Finite Group Databasebeta

← Group #11878723

Character table — Group #11878723

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order122222334466666634666666612121212246612121212121288888888666612121212444444444412121212121212122424242424242424424
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
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-11-11-111-1-111-1-111-1-111-1-1-11-1
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1111-11
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-11111-1-11-11
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-11-11-1-111-1-111-1-111-1-111-11-1
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-11-11-1-111-1-11111-1-111-1-1-1-11
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-11111-1-111-1-1-1-11111-1
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-111-1
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-11-11-111-1-111-1-1-1-111-1-111-1-11
χ1722222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-2000000000000000022-2-2-2-200000000000000000000200
χ1822222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-20000000000000000-2-2222200000000000000000000-200
χ192222222-1222-12-12-1-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-1000022222-1-1-12-1-1-100000000220000-1-1-1-10000-1-1-1-1000
χ202222222-1222-12-12-1-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-10000-2-2-2-22-1-1-12-1-1-100000000-2-20000111100001111000
χ212222222-1222-12-12-1-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-100002222-2111-211100000000-2-2000011110000-1-1-1-1000
χ222222222-1222-12-12-1-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-10000-2-2-2-2-2111-211100000000220000-1-1-1-100001111000
χ23222222-1222-12-12-12-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-122220000-12-1-1-12-1-10000002200-1-1-1-10000-1-1-1-10000000
χ24222222-1222-12-12-12-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-1-2-2-2-20000-12-1-1-12-1-1000000-2-2001111000011110000000
χ25222222-1222-12-12-12-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-1222200001-2111-211000000-2-20011110000-1-1-1-10000000
χ26222222-1222-12-12-12-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-1-2-2-2-200001-2111-2110000002200-1-1-1-1000011110000000
χ272222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-222000000000000000022-2-22200000000000000000000-200
χ282222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-2220000000000000000-2-222-2-200000000000000000000200
χ292222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-12-211-21-1-111000022-2-22-1-1-1-2111000000002-20000-1-1110000-1-111000
χ302222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-12-211-21-1-1110000-2-2222-1-1-1-211100000000-22000011-1-1000011-1-1000
χ312222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-1-2211-21-1-111000022-2-2-21112-1-1-100000000-22000011-1-10000-1-111000
χ322222-2-22-1222-12-12-1-1-2-2-211-1-1-122-1-1-2211-21-1-1110000-2-222-21112-1-1-1000000002-20000-1-111000011-1-1000
χ332222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-1222-2111-2-1-11122-2-20000-12-1-11-2110000002-200-1-1110000-1-1110000000
χ342222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-1222-2111-2-1-111-2-2220000-12-1-11-211000000-220011-1-1000011-1-10000000
χ352222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-122-22111-2-1-11122-2-200001-211-12-1-1000000-220011-1-10000-1-1110000000
χ362222-2-2-1222-12-12-12-1-211-2-2-1-1-1-1-122-22111-2-1-111-2-22200001-211-12-1-10000002-200-1-111000011-1-10000000
χ372-2-222-22200-2-222-2-2202-22-2-22-20000002-2000000−i2i2−i2i2−i2i2−i2i200000000002-22-2000000000000−i2i2−i2i2−i2i2−i2i2000
χ382-2-222-22200-2-222-2-2202-22-2-22-20000002-2000000−i2i2−i2i2i2−i2i2−i20000000000-22-22000000000000−i2i2−i2i2i2−i2i2−i2000
χ392-2-222-22200-2-222-2-2202-22-2-22-20000002-2000000i2−i2i2−i2−i2i2−i2i20000000000-22-22000000000000i2−i2i2−i2−i2i2−i2i2000
χ402-2-222-22200-2-222-2-2202-22-2-22-20000002-2000000i2−i2i2−i2i2−i2i2−i200000000002-22-2000000000000i2−i2i2−i2i2−i2i2−i2000
χ412-2-22-222200-2-222-2-220-22-22-22-2000000-22000000−i2i2i2−i2−i2i2i2−i200000000002-2-22000000000000−i2i2i2−i2−i2i2i2−i2000
χ422-2-22-222200-2-222-2-220-22-22-22-2000000-22000000−i2i2i2−i2i2−i2−i2i20000000000-222-2000000000000−i2i2i2−i2i2−i2−i2i2000
χ432-2-22-222200-2-222-2-220-22-22-22-2000000-22000000i2−i2−i2i2−i2i2i2−i20000000000-222-2000000000000i2−i2−i2i2−i2i2i2−i2000
χ442-2-22-222200-2-222-2-220-22-22-22-2000000-22000000i2−i2−i2i2i2−i2−i2i200000000002-2-22000000000000i2−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
χ47444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-24411-2-2111100000000-2-211-2-21100000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-411-2-211110000000022-1-122-1-100000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-100000000003-3003-300000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-10000000000-3300-3300000000000000000000000000000
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
χ534444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12211-1-100000000-2-21122-1-100000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12211-1-10000000022-1-1-2-21100000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-11100000000003-300-3300000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-1110000000000-33003-300000000000000000000000000000
χ5744-4-400440044-4-4-4-44000004-4-40000000000000000000000000000004-4000000000000000000000000000
χ5844-4-400440044-4-4-4-44000004-4-4000000000000000000000000000000-44000000000000000000000000000
χ594-44-400444-4-4-4-4-444400000-4-444-44-40000004-400000000000000000000000000000000000000000000000
χ604-44-40044-44-4-4-4-444400000-4-44-44-44000000-4400000000000000000000000000000000000000000000000
χ614-44-4004-24-4-42-424-2-20000022-24-4-22000000-220000000000000000000000000000000000−2i32i300000000000
χ624-44-4004-24-4-42-424-2-20000022-24-4-22000000-2200000000000000000000000000000000002i3−2i300000000000
χ634-44-4004-2-44-42-424-2-20000022-2-442-20000002-200000000000000000000000000000000−2i32i30000000000000
χ644-44-4004-2-44-42-424-2-20000022-2-442-20000002-2000000000000000000000000000000002i3−2i30000000000000
χ654-44-400-244-42-42-4-24-20000022-2-224-4000000-220000000000000000000000000000−2i32i300000000000000000
χ664-44-400-244-42-42-4-24-20000022-2-224-4000000-2200000000000000000000000000002i3−2i300000000000000000
χ674-44-400-24-442-42-4-24-20000022-22-2-440000002-2000000000000000000000000000000−2i32i3000000000000000
χ684-44-400-24-442-42-4-24-20000022-22-2-440000002-20000000000000000000000000000002i3−2i3000000000000000
χ694-4-444-44-200-424-2-42-204-4-222-22000000-220000000000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i2000
χ704-4-444-44-200-424-2-42-204-4-222-22000000-2200000000002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i2000
χ714-4-444-4-24002-4-242-4-20-224-42-22000000-22000000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i20000000
χ724-4-444-4-24002-4-242-4-20-224-42-22000000-220000002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i20000000
χ734-4-44-444-200-424-2-42-20-442-22-220000002-20000000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2000
χ744-4-44-444-200-424-2-42-20-442-22-220000002-200000000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2000
χ754-4-44-44-24002-4-242-4-202-2-442-220000002-2000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i20000000
χ764-4-44-44-24002-4-242-4-202-2-442-220000002-20000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i20000000
χ7788-8-8008-4008-4-84-84-400000-44400000000000000000000000000000000000000000000000000000000000
χ7888-8-800-4800-484-84-8-400000-44400000000000000000000000000000000000000000000000000000000000
χ7988-8-800-4-400-4-444442000002-2-20000000000006i−6i000000000000000000000000000000000000000000000
χ8088-8-800-4-400-4-444442000002-2-2000000000000−6i6i000000000000000000000000000000000000000000000
χ818-88-800-4-48-84444-4-4200000-2-22-44-440000002-200000000000000000000000000000000000000000000000
χ828-88-800-4-4-884444-4-4200000-2-224-44-4000000-2200000000000000000000000000000000000000000000000
χ838-8-888-8-4-40044-4-44420-44-44-22-20000002-2000000000000000000000000000000000000000000000000000
χ848-8-88-88-4-40044-4-444204-44-4-22-2000000-22000000000000000000000000000000000000000000000000000

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