Finite Group Databasebeta

← Group #11775088

Character table — Group #11775088

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order1222223344666666444434666666612121212121244441212121244661212121212121212124444488881212121212121212121212124412121212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-1111111111111-1-1-1111-111-1-1-1-1-1-1-1-111111-1-1-1111-1-111-1-11ii−i−iii−i−i-1-111-1-1-11-1-111-11-1-111ii−i−iii−i−iii−i−iii−i−i
χ101111-1-111-1-1111111111111-1-1-1111-111-1-1-1-1-1-1-1-111111-1-1-1111-1-111-1-11−i−iii−i−iii-1-111-1-1-11-1-111-11-1-111−i−iii−i−iii−i−iii−i−iii
χ111111-1-111-1-1111111111111-1-1-1111-111-1-1-1-1-1-1-1-11111-11-1-11-1-11111-1-11ii−i−i−i−iii-1-111-1-11-111-1-11-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ121111-1-111-1-1111111111111-1-1-1111-111-1-1-1-1-1-1-1-11111-11-1-11-1-11111-1-11−i−iiiii−i−i-1-111-1-11-111-1-11-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ131111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-11111-1-1-1-11-1-1-1111-1-111-1-1-1ii−i−iii−i−i11-1-111-11-1-1111-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ141111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-11111-1-1-1-11-1-1-1111-1-111-1-1-1−i−iii−i−iii11-1-111-11-1-1111-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ151111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1ii−i−i−i−iii11-1-1111-111-1-1-11-1-111ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-11111-1-1-1-1-11-1-11-1-11111-1-1-1−i−iiiii−i−i11-1-1111-111-1-1-11-1-111−i−iiiii−i−iii−i−i−i−iii
χ1722222222-2-222222222222-22222222-2-2-2-2-2-222-2-222220022-20000-2-2-2-2-20000000022-2-2-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-222-2-2-2-20022-20000-2-2-2-2200000000-2-222220000000000000000000000000000
χ192222222-122222-1-1-12222-122-1-1-1-1-12-1-1-1-1222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1200000000-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000000000
χ202222222-122222-1-1-12222-122-1-1-1-1-12-1-1-1-1222222-1-1-1-1-2-2-1-121111-1-1-1-1200000000-1-1-1-1-1-1-2-21111-2-211110000000000000000
χ212222222-122222-1-1-1-2-2-2-2-122-1-1-1-1-12-1-1-1-122-2-2-2-2111122-1-12-1-1-1-1-1-1-1-1-20000000011111122-1-1-1-1-2-211110000000000000000
χ222222222-122222-1-1-1-2-2-2-2-122-1-1-1-1-12-1-1-1-122-2-2-2-21111-2-2-1-121111-1-1-1-1-200000000111111-2-2111122-1-1-1-10000000000000000
χ232222222-1-2-2222-1-1-12222-1-22-1-1-1-1-121111-2-222-2-2-1-1-1-100-1-1-2−i3i3−i3i31111-200000000-1-1111100−i3i3−i3i300−i3i3−i3i30000000000000000
χ242222222-1-2-2222-1-1-12222-1-22-1-1-1-1-121111-2-222-2-2-1-1-1-100-1-1-2i3−i3i3−i31111-200000000-1-1111100i3−i3i3−i300i3−i3i3−i30000000000000000
χ252222222-1-2-2222-1-1-1-2-2-2-2-1-22-1-1-1-1-121111-2-2-2-222111100-1-1-2−i3i3−i3i3111120000000011-1-1-1-100−i3i3−i3i300i3−i3i3−i30000000000000000
χ262222222-1-2-2222-1-1-1-2-2-2-2-1-22-1-1-1-1-121111-2-2-2-222111100-1-1-2i3−i3i3−i3111120000000011-1-1-1-100i3−i3i3−i300−i3i3−i3i30000000000000000
χ27222222-1222-1-1-12220000-12-122-1-1-1-12222-1-10000000022-1-1-12222-1-1-1-1022222222000000-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ28222222-1222-1-1-12220000-12-122-1-1-1-12222-1-10000000022-1-1-12222-1-1-1-10-2-2-2-2-2-2-2-2000000-1-1-1-1-1-10000001111111100000000
χ29222222-1222-1-1-12220000-12-122-1-1-1-12222-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-102222-2-2-2-2000000111111000000-1-1-1-1111100000000
χ30222222-1222-1-1-12220000-12-122-1-1-1-12222-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-10-2-2-2-222220000001111110000001111-1-1-1-100000000
χ312222-2-2222222222222222-2-2-2-2222-2-2-22222-2-222222200-2-2-20000-2-222-200000000-2-2-2-2220000000000000000000000000000
χ322222-2-22222222222-2-2-2-22-2-2-2-2222-2-2-2222222-2-2-2-2-2-200-2-2-20000-2-2222000000002222-2-20000000000000000000000000000
χ332222-2-22-122222-1-1-12222-1-2-211-1-1-1-211-1-122-2-222-1-1-1-10011-2−i3i3i3−i311-1-1-2000000001111-1-100i3−i3−i3i300i3−i3−i3i30000000000000000
χ342222-2-22-122222-1-1-12222-1-2-211-1-1-1-211-1-122-2-222-1-1-1-10011-2i3−i3−i3i311-1-1-2000000001111-1-100−i3i3i3−i300−i3i3i3−i30000000000000000
χ352222-2-22-122222-1-1-1-2-2-2-2-1-2-211-1-1-1-211-1-12222-2-211110011-2−i3i3i3−i311-1-1200000000-1-1-1-11100i3−i3−i3i300−i3i3i3−i30000000000000000
χ362222-2-22-122222-1-1-1-2-2-2-2-1-2-211-1-1-1-211-1-12222-2-211110011-2i3−i3−i3i311-1-1200000000-1-1-1-11100−i3i3i3−i300i3−i3−i3i30000000000000000
χ372222-2-22-1-2-2222-1-1-12222-12-211-1-1-1-2-1-111-2-2-2-2-2-2-1-1-1-12-2112-1-111-1-11120000000011-1-111-2211-1-1-2211-1-10000000000000000
χ382222-2-22-1-2-2222-1-1-12222-12-211-1-1-1-2-1-111-2-2-2-2-2-2-1-1-1-1-2211211-1-1-1-11120000000011-1-1112-2-1-1112-2-1-1110000000000000000
χ392222-2-22-1-2-2222-1-1-1-2-2-2-2-12-211-1-1-1-2-1-111-2-2222211112-2112-1-111-1-111-200000000-1-111-1-1-2211-1-12-2-1-1110000000000000000
χ402222-2-22-1-2-2222-1-1-1-2-2-2-2-12-211-1-1-1-2-1-111-2-222221111-2211211-1-1-1-111-200000000-1-111-1-12-2-1-111-2211-1-10000000000000000
χ412222-2-2-12-2-2-1-1-12220000-121-2-2-1-1-1122-2-211000000002-211-122-2-2-1-11102i2i−2i−2i2i2i−2i−2i0000001-111-1-1000000−i−iii−i−iii00000000
χ422222-2-2-12-2-2-1-1-12220000-121-2-2-1-1-1122-2-211000000002-211-122-2-2-1-1110−2i−2i2i2i−2i−2i2i2i0000001-111-1-1000000ii−i−iii−i−i00000000
χ432222-2-2-12-2-2-1-1-12220000-121-2-2-1-1-1122-2-21100000000-2211-1-2-222-1-11102i2i−2i−2i−2i−2i2i2i000000-11-1-111000000−i−iiiii−i−i00000000
χ442222-2-2-12-2-2-1-1-12220000-121-2-2-1-1-1122-2-21100000000-2211-1-2-222-1-1110−2i−2i2i2i2i2i−2i−2i000000-11-1-111000000ii−i−i−i−iii00000000
χ4522-2-22-222002-2-22-2-222-2-22022-22-2-2-20000002-20022-2-2002-2000000000000002−22−22-2000000000000000000002−22−200002−22−2
χ4622-2-22-222002-2-22-2-222-2-22022-22-2-2-20000002-20022-2-2002-200000000000000−22−222-200000000000000000000−22−220000−22−22
χ4722-2-22-222002-2-22-2-2-2-2222022-22-2-2-2000000-2200-2-222002-2000000000000002−22−2-22000000000000000000002−22−20000−22−22
χ4822-2-22-222002-2-22-2-2-2-2222022-22-2-2-2000000-2200-2-222002-200000000000000−22−22-2200000000000000000000−22−2200002−22−2
χ4922-2-2-2222002-2-22-2-222-2-220-2-222-2-22000000-220022-2-200-2200000000000000−i2i2i2−i2-2200000000000000000000−i2i2i2−i20000−i2i2i2−i2
χ5022-2-2-2222002-2-22-2-222-2-220-2-222-2-22000000-220022-2-200-2200000000000000i2−i2−i2i2-2200000000000000000000i2−i2−i2i20000i2−i2−i2i2
χ5122-2-2-2222002-2-22-2-2-2-22220-2-222-2-220000002-200-2-22200-2200000000000000−i2i2i2−i22-200000000000000000000−i2i2i2−i20000i2−i2−i2i2
χ5222-2-2-2222002-2-22-2-2-2-22220-2-222-2-220000002-200-2-22200-2200000000000000i2−i2−i2i22-200000000000000000000i2−i2−i2i20000−i2i2i2−i2
χ532-2-2200222i−2i-22-2-2-222i−2i2i−2i20000-22-20002i−2i2i−2i002-22i−2i2i−2i000000000002i−2i01+i−1−i1−i−1+i000000002-20000000000001+i−1−i1−i−1+i00001−i−1+i1+i−1−i0000
χ542-2-2200222i−2i-22-2-2-222i−2i2i−2i20000-22-20002i−2i2i−2i002-22i−2i2i−2i000000000002i−2i0−1−i1+i−1+i1−i000000002-2000000000000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i0000
χ552-2-2200222i−2i-22-2-2-22−2i2i−2i2i20000-22-20002i−2i2i−2i00-22−2i2i−2i2i000000000002i−2i01+i−1−i1−i−1+i00000000-220000000000001+i−1−i1−i−1+i0000−1+i1−i−1−i1+i0000
χ562-2-2200222i−2i-22-2-2-22−2i2i−2i2i20000-22-20002i−2i2i−2i00-22−2i2i−2i2i000000000002i−2i0−1−i1+i−1+i1−i00000000-22000000000000−1−i1+i−1+i1−i00001−i−1+i1+i−1−i0000
χ572-2-220022−2i2i-22-2-2-222i−2i2i−2i20000-22-2000−2i2i−2i2i00-222i−2i2i−2i00000000000−2i2i01−i−1+i1+i−1−i00000000-220000000000001−i−1+i1+i−1−i0000−1−i1+i−1+i1−i0000
χ582-2-220022−2i2i-22-2-2-222i−2i2i−2i20000-22-2000−2i2i−2i2i00-222i−2i2i−2i00000000000−2i2i0−1+i1−i−1−i1+i00000000-22000000000000−1+i1−i−1−i1+i00001+i−1−i1−i−1+i0000
χ592-2-220022−2i2i-22-2-2-22−2i2i−2i2i20000-22-2000−2i2i−2i2i002-2−2i2i−2i2i00000000000−2i2i01−i−1+i1+i−1−i000000002-20000000000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i0000
χ602-2-220022−2i2i-22-2-2-22−2i2i−2i2i20000-22-2000−2i2i−2i2i002-2−2i2i−2i2i00000000000−2i2i0−1+i1−i−1−i1+i000000002-2000000000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i0000
χ61444444-24-4-4-2-2-24440000-2-4-244-2-2-2-2-4-4-4-4220000000000-2-22000022220000000000000000000000000000000000000000000
χ62444444-2-244-2-2-2-2-2-2000014-2-2-2111-2-2-2-2-2-2-2000000004411-2-2-2-2-21111000000000000000-2-211110000000000000000000000
χ63444444-2-244-2-2-2-2-2-2000014-2-2-2111-2-2-2-2-2-2-200000000-4-411-22222111100000000000000022-1-1-1-10000000000000000000000
χ64444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2111-22222220000000000112−2i32i3−2i32i3-1-1-1-100000000000000000i3−i3i3−i30000000000000000000000
χ65444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2111-222222200000000001122i3−2i32i3−2i3-1-1-1-100000000000000000−i3i3−i3i30000000000000000000000
χ664444-4-4-2444-2-2-24440000-2-42-4-4-2-2-22-4-444-2-20000000000222000022-2-20000000000000000000000000000000000000000000
χ674444-4-4-2-244-2-2-2-2-2-200001-4222111222-2-2-2-20000000000-1-12−2i32i32i3−2i3-1-11100000000000000000−i3i3i3−i30000000000000000000000
χ684444-4-4-2-244-2-2-2-2-2-200001-4222111222-2-2-2-20000000000-1-122i3−2i3−2i32i3-1-11100000000000000000i3−i3−i3i30000000000000000000000
χ694444-4-4-2-2-4-4-2-2-2-2-2-20000142221112-2-22222000000004-4-1-1-2-2-22211-1-10000000000000002-2-1-1110000000000000000000000
χ704444-4-4-2-2-4-4-2-2-2-2-2-20000142221112-2-2222200000000-44-1-1-222-2-211-1-1000000000000000-2211-1-10000000000000000000000
χ7144-4-44-44-2004-4-4-22244-4-4-204-22-222-40000004-400-2-22200-22000000000000000000-2200000000000000000000000000000000
χ7244-4-44-44-2004-4-4-222-4-444-204-22-222-4000000-440022-2-200-220000000000000000002-200000000000000000000000000000000
χ7344-4-44-4-2400-2224-4-40000-20-24-4-22220000000000000000-220000000000000022−2222−220000000000000000000000−22−2200000000
χ7444-4-44-4-2400-2224-4-40000-20-24-4-22220000000000000000-2200000000000000−2222−222200000000000000000000002−22−200000000
χ7544-4-4-444-2004-4-4-22244-4-4-20-42-2-2224000000-4400-2-222002-20000000000000000002-200000000000000000000000000000000
χ7644-4-4-444-2004-4-4-222-4-444-20-42-2-22240000004-40022-2-2002-2000000000000000000-2200000000000000000000000000000000
χ7744-4-4-44-2400-2224-4-40000-202-44-222-200000000000000002-200000000000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000
χ7844-4-4-44-2400-2224-4-40000-202-44-222-200000000000000002-2000000000000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000
χ794-44-4004400-4-44-44-44i−4i−4i4i40000-4-44000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-4004400-4-44-44-4−4i4i4i−4i40000-4-4400000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-4004-200-4-442-224i−4i−4i4i-2000022-20−2i32i300000000−2i2i2i−2i000000000−2i32i3000000000000023−23000000000000000000000000000000
χ824-44-4004-200-4-442-224i−4i−4i4i-2000022-202i3−2i300000000−2i2i2i−2i0000000002i3−2i30000000000000−2323000000000000000000000000000000
χ834-44-4004-200-4-442-22−4i4i4i−4i-2000022-20−2i32i3000000002i−2i−2i2i000000000−2i32i30000000000000−2323000000000000000000000000000000
χ844-44-4004-200-4-442-22−4i4i4i−4i-2000022-202i3−2i3000000002i−2i−2i2i0000000002i3−2i3000000000000023−23000000000000000000000000000000
χ854-4-44004-24i−4i-44-422-24i−4i4i−4i-200002-22000−2i2i4i−4i004-4−2i2i−2i2i00000000000−2i2i0000000000000-220000000000000000000000000000
χ864-4-44004-24i−4i-44-422-2−4i4i−4i4i-200002-22000−2i2i4i−4i00-442i−2i2i−2i00000000000−2i2i00000000000002-20000000000000000000000000000
χ874-4-44004-2−4i4i-44-422-24i−4i4i−4i-200002-220002i−2i−4i4i00-44−2i2i−2i2i000000000002i−2i00000000000002-20000000000000000000000000000
χ884-4-44004-2−4i4i-44-422-2−4i4i−4i4i-200002-220002i−2i−4i4i004-42i−2i2i−2i000000000002i−2i0000000000000-220000000000000000000000000000
χ894-4-4400-244i−4i2-22-4-440000-200002-220004i−4i−2i2i0000000000000000000−2i2i02+2i−2−2i2−2i−2+2i0000000000000000000000−1−i1+i−1+i1−i000000000000
χ904-4-4400-244i−4i2-22-4-440000-200002-220004i−4i−2i2i0000000000000000000−2i2i0−2−2i2+2i−2+2i2−2i00000000000000000000001+i−1−i1−i−1+i000000000000
χ914-4-4400-24−4i4i2-22-4-440000-200002-22000−4i4i2i−2i00000000000000000002i−2i02−2i−2+2i2+2i−2−2i0000000000000000000000−1+i1−i−1−i1+i000000000000
χ924-4-4400-24−4i4i2-22-4-440000-200002-22000−4i4i2i−2i00000000000000000002i−2i0−2+2i2−2i−2−2i2+2i00000000000000000000001−i−1+i1+i−1−i000000000000
χ9388-8-88-8-4-400-444-444000020-4-442-2-2400000000000000002-20000000000000000000000000000000000000000000000000000
χ9488-8-8-88-4-400-444-44400002044-42-2-2-40000000000000000-220000000000000000000000000000000000000000000000000000
χ958-88-800-480044-4-88-80000-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40044-44-44000020000-2-220−4i34i30000000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ978-88-800-4-40044-44-44000020000-2-2204i3−4i3000000000000000000000−2i32i3000000000000000000000000000000000000000000000
χ988-8-8800-4-48i−8i4-4444-4000020000-22-2000−4i4i−4i4i00000000000000000002i−2i0000000000000000000000000000000000000000000
χ998-8-8800-4-4−8i8i4-4444-4000020000-22-20004i−4i4i−4i0000000000000000000−2i2i0000000000000000000000000000000000000000000

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