Finite Group Databasebeta

← Group #11867154

Character table — Group #11867154

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order122222334444666666366666661212121212121212224412121212446612121212121212122466668888121224242424242424241212121212122244661212888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111111111111111-11-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111-1-1111-1-111111111-1-1-1-11111-1-111-1-11111111111-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-1-111-1-1-11111-1-11-11-1
χ101111-1-1111-1-111111111-1-1-1-11111-1-111-1-11111111111-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111-11-11
χ111111-1-1111-1-111111111-1-1-1-11111-1-111-1-1111111111-11-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-1111-1-1111-1-111-1-1-11-11
χ121111-1-1111-1-111111111-1-1-1-11111-1-111-1-1111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-1111-11-1
χ131111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-11111-1-1111111-1-1-1-11-111-1-111-1-111-1-1-1-1111-1-11
χ141111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111111-111-1-11-1-1111-1-111-1-1-111-1
χ151111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-1-11-1-111-1-111-1-111-1-111-111-1
χ161111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-11-1-111-111-1-1-11111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-200220000-2-2-2-22-222220000-2-2000000000000000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-222222200220000-2-2-2-2-22-2-2-2-2000022000000000000000000000000000000
χ192222222-122222-122-1-1-122-1-1-1-1-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-10000000022-1-1-1-12020-1-1-1-100000000
χ202222222-122222-122-1-1-122-1-1-1-1-1222-1-1-1-122222-1-1-1-1-2-2-1-11111-1-1-1-122-1-1-1-10000-1-100000000-2-21111-20-20111100000000
χ212222222-122222-122-1-1-122-1-1-1-1-1222-1-1-1-12-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-211110000110000000022-1-1-1-1-20-20111100000000
χ222222222-122222-122-1-1-122-1-1-1-1-1222-1-1-1-12-2-2-2-21111-2-2-1-11111-1-1-1-1-2-2111100001100000000-2-211112020-1-1-1-100000000
χ232222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-2-2-21111-222-2-2111100-1-1−i3i3−i3i311112-2-1-1-1-10000110000000000−i3i3−i3i30000−i3i3−i3i300000000
χ242222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-2-2-21111-222-2-2111100-1-1i3−i3i3−i311112-2-1-1-1-10000110000000000i3−i3i3−i30000i3−i3i3−i300000000
χ252222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-2-2-21111-2-2-222-1-1-1-100-1-1−i3i3−i3i31111-2211110000-1-10000000000−i3i3−i3i30000i3−i3i3−i300000000
χ262222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-2-2-21111-2-2-222-1-1-1-100-1-1i3−i3i3−i31111-2211110000-1-10000000000i3−i3i3−i30000−i3i3−i3i300000000
χ27222222-122222-12-1-122-1-1-122-1-1-1-1-1-12222-10000000022-1-12222-1-1-1-1000000222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200000000-1-100
χ28222222-122222-12-1-122-1-1-122-1-1-1-1-1-12222-10000000022-1-12222-1-1-1-1000000-2-2-2-20011111111-1-1-1-1-1-10-20-2000000001100
χ29222222-122222-12-1-122-1-1-122-1-1-1-1-1-12222-100000000-2-2-1-1-2-2-2-2-1-1-1-1000000222200-1-1-1-1-1-1-1-11111110-20-2000000001100
χ30222222-122222-12-1-122-1-1-122-1-1-1-1-1-12222-100000000-2-2-1-1-2-2-2-2-1-1-1-1000000-2-2-2-20011111111111111020200000000-1-100
χ312222-2-222-222-22222222-2-2-2-2222-222-2-222-222-2-2-2-2-2-200-2-20000-2-222-2222-2-2000022000000000000000000000000000000
χ322222-2-222-222-22222222-2-2-2-2222-222-2-222-2-2-222222200-2-20000-2-2222-2-2-2220000-2-2000000000000000000000000000000
χ332222-2-22-12-2-222-122-1-1-1-2-211-1-1-12-2-2-1-11122222-1-1-1-12-211-1-111-1-111-2-2-1-111000011000000002-2-1-111-202011-1-100000000
χ342222-2-22-12-2-222-122-1-1-1-2-211-1-1-12-2-2-1-11122222-1-1-1-1-221111-1-1-1-111-2-2-1-11100001100000000-2211-1-120-20-1-11100000000
χ352222-2-22-12-2-222-122-1-1-1-2-211-1-1-12-2-2-1-1112-2-2-2-211112-211-1-111-1-1112211-1-10000-1-1000000002-2-1-11120-20-1-11100000000
χ362222-2-22-12-2-222-122-1-1-1-2-211-1-1-12-2-2-1-1112-2-2-2-21111-221111-1-1-1-1112211-1-10000-1-100000000-2211-1-1-202011-1-100000000
χ372222-2-22-1-222-22-122-1-1-1-2-211-1-1-1-22211-1-1-222-2-211110011−i3i3i3−i311-1-1-22-1-1110000-1-10000000000−i3i3i3−i30000i3−i3−i3i300000000
χ382222-2-22-1-222-22-122-1-1-1-2-211-1-1-1-22211-1-1-222-2-211110011i3−i3−i3i311-1-1-22-1-1110000-1-10000000000i3−i3−i3i30000−i3i3i3−i300000000
χ392222-2-22-1-222-22-122-1-1-1-2-211-1-1-1-22211-1-1-2-2-222-1-1-1-10011−i3i3i3−i311-1-12-211-1-10000110000000000−i3i3i3−i30000−i3i3i3−i300000000
χ402222-2-22-1-222-22-122-1-1-1-2-211-1-1-1-22211-1-1-2-2-222-1-1-1-10011i3−i3−i3i311-1-12-211-1-10000110000000000i3−i3−i3i30000i3−i3−i3i300000000
χ412222-2-2-122-2-22-12-1-122-111-2-2-1-1-1-11122-2-2-1000000002-21122-2-2-1-11100000022-2-200-1-1-1-11111-11-1-111020-200000000-1100
χ422222-2-2-122-2-22-12-1-122-111-2-2-1-1-1-11122-2-2-1000000002-21122-2-2-1-111000000-2-222001111-1-1-1-1-11-1-1110-202000000001-100
χ432222-2-2-122-2-22-12-1-122-111-2-2-1-1-1-11122-2-2-100000000-2211-2-222-1-11100000022-2-200-1-1-1-111111-111-1-10-202000000001-100
χ442222-2-2-122-2-22-12-1-122-111-2-2-1-1-1-11122-2-2-100000000-2211-2-222-1-111000000-2-222001111-1-1-1-11-111-1-1020-200000000-1100
χ452-22-20022200-2-2-22-2-2220000-2-222002-200-22-22-222-2-2000000002-200002-2002i−2i00002i2i−2i−2i0000000000000000002i−2i000000
χ462-22-20022200-2-2-22-2-2220000-2-222002-200-22-22-222-2-2000000002-200002-200−2i2i0000−2i−2i2i2i000000000000000000−2i2i000000
χ472-22-20022200-2-2-22-2-2220000-2-222002-200-2-22-22-2-222000000002-20000-22002i−2i00002i2i−2i−2i000000000000000000−2i2i000000
χ482-22-20022200-2-2-22-2-2220000-2-222002-200-2-22-22-2-222000000002-20000-2200−2i2i0000−2i−2i2i2i0000000000000000002i−2i000000
χ492-22-20022-2002-2-22-2-2220000-2-22-200-220022-2-22-2-22200000000-2200002-200002-200000022-2-200000000000000002-20000
χ502-22-20022-2002-2-22-2-2220000-2-22-200-220022-2-22-2-22200000000-2200002-20000-22000000-2-2220000000000000000-220000
χ512-22-20022-2002-2-22-2-2220000-2-22-200-22002-222-222-2-200000000-220000-2200002-200000022-2-20000000000000000-220000
χ522-22-20022-2002-2-22-2-2220000-2-22-200-22002-222-222-2-200000000-220000-220000-22000000-2-22200000000000000002-20000
χ53444444-24-4-4-4-4-24-2-244-2-2-244-2-2-2222-4-4-4-420000000000-2-200002222000000000000000000000000000000000000000000
χ54444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2000000004411-2-2-2-2111100000000000000000000-2-211110000000000000000
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-200000000-4-411222211110000000000000000000022-1-1-1-10000000000000000
χ56444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222222000000000011−2i32i3−2i32i3-1-1-1-10000000000000000000000i3−i3i3−i30000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222220000000000112i3−2i32i3−2i3-1-1-1-10000000000000000000000−i3i3−i3i30000000000000000
χ584444-4-4-24-444-4-24-2-244-222-4-4-2-2-22-2-2-4-4442000000000022000022-2-2000000000000000000000000000000000000000000
χ594444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-2-222-2000000004-4-1-1-2-22211-1-100000000000000000000-2211-1-10000000000000000
χ604444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-2-222-200000000-44-1-122-2-211-1-1000000000000000000002-2-1-1110000000000000000
χ614444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-222-2-220000000000-1-1−2i32i32i3−2i3-1-1110000000000000000000000i3−i3−i3i30000000000000000
χ624444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-222-2-220000000000-1-12i3−2i3−2i32i3-1-1110000000000000000000000−i3i3i3−i30000000000000000
χ6344-4-4004404i−4i044-4-4-4-440000-44-404i−4i004i−4i00000000000000000004i−4i000000000000000000000000000000000000000000
χ6444-4-400440−4i4i044-4-4-4-440000-44-40−4i4i00−4i4i0000000000000000000−4i4i000000000000000000000000000000000000000000
χ6544-4-4004-204i−4i04-2-4-422-200002-2204i−4i00−2i2i0000023−2323−230000000000−2i2i0000−2i32i3000000000000000000000000000000000000
χ6644-4-4004-204i−4i04-2-4-422-200002-2204i−4i00−2i2i00000−2323−23230000000000−2i2i00002i3−2i3000000000000000000000000000000000000
χ6744-4-4004-20−4i4i04-2-4-422-200002-220−4i4i002i−2i0000023−2323−2300000000002i−2i00002i3−2i3000000000000000000000000000000000000
χ6844-4-4004-20−4i4i04-2-4-422-200002-220−4i4i002i−2i00000−2323−232300000000002i−2i0000−2i32i3000000000000000000000000000000000000
χ6944-4-400-2404i−4i0-2422-4-4-200002-220−2i2i004i−4i0000000000000000000−2i2i000000000000i6−i6i6−i66−66−60000000000000000000000
χ7044-4-400-2404i−4i0-2422-4-4-200002-220−2i2i004i−4i0000000000000000000−2i2i000000000000−i6i6−i6i6−66−660000000000000000000000
χ7144-4-400-240−4i4i0-2422-4-4-200002-2202i−2i00−4i4i00000000000000000002i−2i000000000000i6−i6i6−i6−66−660000000000000000000000
χ7244-4-400-240−4i4i0-2422-4-4-200002-2202i−2i00−4i4i00000000000000000002i−2i000000000000−i6i6−i6i66−66−60000000000000000000000
χ734-44-4004-2400-4-424-42-2-2000022-2400-2200-44-44-4-2-22200000000-220000-2200000000000000000000000000000000000000
χ744-44-4004-2400-4-424-42-2-2000022-2400-2200-4-44-4422-2-200000000-2200002-200000000000000000000000000000000000000
χ754-44-4004-2-4004-424-42-2-2000022-2-4002-20044-4-4422-2-2000000002-20000-2200000000000000000000000000000000000000
χ764-44-4004-2-4004-424-42-2-2000022-2-4002-2004-444-4-2-222000000002-200002-200000000000000000000000000000000000000
χ774-44-400-24400-42-4-22-44-2000022-2-2004-40020000000000000000-22000000004i−4i0000−2i−2i2i2i00000000000000000000000000
χ784-44-400-24400-42-4-22-44-2000022-2-2004-40020000000000000000-2200000000−4i4i00002i2i−2i−2i00000000000000000000000000
χ794-44-400-24-40042-4-22-44-2000022-2200-4400-200000000000000002-200000000004-4000000-2-2220000000000000000000000
χ804-44-400-24-40042-4-22-44-2000022-2200-4400-200000000000000002-20000000000-4400000022-2-20000000000000000000000
χ814-4-444-4440000-4-4-444-444-44-44-4-40000000000000000004-400000000000000000000000000000000000000000000000000
χ824-4-444-44-20000-42-44-22-24-4-22-22200000000000023−23−232300-2200000000000000000023−23000000000000000000000000000000
χ834-4-444-44-20000-42-44-22-24-4-22-222000000000000−232323−2300-22000000000000000000−2323000000000000000000000000000000
χ844-4-444-4-2400002-42-24-4-2-224-4-222000000000000000000-22000000000000000000006−6−666−6−660000000000000000000000
χ854-4-444-4-2400002-42-24-4-2-224-4-222000000000000000000-2200000000000000000000−666−6−666−60000000000000000000000
χ864-4-44-44440000-4-4-444-44-44-444-4-4000000000000000000-4400000000000000000000000000000000000000000000000000
χ874-4-44-444-20000-42-44-22-2-442-2-22200000000000023−23−2323002-2000000000000000000−2323000000000000000000000000000000
χ884-4-44-444-20000-42-44-22-2-442-2-222000000000000−232323−23002-200000000000000000023−23000000000000000000000000000000
χ894-4-44-44-2400002-42-24-4-22-2-44-2220000000000000000002-2000000000000000000006−6−66−666−60000000000000000000000
χ904-4-44-44-2400002-42-24-4-22-2-44-2220000000000000000002-200000000000000000000−666−66−6−660000000000000000000000
χ9188-8-800-4-408i−8i0-4-4444420000-22-20−4i4i00−4i4i00000000000000000002i−2i000000000000000000000000000000000000000000
χ9288-8-800-4-40−8i8i0-4-4444420000-22-204i−4i004i−4i0000000000000000000−2i2i000000000000000000000000000000000000000000
χ938-88-800-4-4800-844-444-420000-2-22-400-4400400000000000000002-200000000000000000000000000000000000000000000
χ948-88-800-4-4-800844-444-420000-2-224004-400-40000000000000000-2200000000000000000000000000000000000000000000
χ958-8-888-8-4-40000444-4-442-44-442-2-20000000000000000002-200000000000000000000000000000000000000000000000000
χ968-8-88-88-4-40000444-4-4424-44-42-2-2000000000000000000-2200000000000000000000000000000000000000000000000000

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