Finite Group Databasebeta

← Group #11898327

Character table — Group #11898327

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242444448888121212122661212121212122424242424244444881212121224242424666121244244121212121212122424488624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-111111111111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-11111-1-1-1-1-1-111111-1-11-111-1-111-1-111-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-11111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-111-1-1-1-111-1-11111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-1-1-111111-1-11-11
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1111-1-11-1-1-1-111-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-1-1-1111-1-1-1-1-1-11-1-1-1111111-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-11111111-1-1-1-111-1111-1-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-111-11111-1-1111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-2-2000022-2-200000000022000-200000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2000022220000000-2-2000000-220000-2-2-2-2000000000-2-2000200000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-2220000-2-2-2-20000000-2-20000002-200002222000000000-2-2000-200000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-2000000220000-2-22200000000022000200000000-200000
χ2122222-122-12-12-12-122-1-1-122-122-1222200220000000022222-1-1-1-1-1-1-1-1-1-1020022-1-1000000-1-1-1-1-100202-100-1-100-1-1000-100
χ2222222-122-12-12-12-122-1-1-122-122-1222200-2-20000000022222-1-1-1-1-1-1-1-1-1-10-200-2-211000000-1-1-1-1-100-20-2100110011000100
χ2322222-122-12-12-12-122-1-1-1-2-2-122-1-2-2-2-2002200000000-2-2-222-1-1-1-11111110200-2-2-1-1000000111-1-100-202-100-1-10011000100
χ2422222-122-12-12-12-122-1-1-1-2-2-122-1-2-2-2-200-2-200000000-2-2-222-1-1-1-11111110-2002211000000111-1-10020-21001100-1-1000-100
χ2522222-122-12-12-12-1-2-2-1-1-122-122-12222002200000000-2-2-2-2-211-1-1-1-1-1-1-1-1020022-1-10000001111100-20-2-1001100-1-1000100
χ2622222-122-12-12-12-1-2-2-1-1-122-122-1222200-2-200000000-2-2-2-2-211-1-1-1-1-1-1-1-10-200-2-2110000001111100202100-1-10011000-100
χ2722222-122-12-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-2002200000000222-2-211-1-11111110200-2-2-1-1000000-1-1-1110020-2-100110011000-100
χ2822222-122-12-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-200000000222-2-211-1-11111110-2002211000000-1-1-11100-202100-1-100-1-1000100
χ292222-12222-12-12-1-122-1-1-1222-1-12-1-1-1-122002222-1-1-1-12-1-1-1-122-1-122-1-1-1-120220000-1-1-1-1-1-12-1-1-1-1000200-1-100-1-100000000
χ302222-12222-12-12-1-122-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-20-2-200001111112-1-1-1-1000-20011001100000000
χ312222-12222-12-12-1-122-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1-211-1-122-1-1-2-2111120-2-20000-1-11111-211-1-1000200-1-1001100000000
χ322222-12222-12-12-1-122-1-1-1-2-22-1-121111-2-20022221111-211-1-122-1-1-2-21111-2022000011-1-1-1-1-211-1-1000-2001100-1-100000000
χ332222-12222-12-12-1-1-2-2-1-1-1222-1-12-1-1-1-122002222-1-1-1-1-21111-2-2-1-122-1-1-1-120-2-20000-1-1-1-1-1-1-21111000-20011001100000000
χ342222-12222-12-12-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111-21111-2-2-1-122-1-1-1-1-20220000111111-21111000200-1-100-1-100000000
χ352222-12222-12-12-1-1-2-2-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-12-1-111-2-2-1-1-2-2111120220000-1-111112-1-111000-2001100-1-100000000
χ362222-12222-12-12-1-1-2-2-1-1-1-2-22-1-121111-2-200222211112-1-111-2-2-1-1-2-21111-20-2-2000011-1-1-1-12-1-111000200-1-1001100000000
χ372-22-222002-2-2-2-222002-2-2−i2i20000−i2−i2i2i22-22-2−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i20000−i2i22-200−i2−i2i2i2000002-20000000000−i2i20−i2i2000
χ382-22-222002-2-2-2-222002-2-2−i2i20000−i2−i2i2i22-2-22−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i20000i2−i2-2200−i2−i2i2i200000-220000000000i2−i20i2−i2000
χ392-22-222002-2-2-2-222002-2-2−i2i20000−i2−i2i2i2-222-2i2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i20000−i2i22-200i2i2−i2−i200000-220000000000−i2i20i2−i2000
χ402-22-222002-2-2-2-222002-2-2−i2i20000−i2−i2i2i2-22-22i2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i20000i2−i2-2200i2i2−i2−i2000002-20000000000i2−i20−i2i2000
χ412-22-222002-2-2-2-222002-2-2i2−i20000i2i2−i2−i22-22-2i2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i20000i2−i22-200i2i2−i2−i2000002-20000000000i2−i20i2−i2000
χ422-22-222002-2-2-2-222002-2-2i2−i20000i2i2−i2−i22-2-22i2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i20000−i2i2-2200i2i2−i2−i200000-220000000000−i2i20−i2i2000
χ432-22-222002-2-2-2-222002-2-2i2−i20000i2i2−i2−i2-222-2−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i20000i2−i22-200−i2−i2i2i200000-220000000000i2−i20−i2i2000
χ442-22-222002-2-2-2-222002-2-2i2−i20000i2i2−i2−i2-22-22−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i20000−i2i2-2200−i2−i2i2i2000002-20000000000−i2i20i2−i2000
χ452-2-22222-2-2-2-222-222i−2i-22-2002-22-2000000002-22-200000002i−2i2i−2i2-2000000002i−2i0000002-22-20002i−2i00000000002i−2i00000000
χ462-2-22222-2-2-2-222-222i−2i-22-2002-22-200000000-22-2200000002i−2i2i−2i2-200000000−2i2i000000-22-220002i−2i0000000000−2i2i00000000
χ472-2-22222-2-2-2-222-22−2i2i-22-2002-22-2000000002-22-20000000−2i2i−2i2i2-200000000−2i2i0000002-22-2000−2i2i0000000000−2i2i00000000
χ482-2-22222-2-2-2-222-22−2i2i-22-2002-22-200000000-22-220000000−2i2i−2i2i2-2000000002i−2i000000-22-22000−2i2i00000000002i−2i00000000
χ492-2-22-122-2-21-2-121-12i−2i1-110021-1-23−33−300002-22-23−33−30−i3i3−ii2i−2i-11003−33−3002i−2i00003−3-11-110−i3i3−ii000000−i3i300−ii00000000
χ502-2-22-122-2-21-2-121-12i−2i1-110021-1-23−33−30000-22-22−33−330−i3i3−ii2i−2i-11003−33−300−2i2i0000−331-11-10−i3i3−ii000000i3−i300i−i00000000
χ512-2-22-122-2-21-2-121-12i−2i1-110021-1-2−33−3300002-22-2−33−330i3−i3−ii2i−2i-1100−33−33002i−2i0000−33-11-110i3−i3−ii000000i3−i300−ii00000000
χ522-2-22-122-2-21-2-121-12i−2i1-110021-1-2−33−330000-22-223−33−30i3−i3−ii2i−2i-1100−33−3300−2i2i00003−31-11-10i3−i3−ii000000−i3i300i−i00000000
χ532-2-22-122-2-21-2-121-1−2i2i1-110021-1-23−33−300002-22-23−33−30i3−i3i−i−2i2i-11003−33−300−2i2i00003−3-11-110i3−i3i−i000000i3−i300i−i00000000
χ542-2-22-122-2-21-2-121-1−2i2i1-110021-1-23−33−30000-22-22−33−330i3−i3i−i−2i2i-11003−33−3002i−2i0000−331-11-10i3−i3i−i000000−i3i300−ii00000000
χ552-2-22-122-2-21-2-121-1−2i2i1-110021-1-2−33−3300002-22-2−33−330−i3i3i−i−2i2i-1100−33−3300−2i2i0000−33-11-110−i3i3i−i000000−i3i300i−i00000000
χ562-2-22-122-2-21-2-121-1−2i2i1-110021-1-2−33−330000-22-223−33−30−i3i3i−i−2i2i-1100−33−33002i−2i00003−31-11-10−i3i3i−i000000i3−i300−ii00000000
χ5744444-2-4-4-24-24-24-200-2-2-2002-4-4200000044000000000000000220000000-40000-2-20000000000000000200000000000000
χ5844444-2-4-4-24-24-24-200-2-2-2002-4-42000000-4-400000000000000022000000040000220000000000000000-200000000000000
χ594444-24-4-44-24-24-2-200-2-2-200-422-4000044000000-2-2-2-2000000022000000-400000002200000000000000000000000000000
χ604444-24-4-44-24-24-2-200-2-2-200-422-40000-4-4000000222200000002200000040000000-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000000004-2-222221122-1-1-1-100000000000000-211-1-100000000000000000000
χ6544-4-44400-444-4-4-4400-4-4400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ6644-4-44400-444-4-4-4400-4-44000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ6744-4-4-2400-4-242-42-20022-2000000i6−i6−i6i60000−2i22i22i2−2i2−232323−2300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ6844-4-4-2400-4-242-42-20022-2000000i6−i6−i6i600002i2−2i2−2i22i223−23−232300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ6944-4-4-2400-4-242-42-20022-2000000−i6i6i6−i60000−2i22i22i2−2i223−23−232300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ7044-4-4-2400-4-242-42-20022-2000000−i6i6i6−i600002i2−2i2−2i22i2−232323−2300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ714-44-44-200-2-42-424-200-222−2i22i20000−2i2−2i22i22i2004-400000000000000000i2−i2i2i2−i2−i20000−2i22i2-2200000000000000000000000i2−i2000000
χ724-44-44-200-2-42-424-200-222−2i22i20000−2i2−2i22i22i200-4400000000000000000i2−i2i2i2−i2−i200002i2−2i22-200000000000000000000000−i2i2000000
χ734-44-44-200-2-42-424-200-2222i2−2i200002i22i2−2i2−2i2004-400000000000000000−i2i2−i2−i2i2i200002i2−2i2-2200000000000000000000000−i2i2000000
χ744-44-44-200-2-42-424-200-2222i2−2i200002i22i2−2i2−2i200-4400000000000000000−i2i2−i2−i2i2i20000−2i22i22-200000000000000000000000i2−i2000000
χ754-44-4-240042-42-4-2-200-222−2i22i20000i2i2−i2−i24-400−2i2−2i22i22i2-2-222000000000−2i22i2i2i2−i2−i20000000000i2i2−i2−i20000000000000000000000000
χ764-44-4-240042-42-4-2-200-222−2i22i20000i2i2−i2−i2-44002i22i2−2i2−2i222-2-2000000000−2i22i2i2i2−i2−i20000000000−i2−i2i2i20000000000000000000000000
χ774-44-4-240042-42-4-2-200-2222i2−2i20000−i2−i2i2i24-4002i22i2−2i2−2i2-2-2220000000002i2−2i2−i2−i2i2i20000000000−i2−i2i2i20000000000000000000000000
χ784-44-4-240042-42-4-2-200-2222i2−2i20000−i2−i2i2i2-4400−2i2−2i22i22i222-2-20000000002i2−2i2−i2−i2i2i20000000000i2i2−i2−i20000000000000000000000000
χ794-4-4444-44-4-4-444-4400-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-24-42-424-2-4-24i−4i2-2200-2-44200000000000000000004i−4i−2i2i-2200000000000000000000000−2i2i00000000000000000000
χ814-4-444-24-42-424-2-4-2−4i4i2-2200-2-4420000000000000000000−4i4i2i−2i-22000000000000000000000002i−2i00000000000000000000
χ824-4-444-2-442-424-2-4-2002-220024-4-2000000000000000000000002-2000000000000000000000000000000000−2i32i30000000000
χ834-4-444-2-442-424-2-4-2002-220024-4-2000000000000000000000002-20000000000000000000000000000000002i3−2i30000000000
χ844-4-44-24-44-42-4-242-2002-2200-4-22400000000000023−2323−2300000002-200000000000000−232300000000000000000000000000000
χ854-4-44-24-44-42-4-242-2002-2200-4-224000000000000−2323−232300000002-20000000000000023−2300000000000000000000000000000
χ864-4-44-2-24-4222-2-2214i−4i-11-100-22-2223−2323−230000000000000−2i32i3−2i2i−2i2i1-100−33−33000000000000000i3−i3i−i00000000000000000000
χ874-4-44-2-24-4222-2-2214i−4i-11-100-22-22−2323−232300000000000002i3−2i3−2i2i−2i2i1-1003−33−3000000000000000−i3i3i−i00000000000000000000
χ884-4-44-2-24-4222-2-221−4i4i-11-100-22-2223−2323−2300000000000002i3−2i32i−2i2i−2i1-100−33−33000000000000000−i3i3−ii00000000000000000000
χ894-4-44-2-24-4222-2-221−4i4i-11-100-22-22−2323−23230000000000000−2i32i32i−2i2i−2i1-1003−33−3000000000000000i3−i3−ii00000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-88-40048-4-84-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4004-4-4444200-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ9388-8-8-4-4004-4-4444200-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ948-88-8-4-400-44444-42002-2-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ958-88-8-4-400-44444-42002-2-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ968-8-88-4-4-88444-4-44200-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000

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