Finite Group Databasebeta

← Group #11887517

Character table — Group #11887517

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order122222334466666634666666612121212121222448888246666121212121212124444668812121212121224242424242424246661212124441212121244888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1111-1-111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111-1-1111111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-11111-111-1-1-111-1-1111111111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ91111-1-111111111111-1-1-1-1-1111111-1-1111-1-111111-111-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1111-1-1-1-1111-11
χ101111-1-111111111111-1-1-1-1-1111111-1-1111-1-11111-11-1-1-1-1-11111-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1111-1-11-11-1-111-1-111-11-1
χ111111-1-111111111111-1-1-1-1-1111111-1-1111-1-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11111111-1-1-11-1
χ121111-1-111111111111-1-1-1-1-1111111-1-1111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-11111111-1-11111-1-1-1-11111-1-1-11111-1-1-11-1-1-1-111-1-11-11
χ131111-1-111111111111-1-1-1-1-1111111-1-11-1-11111111-111-1-1-1-1-111-1-1111-1-1-1-1-11111111111-1-1-1-1111-1-1-11-1-11-1-1-11111-1-11-1-1
χ141111-1-111111111111-1-1-1-1-1111111-1-11-1-1111111-11-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1111-111-1-111-1-1-111
χ151111-1-111111111111-1-1-1-1-1111111-1-11-1-111-1-1-1-11-111-1-1-1-1-111-1-1111-1-1-111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-111-111
χ161111-1-111111111111-1-1-1-1-1111111-1-11-1-111-1-1-1-1-11-1-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111111-11-11111-1-1111-1-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-222220000000022-200-2-2-2-2-200-2220022000000000000000000000-2-200000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-20000000022-200-2-2-2-22002-2-200-2-20000000000000000000002200000000000
χ192222222-1222-1-122-1-1222-1-1-1-1-1-1-122222222000022-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-1-1-1-1-1000000002-1-12-1-1020-1-1-1-1000000000
χ202222222-1222-1-122-1-1222-1-1-1-1-1-1-1222222220000-2-211-1-1-111-1-1-1-12-2-22-1-100-1-1111100000000-211-2110-20-1-111000000000
χ212222222-1222-1-122-1-1222-1-1-1-1-1-1-12222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21100111111000000002-1-12-1-10-201111000000000
χ222222222-1222-1-122-1-1222-1-1-1-1-1-1-12222-2-2-2-20000-2-211-1-1-111-1-1-1-1-222-2110011-1-1-1-100000000-211-21102011-1-1000000000
χ232222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-22222000000−i3i3-1-11−i3i31111-200-2-1-100-1-1−i3−i3i3i3000000000−i3i30−i3i300011−i3i3000000000
χ242222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-22222000000i3−i3-1-11i3−i31111-200-2-1-100-1-1i3i3−i3−i3000000000i3−i30i3−i300011i3−i3000000000
χ252222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-2-2-2-2-2000000−i3i3-1-11−i3i311112002110011i3i3−i3−i3000000000−i3i30−i3i3000-1-1i3−i3000000000
χ262222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-2-2-2-2-2000000i3−i3-1-11i3−i311112002110011−i3−i3i3i3000000000i3−i30i3−i3000-1-1−i3i3000000000
χ27222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-1000022222222-1-1222-1-1-1-100000022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12020000000000-1-10
χ28222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-100002222-2-2-2-2-1-12-2-2-1-1-1-100000022000000-1-1-1-1-1-1-1-1111111-20-20000000000110
χ29222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-10000-2-2-2-22222-1-1222-1-1-1-1000000-2-200000011111111-1-1-1-1-1-1-20-20000000000110
χ30222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-10000-2-2-2-2-2-2-2-2-1-12-2-2-1-1-1-1000000-2-2000000111111111111112020000000000-1-10
χ312222-2-222-2-222222222-2-2-2-2222-2-2-222-222-2-200000000-2-2200-2-222200-22200-2-20000000000000000000002-200000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-222-2-2-22200000000-2-2200-2-222-2002-2-20022000000000000000000000-2200000000000
χ332222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-2222-2-200002-2-1-111111-1-111-2-2-22-1-100111111000000002-1-1-2110201-1-1-1000000000
χ342222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-2222-2-20000-2211111-1-1-1-111-2222-1-10011-1-1-1-100000000-2112-1-10-201-111000000000
χ352222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-22-2-22200002-2-1-111111-1-111222-21100-1-1-1-1-1-1000000002-1-1-2110-20-1111000000000
χ362222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-22-2-2220000-2211111-1-1-1-1112-2-2-21100-1-1111100000000-2112-1-1020-11-1-1000000000
χ372222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-222-2-2000000−i3i311-1i3−i311-1-1200-2-1-10011i3i3−i3−i3000000000−i3i30i3−i3000-11−i3i3000000000
χ382222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-222-2-2000000i3−i311-1−i3i311-1-1200-2-1-10011−i3−i3i3i3000000000i3−i30−i3i3000-11i3−i3000000000
χ392222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-2-2-222000000−i3i311-1i3−i311-1-1-20021100-1-1−i3−i3i3i3000000000−i3i30i3−i30001-1i3−i3000000000
χ402222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-2-2-222000000i3−i311-1−i3i311-1-1-20021100-1-1i3i3−i3−i3000000000i3−i30−i3i30001-1−i3i3000000000
χ412222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-1000022222-22211-2-2-2-1-111000000-2-2000000-1-1-1-11111-1-1-111120-20000000000-110
χ422222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-100002222-22-2-211-222-1-111000000-2-2000000-1-1-1-11111111-1-1-1-20200000000001-10
χ432222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-10000-2-2-2-22-22211-2-2-2-1-111000000220000001111-1-1-1-1-1-1-1111-20200000000001-10
χ442222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-10000-2-2-2-2-22-2-211-222-1-111000000220000001111-1-1-1-1111-1-1-120-20000000000-110
χ452-22-22-222002-2-2-2-22202-22-2-22-20000002-22-2−i2−i2i2i200002-2000000000002-2−i2i22-20000−i2−i2i2i2−i2−i2i2i2000000000000000−i2i2−i2i2000
χ462-22-22-222002-2-2-2-22202-22-2-22-20000002-22-2i2i2−i2−i200002-2000000000002-2i2−i22-20000i2i2−i2−i2i2i2−i2−i2000000000000000i2−i2i2−i2000
χ472-22-22-222002-2-2-2-22202-22-2-22-2000000-22-22−i2−i2i2i200002-200000000000-22−i2i2-220000−i2−i2i2i2−i2−i2i2i2000000000000000i2−i2i2−i2000
χ482-22-22-222002-2-2-2-22202-22-2-22-2000000-22-22i2i2−i2−i200002-200000000000-22i2−i2-220000i2i2−i2−i2i2i2−i2−i2000000000000000−i2i2−i2i2000
χ492-22-2-2222002-2-2-2-2220-22-22-22-20000002-2-22−i2−i2i2i20000-22000000000002-2i2−i2-220000−i2−i2i2i2i2i2−i2−i2000000000000000i2−i2−i2i2000
χ502-22-2-2222002-2-2-2-2220-22-22-22-20000002-2-22i2i2−i2−i20000-22000000000002-2−i2i2-220000i2i2−i2−i2−i2−i2i2i2000000000000000−i2i2i2−i2000
χ512-22-2-2222002-2-2-2-2220-22-22-22-2000000-222-2−i2−i2i2i20000-2200000000000-22i2−i22-20000−i2−i2i2i2i2i2−i2−i2000000000000000−i2i2i2−i2000
χ522-22-2-2222002-2-2-2-2220-22-22-22-2000000-222-2i2i2−i2−i20000-2200000000000-22−i2i22-20000i2i2−i2−i2−i2−i2i2i2000000000000000i2−i2−i2i2000
χ532-2-2200222-2-2-22-22-2200000-2-222-2200-200002i−2i2i−2i0000000002-20002i−2i00000002i−2i2i−2i2i−2i2i−2i000000000000000002-20000000
χ542-2-2200222-2-2-22-22-2200000-2-222-2200-200002i−2i2i−2i0000000002-2000−2i2i0000000−2i2i−2i2i2i−2i2i−2i00000000000000000-220000000
χ552-2-2200222-2-2-22-22-2200000-2-222-2200-20000−2i2i−2i2i0000000002-20002i−2i00000002i−2i2i−2i−2i2i−2i2i00000000000000000-220000000
χ562-2-2200222-2-2-22-22-2200000-2-222-2200-20000−2i2i−2i2i0000000002-2000−2i2i0000000−2i2i−2i2i−2i2i−2i2i000000000000000002-20000000
χ57444444-24-4-4-244-2-24-2-4-2-244-2-2-2-4-42222000000000000-2-2-400222200000000000000000000000000000000000000000000
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
χ624444-4-4-24-4-4-244-2-24-2422-4-4-2-2-2-4-42-2-220000000000002240022-2-200000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-222-2000000004-4-2-2-1-122211-1-10000000000000000000000-2112-1-10000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-222-200000000-4422-1-12-2-211-1-100000000000000000000002-1-1-2110000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-2142222111222-2-220000000000−2i32i3-1-1-22i3−2i3-1-11100000000000000000000000i3−i30−i3i30000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-2142222111222-2-2200000000002i3−2i3-1-1-2−2i32i3-1-11100000000000000000000000−i3i30i3−i30000000000000000
χ6744-4-4004400-44-44-4-44000004-4-4000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ6844-4-4004400-44-44-4-44000004-4-40000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ6944-4-400-240024-4-22-4-200000-22200023−230000022−22−22220000000000023−2300000000000000−222−26−66−60000000000000000000000
χ7044-4-400-240024-4-22-4-200000-22200023−2300000−222222−220000000000023−23000000000000002−2−22−66−660000000000000000000000
χ7144-4-400-240024-4-22-4-200000-222000−23230000022−22−222200000000000−232300000000000000−222−2−66−660000000000000000000000
χ7244-4-400-240024-4-22-4-200000-222000−232300000−222222−2200000000000−2323000000000000002−2−226−66−60000000000000000000000
χ734-44-44-44-200422-4-4-2-204-4-222-220000004-44-400000000-2200000000000-2200-220000000000000000000000000000000000
χ744-44-44-44-200422-4-4-2-204-4-222-22000000-44-4400000000-22000000000002-2002-20000000000000000000000000000000000
χ754-44-44-4-2400-2-4-4224-20-224-42-220000000000−2i2−2i22i22i20000-220000000000000−2i22i2000000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ764-44-44-4-2400-2-4-4224-20-224-42-2200000000002i22i2−2i2−2i20000-2200000000000002i2−2i2000000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ774-44-4-444-200422-4-4-2-20-442-22-220000004-4-44000000002-200000000000-22002-20000000000000000000000000000000000
χ784-44-4-444-200422-4-4-2-20-442-22-22000000-444-4000000002-2000000000002-200-220000000000000000000000000000000000
χ794-44-4-44-2400-2-4-4224-202-2-442-220000000000−2i2−2i22i22i200002-200000000000002i2−2i2000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ804-44-4-44-2400-2-4-4224-202-2-442-2200000000002i22i2−2i2−2i200002-20000000000000−2i22i2000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ814-4-440044-44-4-44-44-4400000-4-44-44-400400000000000000000-440000000000000000000000000000000000000000000000
χ824-4-44004-24-4-42-2-442-20000022-2-22400-400000000000000000-220004i−4i0000000−2i2i−2i2i000000000000000000000000000000
χ834-4-44004-24-4-42-2-442-20000022-2-22400-400000000000000000-22000−4i4i00000002i−2i2i−2i000000000000000000000000000000
χ844-4-44004-2-44-42-2-442-20000022-22-2-4004000000000000000002-200000000000023−23−2323000000000000000000000000000000
χ854-4-44004-2-44-42-2-442-20000022-22-2-4004000000000000000002-2000000000000−232323−23000000000000000000000000000000
χ864-4-4400-244-42-442-2-4-20000022-24-4-200200004i−4i4i−4i000000000-220000000000000000−2i2i−2i2i00000000000000000000000000
χ874-4-4400-244-42-442-2-4-20000022-24-4-20020000−4i4i−4i4i000000000-2200000000000000002i−2i2i−2i00000000000000000000000000
χ884-4-4400-24-442-442-2-4-20000022-2-44200-2000000000000000002-200000000000000000000−2i32i32i3−2i30000000000000000000000
χ894-4-4400-24-442-442-2-4-20000022-2-44200-2000000000000000002-2000000000000000000002i3−2i3−2i32i30000000000000000000000
χ9088-8-8008-400-8-448-84-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-4004-44-4442000002-2-200043−4300000000000000000000−232300000000000000000000000000000000000000000000
χ9288-8-800-4-4004-44-4442000002-2-2000−43430000000000000000000023−2300000000000000000000000000000000000000000000
χ938-88-88-8-4-400-44444-420-44-44-22-20000000000000000002-2000000000000000000000000000000000000000000000000000
χ948-88-8-88-4-400-44444-4204-44-4-22-2000000000000000000-22000000000000000000000000000000000000000000000000000
χ958-8-8800-4-48-844-44-44200000-2-22-44-4004000000000000000002-20000000000000000000000000000000000000000000000
χ968-8-8800-4-4-8844-44-44200000-2-224-4400-400000000000000000-220000000000000000000000000000000000000000000000

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