Finite Group Databasebeta

← Group #10697772

Character table — Group #10697772

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121244888888881212121212121212242424242424242424242424242424248888888824242424242424242424242424242424444488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ92222222222-2-222-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ102222222222-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ11222222222-222-2-222-2222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ12222222222-222-2-222-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22200000000
χ13222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-22222-2-2000000000000000000000000000000000000000000002i2i−2i−2i0000
χ14222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-22222-2-200000000000000000000000000000000000000000000−2i−2i2i2i0000
χ1522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ1722222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ1822222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ1922222222-12-2-222-2-22-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−3000000000000
χ2022222222-12-2-222-2-22-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−33333000000000000
χ2122222222-12-2-222-2-22-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−33333000000000000
χ2222222222-12-2-222-2-22-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−3000000000000
χ23222-2-2-22-22-2002-200222-2-22-2-2000000000000002i2i−2i−2i2-200002-2000000002i2i2i2i−2i−2i−2i−2i−i2−i2i2i222−2−2−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ24222-2-2-22-22-2002-200222-2-22-2-2000000000000002i2i−2i−2i2-200002-2000000002i2i2i2i−2i−2i−2i−2ii2i2−i2−i2−2−222i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ25222-2-2-22-22-2002-200222-2-22-2-200000000000000−2i−2i2i2i2-200002-200000000−2i−2i−2i−2i2i2i2i2i−i2−i2i2i2−2−222−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ26222-2-2-22-22-2002-200222-2-22-2-200000000000000−2i−2i2i2i2-200002-200000000−2i−2i−2i−2i2i2i2i2ii2i2−i2−i222−2−2i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ27222-2-2-22-2-1-2002-2002-1-111-11133−3−333−3−30000002i2i−2i−2i-1133−3−3-11−i3−i3−i3−i3i3i3i3i3−i−i−i−iiiii−i2−i2i2i222−2−2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000000000000
χ28222-2-2-22-2-1-2002-2002-1-111-11133−3−333−3−30000002i2i−2i−2i-1133−3−3-11−i3−i3−i3−i3i3i3i3i3−i−i−i−iiiiii2i2−i2−i2−2−222−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000000000000
χ29222-2-2-22-2-1-2002-2002-1-111-11133−3−333−3−3000000−2i−2i2i2i-1133−3−3-11i3i3i3i3−i3−i3−i3−i3iiii−i−i−i−i−i2−i2i2i2−2−222ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000000000000
χ30222-2-2-22-2-1-2002-2002-1-111-11133−3−333−3−3000000−2i−2i2i2i-1133−3−3-11i3i3i3i3−i3−i3−i3−i3iiii−i−i−i−ii2i2−i2−i222−2−2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000000000000
χ31222-2-2-22-2-1-2002-2002-1-111-111−3−333−3−3330000002i2i−2i−2i-11−3−333-11i3i3i3i3−i3−i3−i3−i3−i−i−i−iiiii−i2−i2i2i222−2−2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ32222-2-2-22-2-1-2002-2002-1-111-111−3−333−3−3330000002i2i−2i−2i-11−3−333-11i3i3i3i3−i3−i3−i3−i3−i−i−i−iiiiii2i2−i2−i2−2−222−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ33222-2-2-22-2-1-2002-2002-1-111-111−3−333−3−333000000−2i−2i2i2i-11−3−333-11−i3−i3−i3−i3i3i3i3i3iiii−i−i−i−i−i2−i2i2i2−2−222ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ34222-2-2-22-2-1-2002-2002-1-111-111−3−333−3−333000000−2i−2i2i2i-11−3−333-11−i3−i3−i3−i3i3i3i3i3iiii−i−i−i−ii2i2−i2−i222−2−2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ3522-22-2-2-22202-2002-202-22-2-22-22-22-22-22-200−i2−i2i2i2−i2i2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002i−2i002−22−20000
χ3622-22-2-2-22202-2002-202-22-2-22-22-22-22-22-200−i2−i2i2i2−i2i2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−2i2i00−22−220000
χ3722-22-2-2-22202-2002-202-22-2-22-22-22-22-22-200i2i2−i2−i2i2−i2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002i−2i00−22−220000
χ3822-22-2-2-22202-2002-202-22-2-22-22-22-22-22-200i2i2−i2−i2i2−i2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−2i2i002−22−20000
χ3922-22-2-2-2220-2200-2202-22-2-22-2-22-22-22-2200−i2−i2i2i2i2−i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000002-2−i2i2i2−i20000
χ4022-22-2-2-2220-2200-2202-22-2-22-2-22-22-22-2200−i2−i2i2i2i2−i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000-22i2−i2−i2i20000
χ4122-22-2-2-2220-2200-2202-22-2-22-2-22-22-22-2200i2i2−i2−i2−i2i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000002-2i2−i2−i2i20000
χ4222-22-2-2-2220-2200-2202-22-2-22-2-22-22-22-2200i2i2−i2−i2−i2i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000-22−i2i2i2−i20000
χ432-2-222-22-22-200-22002-2-2222-2-200000000002i−2i2i−2i00002-20000-222i−2i2i−2i2i−2i2i−2i00000000−i2i2−i2i22−22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ442-2-222-22-22-200-22002-2-2222-2-200000000002i−2i2i−2i00002-20000-222i−2i2i−2i2i−2i2i−2i00000000i2−i2i2−i2−22−22i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ452-2-222-22-22-200-22002-2-2222-2-20000000000−2i2i−2i2i00002-20000-22−2i2i−2i2i−2i2i−2i2i00000000−i2i2−i2i2−22−22−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ462-2-222-22-22-200-22002-2-2222-2-20000000000−2i2i−2i2i00002-20000-22−2i2i−2i2i−2i2i−2i2i00000000i2−i2i2−i22−22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ472-2-222-22-2-1-200-2200211-1-1-1113−3−33−333−3002i−2i2i−2i0000-113−33−31-1−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i3−i2i2−i2i22−22−2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ482-2-222-22-2-1-200-2200211-1-1-1113−3−33−333−3002i−2i2i−2i0000-113−33−31-1−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i3i2−i2i2−i2−22−22−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ492-2-222-22-2-1-200-2200211-1-1-1113−3−33−333−300−2i2i−2i2i0000-113−33−31-1i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i3−i2i2−i2i2−22−22ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ502-2-222-22-2-1-200-2200211-1-1-1113−3−33−333−300−2i2i−2i2i0000-113−33−31-1i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i3i2−i2i2−i22−22−2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ512-2-222-22-2-1-200-2200211-1-1-111−333−33−3−33002i−2i2i−2i0000-11−33−331-1−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i3−i2i2−i2i22−22−2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ522-2-222-22-2-1-200-2200211-1-1-111−333−33−3−33002i−2i2i−2i0000-11−33−331-1−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i3i2−i2i2−i2−22−22−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ532-2-222-22-2-1-200-2200211-1-1-111−333−33−3−3300−2i2i−2i2i0000-11−33−331-1i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i3−i2i2−i2i2−22−22ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ542-2-222-22-2-1-200-2200211-1-1-111−333−33−3−3300−2i2i−2i2i0000-11−33−331-1i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i3i2−i2i2−i22−22−2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ552-2-2-2-2222222-2-2-2-222-2-2-2-22222-22-2-22-222-200000000222-2-22-2-2000000000000000000002-2-22000000002-2-222-2-22000000000000
χ562-2-2-2-2222222-2-2-2-222-2-2-2-22222-22-2-22-222-200000000222-2-22-2-200000000000000000000-222-200000000-222-2-222-2000000000000
χ572-2-2-2-222222-22-2-22-22-2-2-2-2222-22-222-22-2-220000000022-222-2-2-200000000000000002-2-2200002-2-222-2-2200000000000000000000
χ582-2-2-2-222222-22-2-22-22-2-2-2-2222-22-222-22-2-220000000022-222-2-2-20000000000000000-222-20000-222-2-222-200000000000000000000
χ592-2-2-2-22222-22-222-22-2-2-2-2-22222-22-2-22-22-2200000000-2-2-222-222000000000000000000000000000000000000000000000000002-2
χ602-2-2-2-22222-22-222-22-2-2-2-2-22222-22-2-22-22-2200000000-2-2-222-22200000000000000000000000000000000000000000000000000-22
χ612-2-2-2-22222-2-22222-2-2-2-2-2-2222-22-222-22-22-200000000-2-22-2-22220000000000000000000000000000000000000000000000002-200
χ622-2-2-2-22222-2-22222-2-2-2-2-2-2222-22-222-22-22-200000000-2-22-2-2222000000000000000000000000000000000000000000000000-2200
χ632-2-2-2-2222-122-2-2-2-2221111-1-1-1-11-111-11-12-200000000-1-1-111-1113−33−3−33−33−33−333−33−300002-2-223−3−33−333−3-111-1-111-1000000000000
χ642-2-2-2-2222-122-2-2-2-2221111-1-1-1-11-111-11-12-200000000-1-1-111-1113−33−3−33−33−33−333−33−30000-222-2−333−33−3−331-1-111-1-11000000000000
χ652-2-2-2-2222-122-2-2-2-2221111-1-1-1-11-111-11-12-200000000-1-1-111-111−33−333−33−33−33−3−33−3300002-2-22−333−33−3−33-111-1-111-1000000000000
χ662-2-2-2-2222-122-2-2-2-2221111-1-1-1-11-111-11-12-200000000-1-1-111-111−33−333−33−33−33−3−33−330000-222-23−3−33−333−31-1-111-1-11000000000000
χ672-2-2-2-2222-12-22-2-22-221111-1-1-11-11-1-11-11-2200000000-1-11-1-11113−33−3−33−333−33−3−33−332-2-220000-111-1-111-1−333−33−3−33000000000000
χ682-2-2-2-2222-12-22-2-22-221111-1-1-11-11-1-11-11-2200000000-1-11-1-11113−33−3−33−333−33−3−33−33-222-200001-1-111-1-113−3−33−333−3000000000000
χ692-2-2-2-2222-12-22-2-22-221111-1-1-11-11-1-11-11-2200000000-1-11-1-1111−33−333−33−3−33−333−33−32-2-220000-111-1-111-13−3−33−333−3000000000000
χ702-2-2-2-2222-12-22-2-22-221111-1-1-11-11-1-11-11-2200000000-1-11-1-1111−33−333−33−3−33−333−33−3-222-200001-1-111-1-11−333−33−3−33000000000000
χ7144444444-2-444-4-444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-400000000222222220000000000000000000000000000000000000000000000000000
χ7244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-222222222440000000022-2-2-2-2220000000000000000000000000000000000000000000000000000
χ73444-4-4-44-44400-4400-444-4-44-4-4000000000000000000-440000-440000000000000000000000000000000000000000000000000000
χ74444-4-4-44-4-2400-4400-4-2-222-2222323−23−232323−23−2300000000002-2−23−2323232-20000000000000000000000000000000000000000000000000000
χ75444-4-4-44-4-2400-4400-4-2-222-222−23−232323−23−23232300000000002-22323−23−232-20000000000000000000000000000000000000000000000000000
χ7644-44-4-4-44-204-4004-40-22-222-22-22-22-22-2200−2i2−2i22i22i2−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ7744-44-4-4-44-204-4004-40-22-222-22-22-22-22-22002i22i2−2i2−2i22i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ7844-44-4-4-44-20-4400-440-22-222-222-22-22-22-200−2i2−2i22i22i22i2−2i22i2−2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ7944-44-4-4-44-20-4400-440-22-222-222-22-22-22-2002i22i2−2i2−2i2−2i22i2−2i22i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ8044-4-444-4-44000000004-4-44-4-440000000000000022−22−222200000000000000002222−22−22−22−222222000000000000000000000000000000000000
χ8144-4-444-4-44000000004-4-44-4-4400000000000000−222222−220000000000000000−22−2222222222−22−22000000000000000000000000000000000000
χ8244-4-444-4-4-200000000-222-222-223−23−232323−23−232300000022−22−222200000000−6−66666−6−6−2−22222−2−2000000000000000000000000000000000000
χ8344-4-444-4-4-200000000-222-222-223−23−232323−23−2323000000−222222−220000000066−6−6−6−66622−2−2−2−222000000000000000000000000000000000000
χ8444-4-444-4-4-200000000-222-222-2−232323−23−232323−2300000022−22−22220000000066−6−6−6−666−2−22222−2−2000000000000000000000000000000000000
χ8544-4-444-4-4-200000000-222-222-2−232323−23−232323−23000000−222222−2200000000−6−66666−6−622−2−2−2−222000000000000000000000000000000000000
χ864-444-44-4-4400000000-444-4-4-44000000000022−22−222200000000000022−22−222222−22−222200000000000000000000000000000000000000000000
χ874-444-44-4-4400000000-444-4-4-440000000000−222222−22000000000000−222222−22−222222−2200000000000000000000000000000000000000000000
χ884-444-44-4-4-2000000002-2-2222-22323−23−23−23−2323230022−22−2222000000000000−222−2−222−2−666−6−666−6000000000000000000000000000000000000
χ894-444-44-4-4-2000000002-2-2222-22323−23−23−23−23232300−222222−220000000000002−2−222−2−226−6−666−6−66000000000000000000000000000000000000
χ904-444-44-4-4-2000000002-2-2222-2−23−2323232323−23−230022−22−2222000000000000−222−2−222−26−6−666−6−66000000000000000000000000000000000000
χ914-444-44-4-4-2000000002-2-2222-2−23−2323232323−23−2300−222222−220000000000002−2−222−2−22−666−6−666−6000000000000000000000000000000000000
χ924-44-44-4-44404400-4-40-44-44-44-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-44-4-4440-4-400440-44-44-44-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-4-44-204400-4-402-22-22-22-2-2-2-22222000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ954-44-44-4-44-204400-4-402-22-22-22-2-2-2-22222000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ964-44-44-4-44-20-4-4004402-22-22-222222-2-2-2-2000000000000000000i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ974-44-44-4-44-20-4-4004402-22-22-222222-2-2-2-2000000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ984-4-444-44-444004-400-4-4-4444-4-4000000000000000000-4400004-40000000000000000000000000000000000000000000000000000
χ994-4-444-44-4-24004-400-422-2-2-22223−23−2323−232323−2300000000002-2−2323−2323-220000000000000000000000000000000000000000000000000000
χ1004-4-444-44-4-24004-400-422-2-2-222−232323−2323−23−232300000000002-223−2323−23-220000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-44-444-44-42222-2-2-2-22-222-22-2-4400000000222-2-22-2-20000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-4-44444-4-42222-2-2-22-22-2-22-224-40000000022-222-2-2-20000000000000000000000000000000000000000000000000000

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