Finite Group Databasebeta

← Group #10711554

Character table — Group #10711554

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444448888888888888888888888888888888888881212121212121212242424242424242424242424
order12448888222344468888881212242424246661212122424242424244444448888881212121212121212121212122424242424242424242424241616161616161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iii−i−iii−i−iii
χ111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ131111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ1722222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1822222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-11111111100000000000000000000
χ1922222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-1111100000000000000000000
χ2022222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-22211111111-1-1-1-111111111-1-1-1-100000000000000000000
χ21222222222-2-222-2-2222-2-2-2-22222222-2-22-2-222-2-2-2-2002i−2i00002i−2i0000002i2i−2i−2i000000002i2i−2i−2i000000000000000000000000
χ22222222222-2-222-2-2222-2-2-2-22222222-2-22-2-222-2-2-2-200−2i2i0000−2i2i000000−2i−2i2i2i00000000−2i−2i2i2i000000000000000000000000
χ23222222222-2-2-12-2-2-122-2-2-2-2-1-1-1-1-1-1-111-111-1-11111002i−2i00002i−2i00−i3−i3i3i3−i−iii33−3−3−i3−i3i3i3−i−iii33−3−300000000000000000000
χ24222222222-2-2-12-2-2-122-2-2-2-2-1-1-1-1-1-1-111-111-1-11111002i−2i00002i−2i00i3i3−i3−i3−i−iii−3−333i3i3−i3−i3−i−iii−3−33300000000000000000000
χ25222222222-2-2-12-2-2-122-2-2-2-2-1-1-1-1-1-1-111-111-1-1111100−2i2i0000−2i2i00−i3−i3i3i3ii−i−i−3−333−i3−i3i3i3ii−i−i−3−33300000000000000000000
χ26222222222-2-2-12-2-2-122-2-2-2-2-1-1-1-1-1-1-111-111-1-1111100−2i2i0000−2i2i00i3i3−i3−i3ii−i−i33−3−3i3i3−i3−i3ii−i−i33−3−300000000000000000000
χ2722222222-22-22-22-22-2-222-2-2222222-22-2-22-2-2-222-2-22i−2i00002i−2i00002i−2i2i−2i000000002i−2i2i−2i0000000000000000000000000000
χ2822222222-22-22-22-22-2-222-2-2222222-22-2-22-2-2-222-2-2−2i2i0000−2i2i0000−2i2i−2i2i00000000−2i2i−2i2i0000000000000000000000000000
χ2922222222-22-2-1-22-2-1-2-222-2-2-1-1-1-1-1-11-111-1111-1-1112i−2i00002i−2i0000−ii−ii−i3i3−i3i33−33−3−ii−ii−i3i3−i3i33−33−300000000000000000000
χ3022222222-22-2-1-22-2-1-2-222-2-2-1-1-1-1-1-11-111-1111-1-1112i−2i00002i−2i0000−ii−iii3−i3i3−i3−33−33−ii−iii3−i3i3−i3−33−3300000000000000000000
χ3122222222-22-2-1-22-2-1-2-222-2-2-1-1-1-1-1-11-111-1111-1-111−2i2i0000−2i2i0000i−ii−i−i3i3−i3i3−33−33i−ii−i−i3i3−i3i3−33−3300000000000000000000
χ3222222222-22-2-1-22-2-1-2-222-2-2-1-1-1-1-1-11-111-1111-1-111−2i2i0000−2i2i0000i−ii−ii3−i3i3−i33−33−3i−ii−ii3−i3i3−i33−33−300000000000000000000
χ3322222222-2-222-2-222-2-2-2-222222222-2-22-2-22-2-2-2-22200002-200002-2000000002-2-22000000002-2-2200000000000000000000
χ3422222222-2-222-2-222-2-2-2-222222222-2-22-2-22-2-2-2-2220000-220000-2200000000-222-200000000-222-200000000000000000000
χ3522222222-2-22-1-2-22-1-2-2-2-222-1-1-1-1-1-111-111-11111-1-100002-200002-23−3−33−333−3-111-13−3−33−333−3-111-100000000000000000000
χ3622222222-2-22-1-2-22-1-2-2-2-222-1-1-1-1-1-111-111-11111-1-100002-200002-2−333−33−3−33-111-1−333−33−3−33-111-100000000000000000000
χ3722222222-2-22-1-2-22-1-2-2-2-222-1-1-1-1-1-111-111-11111-1-10000-220000-223−3−333−3−331-1-113−3−333−3−331-1-1100000000000000000000
χ3822222222-2-22-1-2-22-1-2-2-2-222-1-1-1-1-1-111-111-11111-1-10000-220000-22−333−3−333−31-1-11−333−3−333−31-1-1100000000000000000000
χ392222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-11111112222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111111111-1-1-1-100000000000000000000
χ402222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-111111122-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000
χ412222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111-2-2222222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000
χ422222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111-2-2-2-2-2-2222222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ432222-2-2-2-22-2-222-2-22-2-2222222-2-2-2-22-2-22-2-2-2-22222002i−2i0000−2i2i0000002i2i−2i−2i00000000−2i−2i2i2i000000000000000000000000
χ442222-2-2-2-22-2-222-2-22-2-2222222-2-2-2-22-2-22-2-2-2-2222200−2i2i00002i−2i000000−2i−2i2i2i000000002i2i−2i−2i000000000000000000000000
χ452222-2-2-2-22-2-2-12-2-2-1-2-22222-1-11111-111-11111-1-1-1-1002i−2i0000−2i2i00−i3−i3i3i3−i−iii−3−333i3i3−i3−i3ii−i−i33−3−300000000000000000000
χ462222-2-2-2-22-2-2-12-2-2-1-2-22222-1-11111-111-11111-1-1-1-1002i−2i0000−2i2i00i3i3−i3−i3−i−iii33−3−3−i3−i3i3i3ii−i−i−3−33300000000000000000000
χ472222-2-2-2-22-2-2-12-2-2-1-2-22222-1-11111-111-11111-1-1-1-100−2i2i00002i−2i00−i3−i3i3i3ii−i−i33−3−3i3i3−i3−i3−i−iii−3−33300000000000000000000
χ482222-2-2-2-22-2-2-12-2-2-1-2-22222-1-11111-111-11111-1-1-1-100−2i2i00002i−2i00i3i3−i3−i3ii−i−i−3−333−i3−i3i3i3−i−iii33−3−300000000000000000000
χ492222-2-2-2-2-22-22-22-2222-2-22222-2-2-2-2-22-2-22-222-2-2222i−2i0000−2i2i00002i−2i2i−2i00000000−2i2i−2i2i0000000000000000000000000000
χ502222-2-2-2-2-22-22-22-2222-2-22222-2-2-2-2-22-2-22-222-2-222−2i2i00002i−2i0000−2i2i−2i2i000000002i−2i2i−2i0000000000000000000000000000
χ512222-2-2-2-2-22-2-1-22-2-122-2-222-1-111111-111-11-1-111-1-12i−2i0000−2i2i0000−ii−ii−i3i3−i3i3−33−33i−ii−ii3−i3i3−i33−33−300000000000000000000
χ522222-2-2-2-2-22-2-1-22-2-122-2-222-1-111111-111-11-1-111-1-12i−2i0000−2i2i0000−ii−iii3−i3i3−i33−33−3i−ii−i−i3i3−i3i3−33−3300000000000000000000
χ532222-2-2-2-2-22-2-1-22-2-122-2-222-1-111111-111-11-1-111-1-1−2i2i00002i−2i0000i−ii−i−i3i3−i3i33−33−3−ii−iii3−i3i3−i3−33−3300000000000000000000
χ542222-2-2-2-2-22-2-1-22-2-122-2-222-1-111111-111-11-1-111-1-1−2i2i00002i−2i0000i−ii−ii3−i3i3−i3−33−33−ii−ii−i3i3−i3i33−33−300000000000000000000
χ552222-2-2-2-2-2-222-2-2222222-2-222-2-2-2-2-2-22-2-222222-2-200002-20000-22000000002-2-2200000000-222-200000000000000000000
χ562222-2-2-2-2-2-222-2-2222222-2-222-2-2-2-2-2-22-2-222222-2-20000-2200002-200000000-222-2000000002-2-2200000000000000000000
χ572222-2-2-2-2-2-22-1-2-22-12222-2-2-1-1111111-111-1-1-1-1-11100002-20000-223−3−333−3−33-111-1−333−3−333−31-1-1100000000000000000000
χ582222-2-2-2-2-2-22-1-2-22-12222-2-2-1-1111111-111-1-1-1-1-11100002-20000-22−333−3−333−3-111-13−3−333−3−331-1-1100000000000000000000
χ592222-2-2-2-2-2-22-1-2-22-12222-2-2-1-1111111-111-1-1-1-1-1110000-2200002-23−3−33−333−31-1-11−333−33−3−33-111-100000000000000000000
χ602222-2-2-2-2-2-22-1-2-22-12222-2-2-1-1111111-111-1-1-1-1-1110000-2200002-2−333−33−3−331-1-113−3−33−333−3-111-100000000000000000000
χ6122-2-22i2i−2i−2i2222-2-2-222i−2i2i−2i2i−2i-2-22i2i−2i−2i222-2-2-22i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46
χ6222-2-22i2i−2i−2i2222-2-2-222i−2i2i−2i2i−2i-2-22i2i−2i−2i222-2-2-22i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46
χ6322-2-22i2i−2i−2i2-2-22-22222i−2i−2i2i−2i2i-2-22i2i−2i−2i2-2-2-2222i−2i−2i2i−2i2i00000000000000000000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000
χ6422-2-22i2i−2i−2i2-2-22-22222i−2i−2i2i−2i2i-2-22i2i−2i−2i2-2-2-2222i−2i−2i2i−2i2i000000000000000000000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000
χ6522-2-22i2i−2i−2i-22-222-222−2i2i2i−2i−2i2i-2-22i2i−2i−2i-22-22-22−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000
χ6622-2-22i2i−2i−2i-22-222-222−2i2i2i−2i−2i2i-2-22i2i−2i−2i-22-22-22−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000
χ6722-2-22i2i−2i−2i-2-22222-22−2i2i−2i2i2i−2i-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i0000000000000000000000000000000000002ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26000000000000
χ6822-2-22i2i−2i−2i-2-22222-22−2i2i−2i2i2i−2i-2-22i2i−2i−2i-2-2222-2−2i2i−2i2i2i−2i000000000000000000000000000000000000−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26000000000000
χ6922-2-2−2i−2i2i2i2222-2-2-22−2i2i−2i2i−2i2i-2-2−2i−2i2i2i222-2-2-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26
χ7022-2-2−2i−2i2i2i2222-2-2-22−2i2i−2i2i−2i2i-2-2−2i−2i2i2i222-2-2-2−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26
χ7122-2-2−2i−2i2i2i2-2-22-2222−2i2i2i−2i2i−2i-2-2−2i−2i2i2i2-2-2-222−2i2i2i−2i2i−2i000000000000000000000000000000000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000
χ7222-2-2−2i−2i2i2i2-2-22-2222−2i2i2i−2i2i−2i-2-2−2i−2i2i2i2-2-2-222−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000
χ7322-2-2−2i−2i2i2i-22-222-2222i−2i−2i2i2i−2i-2-2−2i−2i2i2i-22-22-222i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260000
χ7422-2-2−2i−2i2i2i-22-222-2222i−2i−2i2i2i−2i-2-2−2i−2i2i2i-22-22-222i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260000
χ7522-2-2−2i−2i2i2i-2-22222-222i−2i2i−2i−2i2i-2-2−2i−2i2i2i-2-2222-22i−2i2i−2i−2i2i000000000000000000000000000000000000−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46000000000000
χ7622-2-2−2i−2i2i2i-2-22222-222i−2i2i−2i−2i2i-2-2−2i−2i2i2i-2-2222-22i−2i2i−2i−2i2i0000000000000000000000000000000000002ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46000000000000
χ7744-4-44i4i−4i−4i444-2-4-4-4-24i−4i4i−4i4i−4i22−2i−2i2i2i-2-2-2222−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ7844-4-44i4i−4i−4i4-4-4-2-444-24i−4i−4i4i−4i4i22−2i−2i2i2i-2222-2-2−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ7944-4-44i4i−4i−4i-44-4-24-44-2−4i4i4i−4i−4i4i22−2i−2i2i2i2-22-22-22i−2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ8044-4-44i4i−4i−4i-4-44-244-4-2−4i4i−4i4i4i−4i22−2i−2i2i2i22-2-2-222i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8144-4-4−4i−4i4i4i444-2-4-4-4-2−4i4i−4i4i−4i4i222i2i−2i−2i-2-2-22222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ8244-4-4−4i−4i4i4i4-4-4-2-444-2−4i4i4i−4i4i−4i222i2i−2i−2i-2222-2-22i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8344-4-4−4i−4i4i4i-44-4-24-44-24i−4i−4i4i4i−4i222i2i−2i−2i2-22-22-2−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8444-4-4−4i−4i4i4i-4-44-244-4-24i−4i4i−4i−4i4i222i2i−2i−2i22-2-2-22−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ854-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260004000-40000004i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260000000000000000000000000000000000000000000000002ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41000000000000
χ864-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260004000-40000004i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ26000000000000000000000000000000000000000000000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41000000000000
χ874-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260004000-40000004i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ26000000000000000000000000000000000000000000000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29000000000000
χ884-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260004000-40000004i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260000000000000000000000000000000000000000000000002ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29000000000000
χ894-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460004000-4000000−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46000000000000000000000000000000000000000000000000−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ47000000000000
χ904-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460004000-4000000−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460000000000000000000000000000000000000000000000002ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47000000000000
χ914-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460004000-4000000−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46000000000000000000000000000000000000000000000000−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43000000000000
χ924-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460004000-4000000−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460000000000000000000000000000000000000000000000002ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43000000000000
χ938-88i−8i8ζ14+8ζ46−8ζ14−8ζ46−8ζ10−8ζ268ζ10+8ζ26000-40004000000−4i4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ2600000000000000000000000000000000000000000000000000000000000000000000
χ948-88i−8i−8ζ14−8ζ468ζ14+8ζ468ζ10+8ζ26−8ζ10−8ζ26000-40004000000−4i4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ2600000000000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i−8ζ10−8ζ268ζ10+8ζ268ζ14+8ζ46−8ζ14−8ζ46000-400040000004i−4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ4600000000000000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i8ζ10+8ζ26−8ζ10−8ζ26−8ζ14−8ζ468ζ14+8ζ46000-400040000004i−4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ4600000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.