Finite Group Databasebeta

← Group #11878717

Character table — Group #11878717

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order1222334444446666663666121212121212121212121212224466664412121212121212121212448888121212121212242424242424242412121212121222441212121288886644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111111-111-1-1-1-1-1-111-1111-1-1-1-1-1-1111111-1-1-1-11-111-1-11-11-111-1-111-1-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111111-111-1-1-1-1-1-111-11-1-111-1-1-1-111-1-1-1-111111-111-1-1-111-111-1-1-1-111-11-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-11-1-111-1-1-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-11-1-11111-1-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-11-1-111-1-1-1-111-11-1-111-1-1-1-111-1-1-1-11111-11-1-1111-1-11-1-111-1-1111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-1-1-1-1111-111-1-11111-1-11111-1-1-1-11-111-1-11-1-11-1-111-1-1111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111111-111-1-1-11-11-1-11111-1-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1-1-1111-111-1-11111-1-11111-1-1-1-1-11-1-111-111-111-1-1-1-111-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-11111-11-1-1111-11-111-1-111-1-11-1-11
χ1722222222-2-2-2-2222222222222-2-222-2-2-2-2-2-222-2-2222200000022-2-2-2-22-2000022-2-2-2-2000000000000000000000000000000
χ1822222222-2-2-2-2222222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-200000022-2-2-2-2-220000-2-22222000000000000000000000000000000
χ19222222-2-222-2-22222222222-2-222-2-222-2-2-2-222222222000000-2-222-2-2-2-20000-2-222-2-2000000000000000000000000000000
χ20222222-2-222-2-22222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2000000-2-222-2-222000022-2-222000000000000000000000000000000
χ2122222-1222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000-1-100
χ2222222-1222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-100-2-2-2-200000011111111-1-1-1-1-1-1-2-200000000001100
χ2322222-1222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-1111111-2-200000000001100
χ2422222-1222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-100-2-2-2-200000011111111111111220000000000-1-100
χ2522222-1-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-1000000002-222-2-21111-1-10022-2-2000000-1-1-1-11111-11-1-1112-20000000000-1100
χ2622222-1-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-1000000002-222-2-21111-1-100-2-2220000001111-1-1-1-1-11-1-111-2200000000001-100
χ2722222-1-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-100000000-22-2-2221111-1-10022-2-2000000-1-1-1-111111-111-1-1-2200000000001-100
χ2822222-1-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-100000000-22-2-2221111-1-100-2-2220000001111-1-1-1-11-111-1-12-20000000000-1100
χ292222-1222222222-1-12-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-10000000022-1-1-1-10022-1-1-1-100000000
χ302222-1222222222-1-12-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-2-21111-1-1-1-1-1-1220000-1-1-1-1-1-100000000-2-2111100-2-2111100000000
χ312222-1222222222-1-12-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-200001111110000000022-1-1-1-100-2-2111100000000
χ322222-1222222222-1-12-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-21111-2-21111-1-1-1-1-1-1-2-2000011111100000000-2-211110022-1-1-1-100000000
χ332222-1222-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-222-2-2-1-1-1-100−i3i3−i3i3-1-111112-20000-1-111110000000000−i3i3−i3i30000−i3i3−i3i300000000
χ342222-1222-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-222-2-2-1-1-1-100i3−i3i3−i3-1-111112-20000-1-111110000000000i3−i3i3−i30000i3−i3i3−i300000000
χ352222-1222-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-2-2-222111100−i3i3−i3i3-1-11111-22000011-1-1-1-10000000000−i3i3−i3i30000i3−i3i3−i300000000
χ362222-1222-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-2-2-222111100i3−i3i3−i3-1-11111-22000011-1-1-1-10000000000i3−i3i3−i30000−i3i3−i3i300000000
χ372222-12-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-22222-1-1-1-100−i3i3i3−i311-1-111-2-2000011-1-1110000000000−i3i3i3−i30000−i3i3i3−i300000000
χ382222-12-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-22222-1-1-1-100i3−i3−i3i311-1-111-2-2000011-1-1110000000000i3−i3−i3i30000i3−i3−i3i300000000
χ392222-12-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-2-2-2-2-2111100−i3i3i3−i311-1-111220000-1-111-1-10000000000−i3i3i3−i30000i3−i3−i3i300000000
χ402222-12-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-2-2-2-2-2111100i3−i3−i3i311-1-111220000-1-111-1-10000000000i3−i3−i3i30000−i3i3i3−i300000000
χ412222-12-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-12222-2-2-1-1-1-12-2-1-1111111-1-1-2200001111-1-1000000002-2-1-111002-2-1-11100000000
χ422222-12-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-12222-2-2-1-1-1-1-2211-1-11111-1-1-2200001111-1-100000000-2211-1-100-2211-1-100000000
χ432222-12-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-122-2-22211112-2-1-1111111-1-12-20000-1-1-1-111000000002-2-1-11100-2211-1-100000000
χ442222-12-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-122-2-2221111-2211-1-11111-1-12-20000-1-1-1-11100000000-2211-1-1002-2-1-11100000000
χ452-2-2222002-2002-22-2-2-222-2-2002-2002-200002-22-222-2-2000000002-20000−i2i2−i2i2002-200−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i20000
χ462-2-2222002-2002-22-2-2-222-2-2002-2002-200002-22-222-2-2000000002-20000i2−i2i2−i2002-200i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i20000
χ472-2-2222002-2002-22-2-2-222-2-2002-2002-20000-22-22-2-222000000002-20000−i2i2−i2i200-2200−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i20000
χ482-2-2222002-2002-22-2-2-222-2-2002-2002-20000-22-22-2-222000000002-20000i2−i2i2−i200-2200i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i20000
χ492-2-222200-22002-22-2-2-222-2-200-2200-2200002-2-2222-2-200000000-220000−i2i2i2−i200-2200−i2−i2i2i2i2i2−i2−i200000000000000−i2i2i2−i20000
χ502-2-222200-22002-22-2-2-222-2-200-2200-2200002-2-2222-2-200000000-220000i2−i2−i2i200-2200i2i2−i2−i2−i2−i2i2i200000000000000i2−i2−i2i20000
χ512-2-222200-22002-22-2-2-222-2-200-2200-220000-222-2-2-22200000000-220000−i2i2i2−i2002-200−i2−i2i2i2i2i2−i2−i200000000000000i2−i2−i2i20000
χ522-2-222200-22002-22-2-2-222-2-200-2200-220000-222-2-2-22200000000-220000i2−i2−i2i2002-200i2i2−i2−i2−i2−i2i2i200000000000000−i2i2i2−i20000
χ5344444-244-4-4-4-4-2-244-24-2-2-2-2-2-22244-4-4-4-42200000000000000-2-22222000000000000000000000000000000000000000000
χ5444444-2-4-444-4-4-2-244-24-2-2-2-222-2-2-4-444-4-4220000000000000022-2-222000000000000000000000000000000000000000000
χ554444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-211111100000000000000000000-2-211110000000000000000
χ564444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000022-1-1-1-10000000000000000
χ574444-2-244-4-4-4-4-2-2-2-2-2-21111-2-222-2-22222220000000000−2i32i3−2i32i311-1-1-1-10000000000000000000000i3−i3i3−i30000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-21111-2-222-2-222222200000000002i3−2i32i3−2i311-1-1-1-10000000000000000000000−i3i3−i3i30000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-222-2-222220000000000−2i32i32i3−2i3-1-111-1-10000000000000000000000i3−i3−i3i30000000000000000
χ604444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-222-2-2222200000000002i3−2i3−2i32i3-1-111-1-10000000000000000000000−i3i3i3−i30000000000000000
χ614444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-2000000004-4-2-222-1-1-1-11100000000000000000000-2211-1-10000000000000000
χ624444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-200000000-4422-2-2-1-1-1-111000000000000000000002-2-1-1110000000000000000
χ6344-4-4444-40000-44-44-4-44-44-44-4004-4000000000000000000004-40000000000000000000000000000000000000000000000
χ6444-4-444-440000-44-44-4-44-44-4-4400-4400000000000000000000-440000000000000000000000000000000000000000000000
χ6544-4-44-24-400002-2-442-4-22-22-22004-400000000000000000000-2200000000000000006−66−66−66−60000000000000000000000
χ6644-4-44-24-400002-2-442-4-22-22-22004-400000000000000000000-220000000000000000−66−66−66−660000000000000000000000
χ6744-4-44-2-4400002-2-442-4-22-222-200-44000000000000000000002-200000000000000006−66−6−66−660000000000000000000000
χ6844-4-44-2-4400002-2-442-4-22-222-200-44000000000000000000002-20000000000000000−66−666−66−60000000000000000000000
χ6944-4-4-244-40000-442-2-42-22-224-400-220000000000−2i32i3−2i32i3000000-220000000000−2i32i30000000000000000000000000000000000
χ7044-4-4-244-40000-442-2-42-22-224-400-2200000000002i3−2i32i3−2i3000000-2200000000002i3−2i30000000000000000000000000000000000
χ7144-4-4-24-440000-442-2-42-22-22-44002-20000000000−2i32i3−2i32i30000002-200000000002i3−2i30000000000000000000000000000000000
χ7244-4-4-24-440000-442-2-42-22-22-44002-200000000002i3−2i32i3−2i30000002-20000000000−2i32i30000000000000000000000000000000000
χ734-44-44400004-4-4-4-4-4444-4-44000000004-44-40000000000000000004-4000000000000000000000000000000000000000000
χ744-44-4440000-44-4-4-4-4444-4-4400000000-44-44000000000000000000-44000000000000000000000000000000000000000000
χ754-44-44-200004-422-4-4-24-222-2000000004-4-22000000000000000000-22000000000000−2i32i32i3−2i300000000000000000000000000
χ764-44-44-200004-422-4-4-24-222-2000000004-4-22000000000000000000-220000000000002i3−2i3−2i32i300000000000000000000000000
χ774-44-44-20000-4422-4-4-24-222-200000000-442-20000000000000000002-20000000000000000−2i32i32i3−2i30000000000000000000000
χ784-44-44-20000-4422-4-4-24-222-200000000-442-20000000000000000002-200000000000000002i3−2i3−2i32i30000000000000000000000
χ794-44-4-2400004-4-4-4224-2-222-200000000-224-40000−2i32i32i3−2i30000000000-220000000000−2i32i3000000000000000000000000000000
χ804-44-4-2400004-4-4-4224-2-222-200000000-224-400002i3−2i3−2i32i30000000000-2200000000002i3−2i3000000000000000000000000000000
χ814-44-4-240000-44-4-4224-2-222-2000000002-2-440000−2i32i32i3−2i300000000002-200000000002i3−2i3000000000000000000000000000000
χ824-44-4-240000-44-4-4224-2-222-2000000002-2-4400002i3−2i3−2i32i300000000002-20000000000−2i32i3000000000000000000000000000000
χ834-4-444-2004-400-224-42-4-2-22200-22004-400000000000000000000-220000−2i22i2−2i22i2000000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ844-4-444-2004-400-224-42-4-2-22200-22004-400000000000000000000-2200002i2−2i22i2−2i2000000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ854-4-444-200-4400-224-42-4-2-222002-200-44000000000000000000002-20000−2i22i22i2−2i2000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ864-4-444-200-4400-224-42-4-2-222002-200-44000000000000000000002-200002i2−2i2−2i22i2000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ874-4-44-24004-4004-4-22-42-2-222004-400-2200004-44-4-2-22200000000-220000000000-2200000000000000000000000000000000
χ884-4-44-24004-4004-4-22-42-2-222004-400-220000-44-4422-2-200000000-2200000000002-200000000000000000000000000000000
χ894-4-44-2400-44004-4-22-42-2-22200-44002-200004-4-44-2-222000000002-200000000002-200000000000000000000000000000000
χ904-4-44-2400-44004-4-22-42-2-22200-44002-20000-444-422-2-2000000002-20000000000-2200000000000000000000000000000000
χ9188-8-8-4-48-800004-44-4442-22-2-4400-44000000000000000000002-20000000000000000000000000000000000000000000000
χ9288-8-8-4-4-8800004-44-4442-22-24-4004-400000000000000000000-220000000000000000000000000000000000000000000000
χ938-88-8-4-400008-84444-4-42-2-2200000000-44-440000000000000000002-2000000000000000000000000000000000000000000
χ948-88-8-4-40000-884444-4-42-2-22000000004-44-4000000000000000000-22000000000000000000000000000000000000000000
χ958-8-88-4-4008-800-44-444422-2-200-4400-44000000000000000000002-200000000000000000000000000000000000000000000
χ968-8-88-4-400-8800-44-444422-2-2004-4004-400000000000000000000-2200000000000000000000000000000000000000000000

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