Finite Group Databasebeta

← Group #11887023

Character table — Group #11887023

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122222334466666622346666666666666661212121222442666666666666661212121212124466888812128888224466121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
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
χ51111111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1
χ61111111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1111
χ71111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-111-1-111111111-1-1-1-11
χ81111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1
χ91111-1-11111111111111-1-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1-1-1111-11
χ101111-1-11111111111111-1-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1111-1-111-1-111111-1-1111-11-1-1-1-11111-1-1-11-1
χ111111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-1111111-111-1-1-11-11111-1-111-1-11-1-1
χ121111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-111-1-111-111
χ131111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-11111-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-11111-11-1
χ141111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-11111-1-111-1-1-1111-1-111-1-11111-111-1-1-1-1111-1-111-1-1-1-11-11
χ151111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-11111-1-1-1-11111-1-111-1-11-1-1-111-1-11111111-1-11111-1-1-111-1-1-1-1-1-1-111
χ161111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-11111-1-1-1-11111-1-111-1-11-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-11111111-1-1
χ1722222222-2-2222222002-2222200002222222-2-2-2-22222000000000000000-2-2-2-2-2-2-2-2220000220000000000-2-20000000000000
χ1822222222-2-2222222002-2222200002222222-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-2-222-2-20000-2-20000000000220000000000000
χ192222222-12222-1-12-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122-1-10000-1-100002020-1-1-1-1-1-100000000000
χ202222222-12222-1-12-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-2-2110000110000-20-2011111100000000000
χ212222222-12222-1-12-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-1222222-2-2-2-2-211111111112-1-1-1-1-122-1-10000-1-10000-20-2011-1-11100000000000
χ222222222-12222-1-12-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-211111111112-1-1-1-1-1-2-21100001100002020-1-111-1-100000000000
χ232222222-1-2-222-1-12-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-2222200000−i3i3−i3−i3i3i3−i3−i3i3i3-211111-2-2-1-10000-1-100000000−i3i311−i3i300000000000
χ242222222-1-2-222-1-12-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-2-2-2-2-200000−i3i3−i3−i3i3i3−i3−i3i3i3-211111221100001100000000i3−i3-1-1i3−i300000000000
χ252222222-1-2-222-1-12-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-2222200000i3−i3i3i3−i3−i3i3i3−i3−i3-211111-2-2-1-10000-1-100000000i3−i311i3−i300000000000
χ262222222-1-2-222-1-12-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-2-2-2-2-200000i3−i3i3i3−i3−i3i3i3−i3−i3-211111221100001100000000−i3i3-1-1−i3i300000000000
χ27222222-1222-1-122-1222-12-1-1222222-1-1-1-1-1-1-122-1-100002-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1000022220000000202000000-1-1-1-10000-1-10
χ28222222-1222-1-122-1222-12-1-1222222-1-1-1-1-1-1-122-1-100002-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-10000-2-2-2-20000000-20-200000011110000110
χ29222222-1222-1-122-12-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-10000-21111-2-211111111-12-1-1-1-1000022220000000-20-2000000-1-1-1-10000110
χ30222222-1222-1-122-12-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-10000-21111-2-211111111-12-1-1-1-10000-2-2-2-2000000020200000011110000-1-10
χ312222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-222-2-200000000000000022-2-2222-2220000-2-200000000002-20000000000000
χ322222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-2-2-22200000000000000022-2-222-22-2-20000220000000000-220000000000000
χ332222-2-22-12222-1-12-122-1-2-2-211-1-1-1-1-1-11111-1-1-12222-2-2-222-2-211-1-1-1-11111-21-1-111-22-1-1000011000020-20-1-11-11100000000000
χ342222-2-22-12222-1-12-122-1-2-2-211-1-1-1-1-1-11111-1-1-122-2-222-222-2-211-1-1-1-11111-21-1-1112-2110000-1-10000-202011-11-1-100000000000
χ352222-2-22-12222-1-12-1-2-2-1-2-2-2111111-1-11111-1-1-12222-2-22-2-222-1-11111-1-1-1-1-21-1-111-22-1-10000110000-2020111-1-1-100000000000
χ362222-2-22-12222-1-12-1-2-2-1-2-2-2111111-1-11111-1-1-122-2-2222-2-222-1-11111-1-1-1-1-21-1-1112-2110000-1-1000020-20-1-1-111100000000000
χ372222-2-22-1-2-222-1-12-100-12-2-211−i3−i3i3i3-1-11111-111-2-222-2-200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-12-2-1-100001100000000−i3i3-11i3−i300000000000
χ382222-2-22-1-2-222-1-12-100-12-2-211−i3−i3i3i3-1-11111-111-2-2-2-22200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-1-22110000-1-100000000i3−i31-1−i3i300000000000
χ392222-2-22-1-2-222-1-12-100-12-2-211i3i3−i3−i3-1-11111-111-2-222-2-200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-12-2-1-100001100000000i3−i3-11−i3i300000000000
χ402222-2-22-1-2-222-1-12-100-12-2-211i3i3−i3−i3-1-11111-111-2-2-2-22200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-1-22110000-1-100000000−i3i31-1i3−i300000000000
χ412222-2-2-1222-1-122-1222-1-211-2-22222-1-11111-122-1-10000-2-1-111-2-2-1-1-1-111111-2-1-111000022-2-2000000020-2000000-1-1110000-110
χ422222-2-2-1222-1-122-1222-1-211-2-22222-1-11111-122-1-10000-2-1-111-2-2-1-1-1-111111-2-1-1110000-2-2220000000-20200000011-1-100001-10
χ432222-2-2-1222-1-122-12-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-10000211-1-1221111-1-1-1-11-2-1-111000022-2-20000000-202000000-1-11100001-10
χ442222-2-2-1222-1-122-12-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-10000211-1-1221111-1-1-1-11-2-1-1110000-2-222000000020-200000011-1-10000-110
χ452-22-200222-2-22-22-2-22-22000002-22-2-2-2000022-22-2000002-200002-22-20000002-20000000000002i2i−2i−2i000000000000002i−2i00000
χ462-22-200222-2-22-22-2-22-22000002-22-2-2-2000022-22-2000002-200002-22-20000002-2000000000000−2i−2i2i2i00000000000000−2i2i00000
χ472-22-200222-2-22-22-2-2-22200000-22-22-2-2000022-22-200000-220000-22-220000002-20000000000002i2i−2i−2i00000000000000−2i2i00000
χ482-22-200222-2-22-22-2-2-22200000-22-22-2-2000022-22-200000-220000-22-220000002-2000000000000−2i−2i2i2i000000000000002i−2i00000
χ492-2-222-22200-2-2-2-22200202-22-200002-222-2-2-200002-22-2000000000000000000000002-22−22−22-22−22−200000000002−22−2002−2000
χ502-2-222-22200-2-2-2-22200202-22-200002-222-2-2-200002-22-2000000000000000000000002-2−22−222-2−22−220000000000−22−2200−22000
χ512-2-222-22200-2-2-2-22200202-22-200002-222-2-2-20000-22-2200000000000000000000000-222−22−2-22−22−2200000000002−22−200−22000
χ522-2-222-22200-2-2-2-22200202-22-200002-222-2-2-20000-22-2200000000000000000000000-22−22−22-222−22−20000000000−22−22002−2000
χ532-2-22-222200-2-2-2-2220020-22-2200002-2-2-222-200002-2-22000000000000000000000002-22−2−22-22−22−2200000000002−2−22002−2000
χ542-2-22-222200-2-2-2-2220020-22-2200002-2-2-222-200002-2-22000000000000000000000002-2−222−2-222−22−20000000000−222−200−22000
χ552-2-22-222200-2-2-2-2220020-22-2200002-2-2-222-20000-222-200000000000000000000000-222−2−222-22−22−200000000002−2−2200−22000
χ562-2-22-222200-2-2-2-2220020-22-2200002-2-2-222-20000-222-200000000000000000000000-22−222−22-2−22−220000000000−222−2002−2000
χ57444444-24-4-4-2-244-2400-2-4-2-2440000-2-2-2-2-2-2-2-4-42200000000000000000002-4222200000000000000000000000000000000000
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
χ624444-4-4-24-4-4-2-244-2400-2422-4-40000-2-22222-2-4-4220000000000000000000-2422-2-200000000000000000000000000000000000
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
χ6744-4-40044004-44-4-4-4004000000000-440000-4000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ6844-4-40044004-44-4-4-4004000000000-440000-40000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ694-44-40044-44-44-44-4-4004000000000-4-400004-44-44000000000000000000000-440000000000000000000000000000000000000
χ704-44-4004-24-4-442-2-424-4-200000-22-22220000-2-224-4000004-40000-22-22000000-220000000000000000000000000000000000000
χ714-44-4004-24-4-442-2-42-44-2000002-22-2220000-2-224-400000-4400002-22-2000000-220000000000000000000000000000000000000
χ724-44-4004-2-44-442-2-4200-200000−2i32i32i3−2i3220000-22-2-4400000000000−2i32i32i3−2i30000002-20000000000000000000000000000000000000
χ734-44-4004-2-44-442-2-4200-2000002i3−2i3−2i32i3220000-22-2-44000000000002i3−2i3−2i32i30000002-20000000000000000000000000000000000000
χ744-44-400-244-42-2-442-44-4-2000004-44-4220000-24-4-2200000-220000-22-22000000-220000000000000000000000000000000000000
χ754-44-400-244-42-2-442-4-44-200000-44-44220000-24-4-22000002-200002-22-2000000-220000000000000000000000000000000000000
χ764-44-400-24-442-2-442-400-2000000000220000-2-442-20000000−2i32i3000000−2i32i3−2i32i3002-20000000000000000000000000000000000000
χ774-44-400-24-442-2-442-400-2000000000220000-2-442-200000002i3−2i30000002i3−2i32i3−2i3002-20000000000000000000000000000000000000
χ784-44-400-2-24-42-22-2224-4100000-22-22-1-13-33-31-22-2200000-2200001-11-13-3-33001-13-300000000000000000000000000000000000
χ794-44-400-2-24-42-22-2224-4100000-22-22-1-1-33-331-22-2200000-2200001-11-1-333-3001-1-3300000000000000000000000000000000000
χ804-44-400-2-24-42-22-222-441000002-22-2-1-13-33-31-22-22000002-20000-11-11-333-3001-13-300000000000000000000000000000000000
χ814-44-400-2-24-42-22-222-441000002-22-2-1-1-33-331-22-22000002-20000-11-113-3-33001-1-3300000000000000000000000000000000000
χ824-44-400-2-2-442-22-22200100000−2i32i32i3−2i3-1-13-33-312-22-200000002i3−2i300i3−i3−i3i3−i3i3−i3i300-11-3300000000000000000000000000000000000
χ834-44-400-2-2-442-22-22200100000−2i32i32i3−2i3-1-1-33-3312-22-20000000−2i32i300i3−i3−i3i3i3−i3i3−i300-113-300000000000000000000000000000000000
χ844-44-400-2-2-442-22-222001000002i3−2i3−2i32i3-1-13-33-312-22-20000000−2i32i300−i3i3i3−i3i3−i3i3−i300-11-3300000000000000000000000000000000000
χ854-44-400-2-2-442-22-222001000002i3−2i3−2i32i3-1-1-33-3312-22-200000002i3−2i300−i3i3i3−i3−i3i3−i3i300-113-300000000000000000000000000000000000
χ864-4-444-44-200-4-4224-200-204-4-220000-22-2-222200004-44-400000000000000000000000-220000-220000000000000000000000000
χ874-4-444-44-200-4-4224-200-204-4-220000-22-2-22220000-44-44000000000000000000000002-200002-20000000000000000000000000
χ884-4-444-4-240022-4-4-2400-20-224-40000-22-2-222200000000000000000000000000000000022−2222−220000000000000000−22−220000000
χ894-4-444-4-240022-4-4-2400-20-224-40000-22-2-2222000000000000000000000000000000000−2222−222200000000000000002−22−20000000
χ904-4-44-444-200-4-4224-200-20-442-20000-2222-2-2200004-4-4400000000000000000000000-2200002-20000000000000000000000000
χ914-4-44-444-200-4-4224-200-20-442-20000-2222-2-220000-444-4000000000000000000000002-20000-220000000000000000000000000
χ924-4-44-44-240022-4-4-2400-202-2-440000-2222-2-2200000000000000000000000000000000022−22−22220000000000000000−222−20000000
χ934-4-44-44-240022-4-4-2400-202-2-440000-2222-2-22000000000000000000000000000000000−222222−2200000000000000002−2−220000000
χ9488-8-8008-4008-8-44-8400-40000000004-4000040000000000000000000000000000000000000000000000000000000000000000
χ9588-8-800-4800-448-84-800-40000000004-4000040000000000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-400-44-4444002000000000-226-6-66-20000000000000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-400-44-4444002000000000-22-666-6-20000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-8-4-4004444-4-40020-44-4400002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-88-4-4004444-4-400204-44-400002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000

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