Finite Group Databasebeta

← Group #97658

Character table — Group #97658

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222444444444444444444444444222222224444444444448888888888888888222244444444444488888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−iii
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii
χ1711-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-111-1-11-1ii−i−iii−i−ii−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-11-1i−i1-1i−iii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ1811-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-111-1-11-1ii−i−iii−i−ii−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-11-1i−i1-1i−iii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ1911-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1-1-1111-1ii−i−i−i−iiii−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-1111-1i−i-11−ii−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ2011-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1-1-1111-1ii−i−i−i−iiii−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-1111-1i−i-11−ii−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ2111-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-11111-1-11-1−i−iiiii−i−ii−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-111-11−ii1-1i−i−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ2211-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-11111-1-11-1−i−iiiii−i−ii−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-111-11−ii1-1i−i−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ2311-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-111-1-1111-1−i−iii−i−iiii−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1-11−ii-11−iiii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ2411-111-1-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-111-1-1111-1−i−iii−i−iiii−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1-11−ii-11−iiii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ2511-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-111-1-11-1−i−iii−i−iii−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-11-1−ii1-1−ii−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ2611-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-111-1-11-1−i−iii−i−iii−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-11-1−ii1-1−ii−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ2711-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-1-1-1111-1−i−iiiii−i−i−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-1111-1−ii-11i−iii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ2811-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-1-1-1111-1−i−iiiii−i−i−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-1111-1−ii-11i−iii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ2911-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-11111-1-11-1ii−i−i−i−iii−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-111-11i−i1-1−iiii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ3011-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-11111-1-11-1ii−i−i−i−iii−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-111-11i−i1-1−iiii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ3111-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-111-1-1111-1ii−i−iii−i−i−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-1-11i−i-11i−i−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ3211-111-1-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-111-1-1111-1ii−i−iii−i−i−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-1-11i−i-11i−i−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ33222222222222222222-2-222-2-22-22-22-22-200002222-2-200002222-2-2000000000000000000000000-2-2-2-2000000000000000000000000
χ34222222222222222222-2-222-2-22-22-22-22-20000-2-2-2-2-2-20000-2-2-2-2-2-20000000000000000000000002222000000000000000000000000
χ352222222222222222-2-222-2-222-22-22-22-2222220000-2-222220000-2-200000000000000000000-2-2-2-20000000000000000000000000000
χ362222222222222222-2-222-2-222-22-22-22-22-2-2-2-20000-2-2-2-2-2-20000-2-20000000000000000000022220000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022000000002200000000000000002-22-2000000002-22-200000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002200000000220000000000000000-22-2200000000-22-2200000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-222-2-2-22-22-22-2200002222-2-20000-2-2-2-222000000000000000000000000-2-222000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-222-2-2-22-22-22-220000-2-2-2-2-2-2000022222200000000000000000000000022-2-2000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-222-2-2222-22-22-22-222220000-2-2-2-2-2-200002200000000000000000000-2-2220000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-222-2-2222-22-22-22-2-2-2-2-20000-2-222220000220000000000000000000022-2-20000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000002200000000-2-200000000000000002-22-200000000-22-2200000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000002200000000-2-20000000000000000-22-22000000002-22-200000000000000000000
χ4522-222-2-2-22i2i2i−2i−2i−2i2i−2i22-2-2-2-2222i−2i−2i2i2i−2i−2i2i000022-2-2-2200002i2i−2i−2i−2i2i000000000000000000000000-22−2i2i000000000000000000000000
χ4622-222-2-2-22i2i2i−2i−2i−2i2i−2i22-2-2-2-2222i−2i−2i2i2i−2i−2i2i0000-2-222-220000−2i−2i2i2i−2i2i0000000000000000000000002-22i−2i000000000000000000000000
χ4722-222-2-2-22i2i2i−2i−2i−2i2i−2i-2-22222-2-2−2i2i2i−2i−2i2i2i−2i22-2-20000-222i2i−2i−2i0000−2i2i00000000000000000000-22−2i2i0000000000000000000000000000
χ4822-222-2-2-22i2i2i−2i−2i−2i2i−2i-2-22222-2-2−2i2i2i−2i−2i2i2i−2i-2-2220000-22−2i−2i2i2i0000−2i2i000000000000000000002-22i−2i0000000000000000000000000000
χ4922-222-2-2-22i2i2i−2i−2i−2i2i−2i-2-2-2-22222−2i−2i2i2i−2i−2i2i2i000000002-2000000002i−2i00000000000000002-2-22000000002i−2i−2i2i00000000000000000000
χ5022-222-2-2-22i2i2i−2i−2i−2i2i−2i-2-2-2-22222−2i−2i2i2i−2i−2i2i2i000000002-2000000002i−2i0000000000000000-222-200000000−2i2i2i−2i00000000000000000000
χ5122-222-2-2-2−2i−2i−2i2i2i2i−2i2i22-2-2-2-222−2i2i2i−2i−2i2i2i−2i000022-2-2-220000−2i−2i2i2i2i−2i000000000000000000000000-222i−2i000000000000000000000000
χ5222-222-2-2-2−2i−2i−2i2i2i2i−2i2i22-2-2-2-222−2i2i2i−2i−2i2i2i−2i0000-2-222-2200002i2i−2i−2i2i−2i0000000000000000000000002-2−2i2i000000000000000000000000
χ5322-222-2-2-2−2i−2i−2i2i2i2i−2i2i-2-22222-2-22i−2i−2i2i2i−2i−2i2i22-2-20000-22−2i−2i2i2i00002i−2i00000000000000000000-222i−2i0000000000000000000000000000
χ5422-222-2-2-2−2i−2i−2i2i2i2i−2i2i-2-22222-2-22i−2i−2i2i2i−2i−2i2i-2-2220000-222i2i−2i−2i00002i−2i000000000000000000002-2−2i2i0000000000000000000000000000
χ5522-222-2-2-2−2i−2i−2i2i2i2i−2i2i-2-2-2-222222i2i−2i−2i2i2i−2i−2i000000002-200000000−2i2i00000000000000002-2-2200000000−2i2i2i−2i00000000000000000000
χ5622-222-2-2-2−2i−2i−2i2i2i2i−2i2i-2-2-2-222222i2i−2i−2i2i2i−2i−2i000000002-200000000−2i2i0000000000000000-222-2000000002i−2i−2i2i00000000000000000000
χ572-222-22-2-22i2i−2i2i−2i−2i−2i2i002-2002-202i0−2i0−2i02i2-22-20000002i−2i2i−2i0000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ582-222-22-2-22i2i−2i2i−2i−2i−2i2i002-2002-202i0−2i0−2i02i2-22-20000002i−2i2i−2i000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ592-222-22-2-22i2i−2i2i−2i−2i−2i2i002-2002-202i0−2i0−2i02i-22-22000000−2i2i−2i2i0000001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ602-222-22-2-22i2i−2i2i−2i−2i−2i2i002-2002-202i0−2i0−2i02i-22-22000000−2i2i−2i2i000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ612-222-22-2-2−2i−2i2i−2i2i2i2i−2i002-2002-20−2i02i02i0−2i2-22-2000000−2i2i−2i2i0000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ622-222-22-2-2−2i−2i2i−2i2i2i2i−2i002-2002-20−2i02i02i0−2i2-22-2000000−2i2i−2i2i000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ632-222-22-2-2−2i−2i2i−2i2i2i2i−2i002-2002-20−2i02i02i0−2i-22-220000002i−2i2i−2i0000001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ642-222-22-2-2−2i−2i2i−2i2i2i2i−2i002-2002-20−2i02i02i0−2i-22-220000002i−2i2i−2i000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ652-22-22-22-22i−2i2i−2i2i−2i−2i2i2-2002-2002i0−2i0−2i02i000002-22-20000002i−2i2i−2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ662-22-22-22-22i−2i2i−2i2i−2i−2i2i2-2002-2002i0−2i0−2i02i000002-22-20000002i−2i2i−2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ672-22-22-22-22i−2i2i−2i2i−2i−2i2i2-2002-2002i0−2i0−2i02i00000-22-22000000−2i2i−2i2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ682-22-22-22-22i−2i2i−2i2i−2i−2i2i2-2002-2002i0−2i0−2i02i00000-22-22000000−2i2i−2i2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ692-22-22-22-2−2i2i−2i2i−2i2i2i−2i2-2002-200−2i02i02i0−2i000002-22-2000000−2i2i−2i2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ702-22-22-22-2−2i2i−2i2i−2i2i2i−2i2-2002-200−2i02i02i0−2i000002-22-2000000−2i2i−2i2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ712-22-22-22-2−2i2i−2i2i−2i2i2i−2i2-2002-200−2i02i02i0−2i00000-22-220000002i−2i2i−2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ722-22-22-22-2−2i2i−2i2i−2i2i2i−2i2-2002-200−2i02i02i0−2i00000-22-220000002i−2i2i−2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ732-2-22-2-22222-2-222-2-2002-200-2202020-20-22-2-220000002-2-22000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ742-2-22-2-22222-2-222-2-2002-200-2202020-20-22-2-220000002-2-22000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ752-2-22-2-22222-2-222-2-2002-200-2202020-20-2-222-2000000-222-2000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ762-2-22-2-22222-2-222-2-2002-200-2202020-20-2-222-2000000-222-2000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ772-2-22-2-222-2-222-2-222002-200-220-20-202022-2-22000000-222-200000022−2−2−2−222−2−22222−2−200000000000000002−2−22−222−2000000000000
χ782-2-22-2-222-2-222-2-222002-200-220-20-202022-2-22000000-222-2000000−2−22222−2−222−2−2−2−2220000000000000000−222−22−2−22000000000000
χ792-2-22-2-222-2-222-2-222002-200-220-20-20202-222-20000002-2-2200000022−2−2−2−222−2−22222−2−20000000000000000−222−22−2−22000000000000
χ802-2-22-2-222-2-222-2-222002-200-220-20-20202-222-20000002-2-22000000−2−22222−2−222−2−2−2−22200000000000000002−2−22−222−2000000000000
χ812-2-2-222-222-222-22-2-22-200-22002020-20-2000002-2-220000002-2-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ822-2-2-222-222-222-22-2-22-200-22002020-20-2000002-2-220000002-2-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ832-2-2-222-222-222-22-2-22-200-22002020-20-200000-222-2000000-222-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ842-2-2-222-222-222-22-2-22-200-22002020-20-200000-222-2000000-222-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ852-2-2-222-22-22-2-22-2222-200-2200-20-20202000002-2-22000000-222-2002−22−2−22−22−22−222−22−20000000000000000000000002−2−22−222−20000
χ862-2-2-222-22-22-2-22-2222-200-2200-20-20202000002-2-22000000-222-200−22−222−22−22−22−2−22−22000000000000000000000000−222−22−2−220000
χ872-2-2-222-22-22-2-22-2222-200-2200-20-2020200000-222-20000002-2-22002−22−2−22−22−22−222−22−2000000000000000000000000−222−22−2−220000
χ882-2-2-222-22-22-2-22-2222-200-2200-20-2020200000-222-20000002-2-2200−22−222−22−22−22−2−22−220000000000000000000000002−2−22−222−20000
χ89444-4-4-4-444-4-4-4-44440000000000000000000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ90444-4-4-4-444-4-4-4-4444000000000000000000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ91444-4-4-4-44-44444-4-4-40000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ92444-4-4-4-44-44444-4-4-4000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ9344-4-4-444-44i−4i−4i4i4i−4i4i−4i0000000000000000000000000000000000002ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ3000000000000000000000000000000000000
χ9444-4-4-444-44i−4i−4i4i4i−4i4i−4i000000000000000000000000000000000000−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3000000000000000000000000000000000000
χ9544-4-4-444-4−4i4i4i−4i−4i4i−4i4i0000000000000000000000000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ000000000000000000000000000000000000
χ9644-4-4-444-4−4i4i4i−4i−4i4i−4i4i000000000000000000000000000000000000−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ000000000000000000000000000000000000
χ974-444-44-4-44i4i−4i4i−4i−4i−4i4i00-4400-440−4i04i04i0−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ984-444-44-4-4−4i−4i4i−4i4i4i4i−4i00-4400-4404i0−4i0−4i04i000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-44-44-44i−4i4i−4i4i−4i−4i4i-4400-4400−4i04i04i0−4i0000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-4−4i4i−4i4i−4i4i4i−4i-4400-44004i0−4i0−4i04i0000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-44444-4-444-4-400-44004-40-40-40404000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-4-444-4-44400-44004-404040-40-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-444-444-444-44-4-4-44004-400-40-404040000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-444-44-44-4-44-444-44004-4004040-40-40000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.