Finite Group Databasebeta

← Group #11878665

Character table — Group #11878665

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212224444666622666612121212121212488881212121212126666662224666666121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-111111-111-1-1-111-1-1-1-1111-1-111-1-1-1-11-111-1-11-11-11111-1-1-1-111-1-111-1-1-11
χ10111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-111111-111-1-1-111-1-1-1-11-1-11111-1-1-1-11-111-1-11-1-11-1-111-1-111-1-111-1-1111-1
χ11111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-11111-11-1-111-111-1-1-1-1111-1-111-1-1-1-1-11-1-111-11-11-1-1-1-1111111-1-111-1-11-1
χ12111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-11111-11-1-111-111-1-1-1-11-1-11111-1-1-1-1-11-1-111-111-111-1-111-1-1-1-111-1-111-11
χ13111111-1-1111111111-1111111-1-1-1-1-1-11-1-11111-1-1-1-11-111-1-1-111-1-1-1-1-111-1-1-1-111111-111-1-1-111-111-1-111-1-111-1-1-1-1111-1
χ14111111-1-1111111111-1111111-1-1-1-1-1-11-1-11111-1-1-1-11-111-1-1-111-1-1-1-1-1-1-111-1-111111-111-1-1-11-11-1-1-1-11111-1-11111-1-1-11
χ15111111-1-1111111111-1111111-1-1-1-1-1-11-1-11111-1-1-1-1-11-1-111-111-1-1-1-1-111-1-1-1-11111-11-1-1111-1-11-1-111-1-11111-1-1-1-111-11
χ16111111-1-1111111111-1111111-1-1-1-1-1-11-1-11111-1-1-1-1-11-1-111-111-1-1-1-1-1-1-111-1-11111-11-1-1111-11-11111-1-1-1-1-1-11111-1-11-1
χ1722222222-2-22222222-2222-2-2-222-2-222-222-2-2222222000000-2-2-222-2-2-20000-2-222-2-20000000000000000000000000000
χ1822222222-2-22222222-2222-2-2-222-2-222-2-2-222-2-2-2-2-2-2000000-2-2-222-2-22000022-2-2220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-222-2-2-22222-2-222220000002-2-2-2-222-20000-2-2-2-2220000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-222-2-2-2-2-2-2-222-2-2-2-20000002-2-2-2-222200002222-2-20000000000000000000000000000
χ2122222-1222222-1-1-12-12-1-1-12-1-1-1-1-1-1222222222-1-1-1-122-1-1-1-12-1-1-1-1-1-120000-1-1-1-1-1-122-1-1-1-1220000-1-1-1-1000000000000
χ2222222-1222222-1-1-12-12-1-1-12-1-1-1-1-1-1222222222-1-1-1-1-2-211112-1-1-1-1-1-120000-1-1-1-1-1-1-2-21111-2-200001111000000000000
χ2322222-1222222-1-1-12-12-1-1-12-1-1-1-1-1-1222-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-1-2000011111122-1-1-1-1-2-200001111000000000000
χ2422222-1222222-1-1-12-12-1-1-12-1-1-1-1-1-1222-2-2-2-2-2-21111-2-211112-1-1-1-1-1-1-20000111111-2-21111220000-1-1-1-1000000000000
χ2522222-122-2-222-1-1-12-1-2-1-1-1-211-1-11122-222-2-222-1-1-1-100−i3i3−i3i3-211-1-111-2000011-1-11100−i3i3−i3i3000000−i3i3−i3i3000000000000
χ2622222-122-2-222-1-1-12-1-2-1-1-1-211-1-11122-222-2-222-1-1-1-100i3−i3i3−i3-211-1-111-2000011-1-11100i3−i3i3−i3000000i3−i3i3−i3000000000000
χ2722222-122-2-222-1-1-12-1-2-1-1-1-211-1-11122-2-2-222-2-2111100−i3i3−i3i3-211-1-11120000-1-111-1-100−i3i3−i3i3000000i3−i3i3−i3000000000000
χ2822222-122-2-222-1-1-12-1-2-1-1-1-211-1-11122-2-2-222-2-2111100i3−i3i3−i3-211-1-11120000-1-111-1-100i3−i3i3−i3000000−i3i3−i3i3000000000000
χ2922222-1-2-22222-1-1-12-1-2-1-1-12-1-11111-2-2222-2-2-2-2-1-1-1-12-2-1-111-2-1-1111120000-1-111112-2-1-1112-20000-1-111000000000000
χ3022222-1-2-22222-1-1-12-1-2-1-1-12-1-11111-2-2222-2-2-2-2-1-1-1-1-2211-1-1-2-1-1111120000-1-11111-2211-1-1-22000011-1-1000000000000
χ3122222-1-2-22222-1-1-12-1-2-1-1-12-1-11111-2-22-2-2222211112-2-1-111-2-1-11111-2000011-1-1-1-12-2-1-111-22000011-1-1000000000000
χ3222222-1-2-22222-1-1-12-1-2-1-1-12-1-11111-2-22-2-222221111-2211-1-1-2-1-11111-2000011-1-1-1-1-2211-1-12-20000-1-111000000000000
χ3322222-1-2-2-2-222-1-1-12-12-1-1-1-21111-1-1-2-2-22222-2-2-1-1-1-100−i3i3i3−i321111-1-1-200001111-1-100−i3i3i3−i3000000−i3i3i3−i3000000000000
χ3422222-1-2-2-2-222-1-1-12-12-1-1-1-21111-1-1-2-2-22222-2-2-1-1-1-100i3−i3−i3i321111-1-1-200001111-1-100i3−i3−i3i3000000i3−i3−i3i3000000000000
χ3522222-1-2-2-2-222-1-1-12-12-1-1-1-21111-1-1-2-2-2-2-2-2-222111100−i3i3i3−i321111-1-120000-1-1-1-11100−i3i3i3−i3000000i3−i3−i3i3000000000000
χ3622222-1-2-2-2-222-1-1-12-12-1-1-1-21111-1-1-2-2-2-2-2-2-222111100i3−i3−i3i321111-1-120000-1-1-1-11100i3−i3−i3i3000000−i3i3i3−i3000000000000
χ372222-122222-1-1222-1-12-1-1-1-1222222-1-1-10000000000222222-1-1-1-1-1-1-102222000000-1-1-1-1-1-10022-1-10000-1-1-1-1-1-1000000
χ382222-122222-1-1222-1-12-1-1-1-1222222-1-1-10000000000222222-1-1-1-1-1-1-10-2-2-2-2000000-1-1-1-1-1-100-2-2110000111111000000
χ392222-122222-1-1222-1-12-1-1-1-1222222-1-1-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-10222200000011111100-2-211000011-1-1-1-1000000
χ402222-122222-1-1222-1-12-1-1-1-1222222-1-1-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-10-2-2-2-20000001111110022-1-10000-1-11111000000
χ412222-12-2-222-1-1222-1-1-2-1-1-1-122-2-2-2-211-100000000002-222-2-21-1-11111022-2-2000000-11-1-111002-2-1-1000011-1-111000000
χ422222-12-2-222-1-1222-1-1-2-1-1-1-122-2-2-2-211-100000000002-222-2-21-1-111110-2-222000000-11-1-11100-22110000-1-111-1-1000000
χ432222-12-2-222-1-1222-1-1-2-1-1-1-122-2-2-2-211-10000000000-22-2-2221-1-11111022-2-20000001-111-1-100-22110000-1-1-1-111000000
χ442222-12-2-222-1-1222-1-1-2-1-1-1-122-2-2-2-211-10000000000-22-2-2221-1-111110-2-2220000001-111-1-1002-2-1-100001111-1-1000000
χ452-2-22222-200-2-22-2-22202-2-20002-2002-202-2002-222-2-20000000002-20002−22−2002-2000000000000000000002−22−22−22−200
χ462-2-22222-200-2-22-2-22202-2-20002-2002-202-2002-222-2-20000000002-2000−22−22002-200000000000000000000−22−22−22−2200
χ472-2-22222-200-2-22-2-22202-2-20002-2002-20-2200-22-2-2220000000002-20002−22−200-22000000000000000000002−22−2−22−2200
χ482-2-22222-200-2-22-2-22202-2-20002-2002-20-2200-22-2-2220000000002-2000−22−2200-2200000000000000000000−22−222−22−200
χ492-2-2222-2200-2-22-2-22202-2-2000-2200-2202-200-2222-2-2000000000-220002−2−2200-22000000000000000000002−2−222−2−2200
χ502-2-2222-2200-2-22-2-22202-2-2000-2200-2202-200-2222-2-2000000000-22000−222−200-2200000000000000000000−222−2−222−200
χ512-2-2222-2200-2-22-2-22202-2-2000-2200-220-22002-2-2-222000000000-220002−2−22002-2000000000000000000002−2−22−222−200
χ522-2-2222-2200-2-22-2-22202-2-2000-2200-220-22002-2-2-222000000000-22000−222−2002-200000000000000000000−222−22−2−2200
χ534444-2444-4-4-2-2444-2-2-4-2-2-22-4-444-4-4-2-220000000000000000222-2-222000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-2444-2-24-2-2-22-4-4-4-4442220000000000000000-22222-2-2000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-42222-21111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-4111222-2-222-2-22000000000000−2i32i3−2i32i32-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-4111222-2-222-2-220000000000002i3−2i32i3−2i32-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-200000000004-4-2-222211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-20000000000-4422-2-2211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000000000−2i32i32i3−2i3-2-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-22220000000000002i3−2i3−2i32i3-2-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-44400004-4-44-4-440-44-40000000000004-400000000000000000000000000004-40000000000000000000000000000
χ6444-4-44400004-4-44-4-440-44-4000000000000-440000000000000000000000000000-440000000000000000000000000000
χ6544-4-44-200004-42-22-4-202-2200000−2i32i3000004-400−2i32i3−2i32i300000000000−2i32i3000000000-220000000000000000000000000000
χ6644-4-44-200004-42-22-4-202-2200000−2i32i300000-44002i3−2i32i3−2i300000000000−2i32i30000000002-20000000000000000000000000000
χ6744-4-44-200004-42-22-4-202-22000002i3−2i3000004-4002i3−2i32i3−2i3000000000002i3−2i3000000000-220000000000000000000000000000
χ6844-4-44-200004-42-22-4-202-22000002i3−2i300000-4400−2i32i3−2i32i3000000000002i3−2i30000000002-20000000000000000000000000000
χ694-44-444004-4-44-4-44-440-4-44-44-40000004000000000000000004-40000000000000000000000000000000000000000000
χ704-44-44400-44-44-4-44-440-4-444-44000000-400000000000000000-440000000000000000000000000000000000000000000
χ714-44-44-2004-4-4422-2-4-2022-2-4-220000004000000−2i32i32i3−2i30000000-22000000000−2i32i300000000000000000000000000000000
χ724-44-44-2004-4-4422-2-4-2022-2-4-2200000040000002i3−2i3−2i32i30000000-220000000002i3−2i300000000000000000000000000000000
χ734-44-44-200-44-4422-2-4-2022-242-2000000-4000000−2i32i32i3−2i300000002-20000000002i3−2i300000000000000000000000000000000
χ744-44-44-200-44-4422-2-4-2022-242-2000000-40000002i3−2i3−2i32i300000002-2000000000−2i32i300000000000000000000000000000000
χ754-44-4-24004-42-2-4-442-2022-224-4000000-200000000000000000-220000000000000000000000000−2i32i30000000000000000
χ764-44-4-24004-42-2-4-442-2022-224-4000000-200000000000000000-2200000000000000000000000002i3−2i30000000000000000
χ774-44-4-2400-442-2-4-442-2022-2-2-440000002000000000000000002-2000000000000000000000000000000023−230000000000
χ784-44-4-2400-442-2-4-442-2022-2-2-440000002000000000000000002-20000000000000000000000000000000−23230000000000
χ794-4-444-24-400-4-4-2224-20-222000-22004-404-4004-4-2-222000000000-22000000000-22000000000000000000000000000000
χ804-4-444-24-400-4-4-2224-20-222000-22004-40-4400-4422-2-2000000000-220000000002-2000000000000000000000000000000
χ814-4-444-2-4400-4-4-2224-20-2220002-200-4404-400-44-2-2220000000002-20000000002-2000000000000000000000000000000
χ824-4-444-2-4400-4-4-2224-20-2220002-200-440-44004-422-2-20000000002-2000000000-22000000000000000000000000000000
χ834-4-44-244-400224-4-4-2-20-2220004-400-2200000000000000000000-2200022−2222−22000000000000000000000000−22−22000000
χ844-4-44-244-400224-4-4-2-20-2220004-400-2200000000000000000000-22000−2222−22220000000000000000000000002−22−2000000
χ854-4-44-24-4400224-4-4-2-20-222000-44002-2000000000000000000002-200022−22−2222000000000000000000000000−222−2000000
χ864-4-44-24-4400224-4-4-2-20-222000-44002-2000000000000000000002-2000−222222−220000000000000000000000002−2−22000000
χ8788-8-8-480000-44-88-84-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-444-44420-22-200000−4i34i30000000000000000000000002i3−2i3000000000000000000000000000000000000000
χ8988-8-8-4-40000-444-44420-22-2000004i3−4i3000000000000000000000000−2i32i3000000000000000000000000000000000000000
χ908-88-8-4-4008-84-444-4420-2-224-44000000-4000000000000000002-20000000000000000000000000000000000000000000
χ918-88-8-4-400-884-444-4420-2-22-44-4000000400000000000000000-220000000000000000000000000000000000000000000
χ928-8-88-4-48-80044-444-4202-2-2000-4400-44000000000000000000002-200000000000000000000000000000000000000000
χ938-8-88-4-4-880044-444-4202-2-20004-4004-400000000000000000000-2200000000000000000000000000000000000000000

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