Finite Group Databasebeta

← Group #11885773

Character table — Group #11885773

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444446666888888881212121212121212121212121212121212121212121216161616161616161818242424243636363636363648484848
order12223344666666888836661212121224242424242424242222441212242424244466668888121212122424242424242424121212121212121244222222224886666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111-111-1-111-1-111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-11111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111
χ51111111111111111111111111111111111-1-11111111111-11-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111-1-111-1-1111111-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111-11-111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11-1-111-1111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-111-111-1-1-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-111-1-1-111-111-111-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-1-1111-1-1-1111-1-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-11-1111-1-11-1-1-11-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111111-11-1-1-1111-1-11-11-1
χ17222222-2-222222200002222-2-2-2-200000000222200-2-20000-2-222220000-2-2-2-200000000000000002200000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-200-2-20000-2222-2-20000-2-2220000000000000000-2-2000000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22200-2-200002-2-2-222000022-2-20000000000000000-2-2000000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-200-2-2000022-2-2-2-20000222200000000000000002200000000-2000000
χ2122222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-1002222-1-1-1-1-1-10200-1-1002200-1-10000-1-1-1-12-12-1-1-1-1-1000022000000000-1-1
χ2222222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-10022-2-2-1-1-1-1-1-10200-1-1002200-1-10000-1-1-1-1-21-2111110000-2-200000000011
χ2322222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-100-2-222-1-1-1-1-1-10-2001100-2-20011000011112-12-1-1-1-1-10000-2-200000000011
χ2422222-1222-122-1-12222-1-1-1-12-12-12222-1-1-1-100-2-2-2-2-1-1-1-1-1-10-2001100-2-2001100001111-21-211111000022000000000-1-1
χ2522222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100222-2-1-111110200-1-100-2-200-1-1000011112-1-21-1-11100002-2000000000-11
χ2622222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-211110022-22-1-111110200-1-100-2-200-1-100001111-212-111-1-10000-220000000001-1
χ2722222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-22-2-1-111110-20011002200110000-1-1-1-12-1-21-1-1110000-220000000001-1
χ2822222-1222-122-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-2-22-1-111110-20011002200110000-1-1-1-1-212-111-1-100002-2000000000-11
χ292222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-12222220022-1-1-1-1-1-120-1-1002200-1-100-1-1-1-10000-12-12-1-1-1-10022000000000-1-100
χ302222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-122222200-2-2-1-1-1-1-1-120-1-1002200-1-100-1-1-1-100001-21-2111100-2-20000000001100
χ312222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-12222-2-20022-1-1-1-1-1-1-201100-2-200110011110000-12-12-1-1-1-100-2-20000000001100
χ322222-1222-12-1-1222222-1-1-1-1-12-12-1-1-1-12222-2-200-2-2-1-1-1-1-1-1-201100-2-2001100111100001-21-211110022000000000-1-100
χ332222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002-2-1-1111120-1-100-2-200-1-10011110000-121-2-1-111002-2000000000-1100
χ342222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-22-1-1111120-1-100-2-200-1-100111100001-2-1211-1-100-220000000001-100
χ352222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2002-2-1-11111-20110022001100-1-1-1-10000-121-2-1-11100-220000000001-100
χ362222-1222-12-1-122-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-200-22-1-11111-20110022001100-1-1-1-100001-2-1211-1-1002-2000000000-1100
χ3722-2-2222-2-2-22-22-222-2-22-22-2-2-22222-2-222-2-2000000-2222-2-20000000000000000000000000000000000002-22-20000000
χ3822-2-2222-2-2-22-22-222-2-22-22-2-2-22222-2-222-2-2000000-2222-2-2000000000000000000000000000000000000-22-220000000
χ3922-2-2222-2-2-22-22-2-2-2222-22-2-2-222-2-222-2-222000000-22-2-2220000000000000000000000000000000000002-2-220000000
χ4022-2-2222-2-2-22-22-2-2-2222-22-2-2-222-2-222-2-222000000-22-2-222000000000000000000000000000000000000-222-20000000
χ412-2-222200-2-2-22-222−22−22-2-2200002−22−22−22−22-22-200002−22−2002-22-22−22−2000022−2−222−2−2000000002-20000000002−20000
χ422-2-222200-2-2-22-222−22−22-2-2200002−22−22−22−22-2-2200002−22−2002-2-222−2−22000022−2−2−2−22200000000-22000000000−220000
χ432-2-222200-2-2-22-222−22−22-2-2200002−22−22−22−2-222-200002−22−200-222-2−222−20000−2−22222−2−200000000-22000000000−220000
χ442-2-222200-2-2-22-222−22−22-2-2200002−22−22−22−2-22-2200002−22−200-22-22−22−220000−2−222−2−222000000002-20000000002−20000
χ452-2-222200-2-2-22-22−22−222-2-220000−22−22−22−222-22-20000−22−22002-22-2−22−220000−2−222−2−222000000002-2000000000−220000
χ462-2-222200-2-2-22-22−22−222-2-220000−22−22−22−222-2-220000−22−22002-2-22−222−20000−2−22222−2−200000000-220000000002−20000
χ472-2-222200-2-2-22-22−22−222-2-220000−22−22−22−22-222-20000−22−2200-222-22−2−22000022−2−2−2−22200000000-220000000002−20000
χ482-2-222200-2-2-22-22−22−222-2-220000−22−22−22−22-22-220000−22−2200-22-222−22−2000022−2−222−2−2000000002-2000000000−220000
χ4944444-2-4-44-244-2-20000-2-2-2-2-42-42000000000044002200000-400-2-200000022000000000000000000000000000000000
χ5044444-2-4-44-244-2-20000-2-2-2-2-42-420000000000-4-400220000040022000000-2-2000000000000000000000000000000000
χ514444-24-4-4-24-2-2440000-2-2-2-22-42-400000000440000220000-40-2-20000002200000000000000000000000000000000000
χ524444-24-4-4-24-2-2440000-2-2-2-22-42-400000000-4-400002200004022000000-2-200000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000441111110000000000000000000000-2-2-2-2111100000000000000000
χ544444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000-4-411111100000000000000000000002222-1-1-1-100000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200004-411-1-1-1-10000000000000000000000-2-22211-1-100000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000-4411-1-1-1-1000000000000000000000022-2-2-1-11100000000000000000
χ5744-4-444-44-4-44-44-400004-44-444-4-4000000000000004-4000000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-424-4-2244-4-4-22-22-424-244-4-4-2-2220000002-2-2-22200000000000000000000000000000000000000000000000
χ5944-4-44-24-4-424-4-22-4-444-22-22-424-2-4-44422-2-20000002-222-2-200000000000000000000000000000000000000000000000
χ6044-4-44-2-44-424-4-220000-22-224-2-4200000000000000-22000000000000000000000023−2323−230000000000000000000000000
χ6144-4-44-2-44-424-4-220000-22-224-2-4200000000000000-220000000000000000000000−2323−23230000000000000000000000000
χ6244-4-4-244-42-4-224-444-4-4-22-222-4-24-2-22244-4-40000002-2-2-22200000000000000000000000000000000000000000000000
χ6344-4-4-244-42-4-224-4-4-444-22-222-4-2422-2-2-4-4440000002-222-2-200000000000000000000000000000000000000000000000
χ6444-4-4-24-442-4-224-40000-22-22-242-400000000000000-2200000000000000000023−2323−2300000000000000000000000000000
χ6544-4-4-24-442-4-224-40000-22-22-242-400000000000000-22000000000000000000−2323−232300000000000000000000000000000
χ6644-4-4-2-24-422-22-2244-4-41-11-122-2-2-2-222-2-222000000-1111-1-1000000000000000000000000003i−3i3i−3i00000000000000000
χ6744-4-4-2-24-422-22-2244-4-41-11-122-2-2-2-222-2-222000000-1111-1-100000000000000000000000000−3i3i−3i3i00000000000000000
χ6844-4-4-2-24-422-22-22-4-4441-11-122-2-222-2-222-2-2000000-11-1-111000000000000000000000000003i−3i−3i3i00000000000000000
χ6944-4-4-2-24-422-22-22-4-4441-11-122-2-222-2-222-2-2000000-11-1-11100000000000000000000000000−3i3i3i−3i00000000000000000
χ704-44-4440044-4-4-4-422−22−222244-4-4000022−22−222222−22−22220000000022−22−222200000000000000000000000000000000000000000000000
χ714-44-4440044-4-4-4-4−222222−2244-4-40000−222222−22−222222−2200000000−222222−2200000000000000000000000000000000000000000000000
χ724-44-44-2004-2-4-42222−22−2222-2-222000022−22−2222−222−200000000−222−200000000000023−2300006−6−660000000000000000000000000
χ734-44-44-2004-2-4-42222−22−2222-2-222000022−22−2222−222−200000000−222−2000000000000−23230000−666−60000000000000000000000000
χ744-44-44-2004-2-4-422−222222−22-2-2220000−222222−222−2−22000000002−2−2200000000000023−230000−666−60000000000000000000000000
χ754-44-44-2004-2-4-422−222222−22-2-2220000−222222−222−2−22000000002−2−22000000000000−232300006−6−660000000000000000000000000
χ764-44-4-2400-2422-4-422−22−2222-2-2220000−222−222−22−222200000000−222−2000000000023−23006−6−6600000000000000000000000000000
χ774-44-4-2400-2422-4-422−22−2222-2-2220000−222−222−22−222200000000−222−20000000000−232300−666−600000000000000000000000000000
χ784-44-4-2400-2422-4-4−222222−22-2-22200002−2−22−222222−22000000002−2−22000000000023−2300−666−600000000000000000000000000000
χ794-44-4-2400-2422-4-4−222222−22-2-22200002−2−22−222222−22000000002−2−220000000000−2323006−6−6600000000000000000000000000000
χ804-4-444-200-42-442-222−2222−22-222-2000022−2222−22−22−22004-40000−22−220000-220022−2200000000−2−2220000000000000000000000000
χ814-4-444-200-42-442-222−2222−22-222-2000022−2222−22−22−2200-440000−22−2200002-200−22220000000022−2−20000000000000000000000000
χ824-4-444-200-42-442-2−2222−2222-222-20000−2222−22222−22−2004-400002−22−20000-2200−22220000000022−2−20000000000000000000000000
χ834-4-444-200-42-442-2−2222−2222-222-20000−2222−22222−22−200-4400002−22−200002-20022−2200000000−2−2220000000000000000000000000
χ844-4-44-24002-42-2-4422−2222−22-222-20000−22−2222−2222−224-4000000−22−2200-220022−22000000−2−22200000000000000000000000000000
χ854-4-44-24002-42-2-4422−2222−22-222-20000−22−2222−2222−22-44000000−22−22002-200−222200000022−2−200000000000000000000000000000
χ864-4-44-24002-42-2-44−2222−2222-222-200002−22−2−2222−22224-40000002−22−200-2200−222200000022−2−200000000000000000000000000000
χ874-4-44-24002-42-2-44−2222−2222-222-200002−22−2−2222−2222-440000002−22−2002-20022−22000000−2−22200000000000000000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000-2-2000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4-8844-44-4400002-22-2-4-444000000000000002-2000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4-4444442−42−424222-2-20000−222222−22−222222−22000000002−2−2200000000000000000000000000000000000000000000000
χ918-88-8-4-400-4-44444−424242−4222-2-2000022−22−222222−22−222200000000−222−200000000000000000000000000000000000000000000000
χ928-8-88-4-400444-44-442−4242−422-2-220000−2222−2222−2222−2222000000002−22−200000000000000000000000000000000000000000000000
χ938-8-88-4-400444-44-4−4242−42422-2-22000022−2222−2222−2222−2200000000−22−2200000000000000000000000000000000000000000000000

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