Finite Group Databasebeta

← Group #11887411

Character table — Group #11887411

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122222334466666622346666666666666661212121244442666666666666661212121212122488881212121288882444612121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
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
χ51111111111111111-1-11111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ61111111111111111-1-11111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11
χ81111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ91111-1-11111111111111-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-111-1-1-1-11-11-11-1-1-11111-1-1-1-1111-11
χ101111-1-11111111111111-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-1111111-111-11-1-1-111-1-11111-1-1-11-1
χ111111-1-11111111111111-1-1-11111-1-111-1-1-1-111111-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-1-1111-1-111-1-111111-1-11-1111-1-111-1-111-1-11-1-1
χ121111-1-11111111111111-1-1-11111-1-111-1-1-1-111111-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-111-111
χ131111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-111-1-1-1-11111-1-111-1-11-111-1-1-1-111-1-1-1-1-11-111-111-1-111-1-11111-11-1
χ141111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-111-1-1-1-11111-1-111-1-11-1-1-111-1-11111111-1-111-111-1-1-1-111-1-1-1-11-11
χ151111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-111-1-1-1-11111-1-111-1-1-1111-1-111-1-11111-111-1-11-1-11111-1-1-1-1-1-1-111
χ161111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-111-1-1-1-11111-1-111-1-1-11-1-11111-1-1-1-1-1-11-11-1-11-1-111-1-11111111-1-1
χ1722222222-2-2222222002-2220000222222222-2-2-2-22222000000000000000-2-2-2-2-2-2-2-20000222200000000-2-2000000000000000
χ1822222222-2-2222222002-2220000222222222-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-2-2220000-2-2-2-20000000022000000000000000
χ192222222-122-1-12-12222-12222222-1-1-1-1-1-1-1-1-122-1-10000222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1002222000000002200000000-1-1-1-10000-1-10
χ202222222-122-1-12-12222-12222222-1-1-1-1-1-1-1-1-122-1-10000222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-100-2-2-2-200000000-2-20000000011110000110
χ212222222-122-1-12-122-2-2-1222-2-2-2-2-1-1-1-1-1-1-1-1-122-1-10000-2-2-2111111111111-12-1-1-1-100222200000000-2-200000000-1-1-1-10000110
χ222222222-122-1-12-122-2-2-1222-2-2-2-2-1-1-1-1-1-1-1-1-122-1-10000-2-2-2111111111111-12-1-1-1-100-2-2-2-200000000220000000011110000-1-10
χ23222222-122222-12-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1220000-1-1-1-100000022-1-1-1-1-1-100000000000
χ24222222-122222-12-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-2-2-2-22-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-2-200001111000000-2-211111100000000000
χ25222222-122222-12-1-1-2-2-12-1-1111122-1-1-1-1-1-1-1-1-1222222-211-2-2-2-2111111112-1-1-1-1-1220000-1-1-1-1000000-2-2-1-1111100000000000
χ26222222-122222-12-1-1-2-2-12-1-1111122-1-1-1-1-1-1-1-1-122-2-2-2-2-211-2-2-2-2111111112-1-1-1-1-1-2-2000011110000002211-1-1-1-100000000000
χ27222222-12-2-222-12-1-100-1-2-1-1−i3−i3i3i322-1-1-1-1-1-1-111-2-222220−i3i30000−i3−i3i3i3−i3−i3i3i3-211111-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ28222222-12-2-222-12-1-100-1-2-1-1−i3−i3i3i322-1-1-1-1-1-1-111-2-2-2-2-2-20−i3i30000−i3−i3i3i3−i3−i3i3i3-211111220000111100000000-1-1i3−i3i3−i300000000000
χ29222222-12-2-222-12-1-100-1-2-1-1i3i3−i3−i322-1-1-1-1-1-1-111-2-222220i3−i30000i3i3−i3−i3i3i3−i3−i3-211111-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ30222222-12-2-222-12-1-100-1-2-1-1i3i3−i3−i322-1-1-1-1-1-1-111-2-2-2-2-2-20i3−i30000i3i3−i3−i3i3i3−i3−i3-211111220000111100000000-1-1−i3i3−i3i300000000000
χ312222-2-222-2-22222220022-2-20000-2-222-2-2-2-22-2-2-2-222-2-200000000000000022-2-222-220000-2-22200000000-22000000000000000
χ322222-2-222-2-22222220022-2-20000-2-222-2-2-2-22-2-2-2-2-2-22200000000000000022-2-2222-2000022-2-2000000002-2000000000000000
χ332222-2-22-122-1-12-12222-1-2-2-2222211-1-11111-122-1-10000-2-2-2-1-111-1-1-1-111111-2-1-1110022-2-2000000002-200000000-1-1110000-110
χ342222-2-22-122-1-12-12222-1-2-2-2222211-1-11111-122-1-10000-2-2-2-1-111-1-1-1-111111-2-1-11100-2-22200000000-220000000011-1-100001-10
χ352222-2-22-122-1-12-122-2-2-1-2-2-2-2-2-2-211-1-11111-122-1-1000022211-1-11111-1-1-1-11-2-1-1110022-2-200000000-2200000000-1-11100001-10
χ362222-2-22-122-1-12-122-2-2-1-2-2-2-2-2-2-211-1-11111-122-1-1000022211-1-11111-1-1-1-11-2-1-11100-2-222000000002-20000000011-1-10000-110
χ372222-2-2-122222-12-1-122-1-211-1-1-1-1-2-2-1-11111-1-1-12222-2-2-21122-2-2-1-1-1-11111-21-1-1112-2000011-1-10000002-2-1111-1-100000000000
χ382222-2-2-122222-12-1-122-1-211-1-1-1-1-2-2-1-11111-1-1-122-2-222-21122-2-2-1-1-1-11111-21-1-111-220000-1-111000000-221-1-1-11100000000000
χ392222-2-2-122222-12-1-1-2-2-1-2111111-2-2-1-11111-1-1-12222-2-22-1-1-2-2221111-1-1-1-1-21-1-1112-2000011-1-1000000-22-11-1-11100000000000
χ402222-2-2-122222-12-1-1-2-2-1-2111111-2-2-1-11111-1-1-122-2-2222-1-1-2-2221111-1-1-1-1-21-1-111-220000-1-1110000002-21-111-1-100000000000
χ412222-2-2-12-2-222-12-1-100-1211−i3−i3i3i3-2-2-1-11111-111-2-222-2-20i3−i30000−i3−i3i3i3i3i3−i3−i32-111-1-1-22000011-1-1000000001-1i3−i3−i3i300000000000
χ422222-2-2-12-2-222-12-1-100-1211−i3−i3i3i3-2-2-1-11111-111-2-2-2-2220i3−i30000−i3−i3i3i3i3i3−i3−i32-111-1-12-20000-1-11100000000-11−i3i3i3−i300000000000
χ432222-2-2-12-2-222-12-1-100-1211i3i3−i3−i3-2-2-1-11111-111-2-222-2-20−i3i30000i3i3−i3−i3−i3−i3i3i32-111-1-1-22000011-1-1000000001-1−i3i3i3−i300000000000
χ442222-2-2-12-2-222-12-1-100-1211i3i3−i3−i3-2-2-1-11111-111-2-2-2-2220−i3i30000i3i3−i3−i3−i3−i3i3i32-111-1-12-20000-1-11100000000-11i3−i3−i3i300000000000
χ4522-2-22-22200-2-222-2-200202-200002-22-222-2-2-200002i−2i2i−2i000000000000000000000002−22−22i−2i2i−2i−i2−i2i2i200000000002−22−200−i2i2000
χ4622-2-22-22200-2-222-2-200202-200002-22-222-2-2-200002i−2i2i−2i00000000000000000000000−22−222i−2i2i−2ii2i2−i2−i20000000000−22−2200i2−i2000
χ4722-2-22-22200-2-222-2-200202-200002-22-222-2-2-20000−2i2i−2i2i000000000000000000000002−22−2−2i2i−2i2ii2i2−i2−i200000000002−22−200i2−i2000
χ4822-2-22-22200-2-222-2-200202-200002-22-222-2-2-20000−2i2i−2i2i00000000000000000000000−22−22−2i2i−2i2i−i2−i2i2i20000000000−22−2200−i2i2000
χ4922-2-2-222200-2-222-2-20020-220000-222-2-2-222-200002i−2i−2i2i000000000000000000000002−2−22−2i2i2i−2ii2i2−i2−i200000000002−2−2200−i2i2000
χ5022-2-2-222200-2-222-2-20020-220000-222-2-2-222-200002i−2i−2i2i00000000000000000000000−222−2−2i2i2i−2i−i2−i2i2i20000000000−222−200i2−i2000
χ5122-2-2-222200-2-222-2-20020-220000-222-2-2-222-20000−2i2i2i−2i000000000000000000000002−2−222i−2i−2i2i−i2−i2i2i200000000002−2−2200i2−i2000
χ5222-2-2-222200-2-222-2-20020-220000-222-2-2-222-20000−2i2i2i−2i00000000000000000000000−222−22i−2i−2i2ii2i2−i2−i20000000000−222−200−i2i2000
χ532-22-200222-2-22-2-2-222-220002-22-200-2-2000022-22-200000002-2002-22-20000002-20000000000002i−2i2i−2i000000000000002i−2i00000
χ542-22-200222-2-22-2-2-222-220002-22-200-2-2000022-22-200000002-2002-22-20000002-2000000000000−2i2i−2i2i00000000000000−2i2i00000
χ552-22-200222-2-22-2-2-22-222000-22-2200-2-2000022-22-20000000-2200-22-220000002-20000000000002i−2i2i−2i00000000000000−2i2i00000
χ562-22-200222-2-22-2-2-22-222000-22-2200-2-2000022-22-20000000-2200-22-220000002-2000000000000−2i2i−2i2i000000000000002i−2i00000
χ574444444-2-4-4-2-24-24400-2-4440000-2-2-2-2-2-2-2-2-2-4-42200000000000000000002-4222200000000000000000000000000000000000
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
χ59444444-2-244-2-2-2-2-2-2-4-414-2-22222-2-21111111-2-2-2-20000-4222222-1-1-1-1-1-1-1-1-2-2111100000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2001-4-2-2−2i3−2i32i32i3-2-21111111222200000−2i32i30000i3i3−i3−i3i3i3−i3−i322-1-1-1-100000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2001-4-2-22i32i3−2i3−2i3-2-211111112222000002i3−2i30000−i3−i3i3i3−i3−i3i3i322-1-1-1-100000000000000000000000000000000000
χ624444-4-44-2-4-4-2-24-24400-24-4-4000022-2-22222-2-4-4220000000000000000000-2422-2-200000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-2441-422-2-2-2-22211-1-1-1-11-2-2-2-20000-422-2-2221111-1-1-1-12211-1-100000000000000000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-2-4-41-42222222211-1-1-1-11-2-2-2-200004-2-222-2-2-1-1-1-111112211-1-100000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-2001422−2i3−2i32i32i32211-1-1-1-112222000002i3−2i30000i3i3−i3−i3−i3−i3i3i3-2-2-1-11100000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-20014222i32i3−2i3−2i32211-1-1-1-11222200000−2i32i30000−i3−i3i3i3i3i3−i3−i3-2-2-1-11100000000000000000000000000000000000
χ6744-4-44-44-200224-2-4-400-204-40000-22-22-2-2222000000000000000000000000000000022−2222−22000000000000000000−22−220000000
χ6844-4-44-44-200224-2-4-400-204-40000-22-22-2-22220000000000000000000000000000000−2222−22220000000000000000002−22−20000000
χ6944-4-44-4-2400-4-4-242200-20-2200004-4-22-2-222200004i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ7044-4-44-4-2400-4-4-242200-20-2200004-4-22-2-22220000−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ7144-4-4-444-200224-2-4-400-20-4400002-2-2222-2-22000000000000000000000000000000022−22−2222000000000000000000−222−20000000
χ7244-4-4-444-200224-2-4-400-20-4400002-2-2222-2-220000000000000000000000000000000−222222−220000000000000000002−2−220000000
χ7344-4-4-44-2400-4-4-242200-202-20000-44-2222-2-2200004i−4i−4i4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ7444-4-4-44-2400-4-4-242200-202-20000-44-2222-2-220000−4i4i4i−4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ754-44-40044-44-44-4-4-44004000000000-4-400004-44-44000000000000000000000-440000000000000000000000000000000000000
χ764-44-4004-24-42-2-42-444-4-20004-44-400220000-24-4-220000000-2200-22-22000000-220000000000000000000000000000000000000
χ774-44-4004-24-42-2-42-44-44-2000-44-4400220000-24-4-2200000002-2002-22-2000000-220000000000000000000000000000000000000
χ784-44-4004-2-442-2-42-4400-2000000000220000-2-442-2000000000−2i32i30000−2i32i3−2i32i3002-20000000000000000000000000000000000000
χ794-44-4004-2-442-2-42-4400-2000000000220000-2-442-20000000002i3−2i300002i3−2i32i3−2i3002-20000000000000000000000000000000000000
χ804-44-400-244-4-442-42-24-4-2000-22-2200220000-2-224-400000004-400-22-22000000-220000000000000000000000000000000000000
χ814-44-400-244-4-442-42-2-44-20002-22-200220000-2-224-40000000-44002-22-2000000-220000000000000000000000000000000000000
χ824-44-400-24-44-442-42-200-2000−2i32i32i3−2i300220000-22-2-4400000000000−2i32i32i3−2i30000002-20000000000000000000000000000000000000
χ834-44-400-24-44-442-42-200-20002i3−2i3−2i32i300220000-22-2-44000000000002i3−2i3−2i32i30000002-20000000000000000000000000000000000000
χ844-44-400-2-24-42-2222-24-41000-22-2200-1-13-33-31-22-220000000-22001-11-13-3-33001-13-300000000000000000000000000000000000
χ854-44-400-2-24-42-2222-24-41000-22-2200-1-1-33-331-22-220000000-22001-11-1-333-3001-1-3300000000000000000000000000000000000
χ864-44-400-2-24-42-2222-2-4410002-22-200-1-13-33-31-22-2200000002-200-11-11-333-3001-13-300000000000000000000000000000000000
χ874-44-400-2-24-42-2222-2-4410002-22-200-1-1-33-331-22-2200000002-200-11-113-3-33001-1-3300000000000000000000000000000000000
χ884-44-400-2-2-442-2222-2001000−2i32i32i3−2i300-1-13-33-312-22-20000000002i3−2i3i3−i3−i3i3−i3i3−i3i300-11-3300000000000000000000000000000000000
χ894-44-400-2-2-442-2222-2001000−2i32i32i3−2i300-1-1-33-3312-22-2000000000−2i32i3i3−i3−i3i3i3−i3i3−i300-113-300000000000000000000000000000000000
χ904-44-400-2-2-442-2222-20010002i3−2i3−2i32i300-1-13-33-312-22-2000000000−2i32i3−i3i3i3−i3i3−i3i3−i300-11-3300000000000000000000000000000000000
χ914-44-400-2-2-442-2222-20010002i3−2i3−2i32i300-1-1-33-3312-22-20000000002i3−2i3−i3i3i3−i3−i3i3−i3i300-113-300000000000000000000000000000000000
χ924-4-440044004-4-4-44-4004000000000-440000-400000000000000000000000000000000000000022−22−2222000000000000000000000
χ934-4-440044004-4-4-44-4004000000000-440000-4000000000000000000000000000000000000000−222222−22000000000000000000000
χ9488-8-88-8-4-40044-4-4440020-440000-442-222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-4-40044-4-44400204-400004-42-2-2-222-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-88008-400-44-848-800-40000000004-4000040000000000000000000000000000000000000000000000000000000000000000
χ978-8-8800-48008-84-8-4400-40000000004-4000040000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-400-4444-44002000000000-226-6-66-20000000000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4-400-4444-44002000000000-22-666-6-20000000000000000000000000000000000000000000000000000000000000000

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