Finite Group Databasebeta

← Group #11885832

Character table — Group #11885832

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222223344666666223466666666666666612121212444426666666666666612121212121224888812121212888844446121212121224242424228812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ61111111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111111111-1-1-1-11
χ81111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ91111-1-11111111111111-1-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1111-1-111-1-1111111-1-1-1111-1-111-1-111-1-11-1-1
χ101111-1-11111111111111-1-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-111-111
χ111111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-111-1-1-1-1-111-11-1-1-11111-1-1-1-1111-11
χ121111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-1111111-1-1111-1-1-111-1-11111-1-1-11-1
χ131111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-11111-1-111-1-1-1111-1-111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-111
χ141111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-11111-1-111-1-1-11-1-11111-1-1-1-1-1-1-111-1-11-1-111-1-11111111-1-1
χ151111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-11111-1-1-1-11111-1-111-1-11-111-1-1-1-111-1-1-1-11-1-111-111-1-111-1-11111-11-1
χ161111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-11111-1-1-1-11111-1-111-1-11-1-1-111-1-111111111-1-11-111-1-1-1-111-1-1-1-11-11
χ1722222222-2-2222222002-2222200002222222-2-2-2-22222000000000000000-2-2-2-2-2-2-2-20000222200000000-2-2000000000000000
χ1822222222-2-2222222002-2222200002222222-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-2-2220000-2-2-2-20000000022000000000000000
χ192222222-1222-122-1-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1220000-1-1-1-100002020-1-1-1-1-1-100000000000
χ202222222-1222-122-1-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-2-2000011110000-20-2011111100000000000
χ212222222-1222-122-1-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-1222222-2-2-2-2-211111111112-1-1-1-1-1220000-1-1-1-10000-20-20-1-1111100000000000
χ222222222-1222-122-1-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-211111111112-1-1-1-1-1-2-2000011110000202011-1-1-1-100000000000
χ232222222-1-2-22-122-1-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-2222200000−i3i3−i3−i3i3i3−i3−i3i3i3-211111-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ242222222-1-2-22-122-1-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-2-2-2-2-200000−i3i3−i3−i3i3i3−i3−i3i3i3-211111220000111100000000-1-1i3−i3i3−i300000000000
χ252222222-1-2-22-122-1-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-2222200000i3−i3i3i3−i3−i3i3i3−i3−i3-211111-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ262222222-1-2-22-122-1-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-2-2-2-2-200000i3−i3i3i3−i3−i3i3i3−i3−i3-211111220000111100000000-1-1−i3i3−i3i300000000000
χ27222222-1222-12-1-12222-12-1-1222222-1-1-1-1-1-1-122-1-100002-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1002222000000000202000000-1-1-1-10000-1-10
χ28222222-1222-12-1-12222-12-1-1222222-1-1-1-1-1-1-122-1-100002-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-100-2-2-2-2000000000-20-200000011110000110
χ29222222-1222-12-1-122-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-10000-21111-2-211111111-12-1-1-1-1002222000000000-20-2000000-1-1-1-10000110
χ30222222-1222-12-1-122-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-10000-21111-2-211111111-12-1-1-1-100-2-2-2-200000000020200000011110000-1-10
χ312222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-222-2-200000000000000022-2-2222-2000022-2-2000000002-2000000000000000
χ322222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-2-2-22200000000000000022-2-222-220000-2-22200000000-22000000000000000
χ332222-2-22-1222-122-1-122-1-2-2-211-1-1-1-1-1-11111-1-1-12222-2-2-222-2-211-1-1-1-11111-21-1-111-220000-1-111000020-201-1-1-11100000000000
χ342222-2-22-1222-122-1-122-1-2-2-211-1-1-1-1-1-11111-1-1-122-2-222-222-2-211-1-1-1-11111-21-1-1112-2000011-1-10000-2020-1111-1-100000000000
χ352222-2-22-1222-122-1-1-2-2-1-2-2-2111111-1-11111-1-1-12222-2-22-2-222-1-11111-1-1-1-1-21-1-111-220000-1-1110000-20201-111-1-100000000000
χ362222-2-22-1222-122-1-1-2-2-1-2-2-2111111-1-11111-1-1-122-2-2222-2-222-1-11111-1-1-1-1-21-1-1112-2000011-1-1000020-20-11-1-11100000000000
χ372222-2-22-1-2-22-122-1-100-12-2-211−i3−i3i3i3-1-11111-111-2-222-2-200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-12-20000-1-11100000000-11−i3i3i3−i300000000000
χ382222-2-22-1-2-22-122-1-100-12-2-211−i3−i3i3i3-1-11111-111-2-2-2-22200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-1-22000011-1-1000000001-1i3−i3−i3i300000000000
χ392222-2-22-1-2-22-122-1-100-12-2-211i3i3−i3−i3-1-11111-111-2-222-2-200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-12-20000-1-11100000000-11i3−i3−i3i300000000000
χ402222-2-22-1-2-22-122-1-100-12-2-211i3i3−i3−i3-1-11111-111-2-2-2-22200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-1-22000011-1-1000000001-1−i3i3i3−i300000000000
χ412222-2-2-1222-12-1-12222-1-211-2-22222-1-11111-122-1-10000-2-1-111-2-2-1-1-1-111111-2-1-1110022-2-200000000020-2000000-1-1110000-110
χ422222-2-2-1222-12-1-12222-1-211-2-22222-1-11111-122-1-10000-2-1-111-2-2-1-1-1-111111-2-1-11100-2-222000000000-20200000011-1-100001-10
χ432222-2-2-1222-12-1-122-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-10000211-1-1221111-1-1-1-11-2-1-1110022-2-2000000000-202000000-1-11100001-10
χ442222-2-2-1222-12-1-122-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-10000211-1-1221111-1-1-1-11-2-1-11100-2-22200000000020-200000011-1-10000-110
χ4522-2-22-2220022-2-2-2-200202-22-200002-222-2-2-200002i−2i2i−2i00000000000000000000000−i2i2−i2i22i−2i2i−2i22−2−20000000000−i2i2−i2i2002−2000
χ4622-2-22-2220022-2-2-2-200202-22-200002-222-2-2-200002i−2i2i−2i00000000000000000000000i2−i2i2−i22i−2i2i−2i−2−2220000000000i2−i2i2−i200−22000
χ4722-2-22-2220022-2-2-2-200202-22-200002-222-2-2-20000−2i2i−2i2i00000000000000000000000−i2i2−i2i2−2i2i−2i2i−2−2220000000000−i2i2−i2i200−22000
χ4822-2-22-2220022-2-2-2-200202-22-200002-222-2-2-20000−2i2i−2i2i00000000000000000000000i2−i2i2−i2−2i2i−2i2i22−2−20000000000i2−i2i2−i2002−2000
χ4922-2-2-22220022-2-2-2-20020-22-2200002-2-2-222-200002i−2i−2i2i00000000000000000000000−i2i2i2−i22i−2i−2i2i22−2−20000000000−i2i2i2−i200−22000
χ5022-2-2-22220022-2-2-2-20020-22-2200002-2-2-222-200002i−2i−2i2i00000000000000000000000i2−i2−i2i22i−2i−2i2i−2−2220000000000i2−i2−i2i2002−2000
χ5122-2-2-22220022-2-2-2-20020-22-2200002-2-2-222-20000−2i2i2i−2i00000000000000000000000−i2i2i2−i2−2i2i2i−2i−2−2220000000000−i2i2i2−i2002−2000
χ5222-2-2-22220022-2-2-2-20020-22-2200002-2-2-222-20000−2i2i2i−2i00000000000000000000000i2−i2−i2i2−2i2i2i−2i22−2−20000000000i2−i2−i2i200−22000
χ532-2-220022-22-2-2-22-222-22000002-22-2-2-2000022-22-2000002-200002-22-20000002-20000000000002-22-2000000000000002-200000
χ542-2-220022-22-2-2-22-222-22000002-22-2-2-2000022-22-2000002-200002-22-20000002-2000000000000-22-2200000000000000-2200000
χ552-2-220022-22-2-2-22-22-22200000-22-22-2-2000022-22-200000-220000-22-220000002-20000000000002-22-200000000000000-2200000
χ562-2-220022-22-2-2-22-22-22200000-22-22-2-2000022-22-200000-220000-22-220000002-2000000000000-22-22000000000000002-200000
χ57444444-24-4-4-24-2-24400-2-4-2-2440000-2-2-2-2-2-2-2-4-42200000000000000000002-4222200000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-24414-2-2-2-2-2-2-2-21111111-2-2-2-200004-2-2-2-2-2-211111111-2-2111100000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-4-414-2-2-2-222221111111-2-2-2-20000-4222222-1-1-1-1-1-1-1-1-2-2111100000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2001-4-2-2-2-2−2i3−2i32i32i311111112222000000000−2i32i3i3i3−i3−i3i3i3−i3−i322-1-1-1-100000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2001-4-2-2-2-22i32i3−2i3−2i3111111122220000000002i3−2i3−i3−i3i3i3−i3−i3i3i322-1-1-1-100000000000000000000000000000000000
χ624444-4-4-24-4-4-24-2-24400-2422-4-40000-2-22222-2-4-4220000000000000000000-2422-2-200000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-2441-42222-2-2-2-211-1-1-1-11-2-2-2-20000-4-2-222221111-1-1-1-12211-1-100000000000000000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-2-4-41-42222222211-1-1-1-11-2-2-2-20000422-2-2-2-2-1-1-1-111112211-1-100000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-200142222−2i3−2i32i32i311-1-1-1-1122220000000002i3−2i3i3i3−i3−i3−i3−i3i3i3-2-2-1-11100000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-2001422222i32i3−2i3−2i311-1-1-1-112222000000000−2i32i3−i3−i3i3i3i3i3−i3−i3-2-2-1-11100000000000000000000000000000000000
χ6744-4-44-44-2004-2-4-42200-204-4-220000-22-2-222200004i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ6844-4-44-44-2004-2-4-42200-204-4-220000-22-2-22220000−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ6944-4-44-4-2400-2422-4-400-20-224-40000-22-2-22220000000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ7044-4-44-4-2400-2422-4-400-20-224-40000-22-2-222200000000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ7144-4-4-444-2004-2-4-42200-20-442-20000-2222-2-2200004i−4i−4i4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ7244-4-4-444-2004-2-4-42200-20-442-20000-2222-2-220000−4i4i4i−4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ7344-4-4-44-2400-2422-4-400-202-2-440000-2222-2-220000000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ7444-4-4-44-2400-2422-4-400-202-2-440000-2222-2-2200000000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ754-44-4004400-4-44-44-4004000000000-440000-400000000000000000000000000000000000000022−22−2222000000000000000000000
χ764-44-4004400-4-44-44-4004000000000-440000-4000000000000000000000000000000000000000−222222−22000000000000000000000
χ774-4-4400444-4-4-4-44-44004000000000-4-400004-44-44000000000000000000000-440000000000000000000000000000000000000
χ784-4-44004-24-4-42-442-200-200000−2i32i32i3−2i3220000-22-2-4400000000000−2i32i32i3−2i30000002-20000000000000000000000000000000000000
χ794-4-44004-24-4-42-442-200-2000002i3−2i3−2i32i3220000-22-2-44000000000002i3−2i3−2i32i30000002-20000000000000000000000000000000000000
χ804-4-44004-2-44-42-442-24-4-200000-22-22220000-2-224-4000004-40000-22-22000000-220000000000000000000000000000000000000
χ814-4-44004-2-44-42-442-2-44-2000002-22-2220000-2-224-400000-4400002-22-2000000-220000000000000000000000000000000000000
χ824-4-4400-244-42-42-2-4400-2000000000220000-2-442-20000000−2i32i3000000−2i32i3−2i32i3002-20000000000000000000000000000000000000
χ834-4-4400-244-42-42-2-4400-2000000000220000-2-442-200000002i3−2i30000002i3−2i32i3−2i3002-20000000000000000000000000000000000000
χ844-4-4400-24-442-42-2-444-4-2000004-44-4220000-24-4-2200000-220000-22-22000000-220000000000000000000000000000000000000
χ854-4-4400-24-442-42-2-44-44-200000-44-44220000-24-4-22000002-200002-22-2000000-220000000000000000000000000000000000000
χ864-4-4400-2-24-4222-22-200100000−2i32i32i3−2i3-1-13-33-312-22-20000000−2i32i300i3−i3−i3i3i3−i3i3−i300-113-300000000000000000000000000000000000
χ874-4-4400-2-24-4222-22-200100000−2i32i32i3−2i3-1-1-33-3312-22-200000002i3−2i300i3−i3−i3i3−i3i3−i3i300-11-3300000000000000000000000000000000000
χ884-4-4400-2-24-4222-22-2001000002i3−2i3−2i32i3-1-13-33-312-22-200000002i3−2i300−i3i3i3−i3−i3i3−i3i300-113-300000000000000000000000000000000000
χ894-4-4400-2-24-4222-22-2001000002i3−2i3−2i32i3-1-1-33-3312-22-20000000−2i32i300−i3i3i3−i3i3−i3i3−i300-11-3300000000000000000000000000000000000
χ904-4-4400-2-2-44222-22-24-4100000-22-22-1-13-33-31-22-2200000-2200001-11-1-333-3001-1-3300000000000000000000000000000000000
χ914-4-4400-2-2-44222-22-24-4100000-22-22-1-1-33-331-22-2200000-2200001-11-13-3-33001-13-300000000000000000000000000000000000
χ924-4-4400-2-2-44222-22-2-441000002-22-2-1-13-33-31-22-22000002-20000-11-113-3-33001-1-3300000000000000000000000000000000000
χ934-4-4400-2-2-44222-22-2-441000002-22-2-1-1-33-331-22-22000002-20000-11-11-333-3001-13-300000000000000000000000000000000000
χ9488-8-88-8-4-400-4-444440020-44-4400002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-4-400-4-4444400204-44-400002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000
χ968-88-8008-400-848-8-4400-40000000004-4000040000000000000000000000000000000000000000000000000000000000000000
χ978-88-800-48004-8-448-800-40000000004-4000040000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40044-44-44002000000000-226-6-66-20000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40044-44-44002000000000-22-666-6-20000000000000000000000000000000000000000000000000000000000000000

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