Finite Group Databasebeta

← Group #11868729

Character table — Group #11868729

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212224444121212124412121212121212121212124444466121212121212121212124488121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ9111111-1-1111111111-111111-1-11-1-1-1-1111-1-11111111-1-111-1-111-1-1-1-111-1-1-111-1-1-1-11-111-1-11-11-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1111111111-111111-1-11-1-1-1-1111-1-11111111-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-1-11-1-11111-1-1-1-111-1-111-11
χ11111111-1-1111111111-111111-1-11-1-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-11-1-111-11-1111-1-1-1-111-1-11111-1-1-11
χ12111111-1-1111111111-111111-1-11-1-1-1-1111-1-1111111-11-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-111-1-1-111-1-11111-1-1-1-1111-1
χ13111111-1-1111111111-111111-1-11-1-1-1-11-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1111-1-1-1-111111-111-1-1-111-111-1-1-1-11111-1-1-1-111-11
χ14111111-1-1111111111-111111-1-11-1-1-1-11-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1111-1-111111-111-1-1-11-11-1-111-1-111-1-11111-1-11-1
χ15111111-1-1111111111-111111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111-1-1-1-11111-11-1-1111-1-1111-1-111-1-1-1-111-1-1111-1
χ16111111-1-1111111111-111111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111-1-11111-11-1-1111-11-1-1-11111-1-111-1-111-1-1-11
χ1722222222-2-22222222-2222-2-222-222-2-2-22222-2-2-2-2-2-200-20000-2-2-2-22200-2002222-2-20000000000000000000000000000
χ1822222222-2-22222222-2222-2-222-222-2-2-2-2-2-2-222222200-20000-2-2-2-22200200-2-2-2-2220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-222-222-2-2-2-2-2-2-2-20020000-2-222-2-20020022-2-2220000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-222-2-2-2222222220020000-2-222-2-200-200-2-222-2-20000000000000000000000000000
χ2122222-12222-1222-1-1-12-1-1-1-1-1222-1-1-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-1-1-1-1-122-1-1-1-122000000-1-1-1-10000000000
χ2222222-12222-1222-1-1-12-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-2-221111-1-1-1-1-1-100200-1-1-1-1-1-1-2-21111-2-200000011110000000000
χ2322222-12222-1222-1-1-12-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-20011111122-1-1-1-1-2-200000011110000000000
χ2422222-12222-1222-1-1-12-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-2-221111-1-1-1-1-1-100-200111111-2-2111122000000-1-1-1-10000000000
χ2522222-122-2-2-1222-1-1-1-2-1-1-11122-2-1-111-22222-2-2111100-2−i3i3−i3i31111-1-100-200-1-1-1-11100−i3i3−i3i300000000−i3i3−i3i30000000000
χ2622222-122-2-2-1222-1-1-1-2-1-1-11122-2-1-111-22222-2-2111100-2i3−i3i3−i31111-1-100-200-1-1-1-11100i3−i3i3−i300000000i3−i3i3−i30000000000
χ2722222-122-2-2-1222-1-1-1-2-1-1-11122-2-1-111-2-2-2-2-222-1-1-1-100-2−i3i3−i3i31111-1-1002001111-1-100−i3i3−i3i300000000i3−i3i3−i30000000000
χ2822222-122-2-2-1222-1-1-1-2-1-1-11122-2-1-111-2-2-2-2-222-1-1-1-100-2i3−i3i3−i31111-1-1002001111-1-100i3−i3i3−i300000000−i3i3−i3i30000000000
χ2922222-1-2-222-1222-1-1-1-2-1-1-1-1-1-2-221111222-2-222-1-1-1-12-2-2-1-111-1-1111100-200-1-111112-2-1-1112-2000000-1-1110000000000
χ3022222-1-2-222-1222-1-1-1-2-1-1-1-1-1-2-221111222-2-222-1-1-1-1-22-211-1-1-1-1111100-200-1-11111-2211-1-1-2200000011-1-10000000000
χ3122222-1-2-222-1222-1-1-1-2-1-1-1-1-1-2-2211112-2-222-2-211112-2-2-1-111-1-111110020011-1-1-1-12-2-1-111-2200000011-1-10000000000
χ3222222-1-2-222-1222-1-1-1-2-1-1-1-1-1-2-2211112-2-222-2-21111-22-211-1-1-1-111110020011-1-1-1-1-2211-1-12-2000000-1-1110000000000
χ3322222-1-2-2-2-2-1222-1-1-12-1-1-111-2-2-211-1-1-222-2-2-2-21111002−i3i3i3−i311-1-11100200-1-111-1-100−i3i3i3−i300000000−i3i3i3−i30000000000
χ3422222-1-2-2-2-2-1222-1-1-12-1-1-111-2-2-211-1-1-222-2-2-2-21111002i3−i3−i3i311-1-11100200-1-111-1-100i3−i3−i3i300000000i3−i3−i3i30000000000
χ3522222-1-2-2-2-2-1222-1-1-12-1-1-111-2-2-211-1-1-2-2-22222-1-1-1-1002−i3i3i3−i311-1-11100-20011-1-11100−i3i3i3−i300000000i3−i3−i3i30000000000
χ3622222-1-2-2-2-2-1222-1-1-12-1-1-111-2-2-211-1-1-2-2-22222-1-1-1-1002i3−i3−i3i311-1-11100-20011-1-11100i3−i3−i3i300000000−i3i3i3−i30000000000
χ372222-1222222-1-1-122-12-1-1-122-1-1-12222-1000000000022-12222-1-1-1-1-1-122022000000-1-1-1-1-1-10022-1-1-1-10000-1-1-1-1000000
χ382222-1222222-1-1-122-12-1-1-122-1-1-12222-1000000000022-12222-1-1-1-1-1-1-2-20-2-2000000-1-1-1-1-1-100-2-2111100001111000000
χ392222-1222222-1-1-122-12-1-1-122-1-1-12222-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-12202200000011111100-2-2-1-1-1-100001111000000
χ402222-1222222-1-1-122-12-1-1-122-1-1-12222-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-1-2-20-2-2000000111111002211110000-1-1-1-1000000
χ412222-12-2-2222-1-1-122-1-2-1-1-12211-1-2-2-2-2-100000000002-2122-2-2-1-11111220-2-2000000-11-1-111002-2-1-1110000-1-111000000
χ422222-12-2-2222-1-1-122-1-2-1-1-12211-1-2-2-2-2-100000000002-2122-2-2-1-11111-2-2022000000-11-1-11100-2211-1-1000011-1-1000000
χ432222-12-2-2222-1-1-122-1-2-1-1-12211-1-2-2-2-2-10000000000-221-2-222-1-11111220-2-20000001-111-1-100-22-1-111000011-1-1000000
χ442222-12-2-2222-1-1-122-1-2-1-1-12211-1-2-2-2-2-10000000000-221-2-222-1-11111-2-20220000001-111-1-1002-211-1-10000-1-111000000
χ452-22-222002-22-22-2-2-2202-2-22-20020000-22-2002-222-2-200000002-200002-20002-2000000000000002-200000000002-20000
χ462-22-222002-22-22-2-2-2202-2-22-20020000-22-2002-222-2-200000002-20000-220002-200000000000000-220000000000-220000
χ472-22-222002-22-22-2-2-2202-2-22-20020000-2-2200-22-2-22200000002-200002-2000-22000000000000002-20000000000-220000
χ482-22-222002-22-22-2-2-2202-2-22-20020000-2-2200-22-2-22200000002-20000-22000-2200000000000000-2200000000002-20000
χ492-22-22200-222-22-2-2-2202-2-2-2200-2000022-200-22-2-2220000000-2200000002i−2i2-200000000000000002i−2i00000000002i−2i00
χ502-22-22200-222-22-2-2-2202-2-2-2200-2000022-200-22-2-2220000000-220000000−2i2i2-20000000000000000−2i2i0000000000−2i2i00
χ512-22-22200-222-22-2-2-2202-2-2-2200-200002-22002-222-2-20000000-2200000002i−2i-2200000000000000002i−2i0000000000−2i2i00
χ522-22-22200-222-22-2-2-2202-2-2-2200-200002-22002-222-2-20000000-220000000−2i2i-220000000000000000−2i2i00000000002i−2i00
χ534444-2444-4-44-2-2-244-2-4-2-2-2-4-4-2-2244-4-42000000000000200002222-2-2000000000000000000000000000000000000000
χ544444-24-4-4-4-44-2-2-244-24-2-2-2-4-4222-4-4442000000000000-2000022-2-222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-4-222221111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-22220000000000002−2i32i3−2i32i3-1-1-1-1110000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-222200000000000022i3−2i32i3−2i3-1-1-1-1110000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-4111-2-222-22222-200000000004-42-2-22211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-4111-2-222-22222-20000000000-44222-2-211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000-2−2i32i32i3−2i3-1-111-1-10000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000-22i3−2i3−2i32i3-1-111-1-10000000000000−i3i3i3−i30000000000000000000000
χ6344-4-4444-400-44-4-44-440-4-44004-404-40000000000000000000000004-4000000000000000000000000000000000000000
χ6444-4-444-4400-44-4-44-440-4-4400-440-44000000000000000000000000-44000000000000000000000000000000000000000
χ6544-4-44-24-40024-4-4-22-2022-2004-40-2200000000023−2323−2300000000000-2200000000023−230000000000000000000000000000
χ6644-4-44-24-40024-4-4-22-2022-2004-40-22000000000−2323−232300000000000-22000000000−23230000000000000000000000000000
χ6744-4-44-2-440024-4-4-22-2022-200-4402-200000000023−2323−23000000000002-2000000000−23230000000000000000000000000000
χ6844-4-44-2-440024-4-4-22-2022-200-4402-2000000000−2323−2323000000000002-200000000023−230000000000000000000000000000
χ6944-4-4-244-400-4-2224-4-2022-200-2204-4000000000000000000000000-22000000000000000000000000000006−66−6000000
χ7044-4-4-244-400-4-2224-4-2022-200-2204-4000000000000000000000000-2200000000000000000000000000000−66−66000000
χ7144-4-4-24-4400-4-2224-4-2022-2002-20-440000000000000000000000002-2000000000000000000000000000006−6−66000000
χ7244-4-4-24-4400-4-2224-4-2022-2002-20-440000000000000000000000002-200000000000000000000000000000−666−6000000
χ734-44-44-2004-4-2-44-422-20-222-220040000-44-4004-4-2-2220000000-22000000000-2200000000000000000000000000000000
χ744-44-44-2004-4-2-44-422-20-222-220040000-4-4400-4422-2-20000000-220000000002-200000000000000000000000000000000
χ754-44-44-200-44-2-44-422-20-2222-200-4000044-400-4422-2-200000002-2000000000-2200000000000000000000000000000000
χ764-44-44-200-44-2-44-422-20-2222-200-400004-44004-4-2-22200000002-20000000002-200000000000000000000000000000000
χ774-44-4-24004-442-22-4-4-20-2224-400-20000200000000000000000-2200004-40000000000000000000-220000000000000000
χ784-44-4-24004-442-22-4-4-20-2224-400-20000200000000000000000-220000-4400000000000000000002-20000000000000000
χ794-44-4-2400-4442-22-4-4-20-222-440020000-2000000000000000002-200000004i−4i000000000000000000−2i2i00000000000000
χ804-44-4-2400-4442-22-4-4-20-222-440020000-2000000000000000002-20000000−4i4i0000000000000000002i−2i00000000000000
χ814-4-44440000-4-4-44-4440-44-40000000000004i−4i000000000000000000000000004i−4i000000000000000000000000000000
χ824-4-44440000-4-4-44-4440-44-4000000000000−4i4i00000000000000000000000000−4i4i000000000000000000000000000000
χ834-4-444-200002-4-442-2-202-220000000−2i32i30004i−4i0023−23−2323000000000−2i32i3000000000−2i2i000000000000000000000000000000
χ844-4-444-200002-4-442-2-202-220000000−2i32i3000−4i4i00−232323−23000000000−2i32i30000000002i−2i000000000000000000000000000000
χ854-4-444-200002-4-442-2-202-2200000002i3−2i30004i−4i00−232323−230000000002i3−2i3000000000−2i2i000000000000000000000000000000
χ864-4-444-200002-4-442-2-202-2200000002i3−2i3000−4i4i0023−23−23230000000002i3−2i30000000002i−2i000000000000000000000000000000
χ8788-8-8-4-48-8004-444-4420-2-2200-440-440000000000000000000000002-2000000000000000000000000000000000000000
χ8888-8-8-4-4-88004-444-4420-2-22004-404-4000000000000000000000000-22000000000000000000000000000000000000000
χ898-88-8-4-4008-8-44-4444202-2-2-4400-400004000000000000000002-20000000000000000000000000000000000000000000
χ908-88-8-4-400-88-44-4444202-2-24-40040000-400000000000000000-220000000000000000000000000000000000000000000
χ918-8-88-480000-844-4-88-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-44-420-22-20000000−4i34i3000000000000000000002i3−2i300000000000000000000000000000000000000000
χ938-8-88-4-40000444-44-420-22-200000004i3−4i300000000000000000000−2i32i300000000000000000000000000000000000000000

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