Finite Group Databasebeta

← Group #11876897

Character table — Group #11876897

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666666688888888888888121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666234666661212121212124444444412121212446661212121212121212128888121212121212121212121212224466121224242424888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111111-11-1-1-1111111-1-1111-1-111-1-111111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1111-1-111-1-111-1-111-1-111-1-11-1-11
χ1011111111111111-11-1-1-1111111-1-1111-1-111-1-111111-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1111-1-11-11-111-1-1-1-111-1-111-111-1
χ1111111111111111-11-1-1-1111111-1-1111-1-111-1-11111-11-1-1-1-111-1-111-1-111-1-1-1-111-1-11-1-1-111-1-111-1-11111-1-111-1-1-111-1
χ1211111111111111-11-1-1-1111111-1-1111-1-111-1-11111-11-1-1-1-111-1-111-1-1-1-111-1-111-1-11-1-1-111-11-11-1-111-1-111-1-1111-1-11
χ1311111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-111-1-111-1111-1-1-11-11-1-11111-1-1-1-1111-11-1
χ1411111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1111-1-1-1-111-1-111-1-11111-1-1-11-11
χ1511111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-111-1-1111-1-1-1111-11-111-1-111-1-1-1-111-11-11
χ1611111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-1111-1-1-11111-1-111-1-1-1-11111-1-11-11-1
χ17222222-2-222222222-222222-2-2-2-2-2-22222-2-2-2-2222200222-20000-2-2-2-2000022-2-2-2-200000000000000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-200222-20000-2-2-2-20000-2-2222200000000000000000000000000
χ19222222-2-2222222-222-2-2222-2-2-222-222-2-2-2-222222200-2-2-220000-2-2220000-2-2-2-22200000000000000000000000000
χ20222222-2-2222222-222-2-2222-2-2-222-2-2-22222-2-2-2-2-2-200-2-2-220000-2-22200002222-2-200000000000000000000000000
χ2122222-12222-12-1-12-12-1-1-1-1-12-1-1-1-1222222222-1-1-1-1222-1-12-1-1-1-1-1-1-1-10000-1-1-1-1-1-122-1-1-1-12002-1-1-1-1000000000000
χ2222222-12222-12-1-12-12-1-1-1-1-12-1-1-1-1222222222-1-1-1-1-2-22-1-121111-1-1-1-10000-1-1-1-1-1-1-2-21111-200-21111000000000000
χ2322222-12222-12-1-12-12-1-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-21111222-1-12-1-1-1-1-1-1-1-1000011111122-1-1-1-1-200-21111000000000000
χ2422222-12222-12-1-12-12-1-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-21111-2-22-1-121111-1-1-1-10000111111-2-211112002-1-1-1-1000000000000
χ2522222-12222-12-1-1-2-1-211-1-1-12-1-111222-2-222-2-2-1-1-1-12-2-211-211-1-1-1-111000011-1-111-22-1-111200-2-1-111000000000000
χ2622222-12222-12-1-1-2-1-211-1-1-12-1-111222-2-222-2-2-1-1-1-1-22-211-2-1-111-1-111000011-1-1112-211-1-1-200211-1-1000000000000
χ2722222-12222-12-1-1-2-1-211-1-1-12-1-1112-2-222-2-22211112-2-211-211-1-1-1-1110000-1-111-1-1-22-1-111-200211-1-1000000000000
χ2822222-12222-12-1-1-2-1-211-1-1-12-1-1112-2-222-2-2221111-22-211-2-1-111-1-1110000-1-111-1-12-211-1-1200-2-1-111000000000000
χ2922222-1-2-222-12-1-12-1-2-1-1-1-1-1-21111-22222-2-2-2-2-1-1-1-1002-1-1-2−i3i3−i3i311110000-1-1111100−i3i3−i3i30000−i3i3−i3i3000000000000
χ3022222-1-2-222-12-1-12-1-2-1-1-1-1-1-21111-22222-2-2-2-2-1-1-1-1002-1-1-2i3−i3i3−i311110000-1-1111100i3−i3i3−i30000i3−i3i3−i3000000000000
χ3122222-1-2-222-12-1-12-1-2-1-1-1-1-1-21111-2-2-2-2-222221111002-1-1-2−i3i3−i3i31111000011-1-1-1-100−i3i3−i3i30000i3−i3i3−i3000000000000
χ3222222-1-2-222-12-1-12-1-2-1-1-1-1-1-21111-2-2-2-2-222221111002-1-1-2i3−i3i3−i31111000011-1-1-1-100i3−i3i3−i30000−i3i3−i3i3000000000000
χ3322222-1-2-222-12-1-1-2-1211-1-1-1-211-1-1-222-2-2-2-222-1-1-1-100-2112−i3i3i3−i311-1-100001111-1-100i3−i3−i3i30000i3−i3−i3i3000000000000
χ3422222-1-2-222-12-1-1-2-1211-1-1-1-211-1-1-222-2-2-2-222-1-1-1-100-2112i3−i3−i3i311-1-100001111-1-100−i3i3i3−i30000−i3i3i3−i3000000000000
χ3522222-1-2-222-12-1-1-2-1211-1-1-1-211-1-1-2-2-22222-2-2111100-2112−i3i3i3−i311-1-10000-1-1-1-11100i3−i3−i3i30000−i3i3i3−i3000000000000
χ3622222-1-2-222-12-1-1-2-1211-1-1-1-211-1-1-2-2-22222-2-2111100-2112i3−i3−i3i311-1-10000-1-1-1-11100−i3i3i3−i30000i3−i3−i3i3000000000000
χ372222-1222-1-12-1222-1222-1-1-1-12222-100000000000022-1-1-1-12222-1-1-1-12222000000-1-1-1-1-1-102200000-1-1-1-10000-1-100
χ382222-1222-1-12-1222-1222-1-1-1-12222-100000000000022-1-1-1-12222-1-1-1-1-2-2-2-2000000-1-1-1-1-1-10-2-200000111100001100
χ392222-1222-1-12-1222-1222-1-1-1-12222-1000000000000-2-2-1-1-1-1-2-2-2-2-1-1-1-122220000001111110-2-200000-1-1-1-100001100
χ402222-1222-1-12-1222-1222-1-1-1-12222-1000000000000-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-20000001111110220000011110000-1-100
χ412222-1222-1-12-122-2-1-2-2-2-1-1-1-122-2-2-10000000000002-21111-2-222-1-11122-2-20000001-1-1-11102-200000-1-1110000-1100
χ422222-1222-1-12-122-2-1-2-2-2-1-1-1-122-2-2-10000000000002-21111-2-222-1-111-2-2220000001-1-1-1110-220000011-1-100001-100
χ432222-1222-1-12-122-2-1-2-2-2-1-1-1-122-2-2-1000000000000-22111122-2-2-1-11122-2-2000000-1111-1-10-2200000-1-11100001-100
χ442222-1222-1-12-122-2-1-2-2-2-1-1-1-122-2-2-1000000000000-22111122-2-2-1-111-2-222000000-1111-1-102-20000011-1-10000-1100
χ452-22-2222-2-222-2-2-202000-2-22-22-20022i−2i002i−2i002i2i−2i−2i00000000002-200002-2002i−2i0000000000000000002-2002i−2i0000
χ462-22-2222-2-222-2-2-202000-2-22-22-20022i−2i002i−2i002i2i−2i−2i00000000002-20000-22002i−2i000000000000000000-2200−2i2i0000
χ472-22-2222-2-222-2-2-202000-2-22-22-2002−2i2i00−2i2i00−2i−2i2i2i00000000002-200002-200−2i2i0000000000000000002-200−2i2i0000
χ482-22-2222-2-222-2-2-202000-2-22-22-2002−2i2i00−2i2i00−2i−2i2i2i00000000002-20000-2200−2i2i000000000000000000-22002i−2i0000
χ492-22-222-22-222-2-2-202000-2-222-2200-22i−2i00−2i2i002i2i−2i−2i0000000000-22002i−2i0000−2i2i00000000000000002i−2i002-2000000
χ502-22-222-22-222-2-2-202000-2-222-2200-22i−2i00−2i2i002i2i−2i−2i0000000000-2200−2i2i0000−2i2i0000000000000000−2i2i00-22000000
χ512-22-222-22-222-2-2-202000-2-222-2200-2−2i2i002i−2i00−2i−2i2i2i0000000000-22002i−2i00002i−2i00000000000000002i−2i00-22000000
χ522-22-222-22-222-2-2-202000-2-222-2200-2−2i2i002i−2i00−2i−2i2i2i0000000000-2200−2i2i00002i−2i0000000000000000−2i2i002-2000000
χ534444-24-4-4-2-24-2444-2-444-2-2-22-4-4-4-4200000000000000-2-2-2200002222000000000000000000000000000000000000
χ544444-24-4-4-2-24-244-4-24-4-4-2-2-22-4-444200000000000000222-2000022-2-2000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000000044-211-2-2-2-2-211110000000000-2-2111100000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2000000000000-4-4-211-222221111000000000022-1-1-1-100000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-222-20000000000004-42-1-1222-2-211-1-100000000002-211-1-100000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-222-2000000000000-442-1-12-2-22211-1-10000000000-22-1-11100000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200000000000000-2112−2i32i3−2i32i3-1-1-1-1000000000000i3−i3i3−i300000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200000000000000-21122i3−2i32i3−2i3-1-1-1-1000000000000−i3i3−i3i300000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-41422111222-2-22000000000000002-1-1-2−2i32i32i3−2i3-1-111000000000000−i3i3i3−i300000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41422111222-2-22000000000000002-1-1-22i3−2i3−2i32i3-1-111000000000000i3−i3−i3i300000000000000000000
χ6344-4-44400-4-4-444-404000-44-40000000000004i−4i000000000000000000000000004i−4i00000000000000000000000000
χ6444-4-44400-4-4-444-404000-44-4000000000000−4i4i00000000000000000000000000−4i4i00000000000000000000000000
χ6544-4-44-200-4-424-220-20002-2200023−2300000004i−4i−2i32i3−2i32i300000000000023−2300000000−2i2i00000000000000000000000000
χ6644-4-44-200-4-424-220-20002-2200023−230000000−4i4i2i3−2i32i3−2i300000000000023−23000000002i−2i00000000000000000000000000
χ6744-4-44-200-4-424-220-20002-22000−232300000004i−4i2i3−2i32i3−2i3000000000000−232300000000−2i2i00000000000000000000000000
χ6844-4-44-200-4-424-220-20002-22000−23230000000−4i4i−2i32i3−2i32i3000000000000−2323000000002i−2i00000000000000000000000000
χ694-44-44-24-4-44-2-4220-200022-2-4-220044i−4i004i−4i00−2i−2i2i2i0000000000-2200000000−2i2i0000000000000000000000000000
χ704-44-44-24-4-44-2-4220-200022-2-4-22004−4i4i00−4i4i002i2i−2i−2i0000000000-22000000002i−2i0000000000000000000000000000
χ714-44-44-2-44-44-2-4220-200022-242-200-44i−4i00−4i4i00−2i−2i2i2i00000000002-2000000002i−2i0000000000000000000000000000
χ724-44-44-2-44-44-2-4220-200022-242-200-4−4i4i004i−4i002i2i−2i−2i00000000002-200000000−2i2i0000000000000000000000000000
χ734-44-4-244-42-242-4-40-200022-224-400-20000000000000000000000-2200004-40000000000000000000000-2200000000
χ744-44-4-244-42-242-4-40-200022-224-400-20000000000000000000000-220000-4400000000000000000000002-200000000
χ754-44-4-24-442-242-4-40-200022-2-2-4400200000000000000000000002-2004i−4i0000000000000000000000−2i2i0000000000
χ764-44-4-24-442-242-4-40-200022-2-2-4400200000000000000000000002-200−4i4i00000000000000000000002i−2i0000000000
χ774-4-4444004-4-4-4-44040004-4-4000000004i−4i000000000000000000000000004i−4i000000000000000000000000000000
χ784-4-4444004-4-4-4-44040004-4-400000000−4i4i00000000000000000000000000−4i4i000000000000000000000000000000
χ794-4-444-2004-42-42-20-20−2i32i3-222000000004i−4i000023−23−2323000−2i32i30000000000000−2i2i000000000000000000000000000000
χ804-4-444-2004-42-42-20-20−2i32i3-22200000000−4i4i0000−232323−23000−2i32i300000000000002i−2i000000000000000000000000000000
χ814-4-444-2004-42-42-20-202i3−2i3-222000000004i−4i0000−232323−230002i3−2i30000000000000−2i2i000000000000000000000000000000
χ824-4-444-2004-42-42-20-202i3−2i3-22200000000−4i4i000023−23−23230002i3−2i300000000000002i−2i000000000000000000000000000000
χ8388-8-8-480044-8-48-80-40004-4400000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400444-4-4402000-22-200043−430000000000000000000000000−2323000000000000000000000000000000000000
χ8588-8-8-4-400444-4-4402000-22-2000−4343000000000000000000000000023−23000000000000000000000000000000000000
χ868-88-8-4-48-84-4-444402000-2-224-4400-400000000000000000000002-200000000000000000000000000000000000000
χ878-88-8-4-4-884-4-444402000-2-22-44-40040000000000000000000000-2200000000000000000000000000000000000000
χ888-8-88-4800-44-84-880-4000-44400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-44444-4020−4i34i32-2-20000000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ908-8-88-4-400-44444-40204i3−4i32-2-2000000000000000000000−2i32i3000000000000000000000000000000000000000000000

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