Finite Group Databasebeta

← Group #11887647

Character table — Group #11887647

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order12222233446666663466666661212121212122244888844661212121212121212124444668812121212121224242424242424241212121212124441212121244888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111-1-11-1-111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-111-1-11-1-111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-111-1-11-1-11111-111-1-1-111-1-1111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ91111-1-111111111111-1-1-1-1-11111-1-111111-1-111111-1-1-1-1-1-11111-1-1111-111-1-1-1-111111111-1-1-1-1-11-1-111-1-11-11-1-111-1-1111-1-1
χ101111-1-111111111111-1-1-1-1-11111-1-111111-1-11111-11-1-111-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1111-1-1-1-111-111
χ111111-1-111111111111-1-1-1-1-11111-1-111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1111-11111-1-11111-1-1-1-11111-11-1-111-11-1-11-1-1-1-111-1-1-111
χ121111-1-111111111111-1-1-1-1-11111-1-111111-1-1-1-1-1-1-11-1-111-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-11-11-11111111-1-11-1-1
χ131111-1-111111111111-1-1-1-1-11111-1-1111-1-11111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111-111-111-1-111-1-11-11
χ141111-1-111111111111-1-1-1-1-11111-1-1111-1-1111111-11-1-111-1-1-111-1-1-1111-1-1-1-11111111111-1-1-1-11-111-1-1-11-11-1-1-11111-1-1-11-1
χ151111-1-111111111111-1-1-1-1-11111-1-1111-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-11-11111-1-111-11-1
χ161111-1-111111111111-1-1-1-1-11111-1-1111-1-111-1-1-1-1-11-1-111-1-1-111-1-1-1111-1-111111111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1-1111-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-222220000002200-200-2-2-2-2-200-2220022000000000000000000000-2-200000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-20000002200-200-2-2-2-22002-2-200-2-20000000000000000000002200000000000
χ192222222-1222-1-122-1-1222-1-1-1-1-1222-1-122222000022-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-1000000000
χ202222222-1222-1-122-1-1222-1-1-1-1-1222-1-1222220000-2-2-1-111-111-1-1-1-12-2-22-1-100-1-1111100000000-2-21111-200-1-111000000000
χ212222222-1222-1-122-1-1222-1-1-1-1-1222-1-12-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211001111110000000022-1-1-1-1-2001111000000000
χ222222222-1222-1-122-1-1222-1-1-1-1-1222-1-12-2-2-2-20000-2-2-1-111-111-1-1-1-1-222-2110011-1-1-1-100000000-2-2111120011-1-1000000000
χ232222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-22222000000-1-1−i3i31−i3i31111-200-2-1-100-1-1−i3−i3i3i30000000000−i3i3−i3i300011−i3i3000000000
χ242222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-22222000000-1-1i3−i31i3−i31111-200-2-1-100-1-1i3i3−i3−i30000000000i3−i3i3−i300011i3−i3000000000
χ252222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-2-2-2-2-2000000-1-1−i3i31−i3i311112002110011i3i3−i3−i30000000000−i3i3−i3i3000-1-1i3−i3000000000
χ262222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-2-2-2-2-2000000-1-1i3−i31i3−i311112002110011−i3−i3i3i30000000000i3−i3i3−i3000-1-1−i3i3000000000
χ27222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-10000222222-1-122222-1-1-1-100000022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ28222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-100002222-2-2-1-1-2-22-2-2-1-1-1-100000022000000-1-1-1-1-1-1-1-11111110-2-20000000000110
χ29222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-10000-2-2-2-222-1-122222-1-1-1-1000000-2-200000011111111-1-1-1-1-1-10-2-20000000000110
χ30222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-10000-2-2-2-2-2-2-1-1-2-22-2-2-1-1-1-1000000-2-2000000111111111111110220000000000-1-10
χ312222-2-222-2-222222222-2-2-2-2222-222-2-2-222-2-2000000-2-200200-2-222-20022200-2-20000000000000000000002-200000000000
χ322222-2-222-2-222222222-2-2-2-2222-222-2-2-2-2-222000000-2-200200-2-222200-2-2-20022000000000000000000000-2200000000000
χ332222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-1222-2-200002-211111-1-1-1-111222-2-1-10011-1-1-1-100000000-2211-1-1-2001-111000000000
χ342222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-1222-2-20000-2211-1-1111-1-1112-2-2-2-1-100111111000000002-2-1-1112001-1-1-1000000000
χ352222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-12-2-22200002-211111-1-1-1-111-2-2-221100-1-1111100000000-2211-1-1200-11-1-1000000000
χ362222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-12-2-2220000-2211-1-1111-1-111-22221100-1-1-1-1-1-1000000002-2-1-111-200-1111000000000
χ372222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-222-2-200000011−i3i3-1i3−i311-1-1-2002-1-10011i3i3−i3−i30000000000−i3i3i3−i3000-11−i3i3000000000
χ382222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-222-2-200000011i3−i3-1−i3i311-1-1-2002-1-10011−i3−i3i3i30000000000i3−i3−i3i3000-11i3−i3000000000
χ392222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-2-2-22200000011−i3i3-1i3−i311-1-1200-21100-1-1−i3−i3i3i30000000000−i3i3i3−i30001-1i3−i3000000000
χ402222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-2-2-22200000011i3−i3-1−i3i311-1-1200-21100-1-1i3i3−i3−i30000000000i3−i3−i3i30001-1−i3i3000000000
χ412222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-1000022222-211-2-2-222-1-111000000-2-2000000-1-1-1-111111-111-1-10-220000000000-110
χ422222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-100002222-221122-2-2-2-1-111000000-2-2000000-1-1-1-11111-11-1-11102-200000000001-10
χ432222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-10000-2-2-2-22-211-2-2-222-1-111000000220000001111-1-1-1-11-111-1-102-200000000001-10
χ442222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-10000-2-2-2-2-221122-2-2-2-1-111000000220000001111-1-1-1-1-11-1-1110-220000000000-110
χ4522-2-22-2220022-2-2-2-2202-22-22-2-20000002-22-222−2−2002-200000000000002-22−22-2000022−2−222−2−20000000000000002−22−2000
χ4622-2-22-2220022-2-2-2-2202-22-22-2-20000002-22-2−2−222002-200000000000002-2−222-20000−2−222−2−222000000000000000−22−22000
χ4722-2-22-2220022-2-2-2-2202-22-22-2-2000000-22-2222−2−2002-20000000000000-222−2-22000022−2−222−2−2000000000000000−22−22000
χ4822-2-22-2220022-2-2-2-2202-22-22-2-2000000-22-22−2−222002-20000000000000-22−22-220000−2−222−2−2220000000000000002−22−2000
χ4922-2-2-22220022-2-2-2-220-22-222-2-20000002-2-2222−2−200-2200000000000002-2−22-22000022−2−2−2−222000000000000000−222−2000
χ5022-2-2-22220022-2-2-2-220-22-222-2-20000002-2-22−2−22200-2200000000000002-22−2-220000−2−22222−2−20000000000000002−2−22000
χ5122-2-2-22220022-2-2-2-220-22-222-2-2000000-222-222−2−200-220000000000000-22−222-2000022−2−2−2−2220000000000000002−2−22000
χ5222-2-2-22220022-2-2-2-220-22-222-2-2000000-222-2−2−22200-220000000000000-222−22-20000−2−22222−2−2000000000000000−222−2000
χ532-22-200222-2-2-2-2-222200000-2-222002-2-200002i−2i2i−2i0000000002-20002-200000002-22-22i−2i2i−2i000000000000000002i−2i0000000
χ542-22-200222-2-2-2-2-222200000-2-222002-2-200002i−2i2i−2i0000000002-2000-220000000-22-222i−2i2i−2i00000000000000000−2i2i0000000
χ552-22-200222-2-2-2-2-222200000-2-222002-2-20000−2i2i−2i2i0000000002-20002-200000002-22-2−2i2i−2i2i00000000000000000−2i2i0000000
χ562-22-200222-2-2-2-2-222200000-2-222002-2-20000−2i2i−2i2i0000000002-2000-220000000-22-22−2i2i−2i2i000000000000000002i−2i0000000
χ57444444-24-4-4-244-2-24-2-4-2-244-2-2-2222-4-420000000000-2-200-400222200000000000000000000000000000000000000000000
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
χ624444-4-4-24-4-4-244-2-24-2422-4-4-2-2-22-2-2-4-420000000000220040022-2-200000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-2000000004-4-1-1222-2-211-1-100000000000000000000002-2-1-1110000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-200000000-44-1-1-2-222211-1-10000000000000000000000-2211-1-10000000000000000
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
χ6744-4-44-44-2004-22-4-42-204-4-22-2220000004-44-4000000-220000000000000-2200-220000000000000000000000000000000000
χ6844-4-44-44-2004-22-4-42-204-4-22-222000000-44-44000000-2200000000000002-2002-20000000000000000000000000000000000
χ6944-4-44-4-2400-24-422-4-20-224-4-22200000000002222−22−2200-2200000000000000022−22000000−2−222−2−2220000000000000000000000
χ7044-4-44-4-2400-24-422-4-20-224-4-2220000000000−22−22222200-22000000000000000−222200000022−2−222−2−20000000000000000000000
χ7144-4-4-444-2004-22-4-42-20-442-2-2220000004-4-440000002-20000000000000-22002-20000000000000000000000000000000000
χ7244-4-4-444-2004-22-4-42-20-442-2-222000000-444-40000002-200000000000002-200-220000000000000000000000000000000000
χ7344-4-4-44-2400-24-422-4-202-2-44-22200000000002222−22−22002-2000000000000000−2222000000−2−22222−2−20000000000000000000000
χ7444-4-4-44-2400-24-422-4-202-2-44-2220000000000−22−222222002-200000000000000022−2200000022−2−2−2−2220000000000000000000000
χ754-44-40044-44-4-4-4-444400000-4-44-400-44400000000000000000-440000000000000000000000000000000000000000000000
χ764-44-4004-24-4-422-44-2-20000022-2400-22-400000000000000000-220004-40000000-22-22000000000000000000000000000000
χ774-44-4004-24-4-422-44-2-20000022-2400-22-400000000000000000-22000-4400000002-22-2000000000000000000000000000000
χ784-44-4004-2-44-422-44-2-20000022-2-4002-24000000000000000002-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ794-44-4004-2-44-422-44-2-20000022-2-4002-24000000000000000002-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ804-44-400-244-42-4-42-24-20000022-2-2004-4200004i−4i4i−4i000000000-220000000000000000−2i2i−2i2i00000000000000000000000000
χ814-44-400-244-42-4-42-24-20000022-2-2004-420000−4i4i−4i4i000000000-2200000000000000002i−2i2i−2i00000000000000000000000000
χ824-44-400-24-442-4-42-24-20000022-2200-44-2000000000000000002-200000000000000000000−2i32i3−2i32i30000000000000000000000
χ834-44-400-24-442-4-42-24-20000022-2200-44-2000000000000000002-2000000000000000000002i3−2i32i3−2i30000000000000000000000
χ844-4-44004400-4-444-4-4400000-44-40000000000−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ854-4-44004400-4-444-4-4400000-44-400000000002i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ864-4-4400-24002-44-22-4-2000002-22023−230000000−2i22i22i2−2i20000000000023−2300000000000000i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ874-4-4400-24002-44-22-4-2000002-22023−2300000002i2−2i2−2i22i20000000000023−2300000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ884-4-4400-24002-44-22-4-2000002-220−23230000000−2i22i22i2−2i200000000000−232300000000000000i2−i2−i2i2−i6i6i6−i60000000000000000000000
χ894-4-4400-24002-44-22-4-2000002-220−232300000002i2−2i2−2i22i200000000000−232300000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ9088-8-88-8-4-400-4-4444420-44-442-2-200000000000000002-200000000000000000000000000000000000000000000000000000
χ9188-8-8-88-4-400-4-44444204-44-42-2-20000000000000000-2200000000000000000000000000000000000000000000000000000
χ928-88-800-4-48-84444-4-4200000-2-22-400-444000000000000000002-20000000000000000000000000000000000000000000000
χ938-88-800-4-4-884444-4-4200000-2-224004-4-400000000000000000-220000000000000000000000000000000000000000000000
χ948-8-88008-400-84-48-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40044-4-444200000-22-2043−430000000000000000000000−232300000000000000000000000000000000000000000000
χ968-8-8800-4-40044-4-444200000-22-20−4343000000000000000000000023−2300000000000000000000000000000000000000000000

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