Finite Group Databasebeta

← Group #11887545

Character table — Group #11887545

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order1222223344666666346666666121212121212224488884466121212121212121212444466881212121212122424242424242424121212121212244121212124488886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111-1-11-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
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
χ411111111111111111111111111111111111-1-1-1-1-1-111-1-11-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111
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
χ61111111111111111111111111111111-1-1-1-11111-1-111-1-11-1-11111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ91111-1-111111111111-1-1-1-1-11111-1-111111-1-111111-1-1-111-1-1-111-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1111-1-1-1-1111-11
χ101111-1-111111111111-1-1-1-1-11111-1-111111-1-11111-11-1-1-1-1-11111-1-1-111111-1-1-1-111111111-1-1-1-1-11-1-111-1-11-11-1-111-1-111-11-1
χ111111-1-111111111111-1-1-1-1-11111-1-111111-1-1-1-1-1-11-1-1-111-1-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-11111111-1-1-11-1
χ121111-1-111111111111-1-1-1-1-11111-1-111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-11111111-1-11111-1-1-1-11111-11-1-1111-1-1-11-1-1-1-111-1-11-11
χ131111-1-111111111111-1-1-1-1-11111-1-1111-1-11111111-1-1-111-1-1-111-1-11-111-1-1-1-11111111111-1-1-1-11-111-1-11-1-11-1-1-11111-1-11-1-1
χ141111-1-111111111111-1-1-1-1-11111-1-1111-1-1111111-11-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-1111-111-1-111-1-1-111
χ151111-1-111111111111-1-1-1-1-11111-1-1111-1-111-1-1-1-11-1-1-111-1-1-111-1-11-111-1-111111111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1-111-111
χ161111-1-111111111111-1-1-1-1-11111-1-1111-1-111-1-1-1-1-11-1-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-11-11111-1-1111-1-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-222220000002200-200-2-2-2-2-2-200220022000000000000000000000-2-200000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-20000002200-200-2-2-2-22200-2-200-2-20000000000000000000002200000000000
χ192222222-122-12-12-12-1222-1-1-1-1-1-1-1-122-10000222222-1-122222-1-1-1-100000022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12020000000000-1-10
χ202222222-122-12-12-12-1222-1-1-1-1-1-1-1-122-100002222-2-2-1-1-2-22-2-2-1-1-1-100000022000000-1-1-1-1-1-1-1-1111111-20-20000000000110
χ212222222-122-12-12-12-1222-1-1-1-1-1-1-1-122-10000-2-2-2-222-1-122222-1-1-1-1000000-2-200000011111111-1-1-1-1-1-1-20-20000000000110
χ222222222-122-12-12-12-1222-1-1-1-1-1-1-1-122-10000-2-2-2-2-2-2-1-1-2-22-2-2-1-1-1-1000000-2-2000000111111111111112020000000000-1-10
χ23222222-12222-12-12-1-12-1-122-1-1-1222-1-122222000022-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-1-1-1-1-10000000022-1-1-1-1020-1-1-1-1000000000
χ24222222-12222-12-12-1-12-1-122-1-1-1222-1-1222220000-2-2-1-111-111-1-1-1-122-2-2-1-100-1-1111100000000-2-211110-20-1-111000000000
χ25222222-12222-12-12-1-12-1-122-1-1-1222-1-12-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211001111110000000022-1-1-1-10-201111000000000
χ26222222-12222-12-12-1-12-1-122-1-1-1222-1-12-2-2-2-20000-2-2-1-111-111-1-1-1-1-2-222110011-1-1-1-100000000-2-2111102011-1-1000000000
χ27222222-12-2-22-12-12-1-1-2-1-122-1-1-1-2-2-211-22222000000-1-1−i3i31−i3i31111-2-200-1-100-1-1−i3−i3i3i30000000000−i3i3−i3i300011−i3i3000000000
χ28222222-12-2-22-12-12-1-1-2-1-122-1-1-1-2-2-211-22222000000-1-1i3−i31i3−i31111-2-200-1-100-1-1i3i3−i3−i30000000000i3−i3i3−i300011i3−i3000000000
χ29222222-12-2-22-12-12-1-1-2-1-122-1-1-1-2-2-211-2-2-2-2-2000000-1-1−i3i31−i3i311112200110011i3i3−i3−i30000000000−i3i3−i3i3000-1-1i3−i3000000000
χ30222222-12-2-22-12-12-1-1-2-1-122-1-1-1-2-2-211-2-2-2-2-2000000-1-1i3−i31i3−i311112200110011−i3−i3i3i30000000000i3−i3i3−i3000-1-1−i3i3000000000
χ312222-2-222-2-222222222-2-2-2-2222-222-2-2-222-2-2000000-2-200200-2-2222-2002200-2-20000000000000000000002-200000000000
χ322222-2-222-2-222222222-2-2-2-2222-222-2-2-2-2-222000000-2-200200-2-222-2200-2-20022000000000000000000000-2200000000000
χ332222-2-22-122-12-12-12-1-2-2-211-1-1-1-11122-1000022222-21122-2-2-2-1-111000000-2-2000000-1-1-1-11111-11-1-11120-20000000000-110
χ342222-2-22-122-12-12-12-1-2-2-211-1-1-1-11122-100002222-2211-2-2-222-1-111000000-2-2000000-1-1-1-111111-111-1-1-20200000000001-10
χ352222-2-22-122-12-12-12-1-2-2-211-1-1-1-11122-10000-2-2-2-22-21122-2-2-2-1-111000000220000001111-1-1-1-1-11-1-111-20200000000001-10
χ362222-2-22-122-12-12-12-1-2-2-211-1-1-1-11122-10000-2-2-2-2-2211-2-2-222-1-111000000220000001111-1-1-1-11-111-1-120-20000000000-110
χ372222-2-2-12222-12-12-1-1-211-2-2-1-1-12-2-2-1-1222-2-200002-211-1-1111-1-111-22-2-2-1-100111111000000002-2-1-1110201-1-1-1000000000
χ382222-2-2-12222-12-12-1-1-211-2-2-1-1-12-2-2-1-1222-2-20000-2211111-1-1-1-111-2222-1-10011-1-1-1-100000000-2211-1-10-201-111000000000
χ392222-2-2-12222-12-12-1-1-211-2-2-1-1-12-2-2-1-12-2-22200002-211-1-1111-1-1112-2221100-1-1-1-1-1-1000000002-2-1-1110-20-1111000000000
χ402222-2-2-12222-12-12-1-1-211-2-2-1-1-12-2-2-1-12-2-2220000-2211111-1-1-1-1112-2-2-21100-1-1111100000000-2211-1-1020-11-1-1000000000
χ412222-2-2-12-2-22-12-12-1-1211-2-2-1-1-1-22211-222-2-200000011−i3i3-1i3−i311-1-12-200-1-10011i3i3−i3−i30000000000−i3i3i3−i3000-11−i3i3000000000
χ422222-2-2-12-2-22-12-12-1-1211-2-2-1-1-1-22211-222-2-200000011i3−i3-1−i3i311-1-12-200-1-10011−i3−i3i3i30000000000i3−i3−i3i3000-11i3−i3000000000
χ432222-2-2-12-2-22-12-12-1-1211-2-2-1-1-1-22211-2-2-22200000011−i3i3-1i3−i311-1-1-22001100-1-1−i3−i3i3i30000000000−i3i3i3−i30001-1i3−i3000000000
χ442222-2-2-12-2-22-12-12-1-1211-2-2-1-1-1-22211-2-2-22200000011i3−i3-1−i3i311-1-1-22001100-1-1i3i3−i3−i30000000000i3−i3−i3i30001-1−i3i3000000000
χ452-22-200222-2-2-22-2-22200000-2-222002-2-200002i2i−2i−2i0000000002-200002-20000002-22-22i2i−2i−2i000000000000000002i−2i0000000
χ462-22-200222-2-2-22-2-22200000-2-222002-2-200002i2i−2i−2i0000000002-20000-22000000-22-222i2i−2i−2i00000000000000000−2i2i0000000
χ472-22-200222-2-2-22-2-22200000-2-222002-2-20000−2i−2i2i2i0000000002-200002-20000002-22-2−2i−2i2i2i00000000000000000−2i2i0000000
χ482-22-200222-2-2-22-2-22200000-2-222002-2-20000−2i−2i2i2i0000000002-20000-22000000-22-22−2i−2i2i2i000000000000000002i−2i0000000
χ492-2-222-22200-22-2-22-2202-22-22-2-20000002-22-2−i2i2−i2i2002-200000000000002-2−i2i22-20000−i2i2−i2i2−i2−i2i2i2000000000000000−i2i2−i2i2000
χ502-2-222-22200-22-2-22-2202-22-22-2-20000002-22-2i2−i2i2−i2002-200000000000002-2i2−i22-20000i2−i2i2−i2i2i2−i2−i2000000000000000i2−i2i2−i2000
χ512-2-222-22200-22-2-22-2202-22-22-2-2000000-22-22−i2i2−i2i2002-20000000000000-22−i2i2-220000−i2i2−i2i2−i2−i2i2i2000000000000000i2−i2i2−i2000
χ522-2-222-22200-22-2-22-2202-22-22-2-2000000-22-22i2−i2i2−i2002-20000000000000-22i2−i2-220000i2−i2i2−i2i2i2−i2−i2000000000000000−i2i2−i2i2000
χ532-2-22-222200-22-2-22-220-22-222-2-20000002-2-22−i2i2−i2i200-2200000000000002-2i2−i2-220000−i2i2−i2i2i2i2−i2−i2000000000000000i2−i2−i2i2000
χ542-2-22-222200-22-2-22-220-22-222-2-20000002-2-22i2−i2i2−i200-2200000000000002-2−i2i2-220000i2−i2i2−i2−i2−i2i2i2000000000000000−i2i2i2−i2000
χ552-2-22-222200-22-2-22-220-22-222-2-2000000-222-2−i2i2−i2i200-220000000000000-22i2−i22-20000−i2i2−i2i2i2i2−i2−i2000000000000000−i2i2i2−i2000
χ562-2-22-222200-22-2-22-220-22-222-2-2000000-222-2i2−i2i2−i200-220000000000000-22−i2i22-20000i2−i2i2−i2−i2−i2i2i2000000000000000i2−i2−i2i2000
χ574444444-2-4-4-24-24-24-2-444-2-2-2-2-2222-4-420000000000-2-200-400222200000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2000000004411-2-2-2-2-211110000000000000000000000-2-211110000000000000000
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-200000000-4-41122-2221111000000000000000000000022-1-1-1-10000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000000011−2i32i32−2i32i3-1-1-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222220000000000112i3−2i322i3−2i3-1-1-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ624444-4-44-2-4-4-24-24-24-24-4-422-2-2-22-2-2-4-420000000000220040022-2-200000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-2000000004-4-1-1-2-222211-1-10000000000000000000000-2211-1-10000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-200000000-44-1-1222-2-211-1-100000000000000000000002-2-1-1110000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-22220000000000-1-1−2i32i3-22i3−2i3-1-111000000000000000000000000i3−i3−i3i30000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-22220000000000-1-12i3−2i3-2−2i32i3-1-111000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-40044004-4-44-4-4400000-44-4000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ6844-4-40044004-4-44-4-4400000-44-40000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ6944-4-4004-200-2-4242-4-2000002-22023−23000000022−22−22220000000000023−2300000000000000−222−26−66−60000000000000000000000
χ7044-4-4004-200-2-4242-4-2000002-22023−230000000−222222−220000000000023−23000000000000002−2−22−66−660000000000000000000000
χ7144-4-4004-200-2-4242-4-2000002-220−2323000000022−22−222200000000000−232300000000000000−222−2−66−660000000000000000000000
χ7244-4-4004-200-2-4242-4-2000002-220−23230000000−222222−2200000000000−2323000000000000002−2−226−66−60000000000000000000000
χ734-44-40044-44-4-44-4-44400000-4-44-400-44400000000000000000-440000000000000000000000000000000000000000000000
χ744-44-4004-24-42-4-2-424-20000022-2-2004-4200004i4i−4i−4i000000000-220000000000000000−2i−2i2i2i00000000000000000000000000
χ754-44-4004-24-42-4-2-424-20000022-2-2004-420000−4i−4i4i4i000000000-2200000000000000002i2i−2i−2i00000000000000000000000000
χ764-44-4004-2-442-4-2-424-20000022-2200-44-2000000000000000002-200000000000000000000−2i32i32i3−2i30000000000000000000000
χ774-44-4004-2-442-4-2-424-20000022-2200-44-2000000000000000002-2000000000000000000002i3−2i3−2i32i30000000000000000000000
χ784-44-400-244-4-4242-4-2-20000022-2400-22-400000000000000000-2200004-4000000-22-22000000000000000000000000000000
χ794-44-400-244-4-4242-4-2-20000022-2400-22-400000000000000000-220000-440000002-22-2000000000000000000000000000000
χ804-44-400-24-44-4242-4-2-20000022-2-4002-24000000000000000002-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ814-44-400-24-44-4242-4-2-20000022-2-4002-24000000000000000002-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ824-4-444-44-200242-4-2-4-204-4-22-2220000000000−2i22i2−2i22i200-22000000000000000−2i22i2000000i2−i2i2−i2i2i2−i2−i20000000000000000000000
χ834-4-444-44-200242-4-2-4-204-4-22-22200000000002i2−2i22i2−2i200-220000000000000002i2−2i2000000−i2i2−i2i2−i2−i2i2i20000000000000000000000
χ844-4-444-4-2400-4-2-4242-20-224-4-2220000004-44-4000000-220000000000000-2200-220000000000000000000000000000000000
χ854-4-444-4-2400-4-2-4242-20-224-4-222000000-44-44000000-2200000000000002-2002-20000000000000000000000000000000000
χ864-4-44-444-200242-4-2-4-20-442-2-2220000000000−2i22i2−2i22i2002-20000000000000002i2−2i2000000i2−i2i2−i2−i2−i2i2i20000000000000000000000
χ874-4-44-444-200242-4-2-4-20-442-2-22200000000002i2−2i22i2−2i2002-2000000000000000−2i22i2000000−i2i2−i2i2i2i2−i2−i20000000000000000000000
χ884-4-44-44-2400-4-2-4242-202-2-44-2220000004-4-440000002-20000000000000-22002-20000000000000000000000000000000000
χ894-4-44-44-2400-4-2-4242-202-2-44-222000000-444-40000002-200000000000002-200-220000000000000000000000000000000000
χ9088-8-800-480084-8-4-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-400-444-444200000-22-2043−430000000000000000000000−232300000000000000000000000000000000000000000000
χ9288-8-800-4-400-444-444200000-22-20−4343000000000000000000000023−2300000000000000000000000000000000000000000000
χ938-88-800-4-48-844-444-4200000-2-22-400-444000000000000000002-20000000000000000000000000000000000000000000000
χ948-88-800-4-4-8844-444-4200000-2-224004-4-400000000000000000-220000000000000000000000000000000000000000000000
χ958-8-888-8-4-4004-444-4420-44-442-2-200000000000000002-200000000000000000000000000000000000000000000000000000
χ968-8-88-88-4-4004-444-44204-44-42-2-20000000000000000-2200000000000000000000000000000000000000000000000000000

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