Finite Group Databasebeta

← Group #11868734

Character table — Group #11868734

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
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ9111111-1-1111111111-1111-1-1111-1-1-1-1111-1-11111111-111-1-1-111-1-1-1-111-1-1-111-1-1-1-11-111-1-11-11-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1111111111-1111-1-1111-1-1-1-1111-1-11111111-111-1-1-111-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-1-11-1-11111-1-1-1-111-1-111-11
χ11111111-1-1111111111-1111-1-1111-1-1-1-1111-1-1111111-11-1-111-111-1-1-1-111-1-1-111-1-1-1-1-11-1-111-11-1111-1-1-1-111-1-11111-1-1-11
χ12111111-1-1111111111-1111-1-1111-1-1-1-1111-1-1111111-11-1-111-111-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-111-1-1-111-1-11111-1-1-1-1111-1
χ13111111-1-1111111111-1111-1-1111-1-1-1-11-1-111-1-1-1-1-1-11-111-1-1-111-1-1-1-1111-1-1-1-111111-111-1-1-111-111-1-1-1-11111-1-1-1-111-11
χ14111111-1-1111111111-1111-1-1111-1-1-1-11-1-111-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-1111-1-111111-111-1-1-11-11-1-111-1-111-1-11111-1-11-1
χ15111111-1-1111111111-1111-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-11-1-111-111-1-1-1-1111-1-1-1-11111-11-1-1111-1-1111-1-111-1-1-1-111-1-1111-1
χ16111111-1-1111111111-1111-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-1111-1-11111-11-1-1111-11-1-1-11111-1-111-1-111-1-1-11
χ1722222222-2-22222222-222222-2-2-2-2-222-22222-2-2-2-2-2-2000000-2-2-222-2-200-20022-2-2220000000000000000000000000000
χ1822222222-2-22222222-222222-2-2-2-2-222-2-2-2-2-2222222000000-2-2-222-2-200200-2-222-2-20000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-222-2-2-222-2-2-2-2-2-2-2-20000002-2-2-2-222002002222-2-20000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-222-2-2-2-2-2222222220000002-2-2-2-22200-200-2-2-2-2220000000000000000000000000000
χ2122222-122222-12-12-1-12-1-1-122-1-12-1-1-1-12222222-1-1-1-122-1-1-1-12-1-1-1-1-1-100200-1-1-1-1-1-122-1-1-1-122000000-1-1-1-10000000000
χ2222222-122222-12-12-1-12-1-1-122-1-12-1-1-1-12222222-1-1-1-1-2-211112-1-1-1-1-1-100200-1-1-1-1-1-1-2-21111-2-200000011110000000000
χ2322222-122222-12-12-1-12-1-1-122-1-12-1-1-1-12-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-100-20011111122-1-1-1-1-2-200000011110000000000
χ2422222-122222-12-12-1-12-1-1-122-1-12-1-1-1-12-2-2-2-2-2-21111-2-211112-1-1-1-1-1-100-200111111-2-2111122000000-1-1-1-10000000000
χ2522222-122-2-22-12-12-1-1-2-1-1-12211-211-1-1-22222-2-2111100−i3i3−i3i3-211-1-11100-200-1-111-1-100−i3i3−i3i300000000−i3i3−i3i30000000000
χ2622222-122-2-22-12-12-1-1-2-1-1-12211-211-1-1-22222-2-2111100i3−i3i3−i3-211-1-11100-200-1-111-1-100i3−i3i3−i300000000i3−i3i3−i30000000000
χ2722222-122-2-22-12-12-1-1-2-1-1-12211-211-1-1-2-2-2-2-222-1-1-1-100−i3i3−i3i3-211-1-1110020011-1-11100−i3i3−i3i300000000i3−i3i3−i30000000000
χ2822222-122-2-22-12-12-1-1-2-1-1-12211-211-1-1-2-2-2-2-222-1-1-1-100i3−i3i3−i3-211-1-1110020011-1-11100i3−i3i3−i300000000−i3i3−i3i30000000000
χ2922222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-121111222-2-222-1-1-1-12-2-1-111-2-1-1111100-200-1-111112-2-1-1112-2000000-1-1110000000000
χ3022222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-121111222-2-222-1-1-1-1-2211-1-1-2-1-1111100-200-1-11111-2211-1-1-2200000011-1-10000000000
χ3122222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-1211112-2-222-2-211112-2-1-111-2-1-111110020011-1-1-1-12-2-1-111-2200000011-1-10000000000
χ3222222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-1211112-2-222-2-21111-2211-1-1-2-1-111110020011-1-1-1-1-2211-1-12-2000000-1-1110000000000
χ3322222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-2-1-111-222-2-2-2-2111100−i3i3i3−i321111-1-100200-1-1-1-11100−i3i3i3−i300000000−i3i3i3−i30000000000
χ3422222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-2-1-111-222-2-2-2-2111100i3−i3−i3i321111-1-100200-1-1-1-11100i3−i3−i3i300000000i3−i3−i3i30000000000
χ3522222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-2-1-111-2-2-22222-1-1-1-100−i3i3i3−i321111-1-100-2001111-1-100−i3i3i3−i300000000i3−i3−i3i30000000000
χ3622222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-2-1-111-2-2-22222-1-1-1-100i3−i3−i3i321111-1-100-2001111-1-100i3−i3−i3i300000000−i3i3i3−i30000000000
χ372222-122222-12-12-12-12-1-1-1-1-122-12222-10000000000222222-1-1-1-1-1-1-122022000000-1-1-1-1-1-10022-1-1-1-10000-1-1-1-1000000
χ382222-122222-12-12-12-12-1-1-1-1-122-12222-10000000000222222-1-1-1-1-1-1-1-2-20-2-2000000-1-1-1-1-1-100-2-2111100001111000000
χ392222-122222-12-12-12-12-1-1-1-1-122-12222-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-12202200000011111100-2-2-1-1-1-100001111000000
χ402222-122222-12-12-12-12-1-1-1-1-122-12222-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-2-20-2-2000000111111002211110000-1-1-1-1000000
χ412222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-2-2-100000000002-222-2-21-1-11111220-2-2000000-11-1-111002-2-1-1110000-1-111000000
χ422222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-2-2-100000000002-222-2-21-1-11111-2-2022000000-11-1-11100-2211-1-1000011-1-1000000
χ432222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-2-2-10000000000-22-2-2221-1-11111220-2-20000001-111-1-100-22-1-111000011-1-1000000
χ442222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-2-2-10000000000-22-2-2221-1-11111-2-20220000001-111-1-1002-211-1-10000-1-111000000
χ452-22-222002-2-222-2-2-2202-2-2002-220000-22-2002-222-2-200000002-200002-20002-2000000000000002-200000000002-20000
χ462-22-222002-2-222-2-2-2202-2-2002-220000-22-2002-222-2-200000002-20000-220002-200000000000000-220000000000-220000
χ472-22-222002-2-222-2-2-2202-2-2002-220000-2-2200-22-2-22200000002-200002-2000-22000000000000002-20000000000-220000
χ482-22-222002-2-222-2-2-2202-2-2002-220000-2-2200-22-2-22200000002-20000-22000-2200000000000000-2200000000002-20000
χ492-22-22200-22-222-2-2-2202-2-200-22-2000022-200-22-2-2220000000-2200000002i−2i2-200000000000000002i−2i00000000002i−2i00
χ502-22-22200-22-222-2-2-2202-2-200-22-2000022-200-22-2-2220000000-220000000−2i2i2-20000000000000000−2i2i0000000000−2i2i00
χ512-22-22200-22-222-2-2-2202-2-200-22-200002-22002-222-2-20000000-2200000002i−2i-2200000000000000002i−2i0000000000−2i2i00
χ522-22-22200-22-222-2-2-2202-2-200-22-200002-22002-222-2-20000000-220000000−2i2i-220000000000000000−2i2i00000000002i−2i00
χ534444-2444-4-4-24-24-24-2-4-2-2-2-2-2-4-42-4-44420000000000000000222-2-222000000000000000000000000000000000000000
χ544444-24-4-4-4-4-24-24-24-24-2-2-222-4-4244-4-420000000000000000-22222-2-2000000000000000000000000000000000000000
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
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-42222-21111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-4111-2-222222-2-22000000000000−2i32i3−2i32i32-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-4111-2-222222-2-220000000000002i3−2i32i3−2i32-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-411122-2-2-22222-200000000004-4-2-222211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-411122-2-2-22222-20000000000-4422-2-2211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000000000−2i32i32i3−2i3-2-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-22220000000000002i3−2i3−2i32i3-2-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-4444-4004-4-4-4-4440-44-44-4000004-4000000000000000000004-400000000000000000000000000000000000000000
χ6444-4-444-44004-4-4-4-4440-44-4-4400000-4400000000000000000000-4400000000000000000000000000000000000000000
χ6544-4-44-24-40042-42-4-2-202-224-400000-22000000023−2323−23000000000-2200000000023−23000000000000000000000000000000
χ6644-4-44-24-40042-42-4-2-202-224-400000-220000000−2323−2323000000000-22000000000−2323000000000000000000000000000000
χ6744-4-44-2-440042-42-4-2-202-22-44000002-2000000023−2323−230000000002-2000000000−2323000000000000000000000000000000
χ6844-4-44-2-440042-42-4-2-202-22-44000002-20000000−2323−23230000000002-200000000023−23000000000000000000000000000000
χ6944-4-4-244-400-2-42-424-202-22-22000004-400000000000000000000-220000000000000000000000000000000i6−i6i6−i6000000
χ7044-4-4-244-400-2-42-424-202-22-22000004-400000000000000000000-220000000000000000000000000000000−i6i6−i6i6000000
χ7144-4-4-24-4400-2-42-424-202-222-200000-44000000000000000000002-20000000000000000000000000000000i6−i6−i6i6000000
χ7244-4-4-24-4400-2-42-424-202-222-200000-44000000000000000000002-20000000000000000000000000000000−i6i6i6−i6000000
χ734-44-44-2004-4-4-242-42-20-22200-2240000-44-4004-4-2-2220000000-22000000000-2200000000000000000000000000000000
χ744-44-44-2004-4-4-242-42-20-22200-2240000-4-4400-4422-2-20000000-220000000002-200000000000000000000000000000000
χ754-44-44-200-44-4-242-42-20-222002-2-4000044-400-4422-2-200000002-2000000000-2200000000000000000000000000000000
χ764-44-44-200-44-4-242-42-20-222002-2-400004-44004-4-2-22200000002-20000000002-200000000000000000000000000000000
χ774-44-4-24004-424-2-42-4-20-222004-4-20000200000000000000000-2200004-40000000000000000000-220000000000000000
χ784-44-4-24004-424-2-42-4-20-222004-4-20000200000000000000000-220000-4400000000000000000002-20000000000000000
χ794-44-4-2400-4424-2-42-4-20-22200-4420000-2000000000000000002-200000004i−4i000000000000000000−2i2i00000000000000
χ804-44-4-2400-4424-2-42-4-20-22200-4420000-2000000000000000002-20000000−4i4i0000000000000000002i−2i00000000000000
χ814-4-44440000-4-4-444-440-4-440000000000004i−4i00000000000000000000000000004i−4i0000000000000000000000000000
χ824-4-44440000-4-4-444-440-4-44000000000000−4i4i0000000000000000000000000000−4i4i0000000000000000000000000000
χ834-4-444-20000-42-4-242-2022-200000−2i32i3000004i−4i0023−23−232300000000000−2i32i3000000000−2i2i0000000000000000000000000000
χ844-4-444-20000-42-4-242-2022-200000−2i32i300000−4i4i00−232323−2300000000000−2i32i30000000002i−2i0000000000000000000000000000
χ854-4-444-20000-42-4-242-2022-2000002i3−2i3000004i−4i00−232323−23000000000002i3−2i3000000000−2i2i0000000000000000000000000000
χ864-4-444-20000-42-4-242-2022-2000002i3−2i300000−4i4i0023−23−2323000000000002i3−2i30000000002i−2i0000000000000000000000000000
χ8788-8-8-4-48-800-44444-420-22-2-4400000-44000000000000000000002-200000000000000000000000000000000000000000
χ8888-8-8-4-4-8800-44444-420-22-24-4000004-400000000000000000000-2200000000000000000000000000000000000000000
χ898-88-8-4-4008-84-4-4444202-2-200-44-400004000000000000000002-20000000000000000000000000000000000000000000
χ908-88-8-4-400-884-4-4444202-2-2004-440000-400000000000000000-220000000000000000000000000000000000000000000
χ918-8-88-4800004-848-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-4-4420-2-2200000−4i34i30000000000000000000000002i3−2i3000000000000000000000000000000000000000
χ938-8-88-4-40000444-4-4420-2-22000004i3−4i3000000000000000000000000−2i32i3000000000000000000000000000000000000000

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