Finite Group Databasebeta

← Group #11885771

Character table — Group #11885771

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424242222666622666612122424242422224466888812121212242424242424242466666644446666488121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1111-1-111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111-111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-1-1111-1-1-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-11-1-1-111-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-111-111111-1-1-1-1111111-1-1-1-11-111-1-1-1-11-1-1-111-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1111-1-1-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-111-1-111-11-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-11-1-111111-111-1-11-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-200000000-2-2220000-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-200000000-22-2-20000-2-22200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-2000000002-222000022-2-200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000000022-2-2000022220000000000000022000000-2000000
χ2122222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-12200-1-1-1-122-1-1-1-1-1-1-1-1-1-1222220002200-1-100-1-1-1-1000022-1-1-1-10000-1-1-1-10000000
χ2222222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-12200-1-1-1-1-2-21111-1-1-1-1-1-1-2-2-2-220002200-1-100-1-1-1-10000-2-21111000011110000000
χ2322222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-1-2-200111122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2000-2-20011001111000022-1-1-1-1000011110000000
χ2422222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-1-2-2001111-2-21111-1-1-1-1-1-12222-2000-2-200110011110000-2-211110000-1-1-1-10000000
χ2522222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-211112200-1-1-1-12-2-1-111-1-1111122-2-22000-2-200-1-100111100002-2-1-1110000-1-1110000000
χ2622222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-211112200-1-1-1-1-2211-1-1-1-11111-2-2222000-2-200-1-10011110000-2211-1-1000011-1-10000000
χ2722222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-21111-2-20011112-2-1-111-1-11111-2-222-200022001100-1-1-1-100002-2-1-111000011-1-10000000
χ2822222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-21111-2-2001111-2211-1-1-1-1111122-2-2-200022001100-1-1-1-10000-2211-1-10000-1-1110000000
χ292222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-1222200220000222222-1-1-1-1-1-1000002-1-1002200-1-10000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ302222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-1222200220000-2-2-2-2-2-2-1-1-1-1-1-1000002-1-1002200-1-10000-1-1-1-111111100-2-200000001100
χ312222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-1222200-2-20000222222-1-1-1-1-1-100000-21100-2-2001100001111-1-1-1-1-1-100-2-200000001100
χ322222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-1222200-2-20000-2-2-2-2-2-2-1-1-1-1-1-100000-21100-2-200110000111111111100220000000-1-100
χ332222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-2002200002-222-2-2-1-11111000002-1-100-2-200-1-100001111-11-1-111002-20000000-1100
χ342222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-200220000-22-2-222-1-11111000002-1-100-2-200-1-1000011111-111-1-100-2200000001-100
χ352222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-200-2-200002-222-2-2-1-1111100000-211002200110000-1-1-1-1-11-1-11100-2200000001-100
χ362222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-200-2-20000-22-2-222-1-1111100000-211002200110000-1-1-1-11-111-1-1002-20000000-1100
χ3722-2-2222-2-2-2-222-222-2-22-2-22-2-22222-2-222-2-200000000000000-2222-2-22-22-20000000000000000000000000000002-22-20000000
χ3822-2-2222-2-2-2-222-222-2-22-2-22-2-22222-2-222-2-200000000000000-2222-2-2-22-22000000000000000000000000000000-22-220000000
χ3922-2-2222-2-2-2-222-2-2-2222-2-22-2-222-2-222-2-22200000000000000-22-2-2222-2-220000000000000000000000000000002-2-220000000
χ4022-2-2222-2-2-2-222-2-2-2222-2-22-2-222-2-222-2-22200000000000000-22-2-222-222-2000000000000000000000000000000-222-20000000
χ4122-2-22-12-2-2112-1-222-2-2-111-1-212-122-2-2-1-1110000−i3−i3i3i300−i3i3−i3i31-1-1-1112-22-200000000−i3i300−i3−i3i3i3000000−i3i3−i3i30000-11-110000000
χ4222-2-22-12-2-2112-1-222-2-2-111-1-212-122-2-2-1-1110000−i3−i3i3i300i3−i3i3−i31-1-1-111-22-2200000000−i3i300−i3−i3i3i3000000i3−i3i3−i300001-11-10000000
χ4322-2-22-12-2-2112-1-222-2-2-111-1-212-122-2-2-1-1110000i3i3−i3−i300−i3i3−i3i31-1-1-111-22-2200000000i3−i300i3i3−i3−i3000000−i3i3−i3i300001-11-10000000
χ4422-2-22-12-2-2112-1-222-2-2-111-1-212-122-2-2-1-1110000i3i3−i3−i300i3−i3i3−i31-1-1-1112-22-200000000i3−i300i3i3−i3−i3000000i3−i3i3−i30000-11-110000000
χ4522-2-22-12-2-2112-1-2-2-222-111-1-212-1-2-22211-1-10000−i3−i3i3i300−i3i3i3−i31-111-1-12-2-2200000000−i3i300i3i3−i3−i3000000−i3i3i3−i30000-111-10000000
χ4622-2-22-12-2-2112-1-2-2-222-111-1-212-1-2-22211-1-10000−i3−i3i3i300i3−i3−i3i31-111-1-1-222-200000000−i3i300i3i3−i3−i3000000i3−i3−i3i300001-1-110000000
χ4722-2-22-12-2-2112-1-2-2-222-111-1-212-1-2-22211-1-10000i3i3−i3−i300−i3i3i3−i31-111-1-1-222-200000000i3−i300−i3−i3i3i3000000−i3i3i3−i300001-1-110000000
χ4822-2-22-12-2-2112-1-2-2-222-111-1-212-1-2-22211-1-10000i3i3−i3−i300i3−i3−i3i31-111-1-12-2-2200000000i3−i300−i3−i3i3i3000000i3−i3−i3i30000-111-10000000
χ492-2-222200-22-2-2-222−22−222-2-200002−22−22−22−22-22-22-22-2000000002−22−20000002-22−22−200002−22−222−2−20000002-200000002−20000
χ502-2-222200-22-2-2-222−22−222-2-200002−22−22−22−22-2-222-22-2000000002−22−2000000-222−2−2200002−22−2−2−222000000-220000000−220000
χ512-2-222200-22-2-2-222−22−222-2-200002−22−22−22−2-222-2-22-22000000002−22−20000002-2−222−20000−22−2222−2−2000000-220000000−220000
χ522-2-222200-22-2-2-222−22−222-2-200002−22−22−22−2-22-22-22-22000000002−22−2000000-22−22−220000−22−22−2−2220000002-200000002−20000
χ532-2-222200-22-2-2-22−22−2222-2-20000−22−22−22−222-22-22-22-200000000−22−220000002-2−22−220000−22−22−2−2220000002-20000000−220000
χ542-2-222200-22-2-2-22−22−2222-2-20000−22−22−22−222-2-222-22-200000000−22−22000000-22−222−20000−22−2222−2−2000000-2200000002−20000
χ552-2-222200-22-2-2-22−22−2222-2-20000−22−22−22−22-222-2-22-2200000000−22−220000002-22−2−2200002−22−2−2−222000000-2200000002−20000
χ562-2-222200-22-2-2-22−22−2222-2-20000−22−22−22−22-22-22-22-2200000000−22−22000000-222−22−200002−22−222−2−20000002-20000000−220000
χ5744444-2-4-44-2-24-240000-2-2-2-2-42-42000000004400-2-2-2-20000002200000000-40000000220000000000000000000000000000000
χ5844444-2-4-44-2-24-240000-2-2-2-2-42-4200000000-4-4002222000000220000000040000000-2-20000000000000000000000000000000
χ594444-24-4-4-244-24-20000-2-2-2-22-42-4000000000044000000000022000000000-4-2-20000002200000000000000000000000000000
χ604444-24-4-4-244-24-20000-2-2-2-22-42-40000000000-4-4000000000022000000000422000000-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2111111000000000000000000000000-2-21111000000000000000
χ624444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4222211111100000000000000000000000022-1-1-1-1000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-4-2-22211-1-1-1-1000000000000000000000000-2211-1-1000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-10000000000000000000000002-2-1-111000000000000000
χ6544-4-444-44-4-4-444-400004-4-4444-4-400000000000000000000004-40000000000000000000000000000000000000000000000000
χ6644-4-44-2-44-4224-2-40000-222-24-2-42000000000000−2i3−2i32i32i3000000-2200000000000000002i3−2i30000000000000000000000000000000
χ6744-4-44-2-44-4224-2-40000-222-24-2-420000000000002i32i3−2i3−2i3000000-220000000000000000−2i32i30000000000000000000000000000000
χ6844-4-4-244-42-4-4-24244-4-4-222-22-4-24-2-22244-4-4000000000000002-2-2-222000000000000000000000000000000000000000000000
χ6944-4-4-244-42-4-4-242-4-444-222-22-4-2422-2-2-4-444000000000000002-222-2-2000000000000000000000000000000000000000000000
χ7044-4-4-24-442-4-4-2420000-222-2-242-40000000000000000000000-2200000000000000000000000023−2323−23000000000000000000000
χ7144-4-4-24-442-4-4-2420000-222-2-242-40000000000000000000000-22000000000000000000000000−2323−2323000000000000000000000
χ7244-4-4-2-24-4222-2-2244-4-41-1-1122-2-2-2-222-2-2220000000000−2i32i3−2i32i3-1111-1-100000000000000000000000000i3−i3i3−i3000000000000000
χ7344-4-4-2-24-4222-2-2244-4-41-1-1122-2-2-2-222-2-22200000000002i3−2i32i3−2i3-1111-1-100000000000000000000000000−i3i3−i3i3000000000000000
χ7444-4-4-2-24-4222-2-22-4-4441-1-1122-2-222-2-222-2-20000000000−2i32i32i3−2i3-11-1-11100000000000000000000000000i3−i3−i3i3000000000000000
χ7544-4-4-2-24-4222-2-22-4-4441-1-1122-2-222-2-222-2-200000000002i3−2i3−2i32i3-11-1-11100000000000000000000000000−i3i3i3−i3000000000000000
χ764-44-444004-44-4-4-422−22−22224-44-4000022−22−222222−22−2222000000000000000022−22−2222000000000000000000000000000000000000000000000
χ774-44-444004-44-4-4-4−222222−224-44-40000−222222−22−222222−220000000000000000−222222−22000000000000000000000000000000000000000000000
χ784-44-44-20042-2-42-422−22−2222-22-22000022−22−2222−222−20000−2i32i32i3−2i300000000−222−20000000000000000−i6i6i6−i60000000000000000000000000
χ794-44-44-20042-2-42-422−22−2222-22-22000022−22−2222−222−200002i3−2i3−2i32i300000000−222−20000000000000000i6−i6−i6i60000000000000000000000000
χ804-44-44-20042-2-42-4−222222−22-22-220000−222222−222−2−220000−2i32i32i3−2i3000000002−2−220000000000000000i6−i6−i6i60000000000000000000000000
χ814-44-44-20042-2-42-4−222222−22-22-220000−222222−222−2−2200002i3−2i3−2i32i3000000002−2−220000000000000000−i6i6i6−i60000000000000000000000000
χ824-44-4-2400-2-442-4222−22−2222-22-220000−222−222−22−22220000000000000000−222−20000000000000023−2300006−6−66000000000000000000000
χ834-44-4-2400-2-442-4222−22−2222-22-220000−222−222−22−22220000000000000000−222−200000000000000−23230000−666−6000000000000000000000
χ844-44-4-2400-2-442-42−222222−22-22-2200002−2−22−222222−2200000000000000002−2−220000000000000023−230000−666−6000000000000000000000
χ854-44-4-2400-2-442-42−222222−22-22-2200002−2−22−222222−2200000000000000002−2−2200000000000000−232300006−6−66000000000000000000000
χ864-4-444-200-4-22-42422−2222−22-2-222000022−2222−22−22−224-400-22-2200000000−22−220000000022−22000000−22−220000000000000000000000000
χ874-4-444-200-4-22-42422−2222−22-2-222000022−2222−22−22−22-44002-22-200000000−22−2200000000−22220000002−22−20000000000000000000000000
χ884-4-444-200-4-22-424−2222−2222-2-2220000−2222−22222−22−24-400-22-22000000002−22−200000000−22220000002−22−20000000000000000000000000
χ894-4-444-200-4-22-424−2222−2222-2-2220000−2222−22222−22−2-44002-22-2000000002−22−20000000022−22000000−22−220000000000000000000000000
χ904-4-44-240024-42-4-222−2222−22-2-2220000−22−2222−2222−22004-4000000000000−22−22000000-220022−2200000000−2−222000000000000000000000
χ914-4-44-240024-42-4-222−2222−22-2-2220000−22−2222−2222−2200-44000000000000−22−220000002-200−22220000000022−2−2000000000000000000000
χ924-4-44-240024-42-4-2−2222−2222-2-22200002−22−2−2222−2222004-40000000000002−22−2000000-2200−22220000000022−2−2000000000000000000000
χ934-4-44-240024-42-4-2−2222−2222-2-22200002−22−2−2222−222200-440000000000002−22−20000002-20022−2200000000−2−222000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-88444-4-4400002-2-22-4-44400000000000000000000002-20000000000000000000000000000000000000000000000000
χ968-88-8-4-400-44-444442−42−42422-22-20000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ978-88-8-4-400-44-4444−424242−422-22-2000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000
χ988-8-88-4-4004-4444-442−4242−4222-2-20000−2222−2222−2222−222200000000000000002−22−2000000000000000000000000000000000000000000000
χ998-8-88-4-4004-4444-4−4242−424222-2-2000022−2222−2222−2222−220000000000000000−22−22000000000000000000000000000000000000000000000

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