Finite Group Databasebeta

← Group #11897541

Character table — Group #11897541

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666662234466666661212121212121212121212124446666661212121212121212121212121212444881212121244448121212121212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-11111111111-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-11111-1-11-11-1-11-111-1-111-1-11111-11-1-1
χ611111111111111111-1-11111111111-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-11-1-1111-111-1-1-1-111-1-1-1-11-111
χ711111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-111-111-1-1-11-1-11111-1-1-1-1-1-1-1111
χ811111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-111-11-111-11-1-111-1-11111111-1-1-1
χ911111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ1011111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-111-111-1-1-1-1-1-1-1-111-1-1111-1
χ1111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-11-1-11111111111-1-1-1-11-1
χ1211111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ1311111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-11-11111-1-1-11-11-11-1-1-11111-1-1-1-1111-11-1
χ1411111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-11-1-1-111-1-1-111-111-1-1-111-1-11111-1-1-11-11
χ1511111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111-1-111111-1111-1-1111-1-11-1-1111-1-111-1-111-1-11-1-11
χ1611111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111-1-111111-11-1-1-1-1111-11-11-1111-1-1-1-111-1-111-111-1
χ17222222-2-22222220022-20000222-2-2-222222222-2220000000-2-20000-2-2-2-200002-2-200222200000-2-20000000000000000
χ18222222-2-22222220022-20000222-2-2-222222222-2-2-20000000-2-20000-2-2-2-20000-22200-2-2-2-200000220000000000000000
χ19222222-2-2222222002-220000222-2-2-2-2-2-2-2-2-2-2-2-2220000000220000-2-2220000-2-220022-2-200000-220000000000000000
χ20222222-2-2222222002-220000222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-222000022-200-2-222000002-20000000000000000
χ2122222-1222-12-12-122-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1222222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-122200-1-1-1-122000-1-1-1-1-1-1000000000000
χ2222222-1222-12-12-122-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-12-2-2222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2001111-2-2000111111000000000000
χ2322222-1222-12-12-122-1-2-2-1-1-1-1-1-1-12-1-1-2-2111111222-222-1-1-1-1-21-2-211-1-1111111-22-200-1-1112-2000-11-1-111000000000000
χ2422222-1222-12-12-122-1-2-2-1-1-1-1-1-1-12-1-1-2-21111112-2-2-222-1-1-1-1-21-2-211-1-11111112-220011-1-1-220001-111-1-1000000000000
χ2522222-1222-12-12-1-2-2-1221111-1-1-12-1-122-1-1-1-1-1-1222-2-2-211112-1-2-211-1-1-1-1111122200-1-1-1-1-2-2000-1-11111000000000000
χ2622222-1222-12-12-1-2-2-1221111-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2-211112-1-2-211-1-1-1-11111-2-2-20011112200011-1-1-1-1000000000000
χ2722222-1222-12-12-1-2-2-1-2-21111-1-1-12-1-1-2-21111112222-2-21111-2122-1-1-1-111-1-1-1-1-22-200-1-111-22000-1111-1-1000000000000
χ2822222-1222-12-12-1-2-2-1-2-21111-1-1-12-1-1-2-21111112-2-22-2-21111-2122-1-1-1-111-1-1-1-12-220011-1-12-20001-1-1-111000000000000
χ2922222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-1-21122-1-1-1-1-1-1-222000−i3−i3i3i3-2100−i3i31111−i3−i3i3i32-2-200-1-1-1-10000011−i3i3−i3i3000000000000
χ3022222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-1-21122-1-1-1-1-1-1-2-2-2000−i3−i3i3i3-2100−i3i31111−i3−i3i3i3-22200111100000-1-1i3−i3i3−i3000000000000
χ3122222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-1-21122-1-1-1-1-1-1-222000i3i3−i3−i3-2100i3−i31111i3i3−i3−i32-2-200-1-1-1-10000011i3−i3i3−i3000000000000
χ3222222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-1-21122-1-1-1-1-1-1-2-2-2000i3i3−i3−i3-2100i3−i31111i3i3−i3−i3-22200111100000-1-1−i3i3−i3i3000000000000
χ3322222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-1-211-2-2111111-222000−i3−i3i3i32-100i3−i311-1-1i3i3−i3−i3-2-2200-1-111000001-1−i3i3i3−i3000000000000
χ3422222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-1-211-2-2111111-2-2-2000−i3−i3i3i32-100i3−i311-1-1i3i3−i3−i322-20011-1-100000-11i3−i3−i3i3000000000000
χ3522222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-1-211-2-2111111-222000i3i3−i3−i32-100−i3i311-1-1−i3−i3i3i3-2-2200-1-111000001-1i3−i3−i3i3000000000000
χ3622222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-1-211-2-2111111-2-2-2000i3i3−i3−i32-100−i3i311-1-1−i3−i3i3i322-20011-1-100000-11−i3i3i3−i3000000000000
χ372222-1222-12-12-1222-1222222-1-1-1-122-1-122-1-1-1-1-1002-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100022000000222000000-1-1-1-10000-1-100
χ382222-1222-12-12-1222-1222222-1-1-1-122-1-122-1-1-1-1-1002-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000-2-2000000-2-2-2000000111100001100
χ392222-1222-12-12-1222-1-2-22222-1-1-1-12211-2-21111-100-2-1-1-1-1-1-11-211-2-2-1-1111111000220000002-2-2000000-1-11100001-100
χ402222-1222-12-12-1222-1-2-22222-1-1-1-12211-2-21111-100-2-1-1-1-1-1-11-211-2-2-1-1111111000-2-2000000-22200000011-1-10000-1100
χ412222-1222-12-12-12-2-2-122-2-2-2-2-1-1-1-122-1-122-1-1-1-1-100-2111111-1211-2-2-1-1-1-1111100022000000-2-22000000-1-1-1-100001100
χ422222-1222-12-12-12-2-2-122-2-2-2-2-1-1-1-122-1-122-1-1-1-1-100-2111111-1211-2-2-1-1-1-11111000-2-200000022-200000011110000-1-100
χ432222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-1-12211-2-21111-10021111111-2-1-122-1-111-1-1-1-100022000000-22-2000000-1-1110000-1100
χ442222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-1-12211-2-21111-10021111111-2-1-122-1-111-1-1-1-1000-2-20000002-2200000011-1-100001-100
χ4522-2-2222-222-2-2-2-22-22002-22-22-2-222-200000000-20002-22-22-20000002-20000000000000000000000000000002-22-20000
χ4622-2-2222-222-2-2-2-22-22002-22-22-2-222-200000000-20002-22-22-20000002-2000000000000000000000000000000-22-220000
χ4722-2-2222-222-2-2-2-2-22200-22-222-2-222-200000000-2000-22-22-220000002-20000000000000000000000000000002-2-220000
χ4822-2-2222-222-2-2-2-2-22200-22-222-2-222-200000000-2000-22-22-220000002-2000000000000000000000000000000-222-20000
χ494444-24-4-4-24-24-2400-24-40000-2-2-22-4-4-2-244-2-2-2-220000000002-400002222000000000000000000000000000000000000
χ504444-24-4-4-24-24-2400-2-440000-2-2-22-4-422-4-422222000000000-24000022-2-2000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-21111-2004-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111-2-2-22222-1-1-1-1-200-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-21111-200-422-1-1-1-1-2-222221111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-41-4-42222111-2-2-22222-1-1-1-1-200422-1-1-1-122-2-2-2-211-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i3111222-2-2-2-21111200000i3i3−i3−i32200−2i32i3-1-1-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i3111222-2-2-2-21111200000−i3−i3i3i322002i3−2i3-1-1-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i31112222222-1-1-1-1200000i3i3−i3−i3-2-2002i3−2i3-1-111−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i31112222222-1-1-1-1200000−i3−i3i3i3-2-200−2i32i3-1-111i3i3−i3−i300000000000000000000000000000000
χ5944-4-444-4444-4-4-4-40040000004-4-4-4-44000000004000000000000000-4400000000000000000000000000000000000000
χ6044-4-44-24-44-2-42-424-4-200-22-22-2224-2200000000-40004-4-22-22000000-2200000000000000000000000000000000000000
χ6144-4-44-24-44-2-42-42-44-2002-22-2-2224-2200000000-4000-442-22-2000000-2200000000000000000000000000000000000000
χ6244-4-44-2-444-2-42-4200-200−2i32i32i3−2i3-222-42-200000000400000−2i32i32i3−2i30000002-200000000000000000000000000000000000000
χ6344-4-44-2-444-2-42-4200-2002i3−2i3−2i32i3-222-42-2000000004000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000
χ6444-4-4-244-4-242-42-44-4-2004-44-4-222-24-4000000002000-22-22-22000000-2200000000000000000000000000000000000000
χ6544-4-4-244-4-242-42-4-44-200-44-44-222-24-40000000020002-22-22-2000000-2200000000000000000000000000000000000000
χ6644-4-4-24-44-242-42-400-2000000-2222-4400000000-20000000000023−23002-20023−2323−2300000000000000000000000000000000
χ6744-4-4-24-44-242-42-400-2000000-2222-4400000000-200000000000−2323002-200−2323−232300000000000000000000000000000000
χ6844-4-4-2-24-4-2-222224-4100-22-221-1-1-2-2200003i3i−3i−3i2000-221-11-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000
χ6944-4-4-2-24-4-2-222224-4100-22-221-1-1-2-220000−3i−3i3i3i2000-221-11-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000
χ7044-4-4-2-24-4-2-22222-441002-22-21-1-1-2-2200003i3i−3i−3i20002-2-11-110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000
χ7144-4-4-2-24-4-2-22222-441002-22-21-1-1-2-220000−3i−3i3i3i20002-2-11-110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000
χ7244-4-4-2-2-44-2-2222200100−2i32i32i3−2i31-1-122-200003i3i−3i−3i-200000i3−i3−i3i300−232300-11−3i3i3−33−300000000000000000000000000000000
χ7344-4-4-2-2-44-2-2222200100−2i32i32i3−2i31-1-122-20000−3i−3i3i3i-200000i3−i3−i3i30023−2300-113i−3i−33−3300000000000000000000000000000000
χ7444-4-4-2-2-44-2-22222001002i3−2i3−2i32i31-1-122-200003i3i−3i−3i-200000−i3i3i3−i30023−2300-11−3i3i−33−3300000000000000000000000000000000
χ7544-4-4-2-2-44-2-22222001002i3−2i3−2i32i31-1-122-20000−3i−3i3i3i-200000−i3i3i3−i300−232300-113i−3i3−33−300000000000000000000000000000000
χ764-44-44400-4-4-4-444004000000-4-440000000000004-4000000000000000000000000004-40000000000000000000000000
χ774-44-44400-4-4-4-444004000000-4-44000000000000-4400000000000000000000000000-440000000000000000000000000
χ784-44-44-200-42-424-200-200000022-200000−2i32i3−2i32i3−2i32i304-400000000000000000000000000-22−2i32i300000000000000000000000
χ794-44-44-200-42-424-200-200000022-200000−2i32i3−2i32i3−2i32i30-44000000000000000000000000002-22i3−2i300000000000000000000000
χ804-44-44-200-42-424-200-200000022-2000002i3−2i32i3−2i32i3−2i304-400000000000000000000000000-222i3−2i300000000000000000000000
χ814-44-44-200-42-424-200-200000022-2000002i3−2i32i3−2i32i3−2i30-44000000000000000000000000002-2−2i32i300000000000000000000000
χ824-4-444400-4-444-4-4004000000-44-400000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ834-4-444400-4-444-4-4004000000-44-4000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ844-4-44-24002-4-242-400-20000002-2200023−230023−23−2323000000000000000000000000000−2i22i2000000000000000i2−i2i6−i600000000
χ854-4-44-24002-4-242-400-20000002-2200023−230023−23−23230000000000000000000000000002i2−2i2000000000000000−i2i2−i6i600000000
χ864-4-44-24002-4-242-400-20000002-22000−232300−232323−23000000000000000000000000000−2i22i2000000000000000i2−i2−i6i600000000
χ874-4-44-24002-4-242-400-20000002-22000−232300−232323−230000000000000000000000000002i2−2i2000000000000000−i2i2i6−i600000000
χ888-88-8-48004-84-8-4800-400000044-40000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4004444-4-4002000000-2-2200000−4i34i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4004444-4-4002000000-2-22000004i3−4i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-848-4-8400-40000004-440000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-4-444002000000-22-200043−4300−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-4-444002000000-22-2000−43430023−23−232300000000000000000000000000000000000000000000000000000000

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