Finite Group Databasebeta

← Group #11886545

Character table — Group #11886545

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order122233446666668888366612121212242424242424242444441212121244121212121212242424242444446688881212121224242424242424241212121212124422121212122886622
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
χ3111111111111111111111111111111111111-1-11111111111111111-111111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111-111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-111111-111-1-1-1-1-1111-1-1-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-11-1-111-1-1-1-111-1-111-1-1-1-11111-11-1-111-1-11-1-1-111-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-11-1-1-1111111-1-111-1-11111-1-1-1-11-111-1-1-1-11-1-1-111-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-11-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1-1-1111-1-1-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111-111-1-111-11-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-11-1-111111-111-1-11-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-2-20000-2-2000022-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-200002-20000220000-2-2-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-20000-220000-2-20000222200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000220000220000-2-2220000000000000022000000-2000000
χ2122222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-100220000222222-1-1-1-1-1-1200000-1-10022-1-1000000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-100220000-2-2-2-2-2-2-1-1-1-1-1-1200000-1-10022-1-1000000-1-1-1-111111100-2-200000001100
χ2322222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-100-2-20000222222-1-1-1-1-1-1-2000001100-2-2110000001111-1-1-1-1-1-100-2-200000001100
χ2422222-122-12-1-1222222-1-1-1-1-122-12222-1-1-1-100-2-20000-2-2-2-2-2-2-1-1-1-1-1-1-2000001100-2-211000000111111111100220000000-1-100
χ2522222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-21111002200002-222-2-2-1-11111200000-1-100-2-2-1-10000001111-11-1-111002-20000000-1100
χ2622222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-2111100220000-22-2-222-1-11111200000-1-100-2-2-1-100000011111-111-1-100-2200000001-100
χ2722222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-2111100-2-200002-222-2-2-1-11111-20000011002211000000-1-1-1-1-11-1-11100-2200000001-100
χ2822222-122-12-1-122-2-2-2-2-1-1-1-1-122-1-2-2-2-2111100-2-20000-22-2-222-1-11111-20000011002211000000-1-1-1-11-111-1-1002-20000000-1100
χ292222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1-1-1-1-102222200220000-1-1-1-1-1-1000022-1-1-1-10000-1-1-1-10000000
χ302222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-122222200-1-1-1-1-2-21111-1-1-1-1-1-102-2-2-2-200220000-1-1-1-1-1-10000-2-21111000011110000000
χ312222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-12222-2-200111122-1-1-1-1-1-1-1-1-1-10-2-2-2-2-200-2-20000111111000022-1-1-1-1000011110000000
χ322222-12222-122-1-12222-1-1-1-12-1-12-1-1-1-12222-2-2001111-2-21111-1-1-1-1-1-10-2222200-2-200001111110000-2-211110000-1-1-1-10000000
χ332222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-22200-1-1-1-12-2-1-111-1-111110222-2-200-2-20000-1-1111100002-2-1-1110000-1-1110000000
χ342222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-22200-1-1-1-1-2211-1-1-1-1111102-2-22200-2-20000-1-111110000-2211-1-1000011-1-10000000
χ352222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-2-2-20011112-2-1-111-1-111110-2-2-2220022000011-1-1-1-100002-2-1-111000011-1-10000000
χ362222-12222-122-1-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-2-2-2001111-2211-1-1-1-111110-222-2-20022000011-1-1-1-10000-2211-1-10000-1-1110000000
χ3722-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22-22i−2i22-2-20000000022−2−2000000002−2−i2i22i−2i0022−2−2−i2−i2i2i20000002i−2i0000000−i2i20000
χ3822-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−22-2−2i2i22-2-20000000022−2−2000000002−2i2−i2−2i2i0022−2−2i2i2−i2−i2000000−2i2i0000000i2−i20000
χ3922-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2-222i−2i-2-2220000000022−2−200000000−22−i2i22i−2i00−2−222−i2−i2i2i2000000−2i2i0000000i2−i20000
χ4022-2-2220022-2-2-2-222−2−222-2-2000022−2−222−2−2-22−2i2i-2-2220000000022−2−200000000−22i2−i2−2i2i00−2−222i2i2−i2−i20000002i−2i0000000−i2i20000
χ4122-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222-22i−2i22-2-200000000−2−22200000000−22i2−i22i−2i00−2−222i2i2−i2−i20000002i−2i0000000i2−i20000
χ4222-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−2222-2−2i2i22-2-200000000−2−22200000000−22−i2i2−2i2i00−2−222−i2−i2i2i2000000−2i2i0000000−i2i20000
χ4322-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222-222i−2i-2-22200000000−2−222000000002−2i2−i22i−2i0022−2−2i2i2−i2−i2000000−2i2i0000000−i2i20000
χ4422-2-2220022-2-2-2-2−2−22222-2-20000−2−222−2−222-22−2i2i-2-22200000000−2−222000000002−2−i2i2−2i2i0022−2−2−i2−i2i2i20000002i−2i0000000i2−i20000
χ452-2-2222-22-2-22-2-222-22-22-22-2-22-222-22-22-22-200000000000000-222-22-2002-22-200000000000000000000000000002-22-20000000
χ462-2-2222-22-2-22-2-222-22-22-22-2-22-222-22-22-22-200000000000000-222-22-200-22-220000000000000000000000000000-22-220000000
χ472-2-2222-22-2-22-2-22-22-222-22-2-22-22-22-22-22-2200000000000000-22-22-22002-2-2200000000000000000000000000002-2-220000000
χ482-2-2222-22-2-22-2-22-22-222-22-2-22-22-22-22-22-2200000000000000-22-22-2200-222-20000000000000000000000000000-222-20000000
χ492-2-22-12-22-212-21-12-22-2-11-11-2-112-11-112-22-200003−33−3003−33−31-1-11-11002-22-2000000003−33−33−30000003−33−30000-11-110000000
χ502-2-22-12-22-212-21-12-22-2-11-11-2-112-11-112-22-200003−33−300−33−331-1-11-1100-22-22000000003−33−33−3000000−33−3300001-11-10000000
χ512-2-22-12-22-212-21-12-22-2-11-11-2-112-11-112-22-20000−33−33003−33−31-1-11-1100-22-2200000000−33−33−330000003−33−300001-11-10000000
χ522-2-22-12-22-212-21-12-22-2-11-11-2-112-11-112-22-20000−33−3300−33−331-1-11-11002-22-200000000−33−33−33000000−33−330000-11-110000000
χ532-2-22-12-22-212-21-1-22-22-11-11-2-1121-11-1-22-2200003−33−3003−3−331-11-11-1002-2-22000000003−3−33−330000003−3−330000-111-10000000
χ542-2-22-12-22-212-21-1-22-22-11-11-2-1121-11-1-22-2200003−33−300−333−31-11-11-100-222-2000000003−3−33−33000000−333−300001-1-110000000
χ552-2-22-12-22-212-21-1-22-22-11-11-2-1121-11-1-22-220000−33−33003−3−331-11-11-100-222-200000000−333−33−30000003−3−3300001-1-110000000
χ562-2-22-12-22-212-21-1-22-22-11-11-2-1121-11-1-22-220000−33−3300−333−31-11-11-1002-2-2200000000−333−33−3000000−333−30000-111-10000000
χ5744444-2-4-4-24-2-2440000-2-2-2-22-4-420000000000440000000000220000-400000220000-2-20000000000000000000000000000000
χ5844444-2-4-4-24-2-2440000-2-2-2-22-4-420000000000-4-40000000000220000400000-2-20000220000000000000000000000000000000
χ594444-24-4-44-244-2-20000-2-2-2-2-422-4000000004400-2-2-2-20000002200000-40000000000002200000000000000000000000000000
χ604444-24-4-44-244-2-20000-2-2-2-2-422-400000000-4-400222200000022000004000000000000-2-200000000000000000000000000000
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
χ6544-4-44-200-2422-4-42222−22−22-2-22200002222−22−22−2−222004i−4i000000000000−2−2220000000000−2i22i2−2i2i000000i2i2−i2−i2000000000000000000000
χ6644-4-44-200-2422-4-42222−22−22-2-22200002222−22−22−2−22200−4i4i000000000000−2−22200000000002i2−2i22i−2i000000−i2−i2i2i2000000000000000000000
χ6744-4-44-200-2422-4-4−22−222222-2-2220000−22−22222222−2−2004i−4i00000000000022−2−200000000002i2−2i2−2i2i000000−i2−i2i2i2000000000000000000000
χ6844-4-44-200-2422-4-4−22−222222-2-2220000−22−22222222−2−200−4i4i00000000000022−2−20000000000−2i22i22i−2i000000i2i2−i2−i2000000000000000000000
χ6944-4-4-24004-2-4-4222222−22−22-2-2220000−2−2222222−22−224-400-2-22200000000−2−2220000000022−22000000−2−2220000000000000000000000000
χ7044-4-4-24004-2-4-4222222−22−22-2-2220000−2−2222222−22−22-440022-2-200000000−2−22200000000−222200000022−2−20000000000000000000000000
χ7144-4-4-24004-2-4-422−22−222222-2-222000022−2−2−22−2222224-400-2-2220000000022−2−200000000−222200000022−2−20000000000000000000000000
χ7244-4-4-24004-2-4-422−22−222222-2-222000022−2−2−22−222222-440022-2-20000000022−2−20000000022−22000000−2−2220000000000000000000000000
χ734-44-44400-4-4-444-422−22−22224-4-44000022−22−222222−22−2222000000000000000022−22−2222000000000000000000000000000000000000000000000
χ744-44-44400-4-4-444-4−222222−224-4-440000−222222−22−222222−220000000000000000−222222−22000000000000000000000000000000000000000000000
χ754-44-44-2002-42-24-422−22−2222-222-2000022−22−2222−222−20000000000000000−222−2000000−2i32i3000000000000i6−i6i6−i6000000000000000000000
χ764-44-44-2002-42-24-422−22−2222-222-2000022−22−2222−222−20000000000000000−222−20000002i3−2i3000000000000−i6i6−i6i6000000000000000000000
χ774-44-44-2002-42-24-4−222222−22-222-20000−222222−222−2−2200000000000000002−2−22000000−2i32i3000000000000−i6i6−i6i6000000000000000000000
χ784-44-44-2002-42-24-4−222222−22-222-20000−222222−222−2−2200000000000000002−2−220000002i3−2i3000000000000i6−i6i6−i6000000000000000000000
χ794-44-4-2400-42-44-2222−22−2222-222-20000−222−222−22−2222000023−23−232300000000−222−200000000000000006−6−660000000000000000000000000
χ804-44-4-2400-42-44-2222−22−2222-222-20000−222−222−22−22220000−232323−2300000000−222−20000000000000000−666−60000000000000000000000000
χ814-44-4-2400-42-44-22−222222−22-222-200002−2−22−222222−22000023−23−2323000000002−2−220000000000000000−666−60000000000000000000000000
χ824-44-4-2400-42-44-22−222222−22-222-200002−2−22−222222−220000−232323−23000000002−2−2200000000000000006−6−660000000000000000000000000
χ834-4-44444-4-4-44-4-4400004-44-44-44-400000000000000000000004-40000000000000000000000000000000000000000000000000
χ844-4-444-24-42-4-22-440000-22-22-2-4420000000000000000000000-2200000000000000000000000023−23−2323000000000000000000000
χ854-4-444-24-42-4-22-440000-22-22-2-4420000000000000000000000-22000000000000000000000000−232323−23000000000000000000000
χ864-4-444-2-442-4-22-444-44-4-22-2224-4-24-44-4-22-22000000000000002-2-22-22000000000000000000000000000000000000000000000
χ874-4-444-2-442-4-22-44-44-44-22-2224-4-2-44-442-22-2000000000000002-22-22-2000000000000000000000000000000000000000000000
χ884-4-44-244-4-424-42-20000-22-2242-2-400000000000023−2323−23000000-22000000000000000000−232300000000000000000000000000000
χ894-4-44-244-4-424-42-20000-22-2242-2-4000000000000−2323−2323000000-2200000000000000000023−2300000000000000000000000000000
χ904-4-44-2-2-4422-222-24-44-41-11-12-22-2-22-22-22-22000000000023−2323−23-111-11-100000000000000000000000000−33−33000000000000000
χ914-4-44-2-2-4422-222-24-44-41-11-12-22-2-22-22-22-220000000000−2323−2323-111-11-1000000000000000000000000003−33−3000000000000000
χ924-4-44-2-2-4422-222-2-44-441-11-12-22-22-22-22-22-2000000000023−23−2323-11-11-1100000000000000000000000000−333−3000000000000000
χ934-4-44-2-2-4422-222-2-44-441-11-12-22-22-22-22-22-20000000000−232323−23-11-11-11000000000000000000000000003−3−33000000000000000
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
χ978-88-8-4-400444-4-4442−42−42422-2-220000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ988-88-8-4-400444-4-44−424242−422-2-22000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000
χ998-8-88-4-48-844-444-400002-22-2-44-4400000000000000000000002-20000000000000000000000000000000000000000000000000

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