Finite Group Databasebeta

← Group #11884113

Character table — Group #11884113

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444444444444444444888888888888888888121212121212121212121212242424242424242424242424242424242424363636367272
order12222233446666662344446666666661212121212121212121212121212666661212121212121212121212121222446666121212122444446612121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-11-111-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-11-1-11-111-1-111111-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-1-111-1-11111111111111-1-1-11-111-1-1-1-1-1-111-1-11111-1-1
χ61111111111111111-11-1-11-111-1-111111-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-111-1-1-1-111
χ71111111111111111-11-1-11-111-1-111111-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-111-1-1-111-1-11111-1-1-1-1-1-111
χ81111111111111111-11-1-11-111-1-111111-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1111111-1-1111111-1-1
χ91111-1-1111111111111-1-1-11-1-111-1-1111-1-1-1-111111111111-1-111-1-1-1-11-1-1-1-1-1-111111111111111-1-1-11-11-1-1-1-1-1-111-1-11111-1-1-11
χ101111-1-1111111111111-1-1-11-1-111-1-1111-1-1-1-111111111111-1-111-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1111-1
χ111111-1-1111111111111-1-1-11-1-111-1-1111-1-1-1-111111111111-1-111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111111-1-1-1-1-1-111-1-1111-1
χ121111-1-1111111111111-1-1-11-1-111-1-1111-1-1-1-111111111111-1-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111111-1-111-1-111-1-1-11
χ131111-1-11111111111-1111-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-111-1-11-1
χ141111-1-11111111111-1111-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-111-11
χ151111-1-11111111111-1111-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-1-1-111-11
χ161111-1-11111111111-1111-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-11-1
χ1722222222-2-2222222222-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000000000
χ1822222222-2-2222222-22-22-2222-2-222222-2-222-2-222-2-2-2-2-2-2-222-2-2-22-2-22-2-222-2-222000000000000000000000000000000000000
χ192222222-1222-12-1-122-122222222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12200-1-1-1-10000220200-1-1-1-100-1-10000000000
χ202222222-1222-12-1-122-122222222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-20011110000-2-20-200111100110000000000
χ212222222-1222-12-1-12-2-1-2-22-222-2-2-1-1-1-1-1-2-211-1-11122-1-1-1-11-1-1111-2-12-21111-1-1112200-1-1-1-100002-20-200-1-11100110000000000
χ222222222-1222-12-1-12-2-1-2-22-222-2-2-1-1-1-1-1-2-211-1-11122-1-1-1-11-1-1111-2-12-21111-1-111-2-20011110000-22020011-1-100-1-10000000000
χ232222222-1-2-22-12-1-122-12-2-2-22222-1-1-1-1-122111111-2-21111-1-1-1-1-1-1-21-2-2-1-11111110000−i3−i3i3i30000000000−i3i3−i3i300−i3i30000000000
χ242222222-1-2-22-12-1-122-12-2-2-22222-1-1-1-1-122111111-2-21111-1-1-1-1-1-1-21-2-2-1-11111110000i3i3−i3−i30000000000i3−i3i3−i300i3−i30000000000
χ252222222-1-2-22-12-1-12-2-1-22-2222-2-2-1-1-1-1-1-2-2-1-111-1-1-2-211111-1-111121-2211-1-111-1-10000−i3−i3i3i30000000000−i3i3i3−i300i3−i30000000000
χ262222222-1-2-22-12-1-12-2-1-22-2222-2-2-1-1-1-1-1-2-2-1-111-1-1-2-211111-1-111121-2211-1-111-1-10000i3i3−i3−i30000000000i3−i3−i3i300−i3i30000000000
χ27222222-1222-12-122-12-12222-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-100220000-1-1-1-10020220000-1-100-1-1-1-1000000
χ28222222-1222-12-122-12-12222-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-100-2-20000111100-20-2-2000011001111000000
χ29222222-1222-12-122-1-2-1-2-22-2-1-11122-1-1-111-2-222-2-2-1-1-1-1-1-1-2-1-111-212-111111-1-11100220000-1-1-1-100-202-200001100-1-111000000
χ30222222-1222-12-122-1-2-1-2-22-2-1-11122-1-1-111-2-222-2-2-1-1-1-1-1-1-2-1-111-212-111111-1-11100-2-2000011110020-220000-1-10011-1-1000000
χ31222222-12-2-2-12-122-12-12-2-2-2-1-1-1-122-1-1-1-1-1-2-2-2-2-2-21111112-1-1-1-121-211-1-111111100000000−i3−i3i3i30000000000−i3i300−i3i3−i3i3000000
χ32222222-12-2-2-12-122-12-12-2-2-2-1-1-1-122-1-1-1-1-1-2-2-2-2-2-21111112-1-1-1-121-211-1-111111100000000i3i3−i3−i30000000000i3−i300i3−i3i3−i3000000
χ33222222-12-2-2-12-122-1-2-1-22-22-1-11122-1-1-11122-2-222111111-2-1-111-2-1-21-111-1-111-1-100000000−i3−i3i3i30000000000i3−i300−i3i3i3−i3000000
χ34222222-12-2-2-12-122-1-2-1-22-22-1-11122-1-1-11122-2-222111111-2-1-111-2-1-21-111-1-111-1-100000000i3i3−i3−i30000000000−i3i300i3−i3−i3i3000000
χ352222-2-222-2-222222222-222-2-2-222-2-2222-2-222-2-2-2-2-2-2-2-2-2-22-2-222-2222-2-2-22222-2-2000000000000000000000000000000000000
χ362222-2-222-2-2222222-222-222-2-2-2-2-2-222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-22-222222-2-22222000000000000000000000000000000000000
χ372222-2-22-1222-12-1-122-1-2-2-22-2-22211-1-1-1-2-211-1-1-1-122-1-1-1-1-111-1-11-21-22111111-1-12200-1-1-1-10000-2-20200111100-1-10000000000
χ382222-2-22-1222-12-1-122-1-2-2-22-2-22211-1-1-1-2-211-1-1-1-122-1-1-1-1-111-1-11-21-22111111-1-1-2-20011110000220-200-1-1-1-100110000000000
χ392222-2-22-1222-12-1-12-2-122-2-2-2-2-2-211-1-1-122-1-1-1-11122-1-1-1-111111-121-2-2-1-1-1-111112200-1-1-1-10000-220-20011-1-100110000000000
χ402222-2-22-1222-12-1-12-2-122-2-2-2-2-2-211-1-1-122-1-1-1-11122-1-1-1-111111-121-2-2-1-1-1-11111-2-200111100002-20200-1-11100-1-10000000000
χ412222-2-22-1-2-22-12-1-122-1-222-2-2-22211-1-1-1-2-2-1-11111-2-21111-111-1-112-12-211-1-1-1-1110000−i3−i3i3i30000000000i3−i3i3−i300−i3i30000000000
χ422222-2-22-1-2-22-12-1-122-1-222-2-2-22211-1-1-1-2-2-1-11111-2-21111-111-1-112-12-211-1-1-1-1110000i3i3−i3−i30000000000−i3i3−i3i300i3−i30000000000
χ432222-2-22-1-2-22-12-1-12-2-12-222-2-2-2-211-1-1-1221111-1-1-2-2111111111-1-2-122-1-111-1-1-1-10000−i3−i3i3i30000000000i3−i3−i3i300i3−i30000000000
χ442222-2-22-1-2-22-12-1-12-2-12-222-2-2-2-211-1-1-1221111-1-1-2-2111111111-1-2-122-1-111-1-1-1-10000i3i3−i3−i30000000000−i3i3i3−i300−i3i30000000000
χ452222-2-2-1222-12-122-12-1-2-2-2211-1-1-2-2-1-1-111-2-22222-1-1-1-1-1-1211-1-1-21-21-1111111-1-100220000-1-1-1-100-20-220000110011-1-1000000
χ462222-2-2-1222-12-122-12-1-2-2-2211-1-1-2-2-1-1-111-2-22222-1-1-1-1-1-1211-1-1-21-21-1111111-1-100-2-20000111100202-20000-1-100-1-111000000
χ472222-2-2-1222-12-122-1-2-122-2-21111-2-2-1-1-1-1-12222-2-2-1-1-1-1-1-1-211112-1-211-1-1-1-1111100220000-1-1-1-10020-2-20000-1-1001111000000
χ482222-2-2-1222-12-122-1-2-122-2-21111-2-2-1-1-1-1-12222-2-2-1-1-1-1-1-1-211112-1-211-1-1-1-1111100-2-20000111100-202200001100-1-1-1-1000000
χ492222-2-2-12-2-2-12-122-12-1-222-211-1-1-2-2-1-1-11122-2-2-2-2111111211-1-1-2-12-1111-1-1-1-11100000000−i3−i3i3i30000000000i3−i300i3−i3−i3i3000000
χ502222-2-2-12-2-2-12-122-12-1-222-211-1-1-2-2-1-1-11122-2-2-2-2111111211-1-1-2-12-1111-1-1-1-11100000000i3i3−i3−i30000000000−i3i300−i3i3i3−i3000000
χ512222-2-2-12-2-2-12-122-1-2-12-2221111-2-2-1-1-1-1-1-2-2-2-222111111-21111212-1-1-1-111-1-1-1-100000000−i3−i3i3i30000000000−i3i300i3−i3i3−i3000000
χ522222-2-2-12-2-2-12-122-1-2-12-2221111-2-2-1-1-1-1-1-2-2-2-222111111-21111212-1-1-1-111-1-1-1-100000000i3i3−i3−i30000000000i3−i300−i3i3−i3i3000000
χ532-2-220022-22-2-2-2-222020000000000-2-2200002-2002-222-2-20000000000000000002-22-22-22-22-22-20000000000000000002-20000
χ542-2-220022-22-2-2-2-222020000000000-2-2200002-2002-222-2-20000000000000000002-2-222-22-2-22-22000000000000000000-220000
χ552-2-220022-22-2-2-2-222020000000000-2-2200002-2002-222-2-2000000000000000000-222-2-22-222-22-2000000000000000000-220000
χ562-2-220022-22-2-2-2-222020000000000-2-2200002-2002-222-2-2000000000000000000-22-22-22-22-22-220000000000000000002-20000
χ57444444-2-244-2-2-2-2-2-2414444-2-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-21111-21111-2-2-2-2-211111111000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-41-4-44-4-2-222-2-21112222-2-222-2-21111211-1-122-2-22-1-1-1-111-1-1000000000000000000000000000000000000
χ59444444-2-2-4-4-2-2-2-2-2-2414-4-4-4-2-2-2-2-2-2111-2-222222222-1-1-1-1-21111-2222211-1-1-1-1-1-1000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-41-44-44-2-222-2-211122-2-222-2-222-1-1-1-1211-1-12-222-2-1-111-1-111000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-241-4-4-4422-2-2221112222-2-2-2-2-2-21111-2-1-1112222-2-1-1-1-1-1-111000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-2-4144-4-4222222111-2-2-2-2-2-222-2-211112-1-1-1-1-2-22221111-1-1-1-1000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-241-444-422-2-22211122-2-2222222-1-1-1-1-2-1-1112-2-2-22-1-11111-1-1000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-2-414-444222222111-2-22222-2-222-1-1-1-12-1-1-1-1-22-2-2-211-1-11111000000000000000000000000000000000000
χ6544-4-44-4440044-4-4-4-40400004-4004-44-4-40000000000000004-4000000000000000000000000000000000000000000000000000
χ6644-4-44-44-2004-2-422-40-200004-400-22-2220023−230023−230000000-2200000000023−230023−23000000000000000000000000000000000000
χ6744-4-44-44-2004-2-422-40-200004-400-22-22200−232300−23230000000-22000000000−232300−2323000000000000000000000000000000000000
χ6844-4-44-4-2400-242-4-420-20000-22−2i32i34-4-222−2i32i30000000000000-22−2i32i300000−2i32i3000000000000000000000000000000000000000000
χ6944-4-44-4-2400-242-4-420-20000-222i3−2i34-4-2222i3−2i30000000000000-222i3−2i3000002i3−2i3000000000000000000000000000000000000000000
χ7044-4-44-4-2-200-2-22222010000-22−2i32i3-221-1-1−2i32i323−230023−23003i−3i3i−3i01-1i3−i300000i3−i3−333i−3i−33000000000000000000000000000000000000
χ7144-4-44-4-2-200-2-22222010000-22−2i32i3-221-1-1−2i32i3−232300−232300−3i3i−3i3i01-1i3−i300000i3−i33−3−3i3i3−3000000000000000000000000000000000000
χ7244-4-44-4-2-200-2-22222010000-222i3−2i3-221-1-12i3−2i323−230023−2300−3i3i−3i3i01-1−i3i300000−i3i3−33−3i3i−33000000000000000000000000000000000000
χ7344-4-44-4-2-200-2-22222010000-222i3−2i3-221-1-12i3−2i3−232300−2323003i−3i3i−3i01-1−i3i300000−i3i33−33i−3i3−3000000000000000000000000000000000000
χ7444-4-4-44440044-4-4-4-4040000-4400-444-4-4000000000000000-44000000000000000000000000000000000000000000000000000
χ7544-4-4-444-2004-2-422-40-20000-44002-2-2220023−2300−232300000002-200000000023−2300−2323000000000000000000000000000000000000
χ7644-4-4-444-2004-2-422-40-20000-44002-2-22200−23230023−2300000002-2000000000−23230023−23000000000000000000000000000000000000
χ7744-4-4-44-2400-242-4-420-200002-2−2i32i3-44-2222i3−2i300000000000002-2−2i32i3000002i3−2i3000000000000000000000000000000000000000000
χ7844-4-4-44-2400-242-4-420-200002-22i3−2i3-44-222−2i32i300000000000002-22i3−2i300000−2i32i3000000000000000000000000000000000000000000
χ7944-4-4-44-2-200-2-222220100002-2−2i32i32-21-1-12i3−2i323−2300−232300−3i3i−3i3i0-11i3−i300000−i3i3−333i−3i3−3000000000000000000000000000000000000
χ8044-4-4-44-2-200-2-222220100002-2−2i32i32-21-1-12i3−2i3−23230023−23003i−3i3i−3i0-11i3−i300000−i3i33−3−3i3i−33000000000000000000000000000000000000
χ8144-4-4-44-2-200-2-222220100002-22i3−2i32-21-1-1−2i32i323−2300−2323003i−3i3i−3i0-11−i3i300000i3−i3−33−3i3i3−3000000000000000000000000000000000000
χ8244-4-4-44-2-200-2-222220100002-22i3−2i32-21-1-1−2i32i3−23230023−2300−3i3i−3i3i0-11−i3i300000i3−i33−33i−3i−33000000000000000000000000000000000000
χ834-44-4004400-4-444-4-4040000000000-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ844-44-4004400-4-444-4-4040000000000-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ854-4-4400444-4-4-4-4-444040000000000-4-440000-4400-44-4-444000000000000000000000000000000000000000000000000000000
χ864-4-44004-24-4-42-42-240-2000000000022-200002-200-4422-2-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ874-4-44004-24-4-42-42-240-2000000000022-200002-200-4422-2-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ884-4-44004-2-44-42-42-240-2000000000022-20000-22004-4-2-2220000000000000000004-400-22-220000000000000000000000000000
χ894-4-44004-2-44-42-42-240-2000000000022-20000-22004-4-2-222000000000000000000-44002-22-20000000000000000000000000000
χ904-4-4400-244-42-42-44-20-2000000000022-20000-44002-222-2-200000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ914-4-4400-244-42-42-44-20-2000000000022-20000-44002-222-2-2000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ924-4-4400-24-442-42-44-20-2000000000022-200004-400-22-2-222000000000000000000004-40000-22-22000000000000000000000000
χ934-4-4400-24-442-42-44-20-2000000000022-200004-400-22-2-22200000000000000000000-4400002-22-2000000000000000000000000
χ948-88-8008-400-848-44-80-400000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-48004-8-48-840-400000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40044-4-444020000000000-22-200000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ978-88-800-4-40044-4-444020000000000-22-20000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-48-84444-4-4020000000000-2-2200004-4004-4-2-222000000000000000000000000000000000000000000000000000000
χ998-8-8800-4-4-884444-4-4020000000000-2-220000-4400-4422-2-2000000000000000000000000000000000000000000000000000000

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