Finite Group Databasebeta

← Group #11878856

Character table — Group #11878856

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order12222233446666663466666661212121244661212121212128888888812121212121212124444442222666666662424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1111-11-111-1-111-1-111-1-111-1-1-11-1
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-11
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-111-1-1-11111-1-1-1-11111-1-11-11
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-11-11-1-111-1-111-1-111-1-111-11-1
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-11-11-1-111-1-11111-1-111-1-1-1-11
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-111-1-1-11111-1-111-1-1-1-11111-1
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11-1-1111-1-1-1-111-1-11111-1-111-1
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1111-11-111-1-111-1-1-1-111-1-111-1-11
χ1722222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-200000000000000002222-2-200000000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-20000000000000000-2-2-2-22200000000000000000000200
χ192222222-1222-12-12-1-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-1000022222-12-1-1-1-1-100000000220000-1-1-1-10000-1-1-1-1000
χ202222222-1222-12-12-1-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-10000-2-2-2-22-12-1-1-1-1-100000000-2-20000111100001111000
χ212222222-1222-12-12-1-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-100002222-21-21111100000000-2-2000011110000-1-1-1-1000
χ222222222-1222-12-12-1-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-10000-2-2-2-2-21-21111100000000220000-1-1-1-100001111000
χ23222222-1222-12-12-12-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-122220000-12-12-1-1-1-10000002200-1-1-1-10000-1-1-1-10000000
χ24222222-1222-12-12-12-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-1-2-2-2-20000-12-12-1-1-1-1000000-2-2001111000011110000000
χ25222222-1222-12-12-12-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-1222200001-21-21111000000-2-20011110000-1-1-1-10000000
χ26222222-1222-12-12-12-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-1-2-2-2-200001-21-211110000002200-1-1-1-1000011110000000
χ272222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-222000000000000000022-2-2-2-200000000000000000000200
χ282222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-2220000000000000000-2-2222200000000000000000000-200
χ292222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-12-211-21-1-111000022-2-2-212-111-1-1000000002-20000-1-1110000-1-111000
χ302222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-12-211-21-1-1110000-2-222-212-111-1-100000000-22000011-1-1000011-1-1000
χ312222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-1-2211-21-1-111000022-2-22-1-21-1-11100000000-22000011-1-10000-1-111000
χ322222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-1-2211-21-1-1110000-2-2222-1-21-1-111000000002-20000-1-111000011-1-1000
χ332222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-1222-2111-2-1-11122-2-200001-2-1211-1-10000002-200-1-1110000-1-1110000000
χ342222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-1222-2111-2-1-111-2-22200001-2-1211-1-1000000-220011-1-1000011-1-10000000
χ352222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-122-22111-2-1-11122-2-20000-121-2-1-111000000-220011-1-10000-1-1110000000
χ362222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-122-22111-2-1-111-2-2220000-121-2-1-1110000002-200-1-111000011-1-10000000
χ3722-2-22-2220022-2-2-2-2202-22-22-2-20000002-2000000−i2i2−i2i2−i2i2−i2i2000000002-22-200000000000000−i2i2−i2i2−i2i2−i2i2000
χ3822-2-22-2220022-2-2-2-2202-22-22-2-20000002-2000000−i2i2−i2i2i2−i2i2−i200000000-22-2200000000000000−i2i2−i2i2i2−i2i2−i2000
χ3922-2-22-2220022-2-2-2-2202-22-22-2-20000002-2000000i2−i2i2−i2−i2i2−i2i200000000-22-2200000000000000i2−i2i2−i2−i2i2−i2i2000
χ4022-2-22-2220022-2-2-2-2202-22-22-2-20000002-2000000i2−i2i2−i2i2−i2i2−i2000000002-22-200000000000000i2−i2i2−i2i2−i2i2−i2000
χ4122-2-2-22220022-2-2-2-220-22-222-2-2000000-22000000−i2i2i2−i2−i2i2i2−i2000000002-2-2200000000000000−i2i2i2−i2−i2i2i2−i2000
χ4222-2-2-22220022-2-2-2-220-22-222-2-2000000-22000000−i2i2i2−i2i2−i2−i2i200000000-222-200000000000000−i2i2i2−i2i2−i2−i2i2000
χ4322-2-2-22220022-2-2-2-220-22-222-2-2000000-22000000i2−i2−i2i2−i2i2i2−i200000000-222-200000000000000i2−i2−i2i2−i2i2i2−i2000
χ4422-2-2-22220022-2-2-2-220-22-222-2-2000000-22000000i2−i2−i2i2i2−i2−i2i2000000002-2-2200000000000000i2−i2−i2i2i2−i2−i2i2000
χ454444444-2-4-44-24-24-2-2-444-2-2-2-2-2-4-42200-2-2-422222000000000000000000000000000000000000000000000
χ46444444-24-4-4-24-24-24-2-4-2-244-2-2-222-4-400-2-22-42222000000000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-24411-2-2111100000000-2-2-2-2111100000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-411-2-21111000000002222-1-1-1-100000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-10000000000003-33-300000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-1000000000000-33-3300000000000000000000000000000
χ514444-4-44-2-4-44-24-24-2-24-4-422-2-2-2-4-42200224-222-2-2000000000000000000000000000000000000000000000
χ524444-4-4-24-4-4-24-24-24-2422-4-4-2-2-222-4-40022-2422-2-2000000000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12211-1-10000000022-2-2-1-11100000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12211-1-100000000-2-22211-1-100000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-1110000000000003-3-3300000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-111000000000000-333-300000000000000000000000000000
χ5744-4-44-44-2004-2-42-42-204-4-22-222000000-220000000000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i2000
χ5844-4-44-44-2004-2-42-42-204-4-22-222000000-2200000000002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i2000
χ5944-4-44-4-2400-242-42-4-20-224-4-222000000-22000000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i20000000
χ6044-4-44-4-2400-242-42-4-20-224-4-222000000-220000002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i20000000
χ6144-4-4-444-2004-2-42-42-20-442-2-2220000002-20000000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2000
χ6244-4-4-444-2004-2-42-42-20-442-2-2220000002-200000000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2000
χ6344-4-4-44-2400-242-42-4-202-2-44-2220000002-2000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i20000000
χ6444-4-4-44-2400-242-42-4-202-2-44-2220000002-20000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i20000000
χ654-44-400444-4-4-4-4-444400000-4-444-44-40000004-400000000000000000000000000000000000000000000000
χ664-44-40044-44-4-4-4-444400000-4-44-44-44000000-4400000000000000000000000000000000000000000000000
χ674-44-4004-24-4-42-424-2-20000022-24-4-22000000-220000000000000000000000000000000000−2i32i300000000000
χ684-44-4004-24-4-42-424-2-20000022-24-4-22000000-2200000000000000000000000000000000002i3−2i300000000000
χ694-44-4004-2-44-42-424-2-20000022-2-442-20000002-200000000000000000000000000000000−2i32i30000000000000
χ704-44-4004-2-44-42-424-2-20000022-2-442-20000002-2000000000000000000000000000000002i3−2i30000000000000
χ714-44-400-244-42-42-4-24-20000022-2-224-4000000-220000000000000000000000000000−2i32i300000000000000000
χ724-44-400-244-42-42-4-24-20000022-2-224-4000000-2200000000000000000000000000002i3−2i300000000000000000
χ734-44-400-24-442-42-4-24-20000022-22-2-440000002-2000000000000000000000000000000−2i32i3000000000000000
χ744-44-400-24-442-42-4-24-20000022-22-2-440000002-20000000000000000000000000000002i3−2i3000000000000000
χ754-4-44004400-4-444-4-4400000-44-400000000000000000000000000000000004-400000000000000000000000
χ764-4-44004400-4-444-4-4400000-44-40000000000000000000000000000000000-4400000000000000000000000
χ7788-8-88-8-4-400-4-4444420-44-442-2-20000002-2000000000000000000000000000000000000000000000000000
χ7888-8-8-88-4-400-4-44444204-44-42-2-2000000-22000000000000000000000000000000000000000000000000000
χ798-88-800-4-48-84444-4-4200000-2-22-44-440000002-200000000000000000000000000000000000000000000000
χ808-88-800-4-4-884444-4-4200000-2-224-44-4000000-2200000000000000000000000000000000000000000000000
χ818-8-88008-400-848-4-84-4000004-4400000000000000000000000000000000000000000000000000000000000
χ828-8-8800-48004-8-484-8-4000004-4400000000000000000000000000000000000000000000000000000000000
χ838-8-8800-4-40044-4-444200000-22-20000000000006i−6i000000000000000000000000000000000000000000000
χ848-8-8800-4-40044-4-444200000-22-2000000000000−6i6i000000000000000000000000000000000000000000000

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