Finite Group Databasebeta

← Group #11889246

Character table — Group #11889246

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12223344446666661212121223446666612121212121212121212121212124666121212121212121212121212121212122224448888121212122424242424242424444666121212121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-11-1-111-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-111111-1-1-1-11111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1
χ61111111111111111111111-1-111111-1-1-1-11111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1111111-1-111
χ71111111111111111111111-1-111111-1-1-1-11111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-111111-1-1-1-11111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1111-11-111-1-111-1-11111-1-1-1-11-1-1111-1-1-111-1-11-1-11
χ10111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-111-11-1111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-1-111-111-1
χ11111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-1111111-11-1-1-11111-1-1-111-1
χ12111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-111-1-1-1111-1-1111-1-11
χ13111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111111-11-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1111-11-1
χ14111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1111111-11-11-1-111-1-111-1-1-1-111111-1-1-1111-1-111-1-1-11-11
χ15111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-11-11-111-1-111-1-11111-1-1-1-1-1111-1-1-111-1-111-11-11
χ16111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-11-11-1
χ1722222222-2-22222222222-2200-2-22220000-2-2-2222222-20-2-2-2000000-2-200000000002-2-220000-2-2-2-20000000000020020000000000
χ1822222222-2-22222222222-2200-2-22220000-2-2-2222222-20-2-2-2000000-2-20000000000-222-20000222200000000000-200-20000000000
χ19222222-2-2-2-2222222-2-2-2-22200222220000-2-2-2-2-2-2-2-2-2-20222000000-2-2000000000022-2-20000-2-22200000000000200-20000000000
χ20222222-2-2-2-2222222-2-2-2-22200222220000-2-2-2-2-2-2-2-2-2-20222000000-2-20000000000-2-222000022-2-200000000000-20020000000000
χ2122222-12222-1-12-122-1-1-1-12-122-1-1-1-1-12222-12222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-10200-1-10-1-100000000
χ2222222-12222-1-12-122-1-1-1-12-122-1-1-1-1-12222-12222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000111111110-2001101100000000
χ2322222-12222-1-12-122-1-1-1-12-1-2-2-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-22-1-11111-2-2-1-111111111220000-2-2-2-20000111111110200-1-10-1-100000000
χ2422222-12222-1-12-122-1-1-1-12-1-2-2-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-22-1-11111-2-2-1-111111111-2-2000022220000-1-1-1-1-1-1-1-10-2001101100000000
χ2522222-1-2-222-1-12-1221111-2-12211-1-1-12222-122-2-21111-1-2-211-1-111-2-2-1-1-1-1-1-1111122000022-2-20000-1-1-1-111110-200-1-101100000000
χ2622222-1-2-222-1-12-1221111-2-12211-1-1-12222-122-2-21111-1-2-211-1-111-2-2-1-1-1-1-1-11111-2-20000-2-22200001111-1-1-1-10200110-1-100000000
χ2722222-1-2-222-1-12-1221111-2-1-2-211-1-1-1-2-2-2-2-122-2-21111-12-21111-1-122-1-11111-1-1-1-1220000-2-22200001111-1-1-1-10-200-1-101100000000
χ2822222-1-2-222-1-12-1221111-2-1-2-211-1-1-1-2-2-2-2-122-2-21111-12-21111-1-122-1-11111-1-1-1-1-2-2000022-2-20000-1-1-1-111110200110-1-100000000
χ292222-12222222-12-1-122222-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-100000000202-100-100-1-1-1-10000
χ302222-12222222-12-1-122222-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000111100000000-20-210010011110000
χ312222-12222222-12-1-122222-1-2-222-1-1-111112-1-1-1-1-1-1-1-12-2-1-1-1-2-2-2-211-1-1111111110022220000-1-1-1-100000000-20-2-100-10011110000
χ322222-12222222-12-1-122222-1-2-222-1-1-111112-1-1-1-1-1-1-1-12-2-1-1-1-2-2-2-211-1-11111111100-2-2-2-20000111100000000202100100-1-1-1-10000
χ332222-1222-2-222-12-1-12222-2-100-2-2-1-1-1−i3−i3i3i3-211-1-1-1-1-1-1-201110000−i3i311−i3−i3i3i3−i3−i3i3i3002-2-220000111100000000000-100-100−i3i3−i3i30000
χ342222-1222-2-222-12-1-12222-2-100-2-2-1-1-1−i3−i3i3i3-211-1-1-1-1-1-1-201110000−i3i311−i3−i3i3i3−i3−i3i3i300-222-20000-1-1-1-100000000000100100i3−i3i3−i30000
χ352222-1222-2-222-12-1-12222-2-100-2-2-1-1-1i3i3−i3−i3-211-1-1-1-1-1-1-201110000i3−i311i3i3−i3−i3i3i3−i3−i3002-2-220000111100000000000-100-100i3−i3i3−i30000
χ362222-1222-2-222-12-1-12222-2-100-2-2-1-1-1i3i3−i3−i3-211-1-1-1-1-1-1-201110000i3−i311i3i3−i3−i3i3i3−i3−i300-222-20000-1-1-1-100000000000100100−i3i3−i3i30000
χ372222-12-2-22222-12-1-1-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12-1-11111112-211122-2-211-1-1-1-1-1-11111002-22-20000-1-1110000000020-2-100100-1-1110000
χ382222-12-2-22222-12-1-1-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12-1-11111112-211122-2-211-1-1-1-1-1-1111100-22-22000011-1-100000000-202100-10011-1-10000
χ392222-12-2-22222-12-1-1-2-2-2-2-2-1-2-2-2-2-1-1-111112-1-111111122111-2-222-1-1-1-11111-1-1-1-1002-22-20000-1-11100000000-202-10010011-1-10000
χ402222-12-2-22222-12-1-1-2-2-2-2-2-1-2-2-2-2-1-1-111112-1-111111122111-2-222-1-1-1-11111-1-1-1-100-22-22000011-1-10000000020-2100-100-1-1110000
χ412222-12-2-2-2-222-12-1-1-2-2-2-22-10022-1-1-1−i3−i3i3i3-211111111-20-1-1-10000i3−i311−i3−i3i3i3i3i3−i3−i30022-2-2000011-1-100000000000-100100−i3i3i3−i30000
χ422222-12-2-2-2-222-12-1-1-2-2-2-22-10022-1-1-1−i3−i3i3i3-211111111-20-1-1-10000i3−i311−i3−i3i3i3i3i3−i3−i300-2-2220000-1-11100000000000100-100i3−i3−i3i30000
χ432222-12-2-2-2-222-12-1-1-2-2-2-22-10022-1-1-1i3i3−i3−i3-211111111-20-1-1-10000−i3i311i3i3−i3−i3−i3−i3i3i30022-2-2000011-1-100000000000-100100i3−i3−i3i30000
χ442222-12-2-2-2-222-12-1-1-2-2-2-22-10022-1-1-1i3i3−i3−i3-211111111-20-1-1-10000−i3i311i3i3−i3−i3−i3−i3i3i300-2-2220000-1-11100000000000100-100−i3i3i3−i30000
χ452-22-222002-2-2-2-222-20000022i−2i002-2-22i−2i2i−2i22-2000000-200002i−2i00002-22i−2i2i−2i00002-200002i−2i0000002i2i−2i−2i000000002-200000000000
χ462-22-222002-2-2-2-222-20000022i−2i002-2-22i−2i2i−2i22-2000000-200002i−2i00002-22i−2i2i−2i0000-220000−2i2i000000−2i−2i2i2i00000000-2200000000000
χ472-22-222002-2-2-2-222-2000002−2i2i002-2-2−2i2i−2i2i22-2000000-20000−2i2i00002-2−2i2i−2i2i00002-20000−2i2i000000−2i−2i2i2i000000002-200000000000
χ482-22-222002-2-2-2-222-2000002−2i2i002-2-2−2i2i−2i2i22-2000000-20000−2i2i00002-2−2i2i−2i2i0000-2200002i−2i0000002i2i−2i−2i00000000-2200000000000
χ492-22-22-1002-211-2-12-2−i3−i3i3i30-12i−2i−i3i3-1112i−2i2i−2i-12-200−i3−i3i3i3100−i3i3−ii3−300-11−ii−ii3−33−32-200002i−2i000000−i−iii33−3−30000-110−i3i300000000
χ502-22-22-1002-211-2-12-2−i3−i3i3i30-12i−2i−i3i3-1112i−2i2i−2i-12-200−i3−i3i3i3100−i3i3−ii3−300-11−ii−ii3−33−3-220000−2i2i000000ii−i−i−3−33300001-10i3−i300000000
χ512-22-22-1002-211-2-12-2−i3−i3i3i30-1−2i2i−i3i3-111−2i2i−2i2i-12-200−i3−i3i3i3100−i3i3i−i−3300-11i−ii−i−33−332-20000−2i2i000000ii−i−i−3−3330000-110−i3i300000000
χ522-22-22-1002-211-2-12-2−i3−i3i3i30-1−2i2i−i3i3-111−2i2i−2i2i-12-200−i3−i3i3i3100−i3i3i−i−3300-11i−ii−i−33−33-2200002i−2i000000−i−iii33−3−300001-10i3−i300000000
χ532-22-22-1002-211-2-12-2i3i3−i3−i30-12i−2ii3−i3-1112i−2i2i−2i-12-200i3i3−i3−i3100i3−i3−ii−3300-11−ii−ii−33−332-200002i−2i000000−i−iii−3−3330000-110i3−i300000000
χ542-22-22-1002-211-2-12-2i3i3−i3−i30-12i−2ii3−i3-1112i−2i2i−2i-12-200i3i3−i3−i3100i3−i3−ii−3300-11−ii−ii−33−33-220000−2i2i000000ii−i−i33−3−300001-10−i3i300000000
χ552-22-22-1002-211-2-12-2i3i3−i3−i30-1−2i2ii3−i3-111−2i2i−2i2i-12-200i3i3−i3−i3100i3−i3i−i3−300-11i−ii−i3−33−32-20000−2i2i000000ii−i−i33−3−30000-110i3−i300000000
χ562-22-22-1002-211-2-12-2i3i3−i3−i30-1−2i2ii3−i3-111−2i2i−2i2i-12-200i3i3−i3−i3100i3−i3i−i3−300-11i−ii−i3−33−3-2200002i−2i000000−i−iii−3−33300001-10−i3i300000000
χ5744444-244-4-4-2-24-244-2-2-2-2-4-20022-2-2-200002-4-444-2-2-2-220-4220000002200000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-24-24422224-200-2-2-2-2-200002-4-4-4-42222204-2-20000002200000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-24144-2-2111-2-2-2-2-2-2-2-2-21111-24-211-2-2-2-2-2-21111111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-241-4-4-2-21112222-2-2-2-2-21111-2-4-21122222211-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-410022111−2i3−2i32i32i3222-2-21111202-1-10000−2i32i3-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4100221112i32i3−2i3−2i3222-2-21111202-1-100002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222-414422111-2-2-2-2-2-2-222-1-1-1-1-2-42-1-1-2-22222111111-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-41-4-4221112222-2-2-222-1-1-1-1-242-1-122-2-2-2-211-1-1-1-11111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-2111−2i3−2i32i32i322222-1-1-1-120-21100002i3−2i3-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-21112i32i3−2i3−2i322222-1-1-1-120-2110000−2i32i3-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-4444i−4i004-4-4-4-444i−4i4i−4i040000-44-400000004i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ6844-4-444−4i4i004-4-4-4-44−4i4i−4i4i040000-44-40000000−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ6944-4-44-24i−4i00-22-42-44−2i2i−2i2i0-200002-2200000004i−4i−2i2i−2i2i000000000000000000000000000000000006−66−6i6−i6i6−i600000000000000000
χ7044-4-44-24i−4i00-22-42-44−2i2i−2i2i0-200002-2200000004i−4i−2i2i−2i2i00000000000000000000000000000000000−66−66−i6i6−i6i600000000000000000
χ7144-4-44-2−4i4i00-22-42-442i−2i2i−2i0-200002-220000000−4i4i2i−2i2i−2i000000000000000000000000000000000006−66−6−i6i6−i6i600000000000000000
χ7244-4-44-2−4i4i00-22-42-442i−2i2i−2i0-200002-220000000−4i4i2i−2i2i−2i00000000000000000000000000000000000−66−66i6−i6i6−i600000000000000000
χ7344-4-4-244i−4i004-42-42-24i−4i4i−4i0-200002-220000000−2i2i−2i2i−2i2i000000000000000000000000000000023−23−2i32i30000000000000000000000000
χ7444-4-4-244i−4i004-42-42-24i−4i4i−4i0-200002-220000000−2i2i−2i2i−2i2i0000000000000000000000000000000−23232i3−2i30000000000000000000000000
χ7544-4-4-24−4i4i004-42-42-2−4i4i−4i4i0-200002-2200000002i−2i2i−2i2i−2i000000000000000000000000000000023−232i3−2i30000000000000000000000000
χ7644-4-4-24−4i4i004-42-42-2−4i4i−4i4i0-200002-2200000002i−2i2i−2i2i−2i0000000000000000000000000000000−2323−2i32i30000000000000000000000000
χ774-44-44400-44-4-4-444-400000400004-4-40000-4-4400000040000000000-4400000000000000000000000000000000000000000000000
χ784-44-44-200-4422-4-24-4−2i3−2i32i32i30-2002i3−2i3-22200002-4400−2i3−2i32i32i3-2002i3−2i30000002-200000000000000000000000000000000000000000000000
χ794-44-44-200-4422-4-24-42i32i3−2i3−2i30-200−2i32i3-22200002-44002i32i3−2i3−2i3-200−2i32i30000002-200000000000000000000000000000000000000000000000
χ804-44-4-24004-4-4-424-2200000-24i−4i00-222−2i2i−2i2i4-22000000-400004i−4i0000-22−2i2i−2i2i0000000000000000000000000000000000000000000
χ814-44-4-24004-4-4-424-2200000-2−4i4i00-2222i−2i2i−2i4-22000000-40000−4i4i0000-222i−2i2i−2i0000000000000000000000000000000000000000000
χ824-44-4-2400-44-4-424-2200000-20000-22223−23−2323-42-2000000400000000002-223−23−23230000000000000000000000000000000000000000000
χ834-44-4-2400-44-4-424-2200000-20000-222−232323−23-42-2000000400000000002-2−232323−230000000000000000000000000000000000000000000
χ844-44-4-2-2004-4222-2-22−2i3−2i32i32i3014i−4i−2i32i31-1-1−2i2i−2i2i-2-2200i3i3−i3−i3200i3−i3−2i2i23−23001-1i−ii−i−33−33000000000000000000000000000000000000000
χ854-44-4-2-2004-4222-2-22−2i3−2i32i32i301−4i4i−2i32i31-1-12i−2i2i−2i-2-2200i3i3−i3−i3200i3−i32i−2i−2323001-1−ii−ii3−33−3000000000000000000000000000000000000000
χ864-44-4-2-2004-4222-2-222i32i3−2i3−2i3014i−4i2i3−2i31-1-1−2i2i−2i2i-2-2200−i3−i3i3i3200−i3i3−2i2i−2323001-1i−ii−i3−33−3000000000000000000000000000000000000000
χ874-44-4-2-2004-4222-2-222i32i3−2i3−2i301−4i4i2i3−2i31-1-12i−2i2i−2i-2-2200−i3−i3i3i3200−i3i32i−2i23−23001-1−ii−ii−33−33000000000000000000000000000000000000000
χ884-44-4-2-200-44222-2-22−2i3−2i32i32i301002i3−2i31-1-123−23−232322-200i3i3−i3−i3-200−i3i3000000-11−333−3−3i3i3i−3i000000000000000000000000000000000000000
χ894-44-4-2-200-44222-2-22−2i3−2i32i32i301002i3−2i31-1-1−232323−2322-200i3i3−i3−i3-200−i3i3000000-113−3−333i−3i−3i3i000000000000000000000000000000000000000
χ904-44-4-2-200-44222-2-222i32i3−2i3−2i30100−2i32i31-1-123−23−232322-200−i3−i3i3i3-200i3−i3000000-11−333−33i−3i−3i3i000000000000000000000000000000000000000
χ914-44-4-2-200-44222-2-222i32i3−2i3−2i30100−2i32i31-1-1−232323−2322-200−i3−i3i3i3-200i3−i3000000-113−3−33−3i3i3i−3i000000000000000000000000000000000000000
χ924-4-44440000-444-4-4-40000040000-4-44000000000000000000000000000000000000000000−2i22i200000000−2i22i22i2−2i200000000000000000
χ934-4-44440000-444-4-4-40000040000-4-440000000000000000000000000000000000000000002i2−2i2000000002i2−2i2−2i22i200000000000000000
χ944-4-444-200002-242-4-423−23−23230-2000022-200000000023−23−232300000000000000000000000000000−2i22i20000i6−i6−i6i6i2−i2−i2i200000000000000000
χ954-4-444-200002-242-4-423−23−23230-2000022-200000000023−23−2323000000000000000000000000000002i2−2i20000−i6i6i6−i6−i2i2i2−i200000000000000000
χ964-4-444-200002-242-4-4−232323−230-2000022-2000000000−232323−2300000000000000000000000000000−2i22i20000−i6i6i6−i6i2−i2−i2i200000000000000000
χ974-4-444-200002-242-4-4−232323−230-2000022-2000000000−232323−23000000000000000000000000000002i2−2i20000i6−i6−i6i6−i2i2i2−i200000000000000000
χ9888-8-8-4-48i−8i00-44444-4−4i4i−4i4i020000-22-20000000−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i00-44444-44i−4i4i−4i020000-22-200000004i−4i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-480000-88-4-84400000-4000044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004-4-444443−43−4343020000-2-22000000000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004-4-4444−434343−43020000-2-2200000000023−23−2323000000000000000000000000000000000000000000000000000000000000

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