Finite Group Databasebeta

← Group #11887461

Character table — Group #11887461

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242422446666888826612121212121224242424242422248812121212242424246661212444446661212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111111111111111111-11-1-111-1-1111111111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-11-111-1-111-1-1-1-111111-1-11-111-1-111-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-11-1-11111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-111-1-11-1-111111-1-1-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11111-1-11-111-1-1-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-111111-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111-1-1-1-1-1111-1-1-1-111-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-11111111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222222200000000000-2-200000000-2-200-2-22200000000022000-200000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2222200000000000-2-2000000002-200-2-2-2-2000000000-2-2000200000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-200000000000-2-200000000-22002222000000000-2-2000-200000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-200000000220022-2-200000000022000200000000-200000
χ2122222-122-12-122-1-122-1-1-122-122-1-1-1-1-12200-1-1-1-122222-1-122-1-1-1-122-1-1-1-1220200-1-100-1-1-1-12-1-1-1-1000200-1-100-1-100000000
χ2222222-122-12-122-1-122-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-22-1-122-1-1-1-122-1-1-1-1-2-20-200110011112-1-1-1-1000-20011001100000000
χ2322222-122-12-122-1-122-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2-21122-1-1-1-1-2-21111-2-20200-1-1001111-211-1-10002001100-1-100000000
χ2422222-122-12-122-1-122-1-1-1-2-2-122-11111-2-20011112222-21122-1-1-1-1-2-21111220-2001100-1-1-1-1-211-1-1000-200-1-1001100000000
χ2522222-122-12-122-1-1-2-2-1-1-122-122-1-1-1-1-12200-1-1-1-12222-211-2-211-1-122-1-1-1-1-2-20200-1-100-1-1-1-1-21111000-20011001100000000
χ2622222-122-12-122-1-1-2-2-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2-211-2-211-1-122-1-1-1-1220-20011001111-21111000200-1-100-1-100000000
χ2722222-122-12-122-1-1-2-2-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-22-1-1-2-211-1-1-2-21111220200-1-10011112-1-111000-200-1-1001100000000
χ2822222-122-12-122-1-1-2-2-1-1-1-2-2-122-11111-2-200111122222-1-1-2-211-1-1-2-21111-2-20-2001100-1-1-1-12-1-1110002001100-1-100000000
χ292222-12222-12-1-12-122-1-1-1222-1-122222002200000000222-1-122-1-1-1-1-1-1-1-100202200-1-10000-1-1-1-1-100202-100-1-100-1-1000-100
χ302222-12222-12-1-12-122-1-1-1222-1-12222200-2-200000000222-1-122-1-1-1-1-1-1-1-100-20-2-200110000-1-1-1-1-100-20-2100110011000100
χ312222-12222-12-1-12-122-1-1-1-2-22-1-12-2-2-2-2002200000000-2-2-2-1-122-1-11111110020-2-200-1-10000111-1-10020-2-100-1-10011000100
χ322222-12222-12-1-12-122-1-1-1-2-22-1-12-2-2-2-200-2-200000000-2-2-2-1-122-1-111111100-202200110000111-1-100-2021001100-1-1000-100
χ332222-12222-12-1-12-1-2-2-1-1-1222-1-122222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-100202200-1-100001111100-20-2-1001100-1-1000100
χ342222-12222-12-1-12-1-2-2-1-1-1222-1-12222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-100-20-2-2001100001111100202100-1-10011000-100
χ352222-12222-12-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200220000000022211-2-2-1-11111110020-2-200-1-10000-1-1-11100-202-100110011000-100
χ362222-12222-12-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200-2-20000000022211-2-2-1-111111100-202200110000-1-1-1110020-2100-1-100-1-1000100
χ3722-2-222002-2-22-2-22002-2-2−i2i20000−i2−i2i2i22-22i−2i22-2-2−i2−i2i2i2000000000−i2i2−i2−i2i2i200002−2002i−2i−i2−i2i2i2000002i−2i00000000002−202−2000
χ3822-2-222002-2-22-2-22002-2-2−i2i20000−i2−i2i2i22-2−2i2i22-2-2−i2−i2i2i2000000000−i2i2−i2−i2i2i20000−2200−2i2i−i2−i2i2i200000−2i2i0000000000−220−22000
χ3922-2-222002-2-22-2-22002-2-2−i2i20000−i2−i2i2i2-222i−2i-2-222i2i2−i2−i2000000000−i2i2−i2−i2i2i200002−2002i−2ii2i2−i2−i200000−2i2i00000000002−20−22000
χ4022-2-222002-2-22-2-22002-2-2−i2i20000−i2−i2i2i2-22−2i2i-2-222i2i2−i2−i2000000000−i2i2−i2−i2i2i20000−2200−2i2ii2i2−i2−i2000002i−2i0000000000−2202−2000
χ4122-2-222002-2-22-2-22002-2-2i2−i20000i2i2−i2−i22-22i−2i22-2-2i2i2−i2−i2000000000i2−i2i2i2−i2−i20000−22002i−2ii2i2−i2−i2000002i−2i0000000000−220−22000
χ4222-2-222002-2-22-2-22002-2-2i2−i20000i2i2−i2−i22-2−2i2i22-2-2i2i2−i2−i2000000000i2−i2i2i2−i2−i200002−200−2i2ii2i2−i2−i200000−2i2i00000000002−202−2000
χ4322-2-222002-2-22-2-22002-2-2i2−i20000i2i2−i2−i2-222i−2i-2-222−i2−i2i2i2000000000i2−i2i2i2−i2−i20000−22002i−2i−i2−i2i2i200000−2i2i0000000000−2202−2000
χ4422-2-222002-2-22-2-22002-2-2i2−i20000i2i2−i2−i2-22−2i2i-2-222−i2−i2i2i2000000000i2−i2i2i2−i2−i200002−200−2i2i−i2−i2i2i2000002i−2i00000000002−20−22000
χ452-2-22222-2-222-2-2-222i−2i-22-2002-22-20000000000002i−2i2i−2i0002i−2i2i−2i2-20000002-2000000002i−2i2i−2i0002i−2i0000002-2000000000000
χ462-2-22222-2-222-2-2-222i−2i-22-2002-22-2000000000000−2i2i−2i2i0002i−2i2i−2i2-2000000-2200000000−2i2i−2i2i0002i−2i000000-22000000000000
χ472-2-22222-2-222-2-2-22−2i2i-22-2002-22-20000000000002i−2i2i−2i000−2i2i−2i2i2-2000000-22000000002i−2i2i−2i000−2i2i000000-22000000000000
χ482-2-22222-2-222-2-2-22−2i2i-22-2002-22-2000000000000−2i2i−2i2i000−2i2i−2i2i2-20000002-200000000−2i2i−2i2i000−2i2i0000002-2000000000000
χ492-2-222-12-212-1-2-21-12i−2i1-1100-1-2213−33−30000−i3i3−i3i32i−2i2i−2i0−i3i32i−2i−ii-11003−33−32-20000−i3i300−ii−ii0−i3i3−ii000000-11003−300000000
χ502-2-222-12-212-1-2-21-12i−2i1-1100-1-2213−33−30000i3−i3i3−i3−2i2i−2i2i0−i3i32i−2i−ii-11003−33−3-220000i3−i300i−ii−i0−i3i3−ii0000001-100−3300000000
χ512-2-222-12-212-1-2-21-12i−2i1-1100-1-221−33−330000−i3i3−i3i3−2i2i−2i2i0i3−i32i−2i−ii-1100−33−33-220000−i3i300i−ii−i0i3−i3−ii0000001-1003−300000000
χ522-2-222-12-212-1-2-21-12i−2i1-1100-1-221−33−330000i3−i3i3−i32i−2i2i−2i0i3−i32i−2i−ii-1100−33−332-20000i3−i300−ii−ii0i3−i3−ii000000-1100−3300000000
χ532-2-222-12-212-1-2-21-1−2i2i1-1100-1-2213−33−30000−i3i3−i3i32i−2i2i−2i0i3−i3−2i2ii−i-11003−33−3-220000−i3i300−ii−ii0i3−i3i−i0000001-100−3300000000
χ542-2-222-12-212-1-2-21-1−2i2i1-1100-1-2213−33−30000i3−i3i3−i3−2i2i−2i2i0i3−i3−2i2ii−i-11003−33−32-20000i3−i300i−ii−i0i3−i3i−i000000-11003−300000000
χ552-2-222-12-212-1-2-21-1−2i2i1-1100-1-221−33−330000−i3i3−i3i3−2i2i−2i2i0−i3i3−2i2ii−i-1100−33−332-20000−i3i300i−ii−i0−i3i3i−i000000-1100−3300000000
χ562-2-222-12-212-1-2-21-1−2i2i1-1100-1-221−33−330000i3−i3i3−i32i−2i2i−2i0−i3i3−2i2ii−i-1100−33−33-220000i3−i300−ii−ii0−i3i3i−i0000001-1003−300000000
χ5744444-2-4-4-24-244-2-200-2-2-2002-4-4200004400-2-2-2-20000000000022000000000-400220000000000000000000000000000000
χ5844444-2-4-4-24-244-2-200-2-2-2002-4-420000-4-40022220000000000022000000000400-2-20000000000000000000000000000000
χ594444-24-4-44-24-2-24-200-2-2-200-422-4000000440000000000000002200000000-400000-2-200000000000000200000000000000
χ604444-24-4-44-24-2-24-200-2-2-200-422-4000000-4-400000000000000022000000004000002200000000000000-200000000000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
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
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000000004-2-222221122-1-1-1-100000000000000-211-1-100000000000000000000
χ6544-4-44-200-2-424-42-200-222−2i22i20000i2i2−i2−i24-400-2-222−2i2−2i22i22i2000000000−2i22i2i2i2−i2−i20000000000i2i2−i2−i20000000000000000000000000
χ6644-4-44-200-2-424-42-200-222−2i22i20000i2i2−i2−i2-440022-2-22i22i2−2i2−2i2000000000−2i22i2i2i2−i2−i20000000000−i2−i2i2i20000000000000000000000000
χ6744-4-44-200-2-424-42-200-2222i2−2i20000−i2−i2i2i24-400-2-2222i22i2−2i2−2i20000000002i2−2i2−i2−i2i2i20000000000−i2−i2i2i20000000000000000000000000
χ6844-4-44-200-2-424-42-200-2222i2−2i20000−i2−i2i2i2-440022-2-2−2i2−2i22i22i20000000002i2−2i2−i2−i2i2i20000000000i2i2−i2−i20000000000000000000000000
χ6944-4-4-240042-4-22-4-200-222−2i22i20000−2i2−2i22i22i2004i−4i00000000000000000i2−i2i2i2−i2−i2000022−2200−2i2i000000000000000000000−22000000
χ7044-4-4-240042-4-22-4-200-222−2i22i20000−2i2−2i22i22i200−4i4i00000000000000000i2−i2i2i2−i2−i20000−2222002i−2i0000000000000000000002−2000000
χ7144-4-4-240042-4-22-4-200-2222i2−2i200002i22i2−2i2−2i2004i−4i00000000000000000−i2i2−i2−i2i2i20000−222200−2i2i0000000000000000000002−2000000
χ7244-4-4-240042-4-22-4-200-2222i2−2i200002i22i2−2i2−2i200−4i4i00000000000000000−i2i2−i2−i2i2i2000022−22002i−2i000000000000000000000−22000000
χ734-44-44400-4-4-4-444400-4-4400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ744-44-44400-4-4-4-444400-4-44000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ754-44-44-2002-42-44-2-20022-2000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ764-44-44-2002-42-44-2-20022-2000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ774-44-44-2002-42-44-2-20022-2000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ784-44-44-2002-42-44-2-20022-2000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ794-4-4444-44-444-4-4-4400-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-2-4424-2-4-42-2002-220024-4-200000000−2i32i3−2i32i3000000000002-20000000000002i3−2i30000000000000000000000000000000
χ814-4-444-2-4424-2-4-42-2002-220024-4-2000000002i3−2i32i3−2i3000000000002-2000000000000−2i32i30000000000000000000000000000000
χ824-4-44-244-4-4-2422-4-24i−4i2-220042-2-40000000000000000000−2i2i4i−4i-2200000000000000000000000−2i2i00000000000000000000
χ834-4-44-244-4-4-2422-4-2−4i4i2-220042-2-400000000000000000002i−2i−4i4i-22000000000000000000000002i−2i00000000000000000000
χ844-4-44-24-44-4-2422-4-2002-2200-4-224000000000000000000000002-200000000000000000000000000000000023−230000000000
χ854-4-44-24-44-4-2422-4-2002-2200-4-224000000000000000000000002-2000000000000000000000000000000000−23230000000000
χ864-4-44-2-24-42-2-222214i−4i-11-100-22-2223−2323−230000000000000−2i32i3−2i2i−2i2i1-100−33−33000000000000000i3−i3i−i00000000000000000000
χ874-4-44-2-24-42-2-222214i−4i-11-100-22-22−2323−232300000000000002i3−2i3−2i2i−2i2i1-1003−33−3000000000000000−i3i3i−i00000000000000000000
χ884-4-44-2-24-42-2-22221−4i4i-11-100-22-2223−2323−2300000000000002i3−2i32i−2i2i−2i1-100−33−33000000000000000−i3i3−ii00000000000000000000
χ894-4-44-2-24-42-2-22221−4i4i-11-100-22-22−2323−23230000000000000−2i32i32i−2i2i−2i1-1003−33−3000000000000000i3−i3−ii00000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-400-444-4442002-2-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ9288-8-8-4-400-444-4442002-2-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ938-88-8-4800-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4004444-4-4200-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ958-88-8-4-4004444-4-4200-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ968-8-88-4-4-884-4-4444200-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000

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