Finite Group Databasebeta

← Group #11887683

Character table — Group #11887683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424242244121212124412121212121224242424444444668888121212122424242424242424121212121212224412121212488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-11-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11-1-111-1-111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1111-1-11-1-1-11-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1111-1-11-11-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-11-111-1-1-1-1-11-1-111-111-111-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-11-1-111-1-11-111-1-1-1111-1-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-11-111-1-1-1111-11-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1-11-1-111-111-11-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111111-111-1-1111-1-1-1111-1-11-1-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-11-1-11111-1111-1-11-1-1-111-1
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-200-200220000-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2-2-2000000-2-20000200-20022000022-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-2222222000000-2-20000-200200-2-20000-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000200200-2-2000022220000000000000022000000-2000000
χ2122222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-122000000222222-1-1-1-1-1-1000200-1-1002200-1-10000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-122000000-2-2-2-2-2-2-1-1-1-1-1-1000200-1-1002200-1-10000-1-1-1-111111100-2-200000001100
χ2322222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-2000000222222-1-1-1-1-1-1000-2001100-2-2001100001111-1-1-1-1-1-100-2-200000001100
χ2422222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-2000000-2-2-2-2-2-2-1-1-1-1-1-1000-2001100-2-200110000111111111100220000000-1-100
χ2522222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111220000002-2-2-222-1-11111000200-1-100-2-200-1-100001111-11-1-11100-2200000001-100
χ2622222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-2111122000000-2222-2-2-1-11111000200-1-100-2-200-1-1000011111-111-1-1002-20000000-1100
χ2722222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-20000002-2-2-222-1-11111000-20011002200110000-1-1-1-1-11-1-111002-20000000-1100
χ2822222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2000000-2222-2-2-1-11111000-20011002200110000-1-1-1-11-111-1-100-2200000001-100
χ292222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-122220022-1-1-1-122-1-1-1-1-1-1-1-1-1-1222022002200-1-100-1-1-1-1000022-1-1-1-10000-1-1-1-10000000
χ302222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-122220022-1-1-1-1-2-21111-1-1-1-1-1-12-2-20-2-2002200-1-100-1-1-1-10000-2-21111000011110000000
χ312222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-2111122-1-1-1-1-1-1-1-1-1-1-2-2-20-2-200-2-20011001111000022-1-1-1-1000011110000000
χ322222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-21111-2-21111-1-1-1-1-1-1-22202200-2-200110011110000-2-211110000-1-1-1-10000000
χ332222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-1-1-1-12-211-1-1-1-111112-2-202200-2-200-1-100111100002-2-1-1110000-1-1110000000
χ342222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-1-1-1-1-22-1-111-1-111112220-2-200-2-200-1-10011110000-2211-1-1000011-1-10000000
χ352222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-211112-211-1-1-1-11111-2220-2-20022001100-1-1-1-100002-2-1-111000011-1-10000000
χ362222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-21111-22-1-111-1-11111-2-2-20220022001100-1-1-1-10000-2211-1-10000-1-1110000000
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
χ3822-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22-2-22-2-2220000000022−2−20000002-2−222−20000−2−22222−2−2000000-220000000−220000
χ3922-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2-222-222-2-20000000022−2−2000000-222−2−22000022−2−2−2−222000000-220000000−220000
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
χ4222-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222-2-22-2-22200000000−2−2220000002-22−2−22000022−2−2−2−222000000-2200000002−20000
χ4322-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222-222-222-2-200000000−2−222000000-22−222−20000−2−22222−2−2000000-2200000002−20000
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
χ452-2-22222-2-2-2-22-222i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i02i−2i02-200000000000000000000000000002-22i−2i0000000
χ462-2-22222-2-2-2-22-222i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i0−2i2i0-220000000000000000000000000000-22−2i2i0000000
χ472-2-22222-2-2-2-22-22−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i02i−2i0-220000000000000000000000000000-222i−2i0000000
χ482-2-22222-2-2-2-22-22−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i0−2i2i02-200000000000000000000000000002-2−2i2i0000000
χ492-2-22-122-2-21-2-1122i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i00003−33−300−i3i33−3-11−ii−ii02i−2i02-20000003−300−i3i3−i3i30000003−3−i3i30000-11−ii0000000
χ502-2-22-122-2-21-2-1122i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i00003−33−300i3−i3−33-11−ii−ii0−2i2i0-220000003−300−i3i3−i3i3000000−33i3−i300001-1i−i0000000
χ512-2-22-122-2-21-2-1122i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i0000−33−3300−i3i33−3-11−ii−ii0−2i2i0-22000000−3300i3−i3i3−i30000003−3−i3i300001-1i−i0000000
χ522-2-22-122-2-21-2-1122i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i0000−33−3300i3−i3−33-11−ii−ii02i−2i02-2000000−3300i3−i3i3−i3000000−33i3−i30000-11−ii0000000
χ532-2-22-122-2-21-2-112−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i00003−33−300−i3i3−33-11i−ii−i02i−2i0-220000003−300i3−i3i3−i3000000−33−i3i300001-1−ii0000000
χ542-2-22-122-2-21-2-112−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i00003−33−300i3−i33−3-11i−ii−i0−2i2i02-20000003−300i3−i3i3−i30000003−3i3−i30000-11i−i0000000
χ552-2-22-122-2-21-2-112−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i0000−33−3300−i3i3−33-11i−ii−i0−2i2i02-2000000−3300−i3i3−i3i3000000−33−i3i30000-11i−i0000000
χ562-2-22-122-2-21-2-112−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i0000−33−3300i3−i33−3-11i−ii−i02i−2i0-22000000−3300−i3i3−i3i30000003−3i3−i300001-1−ii0000000
χ5744444-2-4-4-24-244-20000-2-2-2-22-4-420000000044000000000000220000000-400-2-20000002200000000000000000000000000000
χ5844444-2-4-4-24-244-20000-2-2-2-22-4-4200000000-4-400000000000022000000040022000000-2-200000000000000000000000000000
χ594444-24-4-44-24-2-240000-2-2-2-2-422-4000000000044-2-2-2-2000000220000-400000000000220000000000000000000000000000000
χ604444-24-4-44-24-2-240000-2-2-2-2-422-40000000000-4-42222000000220000400000000000-2-20000000000000000000000000000000
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
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-422-2-211-1-1-1-1000000000000000000000000-2211-1-1000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-44-2-22211-1-1-1-10000000000000000000000002-2-1-111000000000000000
χ6544-4-44-200-242-4-422222−22−22-2-22200002222−22−22−2−2224-400000000000000−2−222000000-220022−2200000000−2−222000000000000000000000
χ6644-4-44-200-242-4-422222−22−22-2-22200002222−22−22−2−222-4400000000000000−2−2220000002-200−22220000000022−2−2000000000000000000000
χ6744-4-44-200-242-4-42−22−222222-2-2220000−22−22222222−2−24-40000000000000022−2−2000000-2200−22220000000022−2−2000000000000000000000
χ6844-4-44-200-242-4-42−22−222222-2-2220000−22−22222222−2−2-440000000000000022−2−20000002-20022−2200000000−2−222000000000000000000000
χ6944-4-4-24004-2-422-42222−22−22-2-2220000−2−2222222−22−22004-4-2-22200000000−2−2220000000022−22000000−2−2220000000000000000000000000
χ7044-4-4-24004-2-422-42222−22−22-2-2220000−2−2222222−22−2200-4422-2-200000000−2−22200000000−222200000022−2−20000000000000000000000000
χ7144-4-4-24004-2-422-4−22−222222-2-222000022−2−2−22−222222004-4-2-2220000000022−2−200000000−222200000022−2−20000000000000000000000000
χ7244-4-4-24004-2-422-4−22−222222-2-222000022−2−2−22−22222200-4422-2-20000000022−2−20000000022−22000000−2−2220000000000000000000000000
χ734-44-44400-4-44-44-4−2i22i22i2−2i24-44-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000
χ744-44-44400-4-44-44-42i2−2i2−2i22i24-44-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ754-44-44-2002-4-2-442−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i20000000000000023−230000i6−i6i6−i6000000000000000000000
χ764-44-44-2002-4-2-442−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i200000000000000−23230000−i6i6−i6i6000000000000000000000
χ774-44-44-2002-4-2-4422i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i20000000000000023−230000−i6i6−i6i6000000000000000000000
χ784-44-44-2002-4-2-4422i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i200000000000000−23230000i6−i6i6−i6000000000000000000000
χ794-44-4-2400-4242-2-4−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i2000023−23−232300000000i2−i2−i2i20000000000000000i6−i6−i6i60000000000000000000000000
χ804-44-4-2400-4242-2-4−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i20000−232323−2300000000i2−i2−i2i20000000000000000−i6i6i6−i60000000000000000000000000
χ814-44-4-2400-4242-2-42i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i2000023−23−232300000000−i2i2i2−i20000000000000000−i6i6i6−i60000000000000000000000000
χ824-44-4-2400-4242-2-42i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i20000−232323−2300000000−i2i2i2−i20000000000000000i6−i6−i6i60000000000000000000000000
χ834-4-4444-44-4-4-44-4400004-4-44-44-440000000000000000000000-440000000000000000000000000000000000000000000000000
χ844-4-444-24-42-424-4-24i−4i4i−4i-222-2-2-4424i−4i4i−4i−2i2i−2i2i00000000000000-22−2i2i−2i2i000000000000000000000000000000000000000000000
χ854-4-444-24-42-424-4-2−4i4i−4i4i-222-2-2-442−4i4i−4i4i2i−2i2i−2i00000000000000-222i−2i2i−2i000000000000000000000000000000000000000000000
χ864-4-444-2-442-424-4-20000-222-224-4-200000000000000000000002-2000000000000000000000000−2i32i32i3−2i3000000000000000000000
χ874-4-444-2-442-424-4-20000-222-224-4-200000000000000000000002-20000000000000000000000002i3−2i3−2i32i3000000000000000000000
χ884-4-44-24-44-42-4-2240000-222-2-4-22400000000000023−2323−230000002-20000000000000000−23230000000000000000000000000000000
χ894-4-44-24-44-42-4-2240000-222-2-4-224000000000000−2323−23230000002-2000000000000000023−230000000000000000000000000000000
χ904-4-44-2-24-4222-22-24i−4i4i−4i1-1-11-22-22−2i2i−2i2i−2i2i−2i2i0000000000−2i32i323−231-1i−ii−i00000000000000000000000000−33i3−i3000000000000000
χ914-4-44-2-24-4222-22-24i−4i4i−4i1-1-11-22-22−2i2i−2i2i−2i2i−2i2i00000000002i3−2i3−23231-1i−ii−i000000000000000000000000003−3−i3i3000000000000000
χ924-4-44-2-24-4222-22-2−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i0000000000−2i32i3−23231-1−ii−ii000000000000000000000000003−3i3−i3000000000000000
χ934-4-44-2-24-4222-22-2−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i00000000002i3−2i323−231-1−ii−ii00000000000000000000000000−33−i3i3000000000000000
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
χ978-88-8-4-40044-44-44−4i24i24i2−4i22-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ988-88-8-4-40044-44-444i2−4i2−4i24i22-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ998-8-88-4-4-88444-44-400002-2-224-44-40000000000000000000000-220000000000000000000000000000000000000000000000000

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