Finite Group Databasebeta

← Group #11888687

Character table — Group #11888687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666634466612121212121244441212121212121212121212121222224666688121212121212121212124446681212242424244488121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1-1-111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-1111-1-1-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-11-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-111-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1111-111-111111111-1-11-111-1-1-11-11-1-1-1-111-1-111111-1-1-1
χ10111111111111111-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1111-111-11111-1-111-1-11-111-1-1-1-111-11-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11-1-1111-111-1-11111-1-1-1-111-111-1
χ12111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-11-1111-1-11111-1-11-1-11
χ13111111111111111-1-1111-1-11111-1-11-1-1-1-111-1-1-1-1-1-111-11-1-11-1-1-1-111-1-1111-111-1-111-1-11-11111-1-1-1-1-1-11-111
χ14111111111111111-1-1111-1-11111-1-11-1-1-1-111-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-1111-111-1-11-11-11111-1-1111111-11-1-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-111-11111111111-1-111-11-1-111-1-11-11-1-1-111-1-111-1-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-111-111111111-1-1-1-111-11-1-111-11-1-111-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-222222-2-2-2-22200-22-2000022-2-2-2-2-2-20020000002222000000000-2-2000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-200-22-2000022-2-2-2-22200-2000000-2-2-2-200000000022000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222002-220000-2-222-2-2-2200-200000022-2-2000000000-22000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2002-220000-2-222-2-22-2002000000-2-2220000000002-2000000000000000
χ2122222-122-1222-1-1-122-1-1-1-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-100-1-1-1-122-1-1-1-1200-1-10-1-1000000000000
χ2222222-122-1222-1-1-122-1-1-1-1-1-1-12222-2-2-1221111-1-1-1-1-1-122-2-22111100-1-1-1-1-2-21111-200-1-1011000000000000
χ2322222-122-1222-1-1-122-1-1-1-1-1-1-122-2-222-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111100111122-1-1-1-1-20011011000000000000
χ2422222-122-1222-1-1-122-1-1-1-1-1-1-122-2-2-2-2-1221111-1-1-1-1-1-1-2-222-2-1-1-1-1001111-2-21111200110-1-1000000000000
χ2522222-122-1222-1-1-1-2-2-1-1-111-1-122222-21-2-2-1-1111111-1-12-222-2-1-1-1-100-1-1112-2-1-111-200-11011000000000000
χ2622222-122-1222-1-1-1-2-2-1-1-111-1-12222-221-2-211-1-11111-1-12-2-2-2-2111100-1-111-2211-1-1200-110-1-1000000000000
χ2722222-122-1222-1-1-1-2-2-1-1-111-1-122-2-22-21-2-2-1-1111111-1-1-22-2-2211110011-1-12-2-1-1112001-10-1-1000000000000
χ2822222-122-1222-1-1-1-2-2-1-1-111-1-122-2-2-221-2-211-1-11111-1-1-22222-1-1-1-10011-1-1-2211-1-1-2001-1011000000000000
χ2922222-1-2-2-1222-1-1-12-2-1-1-1-1-111-2-2220012-2−i3i3−i3i3-1-11111-2-2002−i3−i3i3i300-1-1-1-100−i3i3−i3i3000110−i3i3000000000000
χ3022222-1-2-2-1222-1-1-12-2-1-1-1-1-111-2-2220012-2i3−i3i3−i3-1-11111-2-2002i3i3−i3−i300-1-1-1-100i3−i3i3−i3000110i3−i3000000000000
χ3122222-1-2-2-1222-1-1-12-2-1-1-1-1-111-2-2-2-20012-2−i3i3−i3i3-1-111112200-2i3i3−i3−i300111100−i3i3−i3i3000-1-10i3−i3000000000000
χ3222222-1-2-2-1222-1-1-12-2-1-1-1-1-111-2-2-2-20012-2i3−i3i3−i3-1-111112200-2−i3−i3i3i300111100i3−i3i3−i3000-1-10−i3i3000000000000
χ3322222-1-2-2-1222-1-1-1-22-1-1-11111-2-22200-1-22−i3i3i3−i311-1-111-2200-2−i3−i3i3i300-1-11100−i3i3i3−i30001-10i3−i3000000000000
χ3422222-1-2-2-1222-1-1-1-22-1-1-11111-2-22200-1-22i3−i3−i3i311-1-111-2200-2i3i3−i3−i300-1-11100i3−i3−i3i30001-10−i3i3000000000000
χ3522222-1-2-2-1222-1-1-1-22-1-1-11111-2-2-2-200-1-22−i3i3i3−i311-1-1112-2002i3i3−i3−i30011-1-100−i3i3i3−i3000-110−i3i3000000000000
χ3622222-1-2-2-1222-1-1-1-22-1-1-11111-2-2-2-200-1-22i3−i3−i3i311-1-1112-2002−i3−i3i3i30011-1-100i3−i3−i3i3000-110i3−i3000000000000
χ372222-12222-1-1-122-122-1-1-12222-1-100222-1-12222-1-1-1-1-1-1000000000220000-1-1-1-1-1-102200200-1-1-1-10000-1-100
χ382222-12222-1-1-122-122-1-1-12222-1-100222-1-12222-1-1-1-1-1-1000000000-2-20000-1-1-1-1-1-10-2-200-200111100001100
χ392222-12222-1-1-122-122-1-1-12222-1-100-2-22-1-1-2-2-2-2-1-1-1-1-1-10000000002200001111110-2-200200-1-1-1-100001100
χ402222-12222-1-1-122-122-1-1-12222-1-100-2-22-1-1-2-2-2-2-1-1-1-1-1-1000000000-2-2000011111102200-20011110000-1-100
χ412222-12222-1-1-122-1-2-2-1-1-1-2-222-1-1002-2-21122-2-21111-1-1000000000220000-11-1-11102-200-200-1-1110000-1100
χ422222-12222-1-1-122-1-2-2-1-1-1-2-222-1-1002-2-21122-2-21111-1-1000000000-2-20000-11-1-1110-220020011-1-100001-100
χ432222-12222-1-1-122-1-2-2-1-1-1-2-222-1-100-22-211-2-2221111-1-10000000002200001-111-1-10-2200-200-1-11100001-100
χ442222-12222-1-1-122-1-2-2-1-1-1-2-222-1-100-22-211-2-2221111-1-1000000000-2-200001-111-1-102-20020011-1-10000-1100
χ4522-2-2222-2-22-2-2-22200-2-22002-22-20000000000000002-2002-202-22-22i−2i0000000000000000002i−2i002i−2i000000
χ4622-2-2222-2-22-2-2-22200-2-22002-22-20000000000000002-2002-202-22-2−2i2i000000000000000000−2i2i00−2i2i000000
χ4722-2-2222-2-22-2-2-22200-2-22002-22-20000000000000002-200-220-22-222i−2i0000000000000000002i−2i00−2i2i000000
χ4822-2-2222-2-22-2-2-22200-2-22002-22-20000000000000002-200-220-22-22−2i2i000000000000000000−2i2i002i−2i000000
χ494444-24-4-44-2-2-244-24-4-2-2-244-4-4220000-4-220000-2-2222200000000000000000000000000000000000000000
χ504444-24-4-44-2-2-244-2-44-2-2-2-4-4-4-422000042-2000022-2-22200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-4-2-2-2222211111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2004-4222-2-222-1-1-1-111000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-4422222-2-2-1-1-1-1110000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-2222200002-22−2i32i3−2i32i311-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-2222200002-222i3−2i32i3−2i311-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-441112222220000-22-2−2i32i32i3−2i3-1-111-1-100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-441112222220000-22-22i3−2i3−2i32i3-1-111-1-100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444-44-44-4-4-44400-4-4400-44-44000000000000000-4400000000000000000000000000000000000000000
χ6044-4-44-24-424-4-42-2-20022-200-224-4000000000000000-22004-40-22-2200000000000000000000000000000000
χ6144-4-44-24-424-4-42-2-20022-200-224-4000000000000000-2200-4402-22-200000000000000000000000000000000
χ6244-4-44-2-4424-4-42-2-20022-2002-2-440000000000000002-200000−2i32i32i3−2i300000000000000000000000000000000
χ6344-4-44-2-4424-4-42-2-20022-2002-2-440000000000000002-2000002i3−2i3−2i32i300000000000000000000000000000000
χ6444-4-4-244-4-4-222-44-20022-2004-4-22000000000000000-220000000004i−4i000000000000000000−2i2i0000000000
χ6544-4-4-244-4-4-222-44-20022-2004-4-22000000000000000-22000000000−4i4i0000000000000000002i−2i0000000000
χ6644-4-4-24-44-4-222-44-20022-200-442-20000000000000002-2000000000000000000000000000000023−2300000000
χ6744-4-4-24-44-4-222-44-20022-200-442-20000000000000002-20000000000000000000000000000000−232300000000
χ684-44-44400-4-44-44-44004-4-40000004i−4i000000000000000000000000004i−4i0000000000000000000000000000
χ694-44-44400-4-44-44-44004-4-4000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000000
χ704-44-44-2002-44-4-22-200-222−2i32i300004i−4i000000000−2i32i3000000000000000−2i2i23−2300000000000000000000000000
χ714-44-44-2002-44-4-22-200-222−2i32i30000−4i4i000000000−2i32i30000000000000002i−2i−232300000000000000000000000000
χ724-44-44-2002-44-4-22-200-2222i3−2i300004i−4i0000000002i3−2i3000000000000000−2i2i−232300000000000000000000000000
χ734-44-44-2002-44-4-22-200-2222i3−2i30000−4i4i0000000002i3−2i30000000000000002i−2i23−2300000000000000000000000000
χ744-4-4444004-4-44-4-4400-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ754-4-4444004-4-44-4-4400-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ7688-8-8-4-48-84-4444-4200-2-2200-44-440000000000000002-200000000000000000000000000000000000000000
χ7788-8-8-4-4-884-4444-4200-2-22004-44-4000000000000000-2200000000000000000000000000000000000000000
χ788-88-8-4800-84-448-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-44-442002-2-2−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000000
χ808-88-8-4-40044-44-442002-2-24i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000000
χ818-8-888-400-4-8-8844-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800844-4-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-444-444200-22-200000000000000000006-60000000000000000000000000000000000000000000
χ848-8-88-4-400-444-444200-22-20000000000000000000-660000000000000000000000000000000000000000000

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