Finite Group Databasebeta

← Group #11889146

Character table — Group #11889146

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666634466688121212122424242422666626612121212121224242424242422244881212121224242424666121244466681212121224244412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-11111-1-1111111111-11-1-111-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-11-11-1-1-1-111-1-1-1-1111111-111-1-1111-1-111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-11111-11-1-1-11111-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-11-1-11111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1111-1-1111111-1-1-1111-1-1111-111-1-1-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-111-1-11-1111-1-1-1-111111-11-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-1-11-11111-1-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-11111-1-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-1111-1-11-1-1-111111-1-111-1-1-1-111
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-1111111111-1-1-1111-1-1-1-1-111-1-1-1-11-111
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1111111111-11-1-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-2000000002-2-200-2-2-2-20000000000002000000000-220000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-200000000-2-2200-2-222000000000000-20000000002-20000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000000022-20022-2-200000000000020000000002-20000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-200000000-222002222000000000000-2000000000-220000
χ2122222-122-12-122-1-122-1-1-122-122-1-1-1-1-122-1-1-1-12-1-122-1-1-1-122-1-1-1-12202022-1-100-1-1-1-12-1-1-1-10200-1-1000-1-100000000
χ2222222-122-12-122-1-122-1-1-122-122-1-1-1-1-1-2-211112-1-122-1-1-1-122-1-1-1-1-2-20-20-2-2110011112-1-1-1-10-200110001100000000
χ2322222-122-12-122-1-122-1-1-1-2-2-122-1111122-1-1-1-1-21122-1-1-1-1-2-21111-2-2020-2-2-1-1001111-211-1-1020011000-1-100000000
χ2422222-122-12-122-1-122-1-1-1-2-2-122-11111-2-21111-21122-1-1-1-1-2-21111220-20221100-1-1-1-1-211-1-10-200-1-10001100000000
χ2522222-122-12-122-1-1-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-211-2-211-1-122-1-1-1-1-2-202022-1-100-1-1-1-1-211110-200110001100000000
χ2622222-122-12-122-1-1-2-2-1-1-122-122-1-1-1-1-1-2-21111-211-2-211-1-122-1-1-1-1220-20-2-211001111-211110200-1-1000-1-100000000
χ2722222-122-12-122-1-1-2-2-1-1-1-2-2-122-1111122-1-1-1-12-1-1-2-211-1-1-2-2111122020-2-2-1-10011112-1-1110-200-1-10001100000000
χ2822222-122-12-122-1-1-2-2-1-1-1-2-2-122-11111-2-211112-1-1-2-211-1-1-2-21111-2-20-20221100-1-1-1-12-1-111020011000-1-100000000
χ292222-12222-12-1-12-122-1-1-1222-1-122222000000222-1-122-1-1-1-1-1-1-1-1002020000-1-10000-1-1-1-1-1202-1002-1-100-1-100-1000
χ302222-12222-12-1-12-122-1-1-1222-1-122222000000222-1-122-1-1-1-1-1-1-1-100-20-20000110000-1-1-1-1-1-20-2100-2110011001000
χ312222-12222-12-1-12-122-1-1-1-2-22-1-12-2-2-2-2000000-2-2-2-1-122-1-1111111002020000-1-10000111-1-120-2-100-2-1-10011001000
χ322222-12222-12-1-12-122-1-1-1-2-22-1-12-2-2-2-2000000-2-2-2-1-122-1-111111100-20-20000110000111-1-1-20210021100-1-100-1000
χ332222-12222-12-1-12-1-2-2-1-1-1222-1-122222000000-2-2-211-2-2-1-1-1-1-1-1-1-1002020000-1-1000011111-20-2-10021100-1-1001000
χ342222-12222-12-1-12-1-2-2-1-1-1222-1-122222000000-2-2-211-2-2-1-1-1-1-1-1-1-100-20-2000011000011111202100-2-1-1001100-1000
χ352222-12222-12-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200000022211-2-2-1-1111111002020000-1-10000-1-1-111-202-100-211001100-1000
χ362222-12222-12-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200000022211-2-2-1-111111100-20-20000110000-1-1-11120-21002-1-100-1-1001000
χ372-2-22222-2-222-2-2-222i−2i-22-2002-22-200000000000002i−2i2i−2i2-20000002-20002i−2i00002i2i−2i−2i0002i−2i00002-20000000000000
χ382-2-22222-2-222-2-2-222i−2i-22-2002-22-200000000000002i−2i2i−2i2-2000000-22000−2i2i0000−2i−2i2i2i0002i−2i0000-220000000000000
χ392-2-22222-2-222-2-2-22−2i2i-22-2002-22-20000000000000−2i2i−2i2i2-20000002-2000−2i2i0000−2i−2i2i2i000−2i2i00002-20000000000000
χ402-2-22222-2-222-2-2-22−2i2i-22-2002-22-20000000000000−2i2i−2i2i2-2000000-220002i−2i00002i2i−2i−2i000−2i2i0000-220000000000000
χ412-2-222-12-212-1-2-21-12i−2i1-1100-1-22133−3−300−i3−i3i3i30−i3i32i−2i−ii-110033−3−32-20002i−2i−i3i300−i−iii0−i3i3−ii0000-110003−300000000
χ422-2-222-12-212-1-2-21-12i−2i1-1100-1-22133−3−300i3i3−i3−i30−i3i32i−2i−ii-110033−3−3-22000−2i2ii3−i300ii−i−i0−i3i3−ii00001-1000−3300000000
χ432-2-222-12-212-1-2-21-12i−2i1-1100-1-221−3−33300−i3−i3i3i30i3−i32i−2i−ii-1100−3−333-22000−2i2i−i3i300ii−i−i0i3−i3−ii00001-10003−300000000
χ442-2-222-12-212-1-2-21-12i−2i1-1100-1-221−3−33300i3i3−i3−i30i3−i32i−2i−ii-1100−3−3332-20002i−2ii3−i300−i−iii0i3−i3−ii0000-11000−3300000000
χ452-2-222-12-212-1-2-21-1−2i2i1-1100-1-22133−3−300−i3−i3i3i30i3−i3−2i2ii−i-110033−3−3-220002i−2i−i3i300−i−iii0i3−i3i−i00001-1000−3300000000
χ462-2-222-12-212-1-2-21-1−2i2i1-1100-1-22133−3−300i3i3−i3−i30i3−i3−2i2ii−i-110033−3−32-2000−2i2ii3−i300ii−i−i0i3−i3i−i0000-110003−300000000
χ472-2-222-12-212-1-2-21-1−2i2i1-1100-1-221−3−33300−i3−i3i3i30−i3i3−2i2ii−i-1100−3−3332-2000−2i2i−i3i300ii−i−i0−i3i3i−i0000-11000−3300000000
χ482-2-222-12-212-1-2-21-1−2i2i1-1100-1-221−3−33300i3i3−i3−i30−i3i3−2i2ii−i-1100−3−333-220002i−2ii3−i300−i−iii0−i3i3i−i00001-10003−300000000
χ4944444-2-4-4-24-244-2-200-2-2-2002-4-42000044-2-2-2-2000000022000000000-400022000000000000000000000000000000
χ5044444-2-4-4-24-244-2-200-2-2-2002-4-420000-4-422220000000220000000004000-2-2000000000000000000000000000000
χ514444-24-4-44-24-2-24-200-2-2-200-422-400000000000000000220000000040-4000022000000000000-2000000000000000
χ524444-24-4-44-24-2-24-200-2-2-200-422-4000000000000000002200000000-4040000-2-20000000000002000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-422-2-2-2-21122-1-1-1-10000000000000002-1-1110000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000004-2-222221122-1-1-1-1000000000000000-211-1-10000000000000000000
χ5744-4-444004-4-44-4-44004-4-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ5844-4-444004-4-44-4-44004-4-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ5944-4-44-200-2-424-42-200-222−2i22i20000i2−i2i2−i200−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i2000000000006−66−6000000000000000000000000
χ6044-4-44-200-2-424-42-200-222−2i22i20000i2−i2i2−i2002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i200000000000−66−66000000000000000000000000
χ6144-4-44-200-2-424-42-200-2222i2−2i20000−i2i2−i2i200−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i200000000000−66−66000000000000000000000000
χ6244-4-44-200-2-424-42-200-2222i2−2i20000−i2i2−i2i2002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i2000000000006−66−6000000000000000000000000
χ6344-4-4-240042-4-22-4-200-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i200000000023−2300000000000000000000i6−i6000000
χ6444-4-4-240042-4-22-4-200-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i2000000000−232300000000000000000000−i6i6000000
χ6544-4-4-240042-4-22-4-200-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i200000000023−2300000000000000000000−i6i6000000
χ6644-4-4-240042-4-22-4-200-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i2000000000−232300000000000000000000i6−i6000000
χ674-44-44400-4-4-4-444400-4-4400000000004-44-4-44000000000000000000000000000000000000000000000000000000
χ684-44-44400-4-4-4-444400-4-440000000000-44-444-4000000000000000000000000000000000000000000000000000000
χ694-44-44-2002-42-44-2-20022-2000000i6−i6−i6i64-4-222-200000000000i6−i6−i6i600000000000−i6i6i6−i6000000000000000000000000
χ704-44-44-2002-42-44-2-20022-2000000i6−i6−i6i6-442-2-2200000000000i6−i6−i6i600000000000i6−i6−i6i6000000000000000000000000
χ714-44-44-2002-42-44-2-20022-2000000−i6i6i6−i64-4-222-200000000000−i6i6i6−i600000000000i6−i6−i6i6000000000000000000000000
χ724-44-44-2002-42-44-2-20022-2000000−i6i6i6−i6-442-2-2200000000000−i6i6i6−i600000000000−i6i6i6−i6000000000000000000000000
χ734-4-4444-44-444-4-4-4400-44-400-44-4400000000000000000-44000000000000000000000000000000000000000000000
χ744-4-444-2-4424-2-4-42-2002-220024-4-2000000−2i3−2i32i32i300000002-200000000000002i3−2i3000000000000000000000000000000
χ754-4-444-2-4424-2-4-42-2002-220024-4-20000002i32i3−2i3−2i300000002-20000000000000−2i32i3000000000000000000000000000000
χ764-4-44-244-4-4-2422-4-24i−4i2-220042-2-40000000000000−2i2i4i−4i-22000000000000000000000000−2i2i0000000000000000000
χ774-4-44-244-4-4-2422-4-2−4i4i2-220042-2-400000000000002i−2i−4i4i-220000000000000000000000002i−2i0000000000000000000
χ784-4-44-24-44-4-2422-4-2002-2200-4-224000000000000000002-200000000000000000000000000000000023−230000000000
χ794-4-44-24-44-4-2422-4-2002-2200-4-224000000000000000002-2000000000000000000000000000000000−23230000000000
χ804-4-44-2-24-42-2-222214i−4i-11-100-22-222323−23−230000000−2i32i3−2i2i−2i2i1-100−3−3330000000000000000i3−i3i−i0000000000000000000
χ814-4-44-2-24-42-2-222214i−4i-11-100-22-22−23−23232300000002i3−2i3−2i2i−2i2i1-10033−3−30000000000000000−i3i3i−i0000000000000000000
χ824-4-44-2-24-42-2-22221−4i4i-11-100-22-222323−23−2300000002i3−2i32i−2i2i−2i1-100−3−3330000000000000000−i3i3−ii0000000000000000000
χ834-4-44-2-24-42-2-22221−4i4i-11-100-22-22−23−2323230000000−2i32i32i−2i2i−2i1-10033−3−30000000000000000i3−i3−ii0000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-444-4442002-2-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ8688-8-8-4-400-444-4442002-2-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ878-88-8-4800-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004444-4-4200-2-220000002i6−2i6−2i62i600000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ898-88-8-4-4004444-4-4200-2-22000000−2i62i62i6−2i600000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ908-8-88-4-4-884-4-4444200-22-2004-44-400000000000000000-22000000000000000000000000000000000000000000000

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