Finite Group Databasebeta

← Group #11885749

Character table — Group #11885749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order12222233446666663466666661212121212122244888824666612121212121212224466666688121224242424242424246661212122246612122288886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1
χ91111-1-111111111111-1-1-1-1-11111-1-111111-1-111111-111-1-1-1-1-111-1-111-11111111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1111-1-1111-1-1
χ101111-1-111111111111-1-1-1-1-11111-1-111111-1-11111-11-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1111-11-1-1-1-111-111
χ111111-1-111111111111-1-1-1-1-11111-1-111111-1-1-1-1-1-11-111-1-1-1-1-111-1-111-1111111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-11-1-111-1-1-111
χ121111-1-111111111111-1-1-1-1-11111-1-111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-111111-111-111111-1-11-1-1
χ131111-1-111111111111-1-1-1-1-11111-1-1111-1-11111111-111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1111-1-1-111-1-11-11
χ141111-1-111111111111-1-1-1-1-11111-1-1111-1-1111111-11-1-1-1-1-11111-1-1111-1-1-11111-1-1111111-1-1-1-1-1-1-1111-1-11-1-11-11111-1-1-11-1
χ151111-1-111111111111-1-1-1-1-11111-1-1111-1-111-1-1-1-11-111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-11111-111-1-111-11-1
χ161111-1-111111111111-1-1-1-1-11111-1-1111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1111-1-1-111111111-1-1-1-11111-1-1-1111-11-1-1-11-1-1-1-1-1111-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-222220000000022-200-2-2-2-200-2-222000000220000000000000000000-2-2000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-20000000022-200-2-2-2-20022-2-2000000-2-2000000000000000000022000000000
χ192222222-12222-1-1-12-1222-1-1-1-1-1222-1-122222000022-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-100-1-1000000002-1-12-1-1200-1-1-1-1000000000
χ202222222-12222-1-1-12-1222-1-1-1-1-1222-1-1222220000-2-211-1-1-111-1-1-1-1-2-222-1-1111100-1-100000000-211-211-20011-1-1000000000
χ212222222-12222-1-1-12-1222-1-1-1-1-1222-1-12-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111110011000000002-1-12-1-1-2001111000000000
χ222222222-12222-1-1-12-1222-1-1-1-1-1222-1-12-2-2-2-20000-2-211-1-1-111-1-1-1-122-2-211-1-1-1-1001100000000-211-211200-1-111000000000
χ232222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-22222000000−i3i3-1-11−i3i3111100-2-2-1-1−i3−i3i3i300-1-1000000000−i3i30−i3i3000−i3i311000000000
χ242222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-22222000000i3−i3-1-11i3−i3111100-2-2-1-1i3i3−i3−i300-1-1000000000i3−i30i3−i3000i3−i311000000000
χ252222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-2-2-2-2-2000000−i3i3-1-11−i3i31111002211i3i3−i3−i30011000000000−i3i30−i3i3000i3−i3-1-1000000000
χ262222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-2-2-2-2-2000000i3−i3-1-11i3−i31111002211−i3−i3i3i30011000000000i3−i30i3−i3000−i3i3-1-1000000000
χ27222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-1000022222222-1-1222-1-1-1-100000000002200-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ28222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-100002222-2-2-2-2-1-12-2-2-1-1-1-100000000002200-1-1-1-1-1-1-1-11111110-2-20000000000110
χ29222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-10000-2-2-2-22222-1-1222-1-1-1-10000000000-2-20011111111-1-1-1-1-1-10-2-20000000000110
χ30222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-10000-2-2-2-2-2-2-2-2-1-12-2-2-1-1-1-10000000000-2-200111111111111110220000000000-1-10
χ312222-2-222-2-222222222-2-2-2-2222-222-2-2-222-2-200000000-2-2200-2-222002-222000000-2-200000000000000000002-2000000000
χ322222-2-222-2-222222222-2-2-2-2222-222-2-2-2-2-22200000000-2-2200-2-22200-22-2-2000000220000000000000000000-22000000000
χ332222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-1222-2-200002-2-1-111111-1-11122-22-1-1-1-1-1-10011000000002-1-1-211-200111-1000000000
χ342222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-1222-2-20000-2211111-1-1-1-111-2-2-22-1-11111001100000000-2112-1-1200-1-11-1000000000
χ352222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-12-2-22200002-2-1-111111-1-111-2-22-211111100-1-1000000002-1-1-211200-1-1-11000000000
χ362222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-12-2-2220000-2211111-1-1-1-111222-211-1-1-1-100-1-100000000-2112-1-1-20011-11000000000
χ372222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-222-2-2000000−i3i311-1i3−i311-1-1002-2-1-1−i3−i3i3i30011000000000−i3i30i3−i3000i3−i3-11000000000
χ382222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-222-2-2000000i3−i311-1−i3i311-1-1002-2-1-1i3i3−i3−i30011000000000i3−i30−i3i3000−i3i3-11000000000
χ392222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-2-2-222000000−i3i311-1i3−i311-1-100-2211i3i3−i3−i300-1-1000000000−i3i30i3−i3000−i3i31-1000000000
χ402222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-2-2-222000000i3−i311-1−i3i311-1-100-2211−i3−i3i3i300-1-1000000000i3−i30−i3i3000i3−i31-1000000000
χ412222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-1000022222-22211-2-2-2-1-1110000000000-2-200-1-1-1-11111-1-1-111102-20000000000-110
χ422222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-100002222-22-2-211-222-1-1110000000000-2-200-1-1-1-11111111-1-1-10-2200000000001-10
χ432222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-10000-2-2-2-22-22211-2-2-2-1-111000000000022001111-1-1-1-1-1-1-11110-2200000000001-10
χ442222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-10000-2-2-2-2-22-2-211-222-1-111000000000022001111-1-1-1-1111-1-1-102-20000000000-110
χ452-22-20022-22-22-22-2-2200000-22-2-2002-22000022-2-20000000002-2002-200002-22-2000022-2-2000000000000000002-20000000
χ462-22-20022-22-22-22-2-2200000-22-2-2002-22000022-2-20000000002-200-220000-22-22000022-2-200000000000000000-220000000
χ472-22-20022-22-22-22-2-2200000-22-2-2002-220000-2-2220000000002-2002-200002-22-20000-2-22200000000000000000-220000000
χ482-22-20022-22-22-22-2-2200000-22-2-2002-220000-2-2220000000002-200-220000-22-220000-2-222000000000000000002-20000000
χ492-2-222-22200-2-2-2-222202-22-2-2-220000002-22-22−22−200002-2000000000002-200002−22-22−22−222−2−20000000000000002−22−2000
χ502-2-222-22200-2-2-2-222202-22-2-2-220000002-22-2−22−2200002-2000000000002-20000−222-2−22−22−2−222000000000000000−22−22000
χ512-2-222-22200-2-2-2-222202-22-2-2-22000000-22-222−22−200002-200000000000-2200002−2-222−22−222−2−2000000000000000−22−22000
χ522-2-222-22200-2-2-2-222202-22-2-2-22000000-22-22−22−2200002-200000000000-220000−22-22−22−22−2−2220000000000000002−22−2000
χ532-2-22-222200-2-2-2-22220-22-22-2-220000002-2-222−22−20000-22000000000002-20000−22-222−22−2−2−222000000000000000−222−2000
χ542-2-22-222200-2-2-2-22220-22-22-2-220000002-2-22−22−220000-22000000000002-200002−2-22−22−2222−2−20000000000000002−2−22000
χ552-2-22-222200-2-2-2-22220-22-22-2-22000000-222-22−22−20000-2200000000000-220000−222-22−22−2−2−2220000000000000002−2−22000
χ562-2-22-222200-2-2-2-22220-22-22-2-22000000-222-2−22−220000-2200000000000-2200002−22-2−22−2222−2−2000000000000000−222−2000
χ57444444-24-4-4-2-2444-2-2-4-2-244-2-2-2222-4-42000000000000-2-2-400222200000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000000044-2-211-2-2-211110000000000000000000000-211-2110000000000000000
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-200000000-4-42211-222111100000000000000000000002-1-12-1-10000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222220000000000−2i32i3112−2i32i3-1-1-1-100000000000000000000000i3−i30i3−i30000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200000000002i3−2i31122i3−2i3-1-1-1-100000000000000000000000−i3i30−i3i30000000000000000
χ624444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-22-2-2-4-420000000000002240022-2-200000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-2000000004-4-2-2-1-122211-1-10000000000000000000000-2112-1-10000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-200000000-4422-1-12-2-211-1-100000000000000000000002-1-1-2110000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-22220000000000−2i32i3-1-1-22i3−2i3-1-11100000000000000000000000i3−i30−i3i30000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200000000002i3−2i3-1-1-2−2i32i3-1-11100000000000000000000000−i3i30i3−i30000000000000000
χ6744-4-40044004-44-4-4-44000004-4-4000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ6844-4-40044004-44-4-4-44000004-4-40000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ6944-4-400-2400-224-4-42-200000-222023−23000000022−22−22220000000000023−2300000000000000−222−26−66−60000000000000000000000
χ7044-4-400-2400-224-4-42-200000-222023−230000000−222222−220000000000023−23000000000000002−2−22−66−660000000000000000000000
χ7144-4-400-2400-224-4-42-200000-2220−2323000000022−22−222200000000000−232300000000000000−222−2−66−660000000000000000000000
χ7244-4-400-2400-224-4-42-200000-2220−23230000000−222222−2200000000000−2323000000000000002−2−226−66−60000000000000000000000
χ734-44-400444-4-44-44-4-4400000-44-4400-44-400000000000000000-440000000000000000000000000000000000000000000000
χ744-44-4004-24-4-442-22-4-2000002-224002-2-4000000000000000002-200000000−2i32i32i3−2i30000000000000000000000000000000000
χ754-44-4004-24-4-442-22-4-2000002-224002-2-4000000000000000002-2000000002i3−2i3−2i32i30000000000000000000000000000000000
χ764-44-4004-2-44-442-22-4-2000002-22-400-22400000000000000000-22004-40000-22-220000000000000000000000000000000000
χ774-44-4004-2-44-442-22-4-2000002-22-400-22400000000000000000-2200-4400002-22-20000000000000000000000000000000000
χ784-44-400-244-42-2-44-42-2000002-22-200-442000000000000000002-20000000000000000000023−23−23230000000000000000000000
χ794-44-400-244-42-2-44-42-2000002-22-200-442000000000000000002-200000000000000000000−232323−230000000000000000000000
χ804-44-400-24-442-2-44-42-2000002-222004-4-2000044-4-4000000000-220000000000000000-2-22200000000000000000000000000
χ814-44-400-24-442-2-44-42-2000002-222004-4-20000-4-444000000000-22000000000000000022-2-200000000000000000000000000
χ824-4-444-44-200-4-422-24-204-4-2222-20000004-44-400000000-2200000000000-22000000-22000000000000000000000000000000
χ834-4-444-44-200-4-422-24-204-4-2222-2000000-44-4400000000-22000000000002-20000002-2000000000000000000000000000000
χ844-4-444-4-240022-4-44-2-20-224-422-2000000000022−2222−220000-220000000000000000022−2200−22−22−2−2220000000000000000000000
χ854-4-444-4-240022-4-44-2-20-224-422-20000000000−2222−22220000-2200000000000000000−2222002−22−222−2−20000000000000000000000
χ864-4-44-444-200-4-422-24-20-442-222-20000004-4-44000000002-200000000000-220000002-2000000000000000000000000000000
χ874-4-44-444-200-4-422-24-20-442-222-2000000-444-4000000002-2000000000002-2000000-22000000000000000000000000000000
χ884-4-44-44-240022-4-44-2-202-2-4422-2000000000022−2222−2200002-200000000000000000−222200−22−2222−2−20000000000000000000000
χ894-4-44-44-240022-4-44-2-202-2-4422-20000000000−2222−222200002-20000000000000000022−22002−22−2−2−2220000000000000000000000
χ9088-8-8008-4008-8-444-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-400-44-44442000002-2-2043−430000000000000000000000−232300000000000000000000000000000000000000000000
χ9288-8-800-4-400-44-44442000002-2-20−4343000000000000000000000023−2300000000000000000000000000000000000000000000
χ938-88-800-4-48-84-44-444200000-22-2-4004-4400000000000000000-220000000000000000000000000000000000000000000000
χ948-88-800-4-4-884-44-444200000-22-2400-44-4000000000000000002-20000000000000000000000000000000000000000000000
χ958-8-888-8-4-4004444-4-420-44-44-2-220000000000000000002-2000000000000000000000000000000000000000000000000000
χ968-8-88-88-4-4004444-4-4204-44-4-2-22000000000000000000-22000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).