Finite Group Databasebeta

← Group #11782576

Character table — Group #11782576

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222244444444444444446666666666666666888888121212121212121212121212121212121616161616161616161818181818181818484848484848144
order12223344444466666636661212121212121212121212128888888888888888121212121212242424242424242424242424242424242666666668888888844121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1
χ922222222-2-2-2-22222222222-2-2-2-222-2-222-2-2000000002222-2-2-2-222-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ1022222222-2-2-2-22222222222-2-2-2-222-2-222-2-200000000-2-2-2-2222222-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ11222222-2-222-2-2222222222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ12222222-2-222-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000-2-222-2-2-2-2-2-2222200000000000000000000000000000000
χ13222222-2-2-2-2222222222222-2-222-2-222-2-2-2-20000000000000000-2-2-2-22200000000000000000000000002222-2-2-2-20000000
χ14222222-2-2-2-2222222222222-2-222-2-222-2-2-2-20000000000000000-2-2-2-2220000000000000000000000000-2-2-2-222220000000
χ1522222-122222222-1-12-1-1-1-1-122-1-1-1-12222-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222-1-1-1-1-1-10000000020-1-1000
χ1622222-122222222-1-12-1-1-1-1-122-1-1-1-12222-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-211111100000000-2011000
χ1722222-122222222-1-12-1-1-1-1-122-1-1-1-12222-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000222-1-1-1-1-1-100000000-2011000
χ1822222-122222222-1-12-1-1-1-1-122-1-1-1-12222-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000-2-2-21111110000000020-1-1000
χ1922222-1-2-222-2-222-1-12-1-1-1-1-1221111-2-2-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-1111100000000000−i3i3−i3−i3i3i30000000000−i3i3000
χ2022222-1-2-222-2-222-1-12-1-1-1-1-1221111-2-2-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-1111100000000000i3−i3i3i3−i3−i30000000000i3−i3000
χ2122222-1-2-222-2-222-1-12-1-1-1-1-1221111-2-2-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-100000000000−i3i3−i3−i3i3i30000000000i3−i3000
χ2222222-1-2-222-2-222-1-12-1-1-1-1-1221111-2-2-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-100000000000i3−i3i3i3−i3−i30000000000−i3i3000
χ232222-12222222-1-122-12-1-1-1-1-1-12222-1-1-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000200-1-10
χ242222-12222222-1-122-12-1-1-1-1-1-12222-1-1-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-211-2-21111000000000-200110
χ252222-12222222-1-122-12-1-1-1-1-1-12222-1-1-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000111111112-1-122-1-1-1-1000000000-200110
χ262222-12222222-1-122-12-1-1-1-1-1-12222-1-1-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111-211-2-21111000000000200-1-10
χ272222-1222-2-2-2-2-1-122-12-1-1-1-111-2-22211-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-111110−i3i300−i3i3−i3i3000000000000−i3i30
χ282222-1222-2-2-2-2-1-122-12-1-1-1-111-2-22211-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-111110i3−i300i3−i3i3−i3000000000000i3−i30
χ292222-1222-2-2-2-2-1-122-12-1-1-1-111-2-22211-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-10−i3i300−i3i3−i3i3000000000000i3−i30
χ302222-1222-2-2-2-2-1-122-12-1-1-1-111-2-22211-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-10i3−i300i3−i3i3−i3000000000000−i3i30
χ3122-2-22200002-2-2-22-22-222-2-2002-2002-20000−i2−i2i2i2−i2−i2i2i222−2−222−2−200002-2−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000000002i2i−2i−2i0000000
χ3222-2-22200002-2-2-22-22-222-2-2002-2002-20000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002-2−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000−2i−2i2i2i0000000
χ3322-2-22200002-2-2-22-22-222-2-2002-2002-20000i2i2−i2−i2i2i2−i2−i222−2−222−2−200002-2i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000−2i−2i2i2i0000000
χ3422-2-22200002-2-2-22-22-222-2-2002-2002-20000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200002-2i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000000002i2i−2i−2i0000000
χ3522-2-2220000-22-2-22-22-222-2-200-2200-220000−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000-22−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000002i2i−2i−2i00000000000
χ3622-2-2220000-22-2-22-22-222-2-200-2200-220000−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000-22−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000−2i−2i2i2i00000000000
χ3722-2-2220000-22-2-22-22-222-2-200-2200-220000i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000-22i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000−2i−2i2i2i00000000000
χ3822-2-2220000-22-2-22-22-222-2-200-2200-220000i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000-22i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000002i2i−2i−2i00000000000
χ392-22-2222-200002-2-2-2-222-22-200002-2002-2002−22−22−22−200002i−2i2i−2i2-200002−22−22−22−200002i−2i2i−2i000000000−i2i2−i2i2−i2i2−i2i20000000
χ402-22-2222-200002-2-2-2-222-22-200002-2002-2002−22−22−22−20000−2i2i−2i2i2-200002−22−22−22−20000−2i2i−2i2i000000000i2−i2i2−i2i2−i2i2−i20000000
χ412-22-2222-200002-2-2-2-222-22-200002-2002-200−22−22−22−2200002i−2i2i−2i2-20000−22−22−22−2200002i−2i2i−2i000000000i2−i2i2−i2i2−i2i2−i20000000
χ422-22-2222-200002-2-2-2-222-22-200002-2002-200−22−22−22−220000−2i2i−2i2i2-20000−22−22−22−220000−2i2i−2i2i000000000−i2i2−i2i2−i2i2−i2i20000000
χ432-22-222-2200002-2-2-2-222-22-20000-2200-22002−22−2−22−222i−2i2i−2i0000-2200002−22−2−22−222i−2i2i−2i0000000000000−i2i2−i2i2i2−i2i2−i20000000
χ442-22-222-2200002-2-2-2-222-22-20000-2200-22002−22−2−22−22−2i2i−2i2i0000-2200002−22−2−22−22−2i2i−2i2i0000000000000i2−i2i2−i2−i2i2−i2i20000000
χ452-22-222-2200002-2-2-2-222-22-20000-2200-2200−22−222−22−22i−2i2i−2i0000-220000−22−222−22−22i−2i2i−2i0000000000000i2−i2i2−i2−i2i2−i2i20000000
χ462-22-222-2200002-2-2-2-222-22-20000-2200-2200−22−222−22−2−2i2i−2i2i0000-220000−22−222−22−2−2i2i−2i2i0000000000000−i2i2−i2i2i2−i2i2−i20000000
χ472-2-2222002-200-22-22-2-22-2-222-2000000002-200002i−2i−2i2i−i2i2i2−i2−i2i2i2−i2002-20000002i−2i−2i2i−i2i2i2−i2−i2i2i2−i20000000002−2−222−2−220000000
χ482-2-2222002-200-22-22-2-22-2-222-2000000002-200002i−2i−2i2ii2−i2−i2i2i2−i2−i2i2002-20000002i−2i−2i2ii2−i2−i2i2i2−i2−i2i2000000000−222−2−222−20000000
χ492-2-2222002-200-22-22-2-22-2-222-2000000002-20000−2i2i2i−2i−i2i2i2−i2−i2i2i2−i2002-2000000−2i2i2i−2i−i2i2i2−i2−i2i2i2−i2000000000−222−2−222−20000000
χ502-2-2222002-200-22-22-2-22-2-222-2000000002-20000−2i2i2i−2ii2−i2−i2i2i2−i2−i2i2002-2000000−2i2i2i−2ii2−i2−i2i2i2−i2−i2i20000000002−2−222−2−220000000
χ512-2-222200-2200-22-22-2-22-2-22-2200000000-222i−2i−2i2i0000−i2i2i2−i2i2−i2−i2i200-22002i−2i−2i2i0000−i2i2i2−i2i2−i2−i2i20000000002−2−22−222−20000000
χ522-2-222200-2200-22-22-2-22-2-22-2200000000-222i−2i−2i2i0000i2−i2−i2i2−i2i2i2−i200-22002i−2i−2i2i0000i2−i2−i2i2−i2i2i2−i2000000000−222−22−2−220000000
χ532-2-222200-2200-22-22-2-22-2-22-2200000000-22−2i2i2i−2i0000−i2i2i2−i2i2−i2−i2i200-2200−2i2i2i−2i0000−i2i2i2−i2i2−i2−i2i2000000000−222−22−2−220000000
χ542-2-222200-2200-22-22-2-22-2-22-2200000000-22−2i2i2i−2i0000i2−i2−i2i2−i2i2i2−i200-2200−2i2i2i−2i0000i2−i2−i2i2−i2i2i2−i20000000002−2−22−222−20000000
χ5544444-244-4-4-4-444-2-24-2-2-2-2-2-4-422-2-2-4-444220000000000000000-2-222220000000000000000000000000000000000000000
χ5644444-2-4-4-4-44444-2-24-2-2-2-2-2-4-4-2-22244-4-42200000000000000002222-2-20000000000000000000000000000000000000000
χ574444-24-4-444-4-4-2-244-24-2-2-2-2-2-2-4-4-4-4222244000000000000000022-2-2220000000000000000000000000000000000000000
χ584444-24-4-4-4-444-2-244-24-2-2-2-22244-4-4-2-222-4-400000000000000002222-2-20000000000000000000000000000000000000000
χ594444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000004-2-2-2-21111000000000000000
χ604444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000000000001111110000000000000000-42222-1-1-1-1000000000000000
χ614444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-222-2-222000000000000000011-1-1-1-100000000000000000−2i32i300i3−i3i3−i3000000000000000
χ624444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-222-2-222000000000000000011-1-1-1-1000000000000000002i3−2i300−i3i3−i3i3000000000000000
χ634444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222222222-2-20000000000000000-1-111-1-10000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ644444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222222222-2-20000000000000000-1-111-1-100000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ654444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-222-2-222220000000000000000-1-1-1-1110000000000000000000003-3-33000000000000000
χ664444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-222-2-222220000000000000000-1-1-1-111000000000000000000000-333-3000000000000000
χ6744-4-44-200004-4-4-4-2242-2-22200-22004-40000−2i2−2i22i22i2−2i2−2i22i22i2000000000000-22i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ6844-4-44-200004-4-4-4-2242-2-22200-22004-400002i22i2−2i2−2i22i22i2−2i2−2i2000000000000-22−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ6944-4-44-20000-44-4-4-2242-2-222002-200-440000−2i2−2i22i22i22i22i2−2i2−2i20000000000002-2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ7044-4-44-20000-44-4-4-2242-2-222002-200-4400002i22i2−2i2−2i2−2i2−2i22i22i20000000000002-2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ7144-4-4-2400004-4224-4-2-4-2-222004-400-220000000000002222−22−222222−22−220000-2200000000−2−222−2−222000000000000000000000000
χ7244-4-4-2400004-4224-4-2-4-2-222004-400-22000000000000−22−222222−22−2222220000-220000000022−2−222−2−2000000000000000000000000
χ7344-4-4-240000-44224-4-2-4-2-22200-44002-20000000000002222−22−22−22−22222200002-200000000−2−22222−2−2000000000000000000000000
χ7444-4-4-240000-44224-4-2-4-2-22200-44002-2000000000000−22−2222222222−22−2200002-20000000022−2−2−2−222000000000000000000000000
χ754-44-44-24-400004-422-4-2-22-220000-22004-40022−2222−2222−2222−2200000000-220000−22−22−22−2200000000000000000000000000000000
χ764-44-44-24-400004-422-4-2-22-220000-22004-400−2222−2222−2222−222200000000-2200002−22−22−22−200000000000000000000000000000000
χ774-44-44-2-4400004-422-4-2-22-2200002-200-440022−2222−22−2222−2222000000002-20000−22−222−22−200000000000000000000000000000000
χ784-44-44-2-4400004-422-4-2-22-2200002-200-4400−2222−222222−2222−22000000002-200002−22−2−22−2200000000000000000000000000000000
χ794-44-4-244-40000-22-4-424-22-2200004-400-22000000000000004i−4i4i−4i-220000000000000000−2i2i−2i2i000000000000000000000000
χ804-44-4-244-40000-22-4-424-22-2200004-400-2200000000000000−4i4i−4i4i-2200000000000000002i−2i2i−2i000000000000000000000000
χ814-44-4-24-440000-22-4-424-22-220000-44002-200000000004i−4i4i−4i00002-2000000000000−2i2i−2i2i0000000000000000000000000000
χ824-44-4-24-440000-22-4-424-22-220000-44002-20000000000−4i4i−4i4i00002-20000000000002i−2i2i−2i0000000000000000000000000000
χ834-4-444-2004-400-442-2-42-222-24-400000000-2200004i−4i−4i4i0000000000-22000000−2i2i2i−2i00000000000000000000000000000000
χ844-4-444-2004-400-442-2-42-222-24-400000000-220000−4i4i4i−4i0000000000-220000002i−2i−2i2i00000000000000000000000000000000
χ854-4-444-200-4400-442-2-42-222-2-44000000002-24i−4i−4i4i000000000000002-200−2i2i2i−2i000000000000000000000000000000000000
χ864-4-444-200-4400-442-2-42-222-2-44000000002-2−4i4i4i−4i000000000000002-2002i−2i−2i2i000000000000000000000000000000000000
χ874-4-44-24004-4002-2-442-4-222-2-22000000004-400000000−2i22i22i2−2i2−2i22i22i2−2i200-220000000000i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ884-4-44-24004-4002-2-442-4-222-2-22000000004-4000000002i2−2i2−2i22i22i2−2i2−2i22i200-220000000000−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ894-4-44-2400-44002-2-442-4-222-22-200000000-4400000000−2i22i22i2−2i22i2−2i2−2i22i2002-20000000000i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ904-4-44-2400-44002-2-442-4-222-22-200000000-44000000002i2−2i2−2i22i2−2i22i22i2−2i2002-20000000000−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ9188-8-8-4-400008-844-44-4422-2-200-4400-440000000000000000000000002-20000000000000000000000000000000000000000
χ9288-8-8-4-40000-8844-44-4422-2-2004-4004-4000000000000000000000000-220000000000000000000000000000000000000000
χ938-88-8-4-48-80000-44444-42-22-20000-4400-440000000000000000002-200000000000000000000000000000000000000000000
χ948-88-8-4-4-880000-44444-42-22-200004-4004-4000000000000000000-2200000000000000000000000000000000000000000000
χ958-8-88-4-4008-8004-44-4442-2-22-4400000000-440000000000000000002-2000000000000000000000000000000000000000000
χ968-8-88-4-400-88004-44-4442-2-224-4000000004-4000000000000000000-22000000000000000000000000000000000000000000

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