Finite Group Databasebeta

← Group #10768704

Character table — Group #10768704

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444444448888888888888888881616161616161616161624242424242424242424242424242424
order122222223446662444666612121212121222444444612121212121212121266881212242424242222222444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1111-1-11-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-11111
χ91111-1-1111-1-1111-1-111-1-111-1-1-1-1111-11-111-1-1-111111-1-1-1-11-11-11-111-1-111-1-11-111-11-1-111-1-1
χ101111-1-1111-1-1111-1-111-1-111-1-1-1-1111-11-111-1-1-111111-1-1-1-11-11-11-111-1-1-1-111-11-1-11-111-1-111
χ111111-1-1111-1-1111-1-111-1-111-1-1-1-1111-11-1-1-111-11-1-1-1-111111-1-111-1-1-11111-1-1-11-1-11-11111-1-1
χ121111-1-1111-1-1111-1-111-1-111-1-1-1-1111-11-1-1-111-11-1-1-1-111111-1-111-1-1-111-1-1111-111-11-1-1-1-111
χ131111-1-1111-1-1111-1-111-1-111-1-1-1-111-11-1111-1-1-111111-1-1-1-1-11-11-11-1-11111-1-11-1-1-111-11-1-111
χ141111-1-1111-1-1111-1-111-1-111-1-1-1-111-11-1111-1-1-111111-1-1-1-1-11-11-11-1-111-1-111-1111-1-11-111-1-1
χ151111-1-1111-1-1111-1-111-1-111-1-1-1-111-11-11-1-111-11-1-1-1-11111-111-1-1111-1-111-1-1-1111-1-11-1-1-111
χ161111-1-1111-1-1111-1-111-1-111-1-1-1-111-11-11-1-111-11-1-1-1-11111-111-1-1111-1-1-1-1111-1-1-111-1111-1-1
χ17222222222-2-22222-2-2-22222-2-2-2-2-2-2000000002-200000000000000000000002-2000-2200000
χ18222222222-2-22222-2-2-22222-2-2-2-2-2-2000000002-20000000000000000000000-220002-200000
χ1922222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ2022222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-111111111-1-1-2-2-1-111110000000000000000
χ2122222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-111-2-21111110000000000000000
χ2222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111112211-1-1-1-10000000000000000
χ23222222-2-2222222-2-2-2222-2-222-2-2-2-222-2-20000-22000000002200-2-200000000000000000000
χ24222222-2-2222222-2-2-2222-2-222-2-2-2-2-2-2220000-2200000000-2-2002200000000000000000000
χ25222222-2-22-2-2222-222-222-2-2-2-2222200000000-2-20000000000000000000000002-2-20020000
χ26222222-2-22-2-2222-222-222-2-2-2-2222200000000-2-2000000000000000000000000-22200-20000
χ27222222-2-2-122-1-1-1-2-2-22-1-111-1-1111122-2-200001-133−3−333−3−3-1-100113−33−30000000000000000
χ28222222-2-2-122-1-1-1-2-2-22-1-111-1-1111122-2-200001-1−3−333−3−333-1-10011−33−330000000000000000
χ29222222-2-2-122-1-1-1-2-2-22-1-111-1-11111-2-22200001-133−3−333−3−31100-1-1−33−330000000000000000
χ30222222-2-2-122-1-1-1-2-2-22-1-111-1-11111-2-22200001-1−3−333−3−3331100-1-13−33−30000000000000000
χ312222-2-222222222-22-2-2-2-2222222-2-200000000-2-2000000000000000000000022000-2-200000
χ322222-2-222222222-22-2-2-2-2222222-2-200000000-2-20000000000000000000000-2-20002200000
χ332222-2-222-1-2-2-1-1-1-2-22211-1-11111-1-12-22-222-2-21-1-1-1-1-11111-112-2-11-1-1110000000000000000
χ342222-2-222-1-2-2-1-1-1-2-22211-1-11111-1-12-22-2-2-2221-11111-1-1-1-1-11-22-1111-1-10000000000000000
χ352222-2-222-1-2-2-1-1-1-2-22211-1-11111-1-1-22-2222-2-21-1-1-1-1-111111-1-221-111-1-10000000000000000
χ362222-2-222-1-2-2-1-1-1-2-22211-1-11111-1-1-22-22-2-2221-11111-1-1-1-11-12-21-1-1-1110000000000000000
χ372222-2-2-2-22222222-22-2-2-2-2-222-2-222000000002-20000000000000000000000002-2200-20000
χ382222-2-2-2-22222222-22-2-2-2-2-222-2-222000000002-2000000000000000000000000-22-20020000
χ392222-2-2-2-22-2-222222-22-2-2-2-2-2-222-2-22-2-22000022000000002-200-2200000000000000000000
χ402222-2-2-2-22-2-222222-22-2-2-2-2-2-222-2-2-222-200002200000000-22002-200000000000000000000
χ412222-2-2-2-2-1-2-2-1-1-122-22111111-1-1112-2-220000-1-133−3−3−3−333-11001-13−3−330000000000000000
χ422222-2-2-2-2-1-2-2-1-1-122-22111111-1-1112-2-220000-1-1−3−33333−3−3-11001-1−333−30000000000000000
χ432222-2-2-2-2-1-2-2-1-1-122-22111111-1-111-222-20000-1-133−3−3−3−3331-100-11−333−30000000000000000
χ442222-2-2-2-2-1-2-2-1-1-122-22111111-1-111-222-20000-1-1−3−33333−3−31-100-113−3−330000000000000000
χ4544444444-2-4-4-2-2-24-4-4-4-2-2-2-222222200000000-220000000000000000000000000000000000
χ46444444-4-4-2-4-4-2-2-2-444-4-2-22222-2-2-2-200000000220000000000000000000000000000000000
χ474444-4-444-244-2-2-2-44-4-422-2-2-2-2-2-22200000000220000000000000000000000000000000000
χ484444-4-4-4-4-244-2-2-24-44-42222-2-222-2-200000000-220000000000000000000000000000000000
χ4944-4-4000044-4-44-4000000004-4000000000000000000000000000000002-22-2000000000000
χ5044-4-4000044-4-44-4000000004-400000000000000000000000000000000-22-22000000000000
χ5144-4-400004-44-44-400000000-44000000000000000000000000000000002-2-22000000000000
χ5244-4-400004-44-44-400000000-4400000000000000000000000000000000-222-2000000000000
χ534-44-4004-4400-4-440000004-4000000000000000000000000000000000000000000000022−2200
χ544-44-4004-4400-4-440000004-40000000000000000000000000000000000000000000000−222200
χ554-44-400-44400-4-44000000-4400000000000000000000000000000000000000000000000022−22
χ564-44-400-44400-4-44000000-44000000000000000000000000000000000000000000000000−2222
χ574-4-444-4004004-4-400004-40000000000002-22-2002-22-22-22-200000000000000000000000000
χ584-4-444-4004004-4-400004-4000000000000-22-2200-22-22-22-2200000000000000000000000000
χ594-4-444-400-200-2220000-22000023−2323−2300002-22-200−1+31−3−1−31+3−1+31−3−1−31+300000000000000000000000000
χ604-4-444-400-200-2220000-22000023−2323−230000-22-22001−3−1+31+3−1−31−3−1+31+3−1−300000000000000000000000000
χ614-4-444-400-200-2220000-220000−2323−232300002-22-200−1−31+3−1+31−3−1−31+3−1+31−300000000000000000000000000
χ624-4-444-400-200-2220000-220000−2323−23230000-22-22001+3−1−31−3−1+31+3−1−31−3−1+300000000000000000000000000
χ634-4-44-44004004-4-40000-440000000000002-2-22002-22-2-22-2200000000000000000000000000
χ644-4-44-44004004-4-40000-44000000000000-222-200-22-222-22-200000000000000000000000000
χ654-4-44-4400-200-22200002-2000023−23−232300002-2-2200−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000000000
χ664-4-44-4400-200-22200002-2000023−23−23230000-222-2001+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000000000
χ674-4-44-4400-200-22200002-20000−232323−2300002-2-2200−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000000000
χ684-4-44-4400-200-22200002-20000−232323−230000-222-2001−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000000000
χ6988-8-80000-48-84-4400000000-44000000000000000000000000000000000000000000000000
χ7088-8-80000-4-884-44000000004-4000000000000000000000000000000000000000000000000
χ718-88-8008-8-40044-4000000-4400000000000000000000000000000000000000000000000000
χ728-88-800-88-40044-40000004-400000000000000000000000000000000000000000000000000