Finite Group Databasebeta

← Group #11887518

Character table — Group #11887518

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order122222334466666634666666612121212121288882466121212121244888888242424242424242466661212121222444441212121224242424444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-1111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1
χ51111111111111111111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111
χ91111-1-111111111111-1-1-1-1-11111-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-11-1111-1-1
χ101111-1-111111111111-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11-11-1-111-1-111-11-1-11-11
χ111111-1-111111111111-1-1-1-1-11111-1-11111111-11-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-111-1-1-1-111-1111-11-1
χ121111-1-111111111111-1-1-1-1-11111-1-11111111-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1-11111-1-11-1-1-1-111
χ131111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-111-1-111-1-1-11-1-1-111
χ141111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-111-1-111-1-1111-111-11-1
χ151111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-1-11-11
χ161111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-1-11111-1-1-11111-1-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-200000022-2-2-2-2-2000000000000000000000000222200000000000-2-200000
χ1822222222-2-22222222-22222222-2-2-2-2-2-200000022-2-2-2-2-2000000000000000000000000-2-2-2-2000000000002200000
χ192222222-12222-1-1-12-1222-1-1-1-1-1-1-1-122-1222222-1-12-1-1-1-100002200-1-1-1-1-1-1-1-12-1-1-12-1-1-10000220000000000000-1-10
χ202222222-12222-1-1-12-1222-1-1-1-1-1-1-1-122-12222-2-2-1-12-1-1-1-100002200-1-1-1-1-1-1-1-1-2111-21110000-2-20000000000000110
χ212222222-12222-1-1-12-1222-1-1-1-1-1-1-1-122-1-2-2-2-222-1-12-1-1-1-10000-2-200111111112-1-1-12-1-1-10000-2-20000000000000110
χ222222222-12222-1-1-12-1222-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-1-12-1-1-1-10000-2-20011111111-2111-21110000220000000000000-1-10
χ23222222-1222-1-1222-1-12-1-122-1-1-1222-1-12000022-1-1-1-1-1-1-12222002200000000-12-1-1-12-1-10000002-1-1-1-1-1-1-1-10000000
χ24222222-1222-1-1222-1-12-1-122-1-1-1222-1-12000022-1-1-1-1-1-1-1-2-2-2-200-2-200000000-12-1-1-12-1-1000000-2111111110000000
χ25222222-1222-1-1222-1-12-1-122-1-1-1222-1-120000-2-2-1-1-1-1-1-1-122-2-200-2-2000000001-2111-2110000002-1-1-1-111110000000
χ26222222-1222-1-1222-1-12-1-122-1-1-1222-1-120000-2-2-1-1-1-1-1-1-1-2-2220022000000001-2111-211000000-21111-1-1-1-10000000
χ272222-2-222-2-222222222-2-2-2-2222-222-2-2-2000000-2-22-2-22200000000000000000000000022-2-2000000000002-200000
χ282222-2-222-2-222222222-2-2-2-2222-222-2-2-2000000-2-22-2-222000000000000000000000000-2-22200000000000-2200000
χ292222-2-22-12222-1-1-12-1-2-2-211-1-1-1-11122-122222-211-2-1-1110000-2-200-1-1-1-111112-1-1-1-211100002-20000000000000-110
χ302222-2-22-12222-1-1-12-1-2-2-211-1-1-1-11122-12222-2211-2-1-1110000-2-200-1-1-1-11111-21112-1-1-10000-2200000000000001-10
χ312222-2-22-12222-1-1-12-1-2-2-211-1-1-1-11122-1-2-2-2-22-211-2-1-111000022001111-1-1-1-12-1-1-1-21110000-2200000000000001-10
χ322222-2-22-12222-1-1-12-1-2-2-211-1-1-1-11122-1-2-2-2-2-2211-2-1-111000022001111-1-1-1-1-21112-1-1-100002-20000000000000-110
χ332222-2-2-1222-1-1222-1-1-211-2-2-1-1-12-2-2-1-1200002-2111-1-111222200-2-200000000-12-1-11-211000000-2-1-111-1-1110000000
χ342222-2-2-1222-1-1222-1-1-211-2-2-1-1-12-2-2-1-1200002-2111-1-111-2-2-2-2002200000000-12-1-11-211000000211-1-111-1-10000000
χ352222-2-2-1222-1-1222-1-1-211-2-2-1-1-12-2-2-1-120000-22111-1-11122-2-20022000000001-211-12-1-1000000-2-1-11111-1-10000000
χ362222-2-2-1222-1-1222-1-1-211-2-2-1-1-12-2-2-1-120000-22111-1-111-2-22200-2-2000000001-211-12-1-1000000211-1-1-1-1110000000
χ372-22-200222-2-2-2-2-222200000-22-22002-2-22i2i−2i−2i000002-2002-20000002i2i−2i−2i00000000000000000002-2000000002i−2i000
χ382-22-200222-2-2-2-2-222200000-22-22002-2-22i2i−2i−2i000002-200-220000002i2i−2i−2i0000000000000000000-2200000000−2i2i000
χ392-22-200222-2-2-2-2-222200000-22-22002-2-2−2i−2i2i2i000002-2002-2000000−2i−2i2i2i00000000000000000002-200000000−2i2i000
χ402-22-200222-2-2-2-2-222200000-22-22002-2-2−2i−2i2i2i000002-200-22000000−2i−2i2i2i0000000000000000000-22000000002i−2i000
χ412-2-222-22200-222-2-2-2202-22-2-2-22000000−i2i2−i2i2002-20000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2000000002-22-20000000−i2i2−i2i20000000
χ422-2-222-22200-222-2-2-2202-22-2-2-22000000−i2i2−i2i2002-20000000i2−i2−i2i2i2−i2−i2i2−i2i2−i2−i2i2i200000000-22-220000000i2−i2i2−i20000000
χ432-2-222-22200-222-2-2-2202-22-2-2-22000000i2−i2i2−i2002-20000000−i2i2i2−i2−i2i2i2−i2i2−i2i2i2−i2−i200000000-22-220000000−i2i2−i2i20000000
χ442-2-222-22200-222-2-2-2202-22-2-2-22000000i2−i2i2−i2002-20000000i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2000000002-22-20000000i2−i2i2−i20000000
χ452-2-22-222200-222-2-2-220-22-22-2-22000000−i2i2−i2i200-220000000−i2i2i2−i2i2−i2−i2i2−i2i2i2i2−i2−i200000000-222-20000000−i2i2i2−i20000000
χ462-2-22-222200-222-2-2-220-22-22-2-22000000−i2i2−i2i200-220000000i2−i2i2−i2−i2i2−i2i2−i2i2i2i2−i2−i2000000002-2-220000000i2−i2−i2i20000000
χ472-2-22-222200-222-2-2-220-22-22-2-22000000i2−i2i2−i200-220000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2−i2i2i2000000002-2-220000000−i2i2i2−i20000000
χ482-2-22-222200-222-2-2-220-22-22-2-22000000i2−i2i2−i200-220000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2−i2i2i200000000-222-20000000i2−i2−i2i20000000
χ494444444-2-4-444-2-2-24-2-444-2-2-2-2-2222-4-42000000-2-2-422220000000000000000000000000000000000000000000000
χ50444444-24-4-4-2-2444-2-2-4-2-244-2-2-2-4-4-422-4000000-2-2222220000000000000000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-200004411-211110000000000000000-2-211-2-2110000000000000000000000
χ52444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000-4-411-21111000000000000000022-1-122-1-10000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000112-1-1-1-10000000000000000003-3003-30000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000112-1-1-1-1000000000000000000-3300-330000000000000000000000
χ554444-4-44-2-4-444-2-2-24-24-4-422-2-2-22-2-2-4-4200000022422-2-20000000000000000000000000000000000000000000000
χ564444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-2-44422-400000022-222-2-20000000000000000000000000000000000000000000000
χ574444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-200004-4-1-1211-1-10000000000000000-2-21122-1-10000000000000000000000
χ584444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-20000-44-1-1211-1-1000000000000000022-1-1-2-2110000000000000000000000
χ594444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-2222000000-1-1-2-1-1110000000000000000003-300-330000000000000000000000
χ604444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-2222000000-1-1-2-1-111000000000000000000-33003-30000000000000000000000
χ6144-4-40044004-4-44-4-44000004-4-400000022−22−22220000000000000000022−22−22220000000000000000000000000000000000
χ6244-4-40044004-4-44-4-44000004-4-4000000−222222−2200000000000000000−222222−220000000000000000000000000000000000
χ6344-4-4004-2004-42-22-4-200000-222023−2300022−22−2222000000023−2300000000−222−26−66−6000000000000000000000000000000
χ6444-4-4004-2004-42-22-4-200000-222023−23000−222222−22000000023−23000000002−2−22−66−66000000000000000000000000000000
χ6544-4-4004-2004-42-22-4-200000-2220−232300022−22−22220000000−232300000000−222−2−66−66000000000000000000000000000000
χ6644-4-4004-2004-42-22-4-200000-2220−2323000−222222−220000000−2323000000002−2−226−66−6000000000000000000000000000000
χ674-44-40044-44-4-4-4-444400000-44-4-400-444000000000-44000000000000000000000000000000000000000000000000
χ684-44-4004-24-4-4-422-24-2000002-22-2004-424i4i−4i−4i00000-220000000000−2i−2i2i2i0000000000000000000000000000000000
χ694-44-4004-24-4-4-422-24-2000002-22-2004-42−4i−4i4i4i00000-2200000000002i2i−2i−2i0000000000000000000000000000000000
χ704-44-4004-2-44-4-422-24-2000002-22200-44-20000000002-200000000000000−2i32i32i3−2i3000000000000000000000000000000
χ714-44-4004-2-44-4-422-24-2000002-22200-44-20000000002-2000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ724-44-400-244-422-4-44-2-2000002-22400-22-4000000000-22004-400000000000000000000000000000-220000000000000
χ734-44-400-244-422-4-44-2-2000002-22400-22-4000000000-2200-44000000000000000000000000000002-20000000000000
χ744-44-400-24-4422-4-44-2-2000002-22-4002-240000000002-200000000000000000000000000000000000−2i32i300000000000
χ754-44-400-24-4422-4-44-2-2000002-22-4002-240000000002-2000000000000000000000000000000000002i3−2i300000000000
χ764-4-444-44-200-44-222-4-204-4-2222-2000000−2i22i2−2i22i200-22000000000−2i22i200i2−i2i2−i2i2i2−i2−i2000000000000000000000000000000
χ774-4-444-44-200-44-222-4-204-4-2222-20000002i2−2i22i2−2i200-220000000002i2−2i200−i2i2−i2i2−i2−i2i2i2000000000000000000000000000000
χ784-4-444-4-24002-24-4-42-20-224-422-2000000000000-220000000−2i22i200−2i22i2000000000000000000000000000i2−i2i2−i20000000
χ794-4-444-4-24002-24-4-42-20-224-422-2000000000000-2200000002i2−2i2002i2−2i2000000000000000000000000000−i2i2−i2i20000000
χ804-4-44-444-200-44-222-4-20-442-222-2000000−2i22i2−2i22i2002-20000000002i2−2i200i2−i2i2−i2−i2−i2i2i2000000000000000000000000000000
χ814-4-44-444-200-44-222-4-20-442-222-20000002i2−2i22i2−2i2002-2000000000−2i22i200−i2i2−i2i2i2i2−i2−i2000000000000000000000000000000
χ824-4-44-44-24002-24-4-42-202-2-4422-20000000000002-20000000−2i22i2002i2−2i2000000000000000000000000000i2−i2−i2i20000000
χ834-4-44-44-24002-24-4-42-202-2-4422-20000000000002-200000002i2−2i200−2i22i2000000000000000000000000000−i2i2i2−i20000000
χ8488-8-800-4800-44-88-84-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-400-444-4442000002-2-2043−4300000000000000−23230000000000000000000000000000000000000000000000
χ8688-8-800-4-400-444-4442000002-2-20−43430000000000000023−230000000000000000000000000000000000000000000000
χ878-88-800-4-48-84444-4-4200000-22-2-400-4440000000002-2000000000000000000000000000000000000000000000000
χ888-88-800-4-4-884444-4-4200000-22-24004-4-4000000000-22000000000000000000000000000000000000000000000000
χ898-8-888-8-4-4004-4-444420-44-44-2-220000000000002-2000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-4004-4-4444204-44-4-2-22000000000000-22000000000000000000000000000000000000000000000000000

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