Finite Group Databasebeta

← Group #11898394

Character table — Group #11898394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424244444121212124412121212121224242424444444888812121212121224242424242424241212121212124422121212124886644
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
χ3111111111111111111111111111111111111-1-111111111111111111-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1111-111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-111-1-1-1-111111-111-1-1-1-1-1111-1-1-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-11-1-1-111-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-11-1-11111-1-11111-1-11111-1-1-1-11-111-1-1-1-11-1-1-111-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-11-1-111-1-1-1111-1-1-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-111-1-111-11-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-11-1-111111-111-1-11-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-2-20000000022-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000-2200000000-2-222-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-200002-20000000022-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-200002200000000-2-222220000000000000022000000-2000000
χ2122222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-100220000222222-1-1-1-1-1-10200000022-1-1-1-1000000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-100220000-2-2-2-2-2-2-1-1-1-1-1-10200000022-1-1-1-1000000-1-1-1-111111100-2-200000001100
χ2322222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-100-2-20000222222-1-1-1-1-1-10-2000000-2-211110000001111-1-1-1-1-1-100-2-200000001100
χ2422222-1222-1-12-122222-1-1-1-12-12-12222-1-1-1-100-2-20000-2-2-2-2-2-2-1-1-1-1-1-10-2000000-2-21111000000111111111100220000000-1-100
χ2522222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200002-222-2-2-1-1111102000000-2-2-1-1-1-10000001111-11-1-111002-20000000-1100
χ2622222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100220000-22-2-222-1-1111102000000-2-2-1-1-1-100000011111-111-1-100-2200000001-100
χ2722222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200002-222-2-2-1-111110-2000000221111000000-1-1-1-1-11-1-11100-2200000001-100
χ2822222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-20000-22-2-222-1-111110-2000000221111000000-1-1-1-11-111-1-1002-20000000-1100
χ292222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1-1-1-1-120222222000000-1-1-1-1-1-1000022-1-1-1-10000-1-1-1-10000000
χ302222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-1-2-21111-1-1-1-1-1-120-2-2-2-222000000-1-1-1-1-1-10000-2-21111000011110000000
χ312222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-12222-2-200111122-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2-2000000111111000022-1-1-1-1000011110000000
χ322222-1222-122-12-12222-1-1-1-1-12-12-1-1-1-12222-2-2001111-2-21111-1-1-1-1-1-1-202222-2-20000001111110000-2-211110000-1-1-1-10000000
χ332222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-12-2-1-111-1-111112022-2-2-2-2000000-1-1111100002-2-1-1110000-1-1110000000
χ342222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-1-2211-1-1-1-1111120-2-222-2-2000000-1-111110000-2211-1-1000011-1-10000000
χ352222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-20011112-2-1-111-1-11111-20-2-2222200000011-1-1-1-100002-2-1-111000011-1-10000000
χ362222-1222-122-12-1-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2001111-2211-1-1-1-11111-2022-2-22200000011-1-1-1-10000-2211-1-10000-1-1110000000
χ372-22-22200-22-2-2-2222−2−222-2-2000022−2−222−2−22i−2i2i−2i2i2i−2i−2i0000000022−2−2000000−i2i2−i2i22i−2i0000−i2−i2i2i2−i2−i2i2i20000002-200000002−20000
χ382-22-22200-22-2-2-2222−2−222-2-2000022−2−222−2−22i−2i−2i2i2i2i−2i−2i0000000022−2−2000000−i2i2i2−i2−2i2i0000−i2−i2i2i2i2i2−i2−i2000000-220000000−220000
χ392-22-22200-22-2-2-2222−2−222-2-2000022−2−222−2−2−2i2i2i−2i−2i−2i2i2i0000000022−2−2000000i2−i2−i2i22i−2i0000i2i2−i2−i2−i2−i2i2i2000000-220000000−220000
χ402-22-22200-22-2-2-2222−2−222-2-2000022−2−222−2−2−2i2i−2i2i−2i−2i2i2i0000000022−2−2000000i2−i2i2−i2−2i2i0000i2i2−i2−i2i2i2−i2−i20000002-200000002−20000
χ412-22-22200-22-2-2-22−2−22222-2-20000−2−222−2−2222i−2i2i−2i2i2i−2i−2i00000000−2−222000000i2−i2i2−i22i−2i0000i2i2−i2−i2i2i2−i2−i20000002-20000000−220000
χ422-22-22200-22-2-2-22−2−22222-2-20000−2−222−2−2222i−2i−2i2i2i2i−2i−2i00000000−2−222000000i2−i2−i2i2−2i2i0000i2i2−i2−i2−i2−i2i2i2000000-2200000002−20000
χ432-22-22200-22-2-2-22−2−22222-2-20000−2−222−2−222−2i2i2i−2i−2i−2i2i2i00000000−2−222000000−i2i2i2−i22i−2i0000−i2−i2i2i2i2i2−i2−i2000000-2200000002−20000
χ442-22-22200-22-2-2-22−2−22222-2-20000−2−222−2−222−2i2i−2i2i−2i−2i2i2i00000000−2−222000000−i2i2−i2i2−2i2i0000−i2−i2i2i2−i2−i2i2i20000002-20000000−220000
χ452-2-22222-2-2-2-222-22-22-22-2-2222-2-22-22-22-22-200000000000000-222-22-2002i−2i2i−2i00000000000000000000000000002i−2i2i−2i0000000
χ462-2-22222-2-2-2-222-22-22-22-2-2222-2-22-22-22-22-200000000000000-222-22-200−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i0000000
χ472-2-22222-2-2-2-222-2-22-222-2-2222-2-2-22-22-22-2200000000000000-22-22-22002i−2i−2i2i00000000000000000000000000002i−2i−2i2i0000000
χ482-2-22222-2-2-2-222-2-22-222-2-2222-2-2-22-22-22-2200000000000000-22-22-2200−2i2i2i−2i0000000000000000000000000000−2i2i2i−2i0000000
χ492-2-22-122-21-2-2-1212-22-2-111-1-121-2-11-112-22-200003−33−300−i3i3−i3i31-1-11-11002i−2i2i−2i000000003−33−33−3000000−i3i3−i3i30000−ii−ii0000000
χ502-2-22-122-21-2-2-1212-22-2-111-1-121-2-11-112-22-200003−33−300i3−i3i3−i31-1-11-1100−2i2i−2i2i000000003−33−33−3000000i3−i3i3−i30000i−ii−i0000000
χ512-2-22-122-21-2-2-1212-22-2-111-1-121-2-11-112-22-20000−33−3300−i3i3−i3i31-1-11-1100−2i2i−2i2i00000000−33−33−33000000−i3i3−i3i30000i−ii−i0000000
χ522-2-22-122-21-2-2-1212-22-2-111-1-121-2-11-112-22-20000−33−3300i3−i3i3−i31-1-11-11002i−2i2i−2i00000000−33−33−33000000i3−i3i3−i30000−ii−ii0000000
χ532-2-22-122-21-2-2-121-22-22-111-1-121-21-11-1-22-2200003−33−300−i3i3i3−i31-11-11-1002i−2i−2i2i000000003−3−33−33000000−i3i3i3−i30000−iii−i0000000
χ542-2-22-122-21-2-2-121-22-22-111-1-121-21-11-1-22-2200003−33−300i3−i3−i3i31-11-11-100−2i2i2i−2i000000003−3−33−33000000i3−i3−i3i30000i−i−ii0000000
χ552-2-22-122-21-2-2-121-22-22-111-1-121-21-11-1-22-220000−33−3300−i3i3i3−i31-11-11-100−2i2i2i−2i00000000−333−33−3000000−i3i3i3−i30000i−i−ii0000000
χ562-2-22-122-21-2-2-121-22-22-111-1-121-21-11-1-22-220000−33−3300i3−i3−i3i31-11-11-1002i−2i−2i2i00000000−333−33−3000000i3−i3−i3i30000−iii−i0000000
χ5744444-2-4-44-2-24-240000-2-2-2-2-42-4200000000004400000000002200000-400000000-2-2220000000000000000000000000000000
χ5844444-2-4-44-2-24-240000-2-2-2-2-42-420000000000-4-40000000000220000040000000022-2-20000000000000000000000000000000
χ594444-24-4-4-244-24-20000-2-2-2-22-42-4000000004400-2-2-2-2000000220000-400000000000002200000000000000000000000000000
χ604444-24-4-4-244-24-20000-2-2-2-22-42-400000000-4-400222200000022000040000000000000-2-200000000000000000000000000000
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
χ6544-4-444004-44-4-4-422−22−22224-44-4000022−22−222222−22−2222000000000000000022−22−2222000000000000000000000000000000000000000000000
χ6644-4-444004-44-4-4-4−222222−224-44-40000−222222−22−222222−220000000000000000−222222−22000000000000000000000000000000000000000000000
χ6744-4-44-20042-2-42-422−22−2222-22-22000022−22−2222−222−20000000000000000−222−200000000000023−230000006−66−6000000000000000000000
χ6844-4-44-20042-2-42-422−22−2222-22-22000022−22−2222−222−20000000000000000−222−2000000000000−2323000000−66−66000000000000000000000
χ6944-4-44-20042-2-42-4−222222−22-22-220000−222222−222−2−2200000000000000002−2−2200000000000023−23000000−66−66000000000000000000000
χ7044-4-44-20042-2-42-4−222222−22-22-220000−222222−222−2−2200000000000000002−2−22000000000000−23230000006−66−6000000000000000000000
χ7144-4-4-2400-2-442-4222−22−2222-22-220000−222−222−22−22220000−2i32i32i3−2i300000000−222−20000000000000000i6−i6−i6i60000000000000000000000000
χ7244-4-4-2400-2-442-4222−22−2222-22-220000−222−222−22−222200002i3−2i3−2i32i300000000−222−20000000000000000−i6i6i6−i60000000000000000000000000
χ7344-4-4-2400-2-442-42−222222−22-22-2200002−2−22−222222−220000−2i32i32i3−2i3000000002−2−220000000000000000−i6i6i6−i60000000000000000000000000
χ7444-4-4-2400-2-442-42−222222−22-22-2200002−2−22−222222−2200002i3−2i3−2i32i3000000002−2−220000000000000000i6−i6−i6i60000000000000000000000000
χ754-44-44-200-4-22-4242222−22−22-2-22200002222−22−22−2−222004i−4i000000000000−2−22200000000−2i22i2−2i2i00000000i2i2−i2−i2000000000000000000000
χ764-44-44-200-4-22-4242222−22−22-2-22200002222−22−22−2−22200−4i4i000000000000−2−222000000002i2−2i22i−2i00000000−i2−i2i2i2000000000000000000000
χ774-44-44-200-4-22-424−22−222222-2-2220000−22−22222222−2−2004i−4i00000000000022−2−2000000002i2−2i2−2i2i00000000−i2−i2i2i2000000000000000000000
χ784-44-44-200-4-22-424−22−222222-2-2220000−22−22222222−2−200−4i4i00000000000022−2−200000000−2i22i22i−2i00000000i2i2−i2−i2000000000000000000000
χ794-44-4-240024-42-4-22222−22−22-2-2220000−2−2222222−22−224i−4i00−2i−2i2i2i00000000−2−222000000−2i22i200000000i2i2−i2−i20000000000000000000000000
χ804-44-4-240024-42-4-22222−22−22-2-2220000−2−2222222−22−22−4i4i002i2i−2i−2i00000000−2−2220000002i2−2i200000000−i2−i2i2i20000000000000000000000000
χ814-44-4-240024-42-4-2−22−222222-2-222000022−2−2−22−2222224i−4i00−2i−2i2i2i0000000022−2−20000002i2−2i200000000−i2−i2i2i20000000000000000000000000
χ824-44-4-240024-42-4-2−22−222222-2-222000022−2−2−22−222222−4i4i002i2i−2i−2i0000000022−2−2000000−2i22i200000000i2i2−i2−i20000000000000000000000000
χ834-4-4444-44-4-4-444-400004-4-44-4-44400000000000000000000004-40000000000000000000000000000000000000000000000000
χ844-4-444-24-4-4224-2-44-44-4-222-24-2-424-44-4-22-22000000000000002-2-22-22000000000000000000000000000000000000000000000
χ854-4-444-24-4-4224-2-4-44-44-222-24-2-42-44-442-22-2000000000000002-22-22-2000000000000000000000000000000000000000000000
χ864-4-444-2-44-4224-2-40000-222-2-424-20000000000000000000000-22000000000000000000000000−2i32i32i3−2i3000000000000000000000
χ874-4-444-2-44-4224-2-40000-222-2-424-20000000000000000000000-220000000000000000000000002i3−2i3−2i32i3000000000000000000000
χ884-4-44-24-442-4-4-2420000-222-22-4-2400000000000023−2323−23000000-22000000000000000000−232300000000000000000000000000000
χ894-4-44-24-442-4-4-2420000-222-22-4-24000000000000−2323−2323000000-2200000000000000000023−2300000000000000000000000000000
χ904-4-44-2-24-4222-2-224-44-41-1-11-2-222-22-22-22-220000000000−2i32i3−2i32i3-111-11-100000000000000000000000000i3−i3i3−i3000000000000000
χ914-4-44-2-24-4222-2-224-44-41-1-11-2-222-22-22-22-2200000000002i3−2i32i3−2i3-111-11-100000000000000000000000000−i3i3−i3i3000000000000000
χ924-4-44-2-24-4222-2-22-44-441-1-11-2-2222-22-22-22-20000000000−2i32i32i3−2i3-11-11-1100000000000000000000000000i3−i3−i3i3000000000000000
χ934-4-44-2-24-4222-2-22-44-441-1-11-2-2222-22-22-22-200000000002i3−2i3−2i32i3-11-11-1100000000000000000000000000−i3i3i3−i3000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-44-444442−42−42422-22-20000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ9688-8-8-4-400-44-4444−424242−422-22-2000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000
χ978-88-8-4-4004-4444-44242−42−4222-2-20000−22−222222−22−222222000000000000000022−2−2000000000000000000000000000000000000000000000
χ988-88-8-4-4004-4444-4−42−42424222-2-200002222−22−222222−22−220000000000000000−2−222000000000000000000000000000000000000000000000
χ998-8-88-4-4-88444-4-4400002-2-2244-4-400000000000000000000002-20000000000000000000000000000000000000000000000000

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