Finite Group Databasebeta

← Group #11887249

Character table — Group #11887249

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666223666881212121224242424444488881212121246666121212122424242424242444668812122424242466121212224441212121212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-11111-1-1-1-111111-1-111-1-1-11-1-11111-1-1-11-1-1
χ3111111111111111111111111111111-1-111111111111111111111111111-11111-1-1-1-1111111111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1111-11-1-111111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-11-1-1111-1-111-1-1-111-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-111-11-111-1-1-1-1-1111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1111111111111111-1-111111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-11-1111-1-1-1-1-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1111-1-1-111-1-1111-1-1-1-1-11111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-11111-111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-11-1-1-11111111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-2000000-2-200-2-200220000000002200000-2000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-20000-2-2-2-20000000-2-20000002-200220022000000000-2-200000-2000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222000022220000000-2-2000000-2200-2-200-2-2000000000-2-2000002000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000022002200-2-200000000022000002000000-200000
χ2122222-1222-1-12-1222-1-1-1-1222-12-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-122-1-1-1-12022-1-10000-1-1-1-1-1-12-1-100002-1-10-1-10000000000
χ2222222-1222-1-12-1222-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-20-2-21100001111-1-12-1-10000-2110110000000000
χ2322222-1222-1-12-1222-1-1-1-1-2-22-12-111110022-2-2-2-2-1-1-1-1-222-1-111-1-1-2-2111120-2-2-1-100001111-1-1-21100002110-1-10000000000
χ2422222-1222-1-12-1222-1-1-1-1-2-22-12-1111100-2-222221111-222-1-111-1-1-2-21111-2022110000-1-1-1-1-1-1-2110000-2-1-10110000000000
χ2522222-1222-1-12-12-2-2-1-1-1-1222-12-1-1-1-1-100222222-1-1-1-1-2-2-21111-1-122-1-1-1-120-2-2-1-10000-1-1-1-111-2110000-2110110000000000
χ2622222-1222-1-12-12-2-2-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-21111-2-2-21111-1-122-1-1-1-1-2022110000111111-21100002-1-10-1-10000000000
χ2722222-1222-1-12-12-2-2-1-1-1-1-2-22-12-111110022-2-2-2-2-1-1-1-12-2-211-1-1-1-1-2-211112022-1-100001111112-1-10000-2-1-10110000000000
χ2822222-1222-1-12-12-2-2-1-1-1-1-2-22-12-1111100-2-2222211112-2-211-1-1-1-1-2-21111-20-2-2110000-1-1-1-1112-1-100002110-1-10000000000
χ292222-1222-122-12-122-1-1-1-122-12-1222222200000000002-1-12222-1-1-1-1-1-1-1-102000022-1-10000-1-1-1-1-10022000-100-1-1-1-1000-100
χ302222-1222-122-12-122-1-1-1-122-12-122222-2-200000000002-1-12222-1-1-1-1-1-1-1-10-20000-2-2110000-1-1-1-1-100-2-20001001111000100
χ312222-1222-122-12-122-1-1-1-1-2-2-12-12-2-2-2-2220000000000-2-1-122-2-2-1-1111111020000-2-2-1-10000-1-1111002-2000-100-1-111000100
χ322222-1222-122-12-122-1-1-1-1-2-2-12-12-2-2-2-2-2-20000000000-2-1-122-2-2-1-11111110-2000022110000-1-111100-2200010011-1-1000-100
χ332222-1222-122-12-1-2-2-1-1-1-122-12-122222220000000000-211-2-2-2-2-1-1-1-1-1-1-1-102000022-1-100001111100-2-2000-10011-1-1000100
χ342222-1222-122-12-1-2-2-1-1-1-122-12-122222-2-20000000000-211-2-2-2-2-1-1-1-1-1-1-1-10-20000-2-2110000111110022000100-1-111000-100
χ352222-1222-122-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2220000000000211-2-222-1-1111111020000-2-2-1-1000011-1-1-100-22000-1001111000-100
χ362222-1222-122-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2-2-20000000000211-2-222-1-11111110-200002211000011-1-1-1002-2000100-1-1-1-1000100
χ372-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i22i−2i2i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i20000002−22i−2i22−2−2000002-200000000002−20−i2i2000
χ382-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i22i−2i−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i20000002−22i−2i−2−22200000-2200000000002−20i2−i2000
χ392-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i2−2i2i2i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i2000000−22−2i2i22−2−200000-220000000000−220i2−i2000
χ402-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i2−2i2i−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i2000000−22−2i2i−2−222000002-20000000000−220−i2i2000
χ412-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i22i−2i2i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i2000000−222i−2i−2−222000002-20000000000−220i2−i2000
χ422-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i22i−2i−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i2000000−222i−2i22−2−200000-220000000000−220−i2i2000
χ432-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i2−2i2i2i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i20000002−2−2i2i−2−22200000-2200000000002−20−i2i2000
χ442-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i2−2i2i−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i20000002−2−2i2i22−2−2000002-200000000002−20i2−i2000
χ452-2-2222-222-2-2-22-22-22-22-20022-2-2000000002i−2i2i−2i000002-22-2002-2000000002i−2i0000002i−2i2i−2i2-2000000002i−2i0000000000000
χ462-2-2222-222-2-2-22-22-22-22-20022-2-200000000−2i2i−2i2i000002-22-2002-200000000−2i2i000000−2i2i−2i2i2-200000000−2i2i0000000000000
χ472-2-2222-222-2-2-22-2-222-22-20022-2-2000000002i−2i2i−2i00000-22-22002-200000000−2i2i0000002i−2i2i−2i-2200000000−2i2i0000000000000
χ482-2-2222-222-2-2-22-2-222-22-20022-2-200000000−2i2i−2i2i00000-22-22002-2000000002i−2i000000−2i2i−2i2i-22000000002i−2i0000000000000
χ492-2-222-1-22211-2-1-22-2-11-11002-1-213−33−300002i−2i2i−2i−i3i3−i3i302-2-113−3-11003−33−3002i−2i−i3i30000−ii−ii-1103−300000−ii0−i3i30000000000
χ502-2-222-1-22211-2-1-22-2-11-11002-1-213−33−30000−2i2i−2i2ii3−i3i3−i302-2-113−3-11003−33−300−2i2ii3−i30000i−ii−i-1103−300000i−i0i3−i30000000000
χ512-2-222-1-22211-2-1-22-2-11-11002-1-21−33−3300002i−2i2i−2ii3−i3i3−i302-2-11−33-1100−33−33002i−2ii3−i30000−ii−ii-110−3300000−ii0i3−i30000000000
χ522-2-222-1-22211-2-1-22-2-11-11002-1-21−33−330000−2i2i−2i2i−i3i3−i3i302-2-11−33-1100−33−3300−2i2i−i3i30000i−ii−i-110−3300000i−i0−i3i30000000000
χ532-2-222-1-22211-2-1-2-22-11-11002-1-213−33−300002i−2i2i−2i−i3i3−i3i30-221-1−33-11003−33−300−2i2i−i3i30000−ii−ii1-10−3300000i−i0i3−i30000000000
χ542-2-222-1-22211-2-1-2-22-11-11002-1-213−33−30000−2i2i−2i2ii3−i3i3−i30-221-1−33-11003−33−3002i−2ii3−i30000i−ii−i1-10−3300000−ii0−i3i30000000000
χ552-2-222-1-22211-2-1-2-22-11-11002-1-21−33−3300002i−2i2i−2ii3−i3i3−i30-221-13−3-1100−33−3300−2i2ii3−i30000−ii−ii1-103−300000i−i0−i3i30000000000
χ562-2-222-1-22211-2-1-2-22-11-11002-1-21−33−330000−2i2i−2i2i−i3i3−i3i30-221-13−3-1100−33−33002i−2i−i3i30000i−ii−i1-103−300000−ii0i3−i30000000000
χ5744444-2-4-44-2-24-2400-2-2-2-200-42-42000000440000-2-2-2-2000000022000000-400022000000000000000000000000000000000
χ5844444-2-4-44-2-24-2400-2-2-2-200-42-42000000-4-4000022220000000220000004000-2-2000000000000000000000000000000000
χ594444-24-4-4-244-24-200-2-2-2-2002-42-400004400000000000000000220000000-4000000-2-200000000000000002000000000000
χ604444-24-4-4-244-24-200-2-2-2-2002-42-40000-4-4000000000000000002200000004000000220000000000000000-2000000000000
χ614444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-211110000000000000011-21100000000000000000000
χ624444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000000000-4-2-2-2-2221122-1-1-1-100000000000000112-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000000000-422222211-2-2111100000000000000-1-12-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000000000042222-2-21122-1-1-1-100000000000000-1-1-21100000000000000000000
χ6544-4-44400-44-4-4-44004-4-4400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ6644-4-44400-44-4-4-44004-4-44000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ6744-4-44-200-4-22-42400-222-2000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ6844-4-44-200-4-22-42400-222-2000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ6944-4-44-200-4-22-42400-222-2000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ7044-4-44-200-4-22-42400-222-2000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ714-44-44-200-42-242-400-2-222−2i22i20000i2i2−i2−i2004i−4i2222−22−22−2i−2i2i2i000000000−2i22i2i2i2−i2−i20000000000−2−2220000000000000000000000000
χ724-44-44-200-42-242-400-2-222−2i22i20000i2i2−i2−i200−4i4i−22−2222222i2i−2i−2i000000000−2i22i2i2i2−i2−i2000000000022−2−20000000000000000000000000
χ734-44-44-200-42-242-400-2-2222i2−2i20000−i2−i2i2i2004i−4i−22−222222−2i−2i2i2i0000000002i2−2i2−i2−i2i2i2000000000022−2−20000000000000000000000000
χ744-44-44-200-42-242-400-2-2222i2−2i20000−i2−i2i2i200−4i4i2222−22−222i2i−2i−2i0000000002i2−2i2−i2−i2i2i20000000000−2−2220000000000000000000000000
χ754-44-4-24002-44-2-4200-2-222−2i22i20000−2i2−2i22i22i24i−4i0000000000000000000i2−i2i2i2−i2−i200000022−22−2i2i000000000000000000000−22000000
χ764-44-4-24002-44-2-4200-2-222−2i22i20000−2i2−2i22i22i2−4i4i0000000000000000000i2−i2i2i2−i2−i2000000−22222i−2i0000000000000000000002−2000000
χ774-44-4-24002-44-2-4200-2-2222i2−2i200002i22i2−2i2−2i24i−4i0000000000000000000−i2i2−i2−i2i2i2000000−2222−2i2i0000000000000000000002−2000000
χ784-44-4-24002-44-2-4200-2-2222i2−2i200002i22i2−2i2−2i2−4i4i0000000000000000000−i2i2−i2−i2i2i200000022−222i−2i000000000000000000000−22000000
χ794-4-44444-44-4-4-44-4004-44-400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-24-4422-4-2-400-22-2200-424-2000000000000−2i32i3−2i32i300000002-200000000002i3−2i3000000000000000000000000000000000
χ814-4-444-24-4422-4-2-400-22-2200-424-20000000000002i3−2i32i3−2i300000002-20000000000−2i32i3000000000000000000000000000000000
χ824-4-44-244-4-2-4-424200-22-22002-4-24000000000000000000000002-20000000000000000000000000000000000023−2300000000
χ834-4-44-244-4-2-4-424200-22-22002-4-24000000000000000000000002-200000000000000000000000000000000000−232300000000
χ844-4-44-24-44-2-4-42424-4-22-2200-242-400000000000000000-224-400-2200000000000000000000-2200000000000000000000000
χ854-4-44-24-44-2-4-4242-44-22-2200-242-4000000000000000002-2-4400-22000000000000000000002-200000000000000000000000
χ864-4-44-2-2-44-2222-224-41-11-100-2-22223−2323−230000000000000-22-2223−231-100−33−33000000000000001-10−3300000000000000000000
χ874-4-44-2-2-44-2222-224-41-11-100-2-222−2323−23230000000000000-22-22−23231-1003−33−3000000000000001-103−300000000000000000000
χ884-4-44-2-2-44-2222-22-441-11-100-2-22223−2323−2300000000000002-22-2−23231-100−33−3300000000000000-1103−300000000000000000000
χ894-4-44-2-2-44-2222-22-441-11-100-2-222−2323−232300000000000002-22-223−231-1003−33−300000000000000-110−3300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-480048-84-8-400-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4004-4444-4002-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ9388-8-8-4-4004-4444-4002-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ948-88-8-4-40044-4-4440022-2-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ958-88-8-4-40044-4-4440022-2-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ968-8-88-4-48-8-4444-44002-22-20044-4-400000000000000000000000-22000000000000000000000000000000000000000000000

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