Finite Group Databasebeta

← Group #11878918

Character table — Group #11878918

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order122222334466666666663466666666612121212121244444444121212121212121212121212121212121212121212488881212121212121212444412121212242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-111-1-111-11-11
χ111111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-111-11-1-1-111-1-11111-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-111-11-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1111111-1-1-1-11-11-1-1-111-1-111-1-1111-11-1
χ131111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-11-1-111-1-111-1-111-1-11111-1-1-1-1111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1111-1-11
χ141111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-11-1-111-1-111-1-111-1-11111-1-1-1-11-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-111-1
χ151111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-11111-11-1111-1-111-1-1-1-111-111-1
χ161111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-1-11-1-1-111-1-11111-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-11-1-11
χ1722222222-2-222222222222-2222222222-2-2-2-2-2-22222-2-200-200000000-2-2-2-200000000-2000022-2-222-2-200000000000000000000
χ1822222222-2-222222222222-2222222222-2-2-2-2-2-2-2-2-2-22200-200000000-2-2-2-20000000020000-2-222-2-22200000000000000000000
χ192222222-1222-1-1-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-10220-1-1-1-1000000000000
χ202222222-1222-1-1-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-122222222-2-22-2-2-2-21111-1-1-1-11111111120000-1-1-1-1-1-1-1-10-2-201111000000000000
χ212222222-1222-1-1-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20000111111110-2-201111000000000000
χ222222222-1222-1-1-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22-2-2-2-21111-1-1-1-111111111-20000111111110220-1-1-1-1000000000000
χ232222222-1-2-22-1-1-1-12-1-12-1-1-222-1-1-1-1-1-1-11111-2-22222-2-200-20000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-20000-1-111-1-1110000−i3i3−i3i3000000000000
χ242222222-1-2-22-1-1-1-12-1-12-1-1-222-1-1-1-1-1-1-11111-2-22222-2-200-20000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-20000-1-111-1-1110000i3−i3i3−i3000000000000
χ252222222-1-2-22-1-1-1-12-1-12-1-1-222-1-1-1-1-1-1-11111-2-2-2-2-2-22200-20000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i32000011-1-111-1-10000i3−i3i3−i3000000000000
χ262222222-1-2-22-1-1-1-12-1-12-1-1-222-1-1-1-1-1-1-11111-2-2-2-2-2-22200-20000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i32000011-1-111-1-10000−i3i3−i3i3000000000000
χ27222222-1222-12222-122-12-12-1-1-1-1-1-1-1-1-12222-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1022220000000020020000-1-1-1-10000-1-100
χ28222222-1222-12222-122-12-12-1-1-1-1-1-1-1-1-12222-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000-200-20000111100001100
χ29222222-1222-12222-122-12-12-1-1-1-1-1-1-1-1-12222-1-1000000-2-2-11111-2-2-2-2-1-1-1-1111111110222200000000-200-20000-1-1-1-100001100
χ30222222-1222-12222-122-12-12-1-1-1-1-1-1-1-1-12222-1-1000000-2-2-11111-2-2-2-2-1-1-1-1111111110-2-2-2-2000000002002000011110000-1-100
χ312222-2-222-2-22-2-2-2-22222222-2-222-2-2-2-22-2-222-2-222-2-2-2-200200000000-2-222000000002000022-2-2-2-22200000000000000000000
χ322222-2-222-2-22-2-2-2-22222222-2-222-2-2-2-22-2-222-2-2-2-2222200200000000-2-22200000000-20000-2-22222-2-200000000000000000000
χ332222-2-22-122211112-1-12-1-1-2-2-2-1-11111-1-1-1112222-2-2222-2-222-2-2-1-111-1-111-1-1-1-11111-20000-1-1-1-1111102-20-1-111000000000000
χ342222-2-22-122211112-1-12-1-1-2-2-2-1-11111-1-1-1112222-2-222-22-2-2-22211-1-1-1-1111111-1-1-1-1-20000-1-1-1-111110-22011-1-1000000000000
χ352222-2-22-122211112-1-12-1-1-2-2-2-1-11111-1-1-11122-2-222-2-22-2-222-2-2-1-111-1-111-1-1-1-11111200001111-1-1-1-10-22011-1-1000000000000
χ362222-2-22-122211112-1-12-1-1-2-2-2-1-11111-1-1-11122-2-222-2-2-22-2-2-22211-1-1-1-1111111-1-1-1-1200001111-1-1-1-102-20-1-111000000000000
χ372222-2-22-1-2-2211112-1-12-1-12-2-2-1-11111-111-1-1-2-222-2-2-2-20020000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i320000-1-11111-1-10000−i3i3i3−i3000000000000
χ382222-2-22-1-2-2211112-1-12-1-12-2-2-1-11111-111-1-1-2-222-2-2-2-20020000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i320000-1-11111-1-10000i3−i3−i3i3000000000000
χ392222-2-22-1-2-2211112-1-12-1-12-2-2-1-11111-111-1-1-2-2-2-222220020000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2000011-1-1-1-1110000i3−i3−i3i3000000000000
χ402222-2-22-1-2-2211112-1-12-1-12-2-2-1-11111-111-1-1-2-2-2-222220020000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2000011-1-1-1-1110000−i3i3i3−i3000000000000
χ412222-2-2-1222-1-2-2-2-2-122-12-1-211-1-11111-122-2-2-1-10000002-21-1-11122-2-2-1-111-1-1-1-11111022-2-200000000200-20000-1-1110000-1100
χ422222-2-2-1222-1-2-2-2-2-122-12-1-211-1-11111-122-2-2-1-10000002-21-1-11122-2-2-1-111-1-1-1-111110-2-22200000000-2002000011-1-100001-100
χ432222-2-2-1222-1-2-2-2-2-122-12-1-211-1-11111-122-2-2-1-1000000-22111-1-1-2-222-1-1111111-1-1-1-1022-2-200000000-20020000-1-11100001-100
χ442222-2-2-1222-1-2-2-2-2-122-12-1-211-1-11111-122-2-2-1-1000000-22111-1-1-2-222-1-1111111-1-1-1-10-2-22200000000200-2000011-1-10000-1100
χ4522-2-22-22200222-2-2-22-2-2-2202-22-222-2-2-20000002-22-2000000000000000000000000002−22−22-2002-200000000002−22−22−22−20000
χ4622-2-22-22200222-2-2-22-2-2-2202-22-222-2-2-20000002-22-200000000000000000000000000−22−222-2002-20000000000−22−22−22−220000
χ4722-2-22-22200222-2-2-22-2-2-2202-22-222-2-2-2000000-22-22000000000000000000000000002−22−2-2200-2200000000002−22−2−22−220000
χ4822-2-22-22200222-2-2-22-2-2-2202-22-222-2-2-2000000-22-2200000000000000000000000000−22−22-2200-220000000000−22−222−22−20000
χ4922-2-2-2222002-2-222-22-2-2-220-222-2-2-222-20000002-2-22000000000000000000000000002−2−222-200-2200000000002−2−222−2−220000
χ5022-2-2-2222002-2-222-22-2-2-220-222-2-2-222-20000002-2-2200000000000000000000000000−222−22-200-220000000000−222−2−222−20000
χ5122-2-2-2222002-2-222-22-2-2-220-222-2-2-222-2000000-222-2000000000000000000000000002−2−22-22002-200000000002−2−22−222−20000
χ5222-2-2-2222002-2-222-22-2-2-220-222-2-2-222-2000000-222-200000000000000000000000000−222−2-22002-20000000000−222−22−2−220000
χ53444444-24-4-4-24444-244-24-2-4-2-2-2-2-2-2-2-2-2-4-4-4-42200000000200000000222200000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-200000044-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-2000000-4-4-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-211111112222220000000020000−2i32i3−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-2111111122222200000000200002i3−2i32i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ584444-4-4-24-4-4-2-4-4-4-4-244-24-2422-2-22222-2-4-4442200000000-20000000022-2-200000000000000000000000000000000000000000
χ594444-4-4-2-244-22222-2-2-2-2-21-42211-1-1-1-11-2-222-2-20000004-42-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000
χ604444-4-4-2-244-22222-2-2-2-2-21-42211-1-1-1-11-2-222-2-2000000-44222-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ614444-4-4-2-2-4-4-22222-2-2-2-2-2142211-1-1-1-1122-2-22200000000-20000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ624444-4-4-2-2-4-4-22222-2-2-2-2-2142211-1-1-1-1122-2-22200000000-200002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ6344-4-44-44-2004-2-222-4-22-42-204-4-22-2-22220000004-44-4000000000000000000000000000000-2200-220000000000000000000000
χ6444-4-44-44-2004-2-222-4-22-42-204-4-22-2-2222000000-44-440000000000000000000000000000002-2002-20000000000000000000000
χ6544-4-44-4-2400-244-4-424-42-4-20-22-22-2-222200000000000000000000000000000000000022−2222−220000000000000000−22−2200000000
χ6644-4-44-4-2400-244-4-424-42-4-20-22-22-2-2222000000000000000000000000000000000000−2222−222200000000000000002−22−200000000
χ6744-4-4-444-200422-2-2-4-22-42-20-44-2222-2-220000004-4-44000000000000000000000000000000-22002-20000000000000000000000
χ6844-4-4-444-200422-2-2-4-22-42-20-44-2222-2-22000000-444-40000000000000000000000000000002-200-220000000000000000000000
χ6944-4-4-44-2400-2-4-44424-42-4-202-2-2222-2-2200000000000000000000000000000000000022−22−22220000000000000000−222−200000000
χ7044-4-4-44-2400-2-4-44424-42-4-202-2-2222-2-22000000000000000000000000000000000000−222222−2200000000000000002−2−2200000000
χ714-44-4004400-400004-44-4-44000-440000-400000000004-40000000000000000000000000000004-4000000000000000000000000
χ724-44-4004400-400004-44-4-44000-440000-40000000000-44000000000000000000000000000000-44000000000000000000000000
χ734-44-4004-200-4−2i32i3−2i32i342-2-42-20002-2−2i32i3−2i32i3200000000004-4000000000000000000000000000000-2200−2i32i300000000000000000000
χ744-44-4004-200-4−2i32i3−2i32i342-2-42-20002-2−2i32i3−2i32i320000000000-440000000000000000000000000000002-2002i3−2i300000000000000000000
χ754-44-4004-200-42i3−2i32i3−2i342-2-42-20002-22i3−2i32i3−2i3200000000004-4000000000000000000000000000000-22002i3−2i300000000000000000000
χ764-44-4004-200-42i3−2i32i3−2i342-2-42-20002-22i3−2i32i3−2i320000000000-440000000000000000000000000000002-200−2i32i300000000000000000000
χ774-4-4400444-4-40000-4-4-4444000-4-4000044-4004-4000000000000000004-40000000000000000000000000000000000000000000
χ784-4-440044-44-40000-4-4-4444000-4-400004-4400-4400000000000000000-440000000000000000000000000000000000000000000
χ794-4-44004-24-4-4−2i32i32i3−2i3-4224-2-200022−2i32i32i3−2i3-2-22−2i32i34-400000000000000000-22−2i32i300000000000000000000000000000000000000000
χ804-4-44004-24-4-42i3−2i3−2i32i3-4224-2-2000222i3−2i3−2i32i3-2-222i3−2i34-400000000000000000-222i3−2i300000000000000000000000000000000000000000
χ814-4-44004-2-44-4−2i32i32i3−2i3-4224-2-200022−2i32i32i3−2i3-22-22i3−2i3-44000000000000000002-22i3−2i300000000000000000000000000000000000000000
χ824-4-44004-2-44-42i3−2i3−2i32i3-4224-2-2000222i3−2i3−2i32i3-22-2−2i32i3-44000000000000000002-2−2i32i300000000000000000000000000000000000000000
χ834-4-4400-244-4200002-4-4-24-2000220000-24-400-2200000000000−2i32i30000-22000000−2i32i3−2i32i3000000000000000000000000000000000
χ844-4-4400-244-4200002-4-4-24-2000220000-24-400-22000000000002i3−2i30000-220000002i3−2i32i3−2i3000000000000000000000000000000000
χ854-4-4400-24-44200002-4-4-24-2000220000-2-44002-2000000000−2i32i30000002-200−2i32i3−2i32i30000000000000000000000000000000000000
χ864-4-4400-24-44200002-4-4-24-2000220000-2-44002-20000000002i3−2i30000002-2002i3−2i32i3−2i30000000000000000000000000000000000000
χ874-4-4400-2-24-42−2i32i32i3−2i3222-2-21000-1-1i3−i3−i3i31-22−2i32i3-2200000000000−2i32i300001-1i3−i33-3-33i3−i3i3−i3000000000000000000000000000000000
χ884-4-4400-2-24-42−2i32i32i3−2i3222-2-21000-1-1i3−i3−i3i31-22−2i32i3-22000000000002i3−2i300001-1i3−i3-333-3−i3i3−i3i3000000000000000000000000000000000
χ894-4-4400-2-24-422i3−2i3−2i32i3222-2-21000-1-1−i3i3i3−i31-222i3−2i3-2200000000000−2i32i300001-1−i3i3-333-3i3−i3i3−i3000000000000000000000000000000000
χ904-4-4400-2-24-422i3−2i3−2i32i3222-2-21000-1-1−i3i3i3−i31-222i3−2i3-22000000000002i3−2i300001-1−i3i33-3-33−i3i3−i3i3000000000000000000000000000000000
χ914-4-4400-2-2-442−2i32i32i3−2i3222-2-21000-1-1i3−i3−i3i312-22i3−2i32-2000000000−2i32i3000000-11−i3i3i3−i3i3−i33-3-33000000000000000000000000000000000
χ924-4-4400-2-2-442−2i32i32i3−2i3222-2-21000-1-1i3−i3−i3i312-22i3−2i32-20000000002i3−2i3000000-11−i3i3−i3i3−i3i3-333-3000000000000000000000000000000000
χ934-4-4400-2-2-4422i3−2i3−2i32i3222-2-21000-1-1−i3i3i3−i312-2−2i32i32-2000000000−2i32i3000000-11i3−i3i3−i3i3−i3-333-3000000000000000000000000000000000
χ944-4-4400-2-2-4422i3−2i3−2i32i3222-2-21000-1-1−i3i3i3−i312-2−2i32i32-20000000002i3−2i3000000-11i3−i3−i3i3−i3i33-3-33000000000000000000000000000000000
χ9588-8-88-8-4-400-4-4-4444-444420-442-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-88-4-400-444-4-44-4444204-42-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800-480040000-4-884-8-40004-40000400000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4004−4i34i3−4i34i3-44-4442000-222i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40044i3−4i34i3−4i3-44-4442000-22−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000000

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