Finite Group Databasebeta

← Group #11865853

Character table — Group #11865853

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order1222334444666666346661212121212121212221212121212121212222244446666666622444466668888121212122424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1
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
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-111
χ711111111111111111111111111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111-1-1
χ9111111-1-1111111111-111111-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111111-11-1-1-1-1-111-1-111-1-1-11-1
χ10111111-1-1111111111-111111-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11-1-11-1-11111-1-1-1-1111-11
χ11111111-1-1111111111-111111-1-1-1-1111-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-111-111-1-1-1-11111-1-11-11
χ12111111-1-1111111111-111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-11-111111-1-111-1-111-11-1
χ13111111-1-1111111111-111111-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-11-11-1-1-1-1-1-111-1-111-1-11
χ14111111-1-1111111111-111111-1-1-1-111-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-111-1-1-111-1-11111-1-111-1
χ15111111-1-1111111111-111111-1-1-1-111-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111-1-1111-1-111-1-1-1-11111-1
χ16111111-1-1111111111-111111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-11-11-1111111-1-111-1-1-1-11
χ1722222222-2-22222222-2222-2-22222-2-200-2-2-2-222-2-200000000000000002222-2-200000000000000000000-200
χ1822222222-2-22222222-2222-2-22222-2-200-2-2-2-222-2-20000000000000000-2-2-2-22200000000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-222000000000000000022-2-2-2-200000000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-2220000000000000000-2-2222200000000000000000000-200
χ2122222-1222222-1-12-1-12-1-1-12-122-1-12-1222-1-1-1-1-1-1-1002200222-12-1-1-1-1-100000000-1-1002200-1-10000-1-1-1-1000
χ2222222-1222222-1-12-1-12-1-1-12-122-1-12-1222-1-1-1-1-1-1-100-2-200-2-22-12-1-1-1-1-1000000001100-2-2001100001111000
χ2322222-1222222-1-12-1-12-1-1-12-122-1-12-1-2-22-1-1-1-1-1-1-100220022-21-21111100000000-1-100-2-200-1-100001111000
χ2422222-1222222-1-12-1-12-1-1-12-122-1-12-1-2-22-1-1-1-1-1-1-100-2-200-2-2-21-2111110000000011002200110000-1-1-1-1000
χ2522222-1-2-22222-1-12-1-1-2-1-1-12-1-2-2112-12-2-21-1-11111002200-2-22-1-21-1-11100000000-1-1002-200110000-1-111000
χ2622222-1-2-22222-1-12-1-1-2-1-1-12-1-2-2112-12-2-21-1-1111100-2-200222-1-21-1-111000000001100-2200-1-1000011-1-1000
χ2722222-1-2-22222-1-12-1-1-2-1-1-12-1-2-2112-1-22-21-1-11111002200-2-2-212-111-1-100000000-1-100-220011000011-1-1000
χ2822222-1-2-22222-1-12-1-1-2-1-1-12-1-2-2112-1-22-21-1-1111100-2-20022-212-111-1-10000000011002-200-1-10000-1-111000
χ292222-122222-1-122-12-12-1-1-1-12-1-122-1222-12-1-1-1-1-1-122002200-12-12-1-1-1-1000000-1-1002200-1-100-1-1-1-10000000
χ302222-122222-1-122-12-12-1-1-1-12-1-122-1222-12-1-1-1-1-1-1-2-200-2-200-12-12-1-1-1-10000001100-2-200110011110000000
χ312222-122222-1-122-12-12-1-1-1-12-1-122-12-2-2-12-1-1-1-1-1-1220022001-21-21111000000-1-100-2-200-1-10011110000000
χ322222-122222-1-122-12-12-1-1-1-12-1-122-12-2-2-12-1-1-1-1-1-1-2-200-2-2001-21-21111000000110022001100-1-1-1-10000000
χ332222-12-2-222-1-122-12-1-2-1-1-1-1211-2-2-122-21-2-1-111112200-2-200-121-2-1-111000000-1-1002-2001100-1-1110000000
χ342222-12-2-222-1-122-12-1-2-1-1-1-1211-2-2-122-21-2-1-11111-2-2002200-121-2-1-1110000001100-2200-1-10011-1-10000000
χ352222-12-2-222-1-122-12-1-2-1-1-1-1211-2-2-12-221-2-1-111112200-2-2001-2-1211-1-1000000-1-100-2200110011-1-10000000
χ362222-12-2-222-1-122-12-1-2-1-1-1-1211-2-2-12-221-2-1-11111-2-20022001-2-1211-1-100000011002-200-1-100-1-1110000000
χ372-2-2222002-22-22-2-2-2202-2-2220000-2-200002-2000000002i−2i2i−2i000000002-2002-2000000002i−2i2i−2i00000000000
χ382-2-2222002-22-22-2-2-2202-2-2220000-2-200002-2000000002i−2i−2i2i00000000-2200-22000000002i−2i−2i2i00000000000
χ392-2-2222002-22-22-2-2-2202-2-2220000-2-200002-200000000−2i2i2i−2i00000000-2200-2200000000−2i2i2i−2i00000000000
χ402-2-2222002-22-22-2-2-2202-2-2220000-2-200002-200000000−2i2i−2i2i000000002-2002-200000000−2i2i−2i2i00000000000
χ412-2-222200-222-22-2-2-2202-2-2-2-20000220000-2200002-22-20000000000002-200-222-22-20000000000000000000
χ422-2-222200-222-22-2-2-2202-2-2-2-20000220000-2200002-2-22000000000000-22002-22-2-220000000000000000000
χ432-2-222200-222-22-2-2-2202-2-2-2-20000220000-220000-222-2000000000000-22002-2-222-20000000000000000000
χ442-2-222200-222-22-2-2-2202-2-2-2-20000220000-220000-22-220000000000002-200-22-22-220000000000000000000
χ4544444-244-4-444-2-24-2-2-4-2-2-2-4244-2-2-4200-4222-2-222000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-444-2-24-2-24-2-2-2-42-4-422-42004-22222-2-2000000000000000000000000000000000000000000000
χ474444-2444-4-4-2-244-24-2-4-2-2-22-4-2-2442-4002-422-2-222000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-24-24-2-2-22-422-4-42-400-242222-2-2000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000-2-2-2-2111100000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000002222-1-1-1-100000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-2220022-1-111-1-10000000000003-33-300000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-2220022-1-111-1-1000000000000-33-3300000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-2-24-42211-1-1-1-100000000-2-22211-1-100000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-2-2-442211-1-1-1-10000000022-2-2-1-11100000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-1110000000000003-3-3300000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-111000000000000-333-300000000000000000000000000000
χ5744-4-4440000-44-44-4-440-44-40000000000000000000000000000000000004i−4i0000000000000000000000000
χ5844-4-4440000-44-44-4-440-44-4000000000000000000000000000000000000−4i4i0000000000000000000000000
χ594-44-4444-400-4-4-4-44440-4-44004-44-4000000004-400000000000000000000000000000000000000000000000
χ604-44-444-4400-4-4-4-44440-4-4400-44-4400000000-4400000000000000000000000000000000000000000000000
χ614-44-44-24-400-4-4224-2-2022-2004-4-2200000000-220000000000000000000000000000000000000000i6−i6i6−i6000
χ624-44-44-24-400-4-4224-2-2022-2004-4-2200000000-220000000000000000000000000000000000000000−i6i6−i6i6000
χ634-44-44-2-4400-4-4224-2-2022-200-442-2000000002-20000000000000000000000000000000000000000i6−i6−i6i6000
χ644-44-44-2-4400-4-4224-2-2022-200-442-2000000002-20000000000000000000000000000000000000000−i6i6i6−i6000
χ654-44-4-244-40022-4-4-24-2022-200-224-400000000-22000000000000000000000000000000000000i6−i6i6−i60000000
χ664-44-4-244-40022-4-4-24-2022-200-224-400000000-22000000000000000000000000000000000000−i6i6−i6i60000000
χ674-44-4-24-440022-4-4-24-2022-2002-2-44000000002-2000000000000000000000000000000000000i6−i6−i6i60000000
χ684-44-4-24-440022-4-4-24-2022-2002-2-44000000002-2000000000000000000000000000000000000−i6i6i6−i60000000
χ694-4-444-2004-44-4-22-42-20-2224-20000-420000-2200000000004i−4i000000000000000000000000−2i2i00000000000
χ704-4-444-2004-44-4-22-42-20-2224-20000-420000-220000000000−4i4i0000000000000000000000002i−2i00000000000
χ714-4-444-200-444-4-22-42-20-222-4200004-200002-20000004-400000000000000000000-220000000000000000000
χ724-4-444-200-444-4-22-42-20-222-4200004-200002-2000000-44000000000000000000002-20000000000000000000
χ734-4-44-24004-4-224-42-4-20-222-2400002-40000-22000000004i−4i000000000000000000000000−2i2i0000000000000
χ744-4-44-24004-4-224-42-4-20-222-2400002-40000-2200000000−4i4i0000000000000000000000002i−2i0000000000000
χ754-4-44-2400-44-224-42-4-20-2222-40000-2400002-200004-400000000000000000000-22000000000000000000000
χ764-4-44-2400-44-224-42-4-20-2222-40000-2400002-20000-44000000000000000000002-2000000000000000000000
χ7788-8-88-40000-884-4-84-404-44000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800004-4-884-8-404-44000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400004-44-44420-22-200000000000000006-6000000000000000000000000000000000000000000000
χ8088-8-8-4-400004-44-44420-22-20000000000000000-66000000000000000000000000000000000000000000000
χ818-88-8-4-48-8004444-4-420-2-2200-44-44000000002-200000000000000000000000000000000000000000000000
χ828-88-8-4-4-88004444-4-420-2-22004-44-400000000-2200000000000000000000000000000000000000000000000
χ838-8-88-4-4008-8-44-4444202-2-2-4-400004400002-20000000000000000000000000000000000000000000000000
χ848-8-88-4-400-88-44-4444202-2-2440000-4-40000-220000000000000000000000000000000000000000000000000

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