Finite Group Databasebeta

← Group #11887661

Character table — Group #11887661

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order1222334466666688883666121212122424242424242424222266664412121212121224242424444444668888121212122424242424242424121212121212444412121212488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111111111111-11111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-11-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111-111-1-11-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-11-1-1-111-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-1-1111-1-1-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1111-1-1-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-11-111-1-1-1-11-1-1-111-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-11-1-111111-111-1-11-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-111-1-111-11-1-1111-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-2-20000220000-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000-220000-2-20000-2-22200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-200002-2000022000022-2-200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000220000-2-2000022220000000000000022000000-2000000
χ2122222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100220000222222-1-1-1-1-1-1020000-1-1002200-1-10000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100220000-2-2-2-2-2-2-1-1-1-1-1-1020000-1-1002200-1-10000-1-1-1-111111100-2-200000001100
χ2322222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-20000222222-1-1-1-1-1-10-200001100-2-2001100001111-1-1-1-1-1-100-2-200000001100
χ2422222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-20000-2-2-2-2-2-2-1-1-1-1-1-10-200001100-2-200110000111111111100220000000-1-100
χ2522222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200002-2-2-222-1-11111020000-1-100-2-200-1-1000011111-111-1-100-220000000-1100
χ2622222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100220000-2222-2-2-1-11111020000-1-100-2-200-1-100001111-11-1-111002-200000001-100
χ2722222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200002-2-2-222-1-111110-2000011002200110000-1-1-1-11-111-1-1002-200000001-100
χ2822222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-20000-2222-2-2-1-111110-2000011002200110000-1-1-1-1-11-1-11100-220000000-1100
χ292222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1-1-1-1-1202222002200-1-100-1-1-1-1000022-1-1-1-10000-1-1-1-10000000
χ302222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-1-2-21111-1-1-1-1-1-120-2-2-2-2002200-1-100-1-1-1-10000-2-21111000011110000000
χ312222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-200111122-1-1-1-1-1-1-1-1-1-1-20-2-2-2-200-2-20011001111000022-1-1-1-1000011110000000
χ322222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-2001111-2-21111-1-1-1-1-1-1-20222200-2-200110011110000-2-211110000-1-1-1-10000000
χ332222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-12-211-1-1-1-111112022-2-200-2-200-1-10011110000-2211-1-1000011-1-10000000
χ342222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-1-22-1-111-1-1111120-2-22200-2-200-1-100111100002-2-1-1110000-1-1110000000
χ352222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-20011112-211-1-1-1-11111-20-2-2220022001100-1-1-1-10000-2211-1-10000-1-1110000000
χ362222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2001111-22-1-111-1-11111-2022-2-20022001100-1-1-1-100002-2-1-111000011-1-10000000
χ3722-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22-22-222-2-20000000022−2−20000002-22−22−2000022−2−222−2−20000002-200000002−20000
χ3822-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22-2-2222-2-20000000022−2−2000000-222−2−22000022−2−2−2−222000000-220000000−220000
χ3922-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2-222-2-2-2220000000022−2−20000002-2−222−20000−2−22222−2−2000000-220000000−220000
χ4022-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2-22-22-2-2220000000022−2−2000000-22−22−220000−2−222−2−2220000002-200000002−20000
χ4122-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222-22-222-2-200000000−2−2220000002-2−22−220000−2−222−2−2220000002-20000000−220000
χ4222-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222-2-2222-2-200000000−2−222000000-22−222−20000−2−22222−2−2000000-2200000002−20000
χ4322-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222-222-2-2-22200000000−2−2220000002-22−2−22000022−2−2−2−222000000-2200000002−20000
χ4422-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222-22-22-2-22200000000−2−222000000-222−22−2000022−2−222−2−20000002-20000000−220000
χ452-22-222-22-2-2-2-2222i−2i2i−2i2-2-2222-2-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i002-22i−2i00000000000000000000000000002i−2i2-20000000
χ462-22-222-22-2-2-2-2222i−2i2i−2i2-2-2222-2-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i00-22−2i2i0000000000000000000000000000−2i2i-220000000
χ472-22-222-22-2-2-2-222−2i2i−2i2i2-2-2222-2-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i002-2−2i2i0000000000000000000000000000−2i2i2-20000000
χ482-22-222-22-2-2-2-222−2i2i−2i2i2-2-2222-2-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i00-222i−2i00000000000000000000000000002i−2i-220000000
χ492-22-2-12-221-21-2-122i−2i2i−2i-111-1-121-2−ii−ii2i−2i2i−2i0000−i3i3−i3i3003−3−i3i3-11−ii−ii002-22i−2i000000−i3i3003−33−30000003−3−i3i30000−ii-110000000
χ502-22-2-12-221-21-2-122i−2i2i−2i-111-1-121-2−ii−ii2i−2i2i−2i0000−i3i3−i3i300−33i3−i3-11−ii−ii00-22−2i2i000000−i3i3003−33−3000000−33i3−i30000i−i1-10000000
χ512-22-2-12-221-21-2-122i−2i2i−2i-111-1-121-2−ii−ii2i−2i2i−2i0000i3−i3i3−i3003−3−i3i3-11−ii−ii00-22−2i2i000000i3−i300−33−330000003−3−i3i30000i−i1-10000000
χ522-22-2-12-221-21-2-122i−2i2i−2i-111-1-121-2−ii−ii2i−2i2i−2i0000i3−i3i3−i300−33i3−i3-11−ii−ii002-22i−2i000000i3−i300−33−33000000−33i3−i30000−ii-110000000
χ532-22-2-12-221-21-2-12−2i2i−2i2i-111-1-121-2i−ii−i−2i2i−2i2i0000−i3i3−i3i3003−3i3−i3-11i−ii−i00-222i−2i000000−i3i300−33−330000003−3i3−i30000−ii1-10000000
χ542-22-2-12-221-21-2-12−2i2i−2i2i-111-1-121-2i−ii−i−2i2i−2i2i0000−i3i3−i3i300−33−i3i3-11i−ii−i002-2−2i2i000000−i3i300−33−33000000−33−i3i30000i−i-110000000
χ552-22-2-12-221-21-2-12−2i2i−2i2i-111-1-121-2i−ii−i−2i2i−2i2i0000i3−i3i3−i3003−3i3−i3-11i−ii−i002-2−2i2i000000i3−i3003−33−30000003−3i3−i30000i−i-110000000
χ562-22-2-12-221-21-2-12−2i2i−2i2i-111-1-121-2i−ii−i−2i2i−2i2i0000i3−i3i3−i300−33−i3i3-11i−ii−i00-222i−2i000000i3−i3003−33−3000000−33−i3i30000−ii1-10000000
χ5744444-2-4-44-24-24-20000-2-2-2-2-42-4200000000004400000000002200000-40000-2-20000002200000000000000000000000000000
χ5844444-2-4-44-24-24-20000-2-2-2-2-42-420000000000-4-4000000000022000004000022000000-2-200000000000000000000000000000
χ594444-24-4-4-24-24-240000-2-2-2-22-42-4000000004400-2-2-2-2000000220000-400000000000220000000000000000000000000000000
χ604444-24-4-4-24-24-240000-2-2-2-22-42-400000000-4-4002222000000220000400000000000-2-20000000000000000000000000000000
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
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-422-2-211-1-1-1-10000000000000000000000002-2-1-111000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-44-2-22211-1-1-1-1000000000000000000000000-2211-1-1000000000000000
χ6544-4-44-2004-2-42-422222−22−22-2-22200002222−22−22−2−222004-4000000000000−2−222000000-220022−2200000000−2−222000000000000000000000
χ6644-4-44-2004-2-42-422222−22−22-2-22200002222−22−22−2−22200-44000000000000−2−2220000002-200−22220000000022−2−2000000000000000000000
χ6744-4-44-2004-2-42-42−22−222222-2-2220000−22−22222222−2−2004-400000000000022−2−2000000-2200−22220000000022−2−2000000000000000000000
χ6844-4-44-2004-2-42-42−22−222222-2-2220000−22−22222222−2−200-4400000000000022−2−20000002-20022−2200000000−2−222000000000000000000000
χ6944-4-4-2400-242-42-42222−22−22-2-2220000−2−2222222−22−224-400-2-22200000000−2−2220000000022−22000000−2−2220000000000000000000000000
χ7044-4-4-2400-242-42-42222−22−22-2-2220000−2−2222222−22−22-440022-2-200000000−2−22200000000−222200000022−2−20000000000000000000000000
χ7144-4-4-2400-242-42-4−22−222222-2-222000022−2−2−22−2222224-400-2-2220000000022−2−200000000−222200000022−2−20000000000000000000000000
χ7244-4-4-2400-242-42-4−22−222222-2-222000022−2−2−22−222222-440022-2-20000000022−2−20000000022−22000000−2−2220000000000000000000000000
χ734-44-4444-4-4-4-4-44400004-4-44-4-4440000000000000000000000-440000000000000000000000000000000000000000000000000
χ744-44-44-24-4-42-424-20000-222-2-424-200000000000000000000002-2000000000000000000000000−2i32i3−2i32i3000000000000000000000
χ754-44-44-24-4-42-424-20000-222-2-424-200000000000000000000002-20000000000000000000000002i3−2i32i3−2i3000000000000000000000
χ764-44-44-2-44-42-424-24i−4i4i−4i-222-24-2-424i−4i4i−4i−2i2i−2i2i00000000000000-22−2i2i−2i2i000000000000000000000000000000000000000000000
χ774-44-44-2-44-42-424-2−4i4i−4i4i-222-24-2-42−4i4i−4i4i2i−2i2i−2i00000000000000-222i−2i2i−2i000000000000000000000000000000000000000000000
χ784-44-4-244-42-42-4-240000-222-22-4-24000000000000−2i32i3−2i32i30000002-200000000000000002i3−2i30000000000000000000000000000000
χ794-44-4-244-42-42-4-240000-222-22-4-240000000000002i3−2i32i3−2i30000002-20000000000000000−2i32i30000000000000000000000000000000
χ804-44-4-2-2-442222-2-24i−4i4i−4i1-1-11-2-222−2i2i−2i2i−2i2i−2i2i000000000023−23−2i32i31-1i−ii−i00000000000000000000000000−33i3−i3000000000000000
χ814-44-4-2-2-442222-2-24i−4i4i−4i1-1-11-2-222−2i2i−2i2i−2i2i−2i2i0000000000−23232i3−2i31-1i−ii−i000000000000000000000000003−3−i3i3000000000000000
χ824-44-4-2-2-442222-2-2−4i4i−4i4i1-1-11-2-2222i−2i2i−2i2i−2i2i−2i000000000023−232i3−2i31-1−ii−ii00000000000000000000000000−33−i3i3000000000000000
χ834-44-4-2-2-442222-2-2−4i4i−4i4i1-1-11-2-2222i−2i2i−2i2i−2i2i−2i0000000000−2323−2i32i31-1−ii−ii000000000000000000000000003−3i3−i3000000000000000
χ844-4-444400-4-444-4-4−2i22i22i2−2i24-44-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000
χ854-4-444400-4-444-4-42i2−2i2−2i22i24-44-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ864-4-444-200-424-2-42−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i20000000000000023−230000i6−i6−i6i6000000000000000000000
χ874-4-444-200-424-2-42−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i200000000000000−23230000−i6i6i6−i6000000000000000000000
χ884-4-444-200-424-2-422i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i20000000000000023−230000−i6i6i6−i6000000000000000000000
χ894-4-444-200-424-2-422i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i200000000000000−23230000i6−i6−i6i6000000000000000000000
χ904-4-44-24002-4-242-4−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i20000−2i32i32i3−2i300000000i2−i2−i2i20000000000000000−666−60000000000000000000000000
χ914-4-44-24002-4-242-4−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i200002i3−2i3−2i32i300000000i2−i2−i2i200000000000000006−6−660000000000000000000000000
χ924-4-44-24002-4-242-42i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i20000−2i32i32i3−2i300000000−i2i2i2−i200000000000000006−6−660000000000000000000000000
χ934-4-44-24002-4-242-42i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i200002i3−2i3−2i32i300000000−i2i2i2−i20000000000000000−666−60000000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-4-444444242−42−4222-2-20000−22−222222−22−222222000000000000000022−2−2000000000000000000000000000000000000000000000
χ9688-8-8-4-400-4-44444−42−42424222-2-200002222−22−222222−22−220000000000000000−2−222000000000000000000000000000000000000000000000
χ978-88-8-4-48-84444-4-400002-2-2244-4-40000000000000000000000-220000000000000000000000000000000000000000000000000
χ988-8-88-4-40044-4-444−4i24i24i2−4i22-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ998-8-88-4-40044-4-4444i2−4i2−4i24i22-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000

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