Finite Group Databasebeta

← Group #11870872

Character table — Group #11870872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order12222233446666664444346666666121212121212444412121212446612121212121212121244444888812121212121212121212121224661212121212122424242422228888
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
χ91111-1-1111111111111111-1-1-1-1-111111-1-11111-1-111111-1-1-1-111-1-111-1-1-111-1-111-1-1-1-111-1-11-1-1-111-11-1-11111-1-111-1-111-1-111-1-1
χ101111-1-1111111111111111-1-1-1-1-111111-1-11111-1-111111-1-1-1-111-1-111-1-1-1-1-111-1-111-1-111-1-11-1-1-111-11-1-111-1-111-1-111-1-111-1-111
χ111111-1-1111111111111111-1-1-1-1-111111-1-11111-1-11111-11-1-1-1-1-11111-1-1-111-1-1-1-111-1-111-1-1-1111-1-11-111-1-111-1-1-1-11111-1-1-1-111
χ121111-1-1111111111111111-1-1-1-1-111111-1-11111-1-11111-11-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-1-1111-1-11-111-1-1-1-11111-1-1-1-11111-1-1
χ131111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-11-1-1-1-111-1-111-1-1111-1-111-1-111-1-1111-1-1-1111-111-1-111-1-111-1-1-1-111-1-111
χ141111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-11-1-1-1-111-1-111-1-11-1-111-1-11111-1-1111-1-1-1111-111-1-1-1-111-1-11111-1-111-1-1
χ151111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1111-1-1-1-11111-1-111-1111-1-1-11-1-11111-1-1-1-111-1-11111-1-1
χ161111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-111-1-111-1-1-1-1-11-1-1-1-1-11111-1-11-1-11111-1-111-1-111-1111-1-1-11-1-111-1-11111-1-111-1-1-1-111
χ1722222222-2-222222222222-22222222-2-2-2-2-2-2-2-22222220022-20000-2-2-2-2-20000000022-2-2-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-222-2-2-2-2-2-20022-20000-2-2-2-2200000000-2-222220000000000000000000000000000
χ192222222-12222-1-1-122222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1200000000-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000000000
χ202222222-12222-1-1-122222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-1-121111-1-1-1-1200000000-1-1-1-1-1-1-2-21111-2-211110000000000000000
χ212222222-12222-1-1-12-2-2-2-2-1222-1-1-1-1-1-1-1-1-122-2-2-2-2111122-1-12-1-1-1-1-1-1-1-1-20000000011111122-1-1-1-1-2-211110000000000000000
χ222222222-12222-1-1-12-2-2-2-2-1222-1-1-1-1-1-1-1-1-122-2-2-2-21111-2-2-1-121111-1-1-1-1-200000000111111-2-2111122-1-1-1-10000000000000000
χ232222222-1-2-222-1-1-122222-1-222-1-1-1-1-11111-2-2-2-222-1-1-1-100-1-1-2−i3i3−i3i31111-200000000-1-1111100−i3i3−i3i300−i3i3−i3i30000000000000000
χ242222222-1-2-222-1-1-122222-1-222-1-1-1-1-11111-2-2-2-222-1-1-1-100-1-1-2i3−i3i3−i31111-200000000-1-1111100i3−i3i3−i300i3−i3i3−i30000000000000000
χ252222222-1-2-222-1-1-12-2-2-2-2-1-222-1-1-1-1-11111-2-222-2-2111100-1-1-2−i3i3−i3i3111120000000011-1-1-1-100−i3i3−i3i300i3−i3i3−i30000000000000000
χ262222222-1-2-222-1-1-12-2-2-2-2-1-222-1-1-1-1-11111-2-222-2-2111100-1-1-2i3−i3i3−i3111120000000011-1-1-1-100i3−i3i3−i300−i3i3−i3i30000000000000000
χ27222222-1222-1-1222-10000-12-1-122-1-1-12222-1-10000000022-1-1-12222-1-1-1-1022222222000000-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ28222222-1222-1-1222-10000-12-1-122-1-1-12222-1-10000000022-1-1-12222-1-1-1-10-2-2-2-2-2-2-2-2000000-1-1-1-1-1-10000001111111100000000
χ29222222-1222-1-1222-10000-12-1-122-1-1-12222-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-102222-2-2-2-2000000111111000000-1-1-1-1111100000000
χ30222222-1222-1-1222-10000-12-1-122-1-1-12222-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-10-2-2-2-222220000001111110000001111-1-1-1-100000000
χ312222-2-222-2-2222222222222-2-2-2-2222-2-222-2-2-2-2-2-2222200-2-220000-2-222200000000-2-2-2-2220000000000000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-2222-2-222-2-22222-2-2-2-200-2-220000-2-222-2000000002222-2-20000000000000000000000000000
χ332222-2-22-12222-1-1-122222-1-2-2-211-1-1-1-1-1112222-2-2-1-1-1-12-211-2-1-111-1-111-20000000011-1-1112-211-1-1-2211-1-10000000000000000
χ342222-2-22-12222-1-1-122222-1-2-2-211-1-1-1-1-1112222-2-2-1-1-1-1-2211-211-1-1-1-111-20000000011-1-111-22-1-1112-2-1-1110000000000000000
χ352222-2-22-12222-1-1-12-2-2-2-2-1-2-2-211-1-1-1-1-11122-2-22211112-211-2-1-111-1-111200000000-1-111-1-12-211-1-12-2-1-1110000000000000000
χ362222-2-22-12222-1-1-12-2-2-2-2-1-2-2-211-1-1-1-1-11122-2-2221111-2211-211-1-1-1-111200000000-1-111-1-1-22-1-111-2211-1-10000000000000000
χ372222-2-22-1-2-222-1-1-122222-12-2-211-1-1-111-1-1-2-2-2-2-2-2-1-1-1-100112−i3i3i3−i311-1-12000000001111-1-100i3−i3−i3i300i3−i3−i3i30000000000000000
χ382222-2-22-1-2-222-1-1-122222-12-2-211-1-1-111-1-1-2-2-2-2-2-2-1-1-1-100112i3−i3−i3i311-1-12000000001111-1-100−i3i3i3−i300−i3i3i3−i30000000000000000
χ392222-2-22-1-2-222-1-1-12-2-2-2-2-12-2-211-1-1-111-1-1-2-22222111100112−i3i3i3−i311-1-1-200000000-1-1-1-11100i3−i3−i3i300−i3i3i3−i30000000000000000
χ402222-2-22-1-2-222-1-1-12-2-2-2-2-12-2-211-1-1-111-1-1-2-22222111100112i3−i3−i3i311-1-1-200000000-1-1-1-11100−i3i3i3−i300i3−i3−i3i30000000000000000
χ412222-2-2-1222-1-1222-10000-1-211-2-2-1-1-122-2-2-1-1000000002-211122-2-2-1-111022-2-222-2-2000000-1111-1-1000000-1-111-1-11100000000
χ422222-2-2-1222-1-1222-10000-1-211-2-2-1-1-122-2-2-1-1000000002-211122-2-2-1-1110-2-222-2-222000000-1111-1-100000011-1-111-1-100000000
χ432222-2-2-1222-1-1222-10000-1-211-2-2-1-1-122-2-2-1-100000000-22111-2-222-1-111022-2-2-2-2220000001-1-1-111000000-1-11111-1-100000000
χ442222-2-2-1222-1-1222-10000-1-211-2-2-1-1-122-2-2-1-100000000-22111-2-222-1-1110-2-22222-2-20000001-1-1-11100000011-1-1-1-11100000000
χ4522-2-200222-2-222-2-2-22i2i−2i−2i200000-2-222-2002-22i−2i002i2i−2i−2i0000000002-2000002i−2i0000002i−2i00000000000000002i−2i0000002-20000
χ4622-2-200222-2-222-2-2-22i2i−2i−2i200000-2-222-2002-22i−2i002i2i−2i−2i0000000002-200000−2i2i0000002i−2i0000000000000000−2i2i000000-220000
χ4722-2-200222-2-222-2-2-2−2i−2i2i2i200000-2-222-2002-2−2i2i00−2i−2i2i2i0000000002-2000002i−2i000000−2i2i00000000000000002i−2i000000-220000
χ4822-2-200222-2-222-2-2-2−2i−2i2i2i200000-2-222-2002-2−2i2i00−2i−2i2i2i0000000002-200000−2i2i000000−2i2i0000000000000000−2i2i0000002-20000
χ4922-2-20022-22-222-2-2-22i2i−2i−2i200000-2-22-2200-22−2i2i002i2i−2i−2i000000000-220002i−2i00000000−2i2i000000000000002i−2i0000002-2000000
χ5022-2-20022-22-222-2-2-22i2i−2i−2i200000-2-22-2200-22−2i2i002i2i−2i−2i000000000-22000−2i2i00000000−2i2i00000000000000−2i2i000000-22000000
χ5122-2-20022-22-222-2-2-2−2i−2i2i2i200000-2-22-2200-222i−2i00−2i−2i2i2i000000000-220002i−2i000000002i−2i000000000000002i−2i000000-22000000
χ5222-2-20022-22-222-2-2-2−2i−2i2i2i200000-2-22-2200-222i−2i00−2i−2i2i2i000000000-22000−2i2i000000002i−2i00000000000000−2i2i0000002-2000000
χ532-22-22-222002-2-2-22-22i−2i2i−2i202-22-22-2-2000000002i−2i2i−2i2i−2i002-2000000000000002−22−22i−2i000000000000000000002−22−20000−i2i2−i2i2
χ542-22-22-222002-2-2-22-22i−2i2i−2i202-22-22-2-2000000002i−2i2i−2i2i−2i002-200000000000000−22−222i−2i00000000000000000000−22−220000i2−i2i2−i2
χ552-22-22-222002-2-2-22-2−2i2i−2i2i202-22-22-2-200000000−2i2i−2i2i−2i2i002-2000000000000002−22−2−2i2i000000000000000000002−22−20000i2−i2i2−i2
χ562-22-22-222002-2-2-22-2−2i2i−2i2i202-22-22-2-200000000−2i2i−2i2i−2i2i002-200000000000000−22−22−2i2i00000000000000000000−22−220000−i2i2−i2i2
χ572-22-2-2222002-2-2-22-22i−2i2i−2i20-22-222-2-200000000−2i2i2i−2i2i−2i00-22000000000000002−2−22−2i2i000000000000000000002−2−220000−i2i2i2−i2
χ582-22-2-2222002-2-2-22-22i−2i2i−2i20-22-222-2-200000000−2i2i2i−2i2i−2i00-2200000000000000−222−2−2i2i00000000000000000000−222−20000i2−i2−i2i2
χ592-22-2-2222002-2-2-22-2−2i2i−2i2i20-22-222-2-2000000002i−2i−2i2i−2i2i00-22000000000000002−2−222i−2i000000000000000000002−2−220000i2−i2−i2i2
χ602-22-2-2222002-2-2-22-2−2i2i−2i2i20-22-222-2-2000000002i−2i−2i2i−2i2i00-2200000000000000−222−22i−2i00000000000000000000−222−20000−i2i2i2−i2
χ61444444-24-4-4-2-2444-20000-2-4-2-244-2-2-2-4-4-4-4220000000000-2-22000022220000000000000000000000000000000000000000000
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
χ63444444-2-244-2-2-2-2-2-2000014-2-2-2-2111-2-2-2-2-2-200000000-4-411-22222111100000000000000022-1-1-1-10000000000000000000000
χ64444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2-21112222220000000000112−2i32i3−2i32i3-1-1-1-100000000000000000i3−i3i3−i30000000000000000000000
χ65444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2-211122222200000000001122i3−2i32i3−2i3-1-1-1-100000000000000000−i3i3−i3i30000000000000000000000
χ664444-4-4-24-4-4-2-2444-20000-2422-4-4-2-2-2-4-44422000000000022-2000022-2-20000000000000000000000000000000000000000000
χ674444-4-4-2-244-2-2-2-2-2-200001-42222111-2-222-2-2000000004-4-1-12-2-22211-1-1000000000000000-22-1-1110000000000000000000000
χ684444-4-4-2-244-2-2-2-2-2-200001-42222111-2-222-2-200000000-44-1-1222-2-211-1-10000000000000002-211-1-10000000000000000000000
χ694444-4-4-2-2-4-4-2-2-2-2-2-2000014222211122-2-2220000000000-1-1-2−2i32i32i3−2i3-1-11100000000000000000−i3i3i3−i30000000000000000000000
χ704444-4-4-2-2-4-4-2-2-2-2-2-2000014222211122-2-2220000000000-1-1-22i3−2i3−2i32i3-1-11100000000000000000i3−i3−i3i30000000000000000000000
χ7144-4-4004-24-4-44-222-44i4i−4i−4i-20000022-2-22004-44i−4i00−2i−2i2i2i000000000-220000000000000−2i2i000000000000000000000000000000
χ7244-4-4004-24-4-44-222-4−4i−4i4i4i-20000022-2-22004-4−4i4i002i2i−2i−2i000000000-2200000000000002i−2i000000000000000000000000000000
χ7344-4-4004-2-44-44-222-44i4i−4i−4i-20000022-22-200-44−4i4i00−2i−2i2i2i0000000002-200000000000002i−2i000000000000000000000000000000
χ7444-4-4004-2-44-44-222-4−4i−4i4i4i-20000022-22-200-444i−4i002i2i−2i−2i0000000002-20000000000000−2i2i000000000000000000000000000000
χ7544-4-400-244-42-24-4-420000-20000022-24-400-2200000000000000000-22000004i−4i000000000000000000000000−2i2i000000000000
χ7644-4-400-244-42-24-4-420000-20000022-24-400-2200000000000000000-2200000−4i4i0000000000000000000000002i−2i000000000000
χ7744-4-400-24-442-24-4-420000-20000022-2-44002-2000000000000000002-20004i−4i000000000000000000000000−2i2i00000000000000
χ7844-4-400-24-442-24-4-420000-20000022-2-44002-2000000000000000002-2000−4i4i0000000000000000000000002i−2i00000000000000
χ794-44-44-44-2004-422-2-44i−4i4i−4i-204-4-22-222000000004i−4i−2i2i−2i2i00-22000000000000000000−2i2i00000000000000000000000000000000
χ804-44-44-44-2004-422-2-4−4i4i−4i4i-204-4-22-22200000000−4i4i2i−2i2i−2i00-220000000000000000002i−2i00000000000000000000000000000000
χ814-44-44-4-2400-22-4-4420000-20-224-4-2220000000000000000-220000000000000022−2222−220000000000000000000000−22−2200000000
χ824-44-44-4-2400-22-4-4420000-20-224-4-2220000000000000000-2200000000000000−2222−222200000000000000000000002−22−200000000
χ834-44-4-444-2004-422-2-44i−4i4i−4i-20-442-2-22200000000−4i4i−2i2i−2i2i002-20000000000000000002i−2i00000000000000000000000000000000
χ844-44-4-444-2004-422-2-4−4i4i−4i4i-20-442-2-222000000004i−4i2i−2i2i−2i002-2000000000000000000−2i2i00000000000000000000000000000000
χ854-44-4-44-2400-22-4-4420000-202-2-44-22200000000000000002-20000000000000022−22−22220000000000000000000000−222−200000000
χ864-44-4-44-2400-22-4-4420000-202-2-44-22200000000000000002-200000000000000−222222−2200000000000000000000002−2−2200000000
χ874-4-44004400-4-4-44-444-4-44400000-44-400000000004-4-4400000000000000000000000000000000000000000000000000000000
χ884-4-44004400-4-4-44-44-444-4400000-44-40000000000-444-400000000000000000000000000000000000000000000000000000000
χ894-4-44004-200-4-42-2244-4-44-2000002-220023−23000000-222-20000000000023−23000000000000023−230000000000000000000000000000
χ904-4-44004-200-4-42-2244-4-44-2000002-2200−2323000000-222-200000000000−23230000000000000−23230000000000000000000000000000
χ914-4-44004-200-4-42-224-444-4-2000002-220023−230000002-2-220000000000023−230000000000000−23230000000000000000000000000000
χ924-4-44004-200-4-42-224-444-4-2000002-2200−23230000002-2-2200000000000−2323000000000000023−230000000000000000000000000000
χ9388-8-800-4-48-84-4-44440000200000-2-22-4400-44000000000000000002-2000000000000000000000000000000000000000000000
χ9488-8-800-4-4-884-4-44440000200000-2-224-4004-400000000000000000-22000000000000000000000000000000000000000000000
χ958-88-88-8-4-400-4444-44000020-44-442-2-200000000000000002-20000000000000000000000000000000000000000000000000000
χ968-88-8-88-4-400-4444-440000204-44-42-2-20000000000000000-220000000000000000000000000000000000000000000000000000
χ978-8-8800-480044-88-8-40000-4000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-400444-44-40000200000-22-20043−43000000000000000000000−23230000000000000000000000000000000000000000000
χ998-8-8800-4-400444-44-40000200000-22-200−434300000000000000000000023−230000000000000000000000000000000000000000000

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