261288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ911-1-1-111111-1-111-1-1-1-1-1-111ii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−iii−i−i1-1-1-11111-1-1i−iiiiiii−i−i−i−i−i−ii−iii−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−iii−i−i11-1-111-1-11-1i−i
χ1011-1-1-111111-1-111-1-1-1-1-1-111ii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−iii−i−i1-1-1-11111-1-1−iiiiiiii−i−i−i−i−i−ii−i−i−iiiiiii−i−i−i−i11-1-11111-1-1-1-1−ii−i−iii-1-111-1-111-11−ii
χ1111-1-1-111111-1-111-1-1-1-1-1-111ii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1−i−iiii−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i1-1-1-11111-1-1i−i−i−i−i−i−i−iiiiiiii−iii−i−iiiii−i−i−i−i-1-111-1-1-1-11111i−iii−i−i1-1-1111-1-1-11−ii
χ1211-1-1-111111-1-111-1-1-1-1-1-111ii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1−i−iiii−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i1-1-1-11111-1-1−ii−i−i−i−i−i−iiiiiiii−i−i−iiiiiii−i−i−i−i-1-111-1-1-1-11111−ii−i−iii-111-1-1-1111-1i−i
χ1311-1-1-111111-1-111-1-1-1-1-1-111−i−iii111-1-1-1111-1-1-1111111-1-1-1-1-1-1ii−i−i−iiiiii−i−i−i−i−i−i−i−iiiii−i−iii1-1-1-11111-1-1i−iiiiiii−i−i−i−i−i−i−iiii−i−i−i−i−i−iiiii-1-111-1-1-1-11111i−iii−i−i-111-1-1-1111-1−ii
χ1411-1-1-111111-1-111-1-1-1-1-1-111−i−iii111-1-1-1111-1-1-1111111-1-1-1-1-1-1ii−i−i−iiiiii−i−i−i−i−i−i−i−iiiii−i−iii1-1-1-11111-1-1−iiiiiiii−i−i−i−i−i−i−ii−i−iii−i−i−i−iiiii-1-111-1-1-1-11111−ii−i−iii1-1-1111-1-1-11i−i
χ1511-1-1-111111-1-111-1-1-1-1-1-111−i−iii111-1-1-1111-1-1-1111111-1-1-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii−i−iii1-1-1-11111-1-1i−i−i−i−i−i−i−iiiiiii−iiii−i−i−i−i−i−iiiii11-1-11111-1-1-1-1i−iii−i−i-1-111-1-111-11i−i
χ1611-1-1-111111-1-111-1-1-1-1-1-111−i−iii111-1-1-1111-1-1-1111111-1-1-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii−i−iii1-1-1-11111-1-1−ii−i−i−i−i−i−iiiiiii−ii−i−iii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−i−iii11-1-111-1-11-1−ii
χ172222222-122222-12222-1-12222222-1-1-1-1-12-1-12222-122-1-122-1-1-1-10000220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-12020-1-1-1-10000
χ182222222-122222-12222-1-12222222-1-1-1-1-12-1-12222-122-1-122-1-1-1-10000220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000000-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111-20-2011110000
χ192222222-122222-12222-1-122-2-2-2-22-1-1-1-1-12-1-12222-122-1-122-1-1-1-10000-2-200000000-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-12200000000000011-1-1-1-11111111100000000000022-1-1-1-1-20-2011110000
χ202222222-122222-12222-1-122-2-2-2-22-1-1-1-1-12-1-12222-122-1-122-1-1-1-10000-2-200000000-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-2-200000000000011111111111111000000000000-2-211112020-1-1-1-10000
χ21222222-122222-1222-1-122220000-12-1222-12-1-1-1-1-12-1-122-1-122-1-122220022222222000000000000-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100222200000000000000000000-1-1-1-1-1-102020000-1-100
χ22222222-122222-1222-1-122220000-12-1222-12-1-1-1-1-12-1-122-1-122-1-122220022222222000000000000-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000000000000000001111110-20-200001100
χ23222222-122222-1222-1-122220000-12-1222-12-1-1-1-1-12-1-122-1-122-1-1-2-2-2-200-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-12211111111111100222200000000000000000000-1-1-1-1-1-10-20-200001100
χ24222222-122222-1222-1-122220000-12-1222-12-1-1-1-1-12-1-122-1-122-1-1-2-2-2-200-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-2-211111111111100-2-2-2-20000000000000000000011111102020000-1-100
χ2522222-1222-1-1-122-1-12222-1-12222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-10022-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ2622222-1222-1-1-122-1-12222-1-12222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-100-2-21111-2-21111220000-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000000
χ2722222-1222-1-1-122-1-12222-1-1-2-2-2-2-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1222222-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2-12-1-1-12-1-1-1-10022-1-1-1-122-1-1-1-1-2-2000011111111-2-2-2-211111111000000000000000000
χ2822222-1222-1-1-122-1-12222-1-1-2-2-2-2-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-21111111111111111-2-2-2-2-12-1-1-12-1-1-1-100-2-21111-2-21111-2-20000111111112222-1-1-1-1-1-1-1-1000000000000000000
χ292222-2222-22-2-222222222-2-22222222-2-2-2222-2-2-2-2-2-2-2-2-22222220000-2-20000000022-2-222-2-222222-2-2-22-2-2-22200000000000000-2-2000022-2-222-2-2000000000000000000000000000000
χ302222-2222-22-2-222222222-2-2-2-2-2-2222-2-2-2222-2-2-2-2-2-2-2-2-222222200002200000000-2-222-2-222-2-2-2-22-2-2-22-2-2-22200000000000000220000-2-222-2-222000000000000000000000000000000
χ312222-222-1-22-2-22-12222-1-1-2-222222-1-11112-1-1-2-2-2-21-2-21122-1-1-1-10000-2-20000000022-2-222-2-2-1-1-1-1-1111-1111-1-10000000000000011−i3i3−i3i3-1-111-1-11100000000000000−i3i3−i3i30000−i3i3−i3i30000
χ322222-222-1-22-2-22-12222-1-1-2-222222-1-11112-1-1-2-2-2-21-2-21122-1-1-1-10000-2-20000000022-2-222-2-2-1-1-1-1-1111-1111-1-10000000000000011i3−i3i3−i3-1-111-1-11100000000000000i3−i3i3−i30000i3−i3i3−i30000
χ332222-222-1-22-2-22-12222-1-1-2-2-2-2-2-22-1-11112-1-1-2-2-2-21-2-21122-1-1-1-100002200000000-2-222-2-2221111-1111-1111-1-100000000000000-1-1−i3i3−i3i311-1-111-1-100000000000000−i3i3−i3i30000i3−i3i3−i30000
χ342222-222-1-22-2-22-12222-1-1-2-2-2-2-2-22-1-11112-1-1-2-2-2-21-2-21122-1-1-1-100002200000000-2-222-2-2221111-1111-1111-1-100000000000000-1-1i3−i3i3−i311-1-111-1-100000000000000i3−i3i3−i30000−i3i3−i3i30000
χ352222-2-122-2-11122-1-12222112222-1-12-211-1-12-211-2-21111-1-1-1-1220000-2-233−3−333−3−3-1-111-1-1112222-1-211-1-211-1-1000033−3−30033−3−3-2-20000-1-111-1-111000033−3−333−3−3000000000000000000
χ362222-2-122-2-11122-1-12222112222-1-12-211-1-12-211-2-21111-1-1-1-1220000-2-2−3−333−3−333-1-111-1-1112222-1-211-1-211-1-10000−3−33300−3−333-2-20000-1-111-1-1110000−3−333−3−333000000000000000000
χ372222-2-122-2-11122-1-1222211-2-2-2-2-1-12-211-1-12-211-2-21111-1-1-1-12200002233−3−333−3−311-1-111-1-1-2-2-2-2-1-211-1-211-1-1000033−3−30033−3−322000011-1-111-1-10000−3−333−3−333000000000000000000
χ382222-2-122-2-11122-1-1222211-2-2-2-2-1-12-211-1-12-211-2-21111-1-1-1-122000022−3−333−3−33311-1-111-1-1-2-2-2-2-1-211-1-211-1-10000−3−33300−3−33322000011-1-111-1-1000033−3−333−3−3000000000000000000
χ3922-2-22222-222222-2-2-2-2-2-2-2-22i2i−2i−2i222222222222-2-2-2-2-2-2-2-2-2-2-2-20000−2i2i000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22222-2-2-2-2-200000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ4022-2-22222-222222-2-2-2-2-2-2-2-2−2i−2i2i2i222222222222-2-2-2-2-2-2-2-2-2-2-2-200002i−2i00000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22222-2-2-2-2-2000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ4122-2-2222-1-22222-1-2-2-2-211-2-22i2i−2i−2i2-1-1-1-1-12-1-1222-21-2-211-2-211110000−2i2i000000002i2i−2i−2i−2i−2i2i2i−i−iii-1-1-1-1-11111100000000000000i−i3−3−33−i−iiiii−i−i000000000000003−3−330000−i3i3i3−i30000
χ4222-2-2222-1-22222-1-2-2-2-211-2-22i2i−2i−2i2-1-1-1-1-12-1-1222-21-2-211-2-211110000−2i2i000000002i2i−2i−2i−2i−2i2i2i−i−iii-1-1-1-1-11111100000000000000i−i−333−3−i−iiiii−i−i00000000000000−333−30000i3−i3−i3i30000
χ4322-2-2222-1-22222-1-2-2-2-211-2-2−2i−2i2i2i2-1-1-1-1-12-1-1222-21-2-211-2-2111100002i−2i00000000−2i−2i2i2i2i2i−2i−2iii−i−i-1-1-1-1-11111100000000000000−ii3−3−33ii−i−i−i−iii000000000000003−3−330000i3−i3−i3i30000
χ4422-2-2222-1-22222-1-2-2-2-211-2-2−2i−2i2i2i2-1-1-1-1-12-1-1222-21-2-211-2-2111100002i−2i00000000−2i−2i2i2i2i2i−2i−2iii−i−i-1-1-1-1-11111100000000000000−ii−333−3ii−i−i−i−iii00000000000000−333−30000−i3i3i3−i30000
χ4522-2-22-122-2-1-1-12211-2-2-2-2112i2i−2i−2i-1-122-1-1-1-122-1-1-2-211111111-2-20000−2i2i−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i2i2i−2i−2i-12-1-1-1-211110000−i3−i3i3i300i3i3−i3−i3−2i2i0000−i−iiiii−i−i0000−3−33333−3−3000000000000000000
χ4622-2-22-122-2-1-1-12211-2-2-2-2112i2i−2i−2i-1-122-1-1-1-122-1-1-2-211111111-2-20000−2i2ii3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i2i2i−2i−2i-12-1-1-1-211110000i3i3−i3−i300−i3−i3i3i3−2i2i0000−i−iiiii−i−i000033−3−3−3−333000000000000000000
χ4722-2-22-122-2-1-1-12211-2-2-2-211−2i−2i2i2i-1-122-1-1-1-122-1-1-2-211111111-2-200002i−2i−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii−2i−2i2i2i-12-1-1-1-211110000−i3−i3i3i300i3i3−i3−i32i−2i0000ii−i−i−i−iii000033−3−3−3−333000000000000000000
χ4822-2-22-122-2-1-1-12211-2-2-2-211−2i−2i2i2i-1-122-1-1-1-122-1-1-2-211111111-2-200002i−2ii3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii−2i−2i2i2i-12-1-1-1-211110000i3i3−i3−i300−i3−i3i3i32i−2i0000ii−i−i−i−iii0000−3−33333−3−3000000000000000000
χ4922-2-2-222-122-2-22-1-2-2-2-211222i2i−2i−2i2-1-11112-1-1-2-2-22-122-1-1-2-2111100002i−2i000000002i2i2i2i−2i−2i−2i−2i−i−iii-1111-1-1-1-1112i−2i000000000000−ii−i−iii−i−i−i−iiiii0000000000002i−2i−i−iii20-20-1-1110000
χ5022-2-2-222-122-2-22-1-2-2-2-211222i2i−2i−2i2-1-11112-1-1-2-2-22-122-1-1-2-2111100002i−2i000000002i2i2i2i−2i−2i−2i−2i−i−iii-1111-1-1-1-111−2i2i000000000000−iiii−i−i−i−i−i−iiiii000000000000−2i2iii−i−i-202011-1-10000
χ5122-2-2-222-122-2-22-1-2-2-2-21122−2i−2i2i2i2-1-11112-1-1-2-2-22-122-1-1-2-211110000−2i2i00000000−2i−2i−2i−2i2i2i2i2iii−i−i-1111-1-1-1-1112i−2i000000000000i−i−i−iiiiiii−i−i−i−i0000000000002i−2i−i−iii-202011-1-10000
χ5222-2-2-222-122-2-22-1-2-2-2-21122−2i−2i2i2i2-1-11112-1-1-2-2-22-122-1-1-2-211110000−2i2i00000000−2i−2i−2i−2i2i2i2i2iii−i−i-1111-1-1-1-111−2i2i000000000000i−iii−i−iiiii−i−i−i−i000000000000−2i2iii−i−i20-20-1-1110000
χ5322-2-2-22-1222-2-2-12-2-211-2-2220000-12-1-2-2-2-12-1111-12-1-12211-2-2112i2i−2i−2i002i2i2i2i−2i−2i−2i−2i000000000000-1111-1-1-1-1112i−2i−i−i−i−i−i−iiiiiii002i2i−2i−2i00000000000000000000−ii−i−iii020-20000-1100
χ5422-2-2-22-1222-2-2-12-2-211-2-2220000-12-1-2-2-2-12-1111-12-1-12211-2-2112i2i−2i−2i002i2i2i2i−2i−2i−2i−2i000000000000-1111-1-1-1-111−2i2i−i−i−i−i−i−iiiiiii00−2i−2i2i2i00000000000000000000i−iii−i−i0-20200001-100
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χ1254-4−4i4i04-240-4002-4−4i4i2i−2i−4i4i000000-24-20002-420000000002i−2i−4i4i2i−2i2−2i−2+2i2+2i−2−2i002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i000000000000-200020002i−2i00−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i00000000000000000000000000000000000000000000
χ1264-4−4i4i04-240-4002-4−4i4i2i−2i−4i4i000000-24-20002-420000000002i−2i−4i4i2i−2i−2+2i2−2i−2−2i2+2i00−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i000000000000-200020002i−2i001−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i00000000000000000000000000000000000000000000
χ1274-4−4i4i0-24-202−2i32i3-422i−2i−4i4i2i−2i−2323−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-21-20i3−i32-120−2i32i300−23233−32i−2i−ii2i−2i000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2310i3−i3-103−3−ii00000000000000000000−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ1284-4−4i4i0-24-202−2i32i3-422i−2i−4i4i2i−2i−23234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-21-20i3−i32-120−2i32i300−23233−32i−2i−ii2i−2i00000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2310i3−i3-103−3−ii00000000000000000000ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ1294-4−4i4i0-24-2022i3−2i3-422i−2i−4i4i2i−2i23−23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-21-20−i3i32-1202i3−2i30023−23−332i−2i−ii2i−2i000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2310−i3i3-10−33−ii00000000000000000000−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ1304-4−4i4i0-24-2022i3−2i3-422i−2i−4i4i2i−2i23−234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-21-20−i3i32-1202i3−2i30023−23−332i−2i−ii2i−2i00000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2310−i3i3-10−33−ii00000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ1314-4−4i4i0-2-2402−2i32i32-42i−2i2i−2i−4i4i−232300001-2-20−2i32i3-1220i3−i3003−3−2323−ii2i−2i2i−2i2−2i−2+2i2+2i−2−2i00−2ζ4−2ζ142ζ4+2ζ14−2ζ20−2ζ222ζ20+2ζ22−2ζ20+2ζ222ζ20−2ζ22−2ζ4+2ζ142ζ4−2ζ1400000000000010i3−i3-103−3−ii00−1+i1−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−1−i1+iζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000000000000000000000000000000000
χ1324-4−4i4i0-2-2402−2i32i32-42i−2i2i−2i−4i4i−232300001-2-20−2i32i3-1220i3−i3003−3−2323−ii2i−2i2i−2i−2+2i2−2i−2−2i2+2i002ζ4+2ζ14−2ζ4−2ζ142ζ20+2ζ22−2ζ20−2ζ222ζ20−2ζ22−2ζ20+2ζ222ζ4−2ζ14−2ζ4+2ζ1400000000000010i3−i3-103−3−ii001−i−1+i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ221+i−1−i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000000000000000000000000000000000
χ1334-4−4i4i0-2-24022i3−2i32-42i−2i2i−2i−4i4i23−2300001-2-202i3−2i3-1220−i3i300−3323−23−ii2i−2i2i−2i2−2i−2+2i2+2i−2−2i00−2ζ20−2ζ222ζ20+2ζ22−2ζ4−2ζ142ζ4+2ζ14−2ζ4+2ζ142ζ4−2ζ14−2ζ20+2ζ222ζ20−2ζ2200000000000010−i3i3-10−33−ii00−1+i1−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−1−i1+iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000000000000000000000000000000000
χ1344-4−4i4i0-2-24022i3−2i32-42i−2i2i−2i−4i4i23−2300001-2-202i3−2i3-1220−i3i300−3323−23−ii2i−2i2i−2i−2+2i2−2i−2−2i2+2i002ζ20+2ζ22−2ζ20−2ζ222ζ4+2ζ14−2ζ4−2ζ142ζ4−2ζ14−2ζ4+2ζ142ζ20−2ζ22−2ζ20+2ζ2200000000000010−i3i3-10−33−ii001−i−1+i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ141+i−1−i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000000000000000000000000000000000
χ13588888-4-4-48-4-4-4-4-4-4-4-4-4-4-4-4-40000222-422222-422-4-4222222222200000000000000000000000000-12-1-1-12-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-8-4-4-4-8-444-4-4-4-4-4-4-4-44400002224-2-22224-2-244-2-2-2-222222200000000000000000000000000-1-211-1-211-1-10000000000000000000000000000000000000000000000000000000000
χ13788-8-88-4-4-4-8-4-4-4-4-4444444440000222-422222-42244-2-2-2-2-2-2-2-2-2-200000000000000000000000000-12-1-1-1-211110000000000000000000000000000000000000000000000000000000000
χ13888-8-8-8-4-4-48-444-4-4444444-4-400002224-2-22224-2-2-4-42222-2-2-2-2-2-200000000000000000000000000-1-211-12-1-1110000000000000000000000000000000000000000000000000000000000
χ1398-88i−8i08-4-40-800448i−8i−4i4i−4i4i000000-4-4200044-2000000000−4i4i−4i4i2i−2i000000000000000000000000002000-20002i−2i0000000000000000000000000000000000000000000000000000000000
χ1408-88i−8i0-4-4-404−4i34i344−4i4i−4i4i−4i4i43−43000022202i3−2i3-2-2-202i3−2i300−2323−23232i−2i2i−2i2i−2i00000000000000000000000000-10−i3i3103−3−ii0000000000000000000000000000000000000000000000000000000000
χ1418-88i−8i0-4-4-4044i3−4i344−4i4i−4i4i−4i4i−434300002220−2i32i3-2-2-20−2i32i30023−2323−232i−2i2i−2i2i−2i00000000000000000000000000-10i3−i310−33−ii0000000000000000000000000000000000000000000000000000000000
χ1428-8−8i8i08-4-40-80044−8i8i4i−4i4i−4i000000-4-4200044-20000000004i−4i4i−4i−2i2i000000000000000000000000002000-2000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1438-8−8i8i0-4-4-404−4i34i3444i−4i4i−4i4i−4i−4343000022202i3−2i3-2-2-202i3−2i30023−2323−23−2i2i−2i2i−2i2i00000000000000000000000000-10−i3i310−33i−i0000000000000000000000000000000000000000000000000000000000
χ1448-8−8i8i0-4-4-4044i3−4i3444i−4i4i−4i4i−4i43−4300002220−2i32i3-2-2-20−2i32i300−2323−2323−2i2i−2i2i−2i2i00000000000000000000000000-10i3−i3103−3i−i0000000000000000000000000000000000000000000000000000000000

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