Finite Group Databasebeta

← Group #11898368

Character table — Group #11898368

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424244444888812121212266121212121212242424242424444488121212122424242466612124424466121212121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-11-1-11111-1-1-1-1-1-111111-1-1-111-1-11-1-11111-1-1-11-1-1
χ3111111111111111111111111111111-1-111111111111111111111111111-111-1-1-1-111111111111-1-11-1-111-111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-1111-1-111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-111-1-1-11-1-1-111111-1-1-111-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-111-1-11-1111-1-1-1-1-111-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-11-1-1-111-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ11111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-111-1-11-1-1111-1-1-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-11111111-1-1-1-11-11111-1-1-1-1-1-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-1-1-1111-1-1-1-1-11-1-1-1-1111111-111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-111-1-1-111111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-2-2000022-2-20000000002200000-2000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-20000-2-2-2-20000000-2-20000002-200002222000000000-2-200000-2000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222000022220000000-2-2000000-220000-2-2-2-2000000000-2-2000002000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-2000000220000-2-22200000000022000002000000-200000
χ2122222-122-12-12-12-122-1-1-1222-1-12-1-1-1-100222222-1-1-1-12-1-122-1-1-1-122-1-1-1-120220000-1-1-1-1-1-12-1-1-1-100200-1-10-1-10000000000
χ2222222-122-12-12-12-122-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-20-2-200001111112-1-1-1-100-200110110000000000
χ2322222-122-12-12-12-122-1-1-1-2-22-1-1211110022-2-2-2-2-1-1-1-1-21122-1-1-1-1-2-2111120-2-20000-1-11111-211-1-100200-1-10110000000000
χ2422222-122-12-12-12-122-1-1-1-2-22-1-12111100-2-222221111-21122-1-1-1-1-2-21111-2022000011-1-1-1-1-211-1-100-200110-1-10000000000
χ2522222-122-12-12-12-1-2-2-1-1-1222-1-12-1-1-1-100222222-1-1-1-1-211-2-211-1-122-1-1-1-120-2-20000-1-1-1-1-1-1-2111100-200110110000000000
χ2622222-122-12-12-12-1-2-2-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-21111-211-2-211-1-122-1-1-1-1-20220000111111-2111100200-1-10-1-10000000000
χ2722222-122-12-12-12-1-2-2-1-1-1-2-22-1-1211110022-2-2-2-2-1-1-1-12-1-1-2-211-1-1-2-2111120220000-1-111112-1-11100-200110-1-10000000000
χ2822222-122-12-12-12-1-2-2-1-1-1-2-22-1-12111100-2-2222211112-1-1-2-211-1-1-2-21111-20-2-2000011-1-1-1-12-1-11100200-1-10110000000000
χ292222-12222-12-12-1-122-1-1-122-122-12222220000000000222-1-122-1-1-1-1-1-1-1-1020022-1-1000000-1-1-1-1-10002200-100-1-1-1-1000-100
χ302222-12222-12-12-1-122-1-1-122-122-12222-2-20000000000222-1-122-1-1-1-1-1-1-1-10-200-2-211000000-1-1-1-1-1000-2-2001001111000100
χ312222-12222-12-12-1-122-1-1-1-2-2-122-1-2-2-2-2220000000000-2-2-2-1-122-1-11111110200-2-2-1-1000000111-1-10002-200-100-1-111000100
χ322222-12222-12-12-1-122-1-1-1-2-2-122-1-2-2-2-2-2-20000000000-2-2-2-1-122-1-11111110-2002211000000111-1-1000-220010011-1-1000-100
χ332222-12222-12-12-1-1-2-2-1-1-122-122-12222220000000000-2-2-211-2-2-1-1-1-1-1-1-1-1020022-1-100000011111000-2-200-10011-1-1000100
χ342222-12222-12-12-1-1-2-2-1-1-122-122-12222-2-20000000000-2-2-211-2-2-1-1-1-1-1-1-1-10-200-2-211000000111110002200100-1-111000-100
χ352222-12222-12-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-222000000000022211-2-2-1-11111110200-2-2-1-1000000-1-1-111000-2200-1001111000-100
χ362222-12222-12-12-1-1-2-2-1-1-1-2-2-122-1-2-2-2-2-2-2000000000022211-2-2-1-11111110-2002211000000-1-1-1110002-200100-1-1-1-1000100
χ372-22-22200-2-2-222-2200-2-222−2000022−2−22i−2i2-222−2−222-2-20000000002−222−2−20000−i2i22i−2i0022−2−2000002i−2i0000000000−i2i20−i2i2000
χ382-22-22200-2-2-222-2200-2-222−2000022−2−22i−2i-22−2−222-2-2220000000002−222−2−20000−i2i22i−2i00−2−22200000−2i2i0000000000−i2i20i2−i2000
χ392-22-22200-2-2-222-2200-2-222−2000022−2−2−2i2i2-222−2−222-2-20000000002−222−2−20000i2−i2−2i2i0022−2−200000−2i2i0000000000i2−i20i2−i2000
χ402-22-22200-2-2-222-2200-2-222−2000022−2−2−2i2i-22−2−222-2-2220000000002−222−2−20000i2−i2−2i2i00−2−222000002i−2i0000000000i2−i20−i2i2000
χ412-22-22200-2-2-222-2200-2-22−220000−2−2222i−2i2-2−2−22222-2-2000000000−22−2−2220000i2−i22i−2i00−2−222000002i−2i0000000000i2−i20i2−i2000
χ422-22-22200-2-2-222-2200-2-22−220000−2−2222i−2i-2222−2−2-2-222000000000−22−2−2220000i2−i22i−2i0022−2−200000−2i2i0000000000i2−i20−i2i2000
χ432-22-22200-2-2-222-2200-2-22−220000−2−222−2i2i2-2−2−22222-2-2000000000−22−2−2220000−i2i2−2i2i00−2−22200000−2i2i0000000000−i2i20−i2i2000
χ442-22-22200-2-2-222-2200-2-22−220000−2−222−2i2i-2222−2−2-2-222000000000−22−2−2220000−i2i2−2i2i0022−2−2000002i−2i0000000000−i2i20i2−i2000
χ452-2-22222-22-2-2-2-2222i−2i-22-2002-22-2000000002-22-200000002i−2i2i−2i2-2000000002i−2i0000002-22-20002i−2i000000002i−2i0000000000
χ462-2-22222-22-2-2-2-2222i−2i-22-2002-22-200000000-22-2200000002i−2i2i−2i2-200000000−2i2i000000-22-220002i−2i00000000−2i2i0000000000
χ472-2-22222-22-2-2-2-222−2i2i-22-2002-22-2000000002-22-20000000−2i2i−2i2i2-200000000−2i2i0000002-22-2000−2i2i00000000−2i2i0000000000
χ482-2-22222-22-2-2-2-222−2i2i-22-2002-22-200000000-22-220000000−2i2i−2i2i2-2000000002i−2i000000-22-22000−2i2i000000002i−2i0000000000
χ492-2-222-12-2-1-21-212-12i−2i1-110021-1-23−33−300002-22-23−33−30−i3i32i−2i−ii-11003−33−3002i−2i00003−3-11-110−i3i3−ii00000−i3i30−ii0000000000
χ502-2-222-12-2-1-21-212-12i−2i1-110021-1-23−33−30000-22-22−33−330−i3i32i−2i−ii-11003−33−300−2i2i0000−331-11-10−i3i3−ii00000i3−i30i−i0000000000
χ512-2-222-12-2-1-21-212-12i−2i1-110021-1-2−33−3300002-22-2−33−330i3−i32i−2i−ii-1100−33−33002i−2i0000−33-11-110i3−i3−ii00000i3−i30−ii0000000000
χ522-2-222-12-2-1-21-212-12i−2i1-110021-1-2−33−330000-22-223−33−30i3−i32i−2i−ii-1100−33−3300−2i2i00003−31-11-10i3−i3−ii00000−i3i30i−i0000000000
χ532-2-222-12-2-1-21-212-1−2i2i1-110021-1-23−33−300002-22-23−33−30i3−i3−2i2ii−i-11003−33−300−2i2i00003−3-11-110i3−i3i−i00000i3−i30i−i0000000000
χ542-2-222-12-2-1-21-212-1−2i2i1-110021-1-23−33−30000-22-22−33−330i3−i3−2i2ii−i-11003−33−3002i−2i0000−331-11-10i3−i3i−i00000−i3i30−ii0000000000
χ552-2-222-12-2-1-21-212-1−2i2i1-110021-1-2−33−3300002-22-2−33−330−i3i3−2i2ii−i-1100−33−3300−2i2i0000−33-11-110−i3i3i−i00000−i3i30i−i0000000000
χ562-2-222-12-2-1-21-212-1−2i2i1-110021-1-2−33−330000-22-223−33−30−i3i3−2i2ii−i-1100−33−33002i−2i00003−31-11-10−i3i3i−i00000i3−i30−ii0000000000
χ5744444-2-4-4-24-24-24-200-2-2-200-422-4000000440000-2-2-2-2000000022000000-400000002200000000000000000000000000000
χ5844444-2-4-4-24-24-24-200-2-2-200-422-4000000-4-40000222200000002200000040000000-2-200000000000000000000000000000
χ594444-24-4-44-24-24-2-200-2-2-2002-4-4200004400000000000000000220000000-40000-2-20000000000000000002000000000000
χ604444-24-4-44-24-24-2-200-2-2-2002-4-420000-4-4000000000000000002200000004000022000000000000000000-2000000000000
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
χ6544-4-44400-444-4-4-44004-4-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-44400-444-4-4-44004-4-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ6744-4-44-20024-2-42-4-200-2220000006−6−66000022−22−222223−23−2323000000000006−6−660000000000−222−20000000000000000000000000
χ6844-4-44-20024-2-42-4-200-2220000006−6−660000−222222−22−232323−23000000000006−6−6600000000002−2−220000000000000000000000000
χ6944-4-44-20024-2-42-4-200-222000000−666−6000022−22−2222−232323−2300000000000−666−60000000000−222−20000000000000000000000000
χ7044-4-44-20024-2-42-4-200-222000000−666−60000−222222−2223−23−232300000000000−666−600000000002−2−220000000000000000000000000
χ714-44-44-2002-424-2-4-20022-222−220000−2−222004-42222−22−22-2-22200000000022−22−2−2220000000000−2−2220000000000000000000000000
χ724-44-44-2002-424-2-4-20022-222−220000−2−22200-44−22−22222222-2-200000000022−22−2−222000000000022−2−20000000000000000000000000
χ734-44-44-2002-424-2-4-20022-2−2222000022−2−2004-4−22−222222-2-222000000000−222222−2−2000000000022−2−20000000000000000000000000
χ744-44-44-2002-424-2-4-20022-2−2222000022−2−200-442222−22−2222-2-2000000000−222222−2−20000000000−2−2220000000000000000000000000
χ754-44-4-2400-42-4-242-20022-222−2200002222−22−224i−4i0000000000000000000−22−2−2220000−2i22i2−2i2i00000000000000000000000i2−i2000000
χ764-44-4-2400-42-4-242-20022-222−2200002222−22−22−4i4i0000000000000000000−22−2−22200002i2−2i22i−2i00000000000000000000000−i2i2000000
χ774-44-4-2400-42-4-242-20022-2−22220000−22−2222224i−4i00000000000000000002−222−2−200002i2−2i2−2i2i00000000000000000000000−i2i2000000
χ784-44-4-2400-42-4-242-20022-2−22220000−22−222222−4i4i00000000000000000002−222−2−20000−2i22i22i−2i00000000000000000000000i2−i2000000
χ794-4-4444-444-4-4-4-44400-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-2-44-2-42-424-2002-2200-4-22400000000000023−2323−2300000002-200000000000000−232300000000000000000000000000000
χ814-4-444-2-44-2-42-424-2002-2200-4-224000000000000−2323−232300000002-20000000000000023−2300000000000000000000000000000
χ824-4-44-244-442-42-4-2-24i−4i2-2200-2-4420000000000000000000−2i2i4i−4i-2200000000000000000000000−2i2i00000000000000000000
χ834-4-44-244-442-42-4-2-2−4i4i2-2200-2-44200000000000000000002i−2i−4i4i-22000000000000000000000002i−2i00000000000000000000
χ844-4-44-24-4442-42-4-2-2002-220024-4-2000000000000000000000002-200000000000000000000000000000000000−2i32i300000000
χ854-4-44-24-4442-42-4-2-2002-220024-4-2000000000000000000000002-2000000000000000000000000000000000002i3−2i300000000
χ864-4-44-2-24-4-22222-214i−4i-11-100-22-2223−2323−230000000000000−2i32i3−2i2i−2i2i1-100−33−33000000000000000i3−i3i−i00000000000000000000
χ874-4-44-2-24-4-22222-214i−4i-11-100-22-22−2323−232300000000000002i3−2i3−2i2i−2i2i1-1003−33−3000000000000000−i3i3i−i00000000000000000000
χ884-4-44-2-24-4-22222-21−4i4i-11-100-22-2223−2323−2300000000000002i3−2i32i−2i2i−2i1-100−33−33000000000000000−i3i3−ii00000000000000000000
χ894-4-44-2-24-4-22222-21−4i4i-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
χ9188-8-8-4800-8-484-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4004-4-44442002-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ9388-8-8-4-4004-4-44442002-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ948-88-8-4-400444-4-44200-2-2242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ958-88-8-4-400444-4-44200-2-22−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ968-8-88-4-4-88-44444-4200-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000

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