Finite Group Databasebeta

← Group #11869661

Character table — Group #11869661

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order1222223344666666444434666666612121212121222441212121244661212121212121212122444466668888121212121212121224661212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-111-1-11-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ91111-1-1111111111111111-1-1-1-1-111111-1-11111-1-111111-1-1-1-1-1-11111-1-1-111-1-111-1-111-1-1-1-11-1-1-1111-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1111111111111111-1-1-1-1-111111-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-11-1-1-1111-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-1111111111111111-1-1-1-1-111111-1-11111-1-11111-11-1-111-1-1-111-1-1-111-1-111-1-1-1-111-1-1-1111-1-1-11-1-11111-1-1-1-11111-1-1-1-111
χ121111-1-1111111111111111-1-1-1-1-111111-1-11111-1-11111-11-1-111-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1111-1-1-11-1-111-1-11111-1-1-1-11111-1-1
χ131111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-11-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1111-1-1-111-11-1-11111-1-111-1-1-1-111-1-111
χ141111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-11-1-1-1-1-1-11111-1-11-1-111-1-111-1-111111-1-1-111-11-1-111-1-111-1-11111-1-111-1-1
χ151111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-1-11-1-111-1-1-111-1-1111-1-1-1-111-1-11111-1111-1-11-111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-1-11-1-111-1-1-111-1-11-1-111-1-11111-1-111-1111-1-11-111-1-1-1-11111-1-111-1-1-1-111
χ1722222222-2-222222222222-22222222-2-2-2-2-2-2-2-2222222002200-200-2-2-2-2-20000-2-2-2-20000220000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-222-2-2-2-2-2-2002200-200-2-2-2-22000022220000-2-20000000000000000000000000000
χ192222222-1222-12-1-122222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-12-1-1-1-1-1-120000-1-1-1-10000-1-122-1-1-1-122-1-1-1-10000000000000000
χ202222222-1222-12-1-122222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-1-111211-1-1-1-120000-1-1-1-10000-1-1-2-21111-2-211110000000000000000
χ212222222-1222-12-1-12-2-2-2-2-1222-1-1-1-1-1-1-1-1-122-2-2-2-2111122-1-1-1-12-1-1-1-1-1-1-20000111100001122-1-1-1-1-2-211110000000000000000
χ222222222-1222-12-1-12-2-2-2-2-1222-1-1-1-1-1-1-1-1-122-2-2-2-21111-2-2-1-111211-1-1-1-1-200001111000011-2-2111122-1-1-1-10000000000000000
χ232222222-1-2-22-12-1-122222-1-222-1-1-1-1-11111-2-2-2-222-1-1-1-100-1-1−i3i3-2−i3i31111-2000011110000-1-100−i3i3−i3i300−i3i3−i3i30000000000000000
χ242222222-1-2-22-12-1-122222-1-222-1-1-1-1-11111-2-2-2-222-1-1-1-100-1-1i3−i3-2i3−i31111-2000011110000-1-100i3−i3i3−i300i3−i3i3−i30000000000000000
χ252222222-1-2-22-12-1-12-2-2-2-2-1-222-1-1-1-1-11111-2-222-2-2111100-1-1−i3i3-2−i3i3111120000-1-1-1-100001100−i3i3−i3i300i3−i3i3−i30000000000000000
χ262222222-1-2-22-12-1-12-2-2-2-2-1-222-1-1-1-1-11111-2-222-2-2111100-1-1i3−i3-2i3−i3111120000-1-1-1-100001100i3−i3i3−i300−i3i3−i3i30000000000000000
χ27222222-1222-12-122-10000-12-1-122-1-1-12222-1-10000000022-1-122-122-1-1-1-1022220000222200-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ28222222-1222-12-122-10000-12-1-122-1-1-12222-1-10000000022-1-122-122-1-1-1-10-2-2-2-20000-2-2-2-200-1-1-1-1-1-10000001111111100000000
χ29222222-1222-12-122-10000-12-1-122-1-1-12222-1-100000000-2-2-1-1-2-2-1-2-2-1-1-1-1022220000-2-2-2-200111111000000-1-1-1-1111100000000
χ30222222-1222-12-122-10000-12-1-122-1-1-12222-1-100000000-2-2-1-1-2-2-1-2-2-1-1-1-10-2-2-2-200002222001111110000001111-1-1-1-100000000
χ312222-2-222-2-2222222222222-2-2-2-2222-2-222-2-2-2-2-2-2222200-2-200200-2-22220000-2-2220000-2-20000000000000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-2222-2-222-2-22222-2-2-2-200-2-200200-2-222-2000022-2-20000220000000000000000000000000000
χ332222-2-22-1222-12-1-122222-1-2-2-211-1-1-1-1-1112222-2-2-1-1-1-12-21111-2-1-1-1-111-20000-1-1110000112-211-1-12-2-1-1110000000000000000
χ342222-2-22-1222-12-1-122222-1-2-2-211-1-1-1-1-1112222-2-2-1-1-1-1-2211-1-1-211-1-111-20000-1-111000011-22-1-111-2211-1-10000000000000000
χ352222-2-22-1222-12-1-12-2-2-2-2-1-2-2-211-1-1-1-1-11122-2-22211112-21111-2-1-1-1-1112000011-1-10000-1-12-211-1-1-2211-1-10000000000000000
χ362222-2-22-1222-12-1-12-2-2-2-2-1-2-2-211-1-1-1-1-11122-2-2221111-2211-1-1-211-1-1112000011-1-10000-1-1-22-1-1112-2-1-1110000000000000000
χ372222-2-22-1-2-22-12-1-122222-12-2-211-1-1-111-1-1-2-2-2-2-2-2-1-1-1-10011−i3i32i3−i311-1-12000011-1-100001100−i3i3i3−i300i3−i3−i3i30000000000000000
χ382222-2-22-1-2-22-12-1-122222-12-2-211-1-1-111-1-1-2-2-2-2-2-2-1-1-1-10011i3−i32−i3i311-1-12000011-1-100001100i3−i3−i3i300−i3i3i3−i30000000000000000
χ392222-2-22-1-2-22-12-1-12-2-2-2-2-12-2-211-1-1-111-1-1-2-2222211110011−i3i32i3−i311-1-1-20000-1-1110000-1-100−i3i3i3−i300−i3i3i3−i30000000000000000
χ402222-2-22-1-2-22-12-1-12-2-2-2-2-12-2-211-1-1-111-1-1-2-2222211110011i3−i32−i3i311-1-1-20000-1-1110000-1-100i3−i3−i3i300i3−i3−i3i30000000000000000
χ412222-2-2-1222-12-122-10000-1-211-2-2-1-1-122-2-2-1-1000000002-211-2-2122-1-111022-2-2000022-2-200-1111-1-1000000-1-111-1-11100000000
χ422222-2-2-1222-12-122-10000-1-211-2-2-1-1-122-2-2-1-1000000002-211-2-2122-1-1110-2-2220000-2-22200-1111-1-100000011-1-111-1-100000000
χ432222-2-2-1222-12-122-10000-1-211-2-2-1-1-122-2-2-1-100000000-2211221-2-2-1-111022-2-20000-2-222001-1-1-111000000-1-11111-1-100000000
χ442222-2-2-1222-12-122-10000-1-211-2-2-1-1-122-2-2-1-100000000-2211221-2-2-1-1110-2-222000022-2-2001-1-1-11100000011-1-1-1-11100000000
χ4522-2-200222-2-2-22-22-222-2-2200000-2-222-2002-22-20022-2-20000000002-2000002i−2i2-200000000000000000000002i−2i0000002i−2i0000
χ4622-2-200222-2-2-22-22-222-2-2200000-2-222-2002-22-20022-2-20000000002-200000−2i2i2-20000000000000000000000−2i2i000000−2i2i0000
χ4722-2-200222-2-2-22-22-2-2-222200000-2-222-2002-2-2200-2-2220000000002-2000002i−2i-2200000000000000000000002i−2i000000−2i2i0000
χ4822-2-200222-2-2-22-22-2-2-222200000-2-222-2002-2-2200-2-2220000000002-200000−2i2i-220000000000000000000000−2i2i0000002i−2i0000
χ4922-2-20022-22-2-22-22-222-2-2200000-2-22-2200-22-220022-2-2000000000-220002i−2i00-22000000000000000000002i−2i0000002i−2i000000
χ5022-2-20022-22-2-22-22-222-2-2200000-2-22-2200-22-220022-2-2000000000-22000−2i2i00-2200000000000000000000−2i2i000000−2i2i000000
χ5122-2-20022-22-2-22-22-2-2-222200000-2-22-2200-222-200-2-222000000000-220002i−2i002-2000000000000000000002i−2i000000−2i2i000000
χ5222-2-20022-22-2-22-22-2-2-222200000-2-22-2200-222-200-2-222000000000-22000−2i2i002-200000000000000000000−2i2i0000002i−2i000000
χ532-2-222-222002-2-22-2-22i−2i2i−2i202-22-22-2-2000000002i−2i2i−2i2i−2i002-20000000000000000002−22−22i−2i00000000000000002−22−20000−i2i2−i2i2
χ542-2-222-222002-2-22-2-22i−2i2i−2i202-22-22-2-2000000002i−2i2i−2i2i−2i002-2000000000000000000−22−222i−2i0000000000000000−22−220000i2−i2i2−i2
χ552-2-222-222002-2-22-2-2−2i2i−2i2i202-22-22-2-200000000−2i2i−2i2i−2i2i002-20000000000000000002−22−2−2i2i00000000000000002−22−20000i2−i2i2−i2
χ562-2-222-222002-2-22-2-2−2i2i−2i2i202-22-22-2-200000000−2i2i−2i2i−2i2i002-2000000000000000000−22−22−2i2i0000000000000000−22−220000−i2i2−i2i2
χ572-2-22-2222002-2-22-2-22i−2i2i−2i20-22-222-2-200000000−2i2i2i−2i2i−2i00-220000000000000000002−2−22−2i2i00000000000000002−2−220000−i2i2i2−i2
χ582-2-22-2222002-2-22-2-22i−2i2i−2i20-22-222-2-200000000−2i2i2i−2i2i−2i00-22000000000000000000−222−2−2i2i0000000000000000−222−20000i2−i2−i2i2
χ592-2-22-2222002-2-22-2-2−2i2i−2i2i20-22-222-2-2000000002i−2i−2i2i−2i2i00-220000000000000000002−2−222i−2i00000000000000002−2−220000i2−i2−i2i2
χ602-2-22-2222002-2-22-2-2−2i2i−2i2i20-22-222-2-2000000002i−2i−2i2i−2i2i00-22000000000000000000−222−22i−2i0000000000000000−222−20000−i2i2i2−i2
χ61444444-24-4-4-24-244-20000-2-4-2-244-2-2-2-4-4-4-4220000000000-2-20020022220000000000000000000000000000000000000000000
χ62444444-2-244-2-2-2-2-2-2000014-2-2-2-2111-2-2-2-2-2-2000000004411-2-2-2-2-21111000000000000000-2-211110000000000000000000000
χ63444444-2-244-2-2-2-2-2-2000014-2-2-2-2111-2-2-2-2-2-200000000-4-41122-222111100000000000000022-1-1-1-10000000000000000000000
χ64444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2-2111222222000000000011−2i32i32−2i32i3-1-1-1-100000000000000000i3−i3i3−i30000000000000000000000
χ65444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2-21112222220000000000112i3−2i322i3−2i3-1-1-1-100000000000000000−i3i3−i3i30000000000000000000000
χ664444-4-4-24-4-4-24-244-20000-2422-4-4-2-2-2-4-4442200000000002200-20022-2-20000000000000000000000000000000000000000000
χ674444-4-4-2-244-2-2-2-2-2-200001-42222111-2-222-2-2000000004-4-1-1222-2-211-1-1000000000000000-22-1-1110000000000000000000000
χ684444-4-4-2-244-2-2-2-2-2-200001-42222111-2-222-2-200000000-44-1-1-2-222211-1-10000000000000002-211-1-10000000000000000000000
χ694444-4-4-2-2-4-4-2-2-2-2-2-2000014222211122-2-2220000000000-1-1−2i32i3-22i3−2i3-1-11100000000000000000i3−i3−i3i30000000000000000000000
χ704444-4-4-2-2-4-4-2-2-2-2-2-2000014222211122-2-2220000000000-1-12i3−2i3-2−2i32i3-1-11100000000000000000−i3i3i3−i30000000000000000000000
χ7144-4-4004-24-4-4242-2-444-4-4-20000022-2-22004-44-400-2-222000000000-220000000-22000000000000000000000000000000000000
χ7244-4-4004-24-4-4242-2-4-4-444-20000022-2-22004-4-440022-2-2000000000-2200000002-2000000000000000000000000000000000000
χ7344-4-4004-2-44-4242-2-444-4-4-20000022-22-200-44-4400-2-2220000000002-200000002-2000000000000000000000000000000000000
χ7444-4-4004-2-44-4242-2-4-4-444-20000022-22-200-444-40022-2-20000000002-20000000-22000000000000000000000000000000000000
χ7544-4-400-244-42-4-2-4420000-20000022-24-400-2200000000000000000-22000004i−4i000000000000000000000000−2i2i000000000000
χ7644-4-400-244-42-4-2-4420000-20000022-24-400-2200000000000000000-2200000−4i4i0000000000000000000000002i−2i000000000000
χ7744-4-400-24-442-4-2-4420000-20000022-2-44002-2000000000000000002-20004i−4i000000000000000000000000−2i2i00000000000000
χ7844-4-400-24-442-4-2-4420000-20000022-2-44002-2000000000000000002-2000−4i4i0000000000000000000000002i−2i00000000000000
χ794-44-4004400-44-4-4-444i−4i−4i4i400000-44-400000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-4004400-44-4-4-44−4i4i4i−4i400000-44-40000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-4004-200-4-2-42244i−4i−4i4i-2000002-220023−23000000−2i2i2i−2i0000000000023−230000000−2i32i30000000000000000000000000000000000
χ824-44-4004-200-4-2-42244i−4i−4i4i-2000002-2200−2323000000−2i2i2i−2i00000000000−232300000002i3−2i30000000000000000000000000000000000
χ834-44-4004-200-4-2-4224−4i4i4i−4i-2000002-220023−230000002i−2i−2i2i0000000000023−2300000002i3−2i30000000000000000000000000000000000
χ844-44-4004-200-4-2-4224−4i4i4i−4i-2000002-2200−23230000002i−2i−2i2i00000000000−23230000000−2i32i30000000000000000000000000000000000
χ854-4-444-44-20042-4-22-44i−4i4i−4i-204-4-22-222000000004i−4i−2i2i−2i2i00-220000000000000000000000−2i2i0000000000000000000000000000
χ864-4-444-44-20042-4-22-4−4i4i−4i4i-204-4-22-22200000000−4i4i2i−2i2i−2i00-2200000000000000000000002i−2i0000000000000000000000000000
χ874-4-444-4-2400-2-424-420000-20-224-4-2220000000000000000-2200000000000000000022−2222−22000000000000000000−22−2200000000
χ884-4-444-4-2400-2-424-420000-20-224-4-2220000000000000000-22000000000000000000−2222−22220000000000000000002−22−200000000
χ894-4-44-444-20042-4-22-44i−4i4i−4i-20-442-2-22200000000−4i4i−2i2i−2i2i002-200000000000000000000002i−2i0000000000000000000000000000
χ904-4-44-444-20042-4-22-4−4i4i−4i4i-20-442-2-222000000004i−4i2i−2i2i−2i002-20000000000000000000000−2i2i0000000000000000000000000000
χ914-4-44-44-2400-2-424-420000-202-2-44-22200000000000000002-200000000000000000022−22−2222000000000000000000−222−200000000
χ924-4-44-44-2400-2-424-420000-202-2-44-22200000000000000002-2000000000000000000−222222−220000000000000000002−2−2200000000
χ9388-8-800-4-48-844-44-440000200000-2-22-4400-44000000000000000002-2000000000000000000000000000000000000000000000
χ9488-8-800-4-4-8844-44-440000200000-2-224-4004-400000000000000000-22000000000000000000000000000000000000000000000
χ958-88-800-4800484-8-8-40000-4000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4004-4444-40000200000-22-20043−43000000000000000000000−23230000000000000000000000000000000000000000000
χ978-88-800-4-4004-4444-40000200000-22-200−434300000000000000000000023−230000000000000000000000000000000000000000000
χ988-8-888-8-4-400-444-444000020-44-442-2-200000000000000002-20000000000000000000000000000000000000000000000000000
χ998-8-88-88-4-400-444-4440000204-44-42-2-20000000000000000-220000000000000000000000000000000000000000000000000000

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