Finite Group Databasebeta

← Group #11898311

Character table — Group #11898311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424244444888812121212412121212121212122424242424244444881212121224242424121212121244224666612121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-111111111111-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-1-111-1-1111-1-111-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-111-1-11111-111111-1-1-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-111-1-1-1-11-1111-1-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1-11111-111-1-1-1-1-11-1-1-111111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-111-1-1-1-11111-111-1-111-1-11-1-1-1-1-111111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1-11-1-1-1-1111-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-1-1-11-1-111-1-1-11-1-1-111-11111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-111-1-11-1111-1-11-1-1-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-11111-1-1-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-200-20022-2-2000000000220000000-20000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2000022220000000-2-2000000-200200-2-2-2-2000000000-2-2000000020000200000
χ19222222-2-222222220022200-2-2-2-20000-2-2220000-2-2-2-20000000-2-2000000200-2002222000000000-2-20000000-20000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-2000000200200-2-22200000000022000000020000-200000
χ2122222-1222-12-12-1-122-1-1-1222-1-12-1-1-1-122002222-1-1-1-12-1-122-1-1-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-100200-1-1000-1-100000000
χ2222222-1222-12-12-1-122-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-2000001111112-1-1-1-100-200110001100000000
χ2322222-1222-12-12-1-122-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1-21122-1-1-1-1-2-211112-2-200000-1-11111-2-1-11100200-1-10001100000000
χ2422222-1222-12-12-1-122-1-1-1-2-22-1-121111-2-20022221111-21122-1-1-1-1-2-21111-2220000011-1-1-1-1-2-1-11100-20011000-1-100000000
χ2522222-1222-12-12-1-1-2-2-1-1-1222-1-12-1-1-1-122002222-1-1-1-1-211-2-211-1-122-1-1-1-12-2-200000-1-1-1-1-1-1-2111100-200110001100000000
χ2622222-1222-12-12-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111-211-2-211-1-122-1-1-1-1-22200000111111-2111100200-1-1000-1-100000000
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-12-1-1-2-211-1-1-2-2111122200000-1-11111211-1-100-20011000-1-100000000
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-1-121111-2-200222211112-1-1-2-211-1-1-2-21111-2-2-20000011-1-1-1-1211-1-100200-1-10001100000000
χ292222-1222-12-12-12-122-1-1-122-122-12222002200000000222-1-122-1-1-1-1-1-1-1-1000222-1-1000000-1-1-1-1-10002200-1-1-100-1-1000-100
χ302222-1222-12-12-12-122-1-1-122-122-1222200-2-200000000222-1-122-1-1-1-1-1-1-1-1000-2-2-211000000-1-1-1-1-1000-2-2001110011000100
χ312222-1222-12-12-12-122-1-1-1-2-2-122-1-2-2-2-2002200000000-2-2-2-1-122-1-11111110002-2-2-1-10000001-1-1110002-200-1-1-10011000100
χ322222-1222-12-12-12-122-1-1-1-2-2-122-1-2-2-2-200-2-200000000-2-2-2-1-122-1-1111111000-222110000001-1-111000-220011100-1-1000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-122-12222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-1000222-1-100000011111000-2-20011-100-1-1000100
χ342222-1222-12-12-12-1-2-2-1-1-122-122-1222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-2-2-211000000111110002200-1-110011000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-200220000000022211-2-2-1-11111110002-2-2-1-1000000-111-1-1000-220011-10011000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-20000000022211-2-2-1-1111111000-22211000000-111-1-10002-200-1-1100-1-1000100
χ3722-2-22200-2-222-2-2200-22-2−i2i20000−i2−i2i2i22-22-2−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i20000−i2i22-200−i2−i2i2i2000002-20000000000−i2i20−i2i2000
χ3822-2-22200-2-222-2-2200-22-2−i2i20000−i2−i2i2i22-2-22−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i20000i2−i2-2200−i2−i2i2i200000-220000000000i2−i20i2−i2000
χ3922-2-22200-2-222-2-2200-22-2−i2i20000−i2−i2i2i2-222-2i2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i20000−i2i22-200i2i2−i2−i200000-220000000000−i2i20i2−i2000
χ4022-2-22200-2-222-2-2200-22-2−i2i20000−i2−i2i2i2-22-22i2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i20000i2−i2-2200i2i2−i2−i2000002-20000000000i2−i20−i2i2000
χ4122-2-22200-2-222-2-2200-22-2i2−i20000i2i2−i2−i22-22-2i2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i20000i2−i22-200i2i2−i2−i2000002-20000000000i2−i20i2−i2000
χ4222-2-22200-2-222-2-2200-22-2i2−i20000i2i2−i2−i22-2-22i2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i20000−i2i2-2200i2i2−i2−i200000-220000000000−i2i20−i2i2000
χ4322-2-22200-2-222-2-2200-22-2i2−i20000i2i2−i2−i2-222-2−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i20000i2−i22-200−i2−i2i2i200000-220000000000i2−i20−i2i2000
χ4422-2-22200-2-222-2-2200-22-2i2−i20000i2i2−i2−i2-22-22−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i20000−i2i2-2200−i2−i2i2i2000002-20000000000−i2i20i2−i2000
χ452-2-22222-2-22-2-22-222i−2i-2-22002-22-2000000002-22-200000002i−2i2i−2i2-200000002i−2i00000002-22-202i−2i0000000000002i−2i00000000
χ462-2-22222-2-22-2-22-222i−2i-2-22002-22-200000000-22-2200000002i−2i2i−2i2-20000000−2i2i0000000-22-2202i−2i000000000000−2i2i00000000
χ472-2-22222-2-22-2-22-22−2i2i-2-22002-22-2000000002-22-20000000−2i2i−2i2i2-20000000−2i2i00000002-22-20−2i2i000000000000−2i2i00000000
χ482-2-22222-2-22-2-22-22−2i2i-2-22002-22-200000000-22-220000000−2i2i−2i2i2-200000002i−2i0000000-22-220−2i2i0000000000002i−2i00000000
χ492-2-222-12-2-2-1-2121-12i−2i11-10021-1-23−33−300002-22-23−33−30−i3i32i−2i−ii-11003−33−302i−2i000003−3-11-110−ii−i3i300000−i3i3000−ii00000000
χ502-2-222-12-2-2-1-2121-12i−2i11-10021-1-23−33−30000-22-22−33−330−i3i32i−2i−ii-11003−33−30−2i2i00000−331-11-10−ii−i3i300000i3−i3000i−i00000000
χ512-2-222-12-2-2-1-2121-12i−2i11-10021-1-2−33−3300002-22-2−33−330i3−i32i−2i−ii-1100−33−3302i−2i00000−33-11-110−iii3−i300000i3−i3000−ii00000000
χ522-2-222-12-2-2-1-2121-12i−2i11-10021-1-2−33−330000-22-223−33−30i3−i32i−2i−ii-1100−33−330−2i2i000003−31-11-10−iii3−i300000−i3i3000i−i00000000
χ532-2-222-12-2-2-1-2121-1−2i2i11-10021-1-23−33−300002-22-23−33−30i3−i3−2i2ii−i-11003−33−30−2i2i000003−3-11-110i−ii3−i300000i3−i3000i−i00000000
χ542-2-222-12-2-2-1-2121-1−2i2i11-10021-1-23−33−30000-22-22−33−330i3−i3−2i2ii−i-11003−33−302i−2i00000−331-11-10i−ii3−i300000−i3i3000−ii00000000
χ552-2-222-12-2-2-1-2121-1−2i2i11-10021-1-2−33−3300002-22-2−33−330−i3i3−2i2ii−i-1100−33−330−2i2i00000−33-11-110i−i−i3i300000−i3i3000i−i00000000
χ562-2-222-12-2-2-1-2121-1−2i2i11-10021-1-2−33−330000-22-223−33−30−i3i3−2i2ii−i-1100−33−3302i−2i000003−31-11-10i−i−i3i300000i3−i3000−ii00000000
χ5744444-2-4-44-24-24-2-200-2-2-200-422-4000044000000-2-2-2-2000000022000000-400000002200000000000000000000000000000
χ5844444-2-4-44-24-24-2-200-2-2-200-422-40000-4-4000000222200000002200000040000000-2-200000000000000000000000000000
χ594444-24-4-4-24-24-24-200-2-2-2002-4-420000004400000000000000022000000000-400-2-20000000000000000000020000000000
χ604444-24-4-4-24-24-24-200-2-2-2002-4-42000000-4-4000000000000000220000000004002200000000000000000000-20000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000000004-2-222221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-44-200-424-2-42-2002-22−2i22i20000i2i2−i2−i24-400−2i2−2i22i22i2-2-222000000000−2i22i2i2i2−i2−i20000000000i2i2−i2−i20000000000000000000000000
χ6644-4-44-200-424-2-42-2002-22−2i22i20000i2i2−i2−i2-44002i22i2−2i2−2i222-2-2000000000−2i22i2i2i2−i2−i20000000000−i2−i2i2i20000000000000000000000000
χ6744-4-44-200-424-2-42-2002-222i2−2i20000−i2−i2i2i24-4002i22i2−2i2−2i2-2-2220000000002i2−2i2−i2−i2i2i20000000000−i2−i2i2i20000000000000000000000000
χ6844-4-44-200-424-2-42-2002-222i2−2i20000−i2−i2i2i2-4400−2i2−2i22i22i222-2-20000000002i2−2i2−i2−i2i2i20000000000i2i2−i2−i20000000000000000000000000
χ6944-4-4-24002-4-242-4-2002-22−2i22i20000−2i2−2i22i22i2004-400000000000000000i2−i2i2i2−i2−i20000−2i22i2-2200000000000000000000000i2−i2000000
χ7044-4-4-24002-4-242-4-2002-22−2i22i20000−2i2−2i22i22i200-4400000000000000000i2−i2i2i2−i2−i200002i2−2i22-200000000000000000000000−i2i2000000
χ7144-4-4-24002-4-242-4-2002-222i2−2i200002i22i2−2i2−2i2004-400000000000000000−i2i2−i2−i2i2i200002i2−2i2-2200000000000000000000000−i2i2000000
χ7244-4-4-24002-4-242-4-2002-222i2−2i200002i22i2−2i2−2i200-4400000000000000000−i2i2−i2−i2i2i20000−2i22i22-200000000000000000000000i2−i2000000
χ734-44-444004-4-4-4-444004-4-400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ744-44-444004-4-4-4-444004-4-4000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ754-44-44-20042-42-4-2-200-222000000i6−i6−i6i60000−2i22i22i2−2i2−232323−2300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ764-44-44-20042-42-4-2-200-222000000i6−i6−i6i600002i2−2i2−2i22i223−23−232300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ774-44-44-20042-42-4-2-200-222000000−i6i6i6−i60000−2i22i22i2−2i223−23−232300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ784-44-44-20042-42-4-2-200-222000000−i6i6i6−i600002i2−2i2−2i22i2−232323−2300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ794-4-4444-44-44-4-44-4400-4-4400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-2-44-4-2-4242-20022-200-4-22400000000000023−2323−2300000002-200000000000000−232300000000000000000000000000000
χ814-4-444-2-44-4-2-4242-20022-200-4-224000000000000−2323−232300000002-20000000000000023−2300000000000000000000000000000
χ824-4-44-244-4242-4-2-4-24i−4i22-200-2-4420000000000000000000−2i2i4i−4i-22000000000000000000000−2i2i0000000000000000000000
χ834-4-44-244-4242-4-2-4-2−4i4i22-200-2-44200000000000000000002i−2i−4i4i-220000000000000000000002i−2i0000000000000000000000
χ844-4-44-24-44242-4-2-4-20022-20024-4-2000000000000000000000002-200000000000000000000000000000000−2i32i300000000000
χ854-4-44-24-44242-4-2-4-20022-20024-4-2000000000000000000000002-2000000000000000000000000000000002i3−2i300000000000
χ864-4-44-2-24-42-222-2214i−4i-1-1100-22-2223−2323−230000000000000−2i32i3−2i2i−2i2i1-100−33−33000000000000000i−ii3−i300000000000000000000
χ874-4-44-2-24-42-222-2214i−4i-1-1100-22-22−2323−232300000000000002i3−2i3−2i2i−2i2i1-1003−33−3000000000000000i−i−i3i300000000000000000000
χ884-4-44-2-24-42-222-221−4i4i-1-1100-22-2223−2323−2300000000000002i3−2i32i−2i2i−2i1-100−33−33000000000000000−ii−i3i300000000000000000000
χ894-4-44-2-24-42-222-221−4i4i-1-1100-22-22−2323−23230000000000000−2i32i32i−2i2i−2i1-1003−33−3000000000000000−iii3−i300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-40044-4-444200-22-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ9288-8-8-4-40044-4-444200-22-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ938-88-8-4800-4-84-848-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400-44444-42002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ958-88-8-4-400-44444-42002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ968-8-88-4-4-884-444-44200-2-22004-44-400000000000000000000000-22000000000000000000000000000000000000000000000

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