Finite Group Databasebeta

← Group #11868833

Character table — Group #11868833

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212121222444466664412121212121212121212122244412121212121212121212121244668812121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1
χ9111111-1-1111111111-1111111-1-1-1-1-1-111111-1-111111-1-111-1-111-1-1-1-111-1-1-111-1-1-1-11-111-1-11-1111-1-1-111-1-111-1-111-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-1-1-111111-1-111111-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-111111-1-1-1-111-1-111-11
χ11111111-1-1111111111-1111111-1-1-1-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-11-1-111-1111-11-1-1-1-111-1-11111-1-1-11
χ12111111-1-1111111111-1111111-1-1-1-1-1-111111-1-11111-11-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-11-1-11-111-1-11111-1-1-1-1111-1
χ13111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1111-1-1-1-111111-111-1-1-11111-1-1-1-1-11111-1-1-1-111-11
χ14111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1-1-1111-1-111111-111-1-1-11-1-1-1111-1-111-1-11111-1-11-1
χ15111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-1-1-11111-11-1-1111-111-11-1-111-1-1-1-111-1-1111-1
χ16111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111-1-11111-11-1-1111-1-1-11-11111-1-111-1-111-1-1-11
χ1722222222-2-22222222-2222-2-2-22222-2-2-222-2-2-2-2222200-20000-2-222-2-200200-2-222-2-20000000000000000000000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-22222-2-2-2-200-20000-2-222-2-200-20022-2-2220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-222-222-2-22222220020000-2-2-2-22200-200-2-2-2-2220000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-2-20020000-2-2-2-222002002222-2-20000000000000000000000000000
χ2122222-12222-122-1-12-12-1-1-1-12222-1-122-1000000000022-12222-1-1-1-1-1-122022000000-1-1-1-1-1-100-1-122-1-10000-1-1-1-1000000
χ2222222-12222-122-1-12-12-1-1-1-12222-1-122-1000000000022-12222-1-1-1-1-1-1-2-20-2-2000000-1-1-1-1-1-10011-2-21100001111000000
χ2322222-12222-122-1-12-12-1-1-1-12222-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-12202200000011111100-1-1-2-2-1-100001111000000
χ2422222-12222-122-1-12-12-1-1-1-12222-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-1-2-20-2-2000000111111001122110000-1-1-1-1000000
χ2522222-1-2-222-122-1-12-1-2-1-1-1-122-2-211-2-2-100000000002-2122-2-2-1-11111220-2-2000000-11-1-11100-1-12-2110000-1-111000000
χ2622222-1-2-222-122-1-12-1-2-1-1-1-122-2-211-2-2-100000000002-2122-2-2-1-11111-2-2022000000-11-1-1110011-22-1-1000011-1-1000000
χ2722222-1-2-222-122-1-12-1-2-1-1-1-122-2-211-2-2-10000000000-221-2-222-1-11111220-2-20000001-111-1-100-1-1-2211000011-1-1000000
χ2822222-1-2-222-122-1-12-1-2-1-1-1-122-2-211-2-2-10000000000-221-2-222-1-11111-2-20220000001-111-1-100112-2-1-10000-1-111000000
χ292222-1222222-1-122-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-1-1-1-1-122-1-1-1-122000000-1-1-1-10000000000
χ302222-1222222-1-122-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-1-2-221111-1-1-1-1-1-100200-1-1-1-1-1-1-2-21111-2-200000011110000000000
χ312222-1222222-1-122-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-20011111122-1-1-1-1-2-200000011110000000000
χ322222-1222222-1-122-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-21111-2-221111-1-1-1-1-1-100-200111111-2-2111122000000-1-1-1-10000000000
χ332222-1222-2-22-1-122-1-1-2-1-1-1-211-1-12211-222-2-2-2-2-1-1-1-100-2−i3i3−i3i311-1-1110020011-1-11100−i3i3−i3i300000000−i3i3−i3i30000000000
χ342222-1222-2-22-1-122-1-1-2-1-1-1-211-1-12211-222-2-2-2-2-1-1-1-100-2i3−i3i3−i311-1-1110020011-1-11100i3−i3i3−i300000000i3−i3i3−i30000000000
χ352222-1222-2-22-1-122-1-1-2-1-1-1-211-1-12211-2-2-22222111100-2−i3i3−i3i311-1-11100-200-1-111-1-100−i3i3−i3i300000000i3−i3i3−i30000000000
χ362222-1222-2-22-1-122-1-1-2-1-1-1-211-1-12211-2-2-22222111100-2i3−i3i3−i311-1-11100-200-1-111-1-100i3−i3i3−i300000000−i3i3−i3i30000000000
χ372222-12-2-2222-1-122-1-1-2-1-1-12-1-111-2-21122222-2-2-1-1-1-12-2-2-1-111-1-1111100-200-1-111112-2-1-1112-2000000-1-1110000000000
χ382222-12-2-2222-1-122-1-1-2-1-1-12-1-111-2-21122222-2-2-1-1-1-1-22-211-1-1-1-1111100-200-1-11111-2211-1-1-2200000011-1-10000000000
χ392222-12-2-2222-1-122-1-1-2-1-1-12-1-111-2-2112-2-2-2-22211112-2-2-1-111-1-111110020011-1-1-1-12-2-1-111-2200000011-1-10000000000
χ402222-12-2-2222-1-122-1-1-2-1-1-12-1-111-2-2112-2-2-2-2221111-22-211-1-1-1-111110020011-1-1-1-1-2211-1-12-2000000-1-1110000000000
χ412222-12-2-2-2-22-1-122-1-12-1-1-1-21111-2-2-1-1-222-2-222-1-1-1-1002−i3i3i3−i31111-1-100-2001111-1-100−i3i3i3−i300000000−i3i3i3−i30000000000
χ422222-12-2-2-2-22-1-122-1-12-1-1-1-21111-2-2-1-1-222-2-222-1-1-1-1002i3−i3−i3i31111-1-100-2001111-1-100i3−i3−i3i300000000i3−i3−i3i30000000000
χ432222-12-2-2-2-22-1-122-1-12-1-1-1-21111-2-2-1-1-2-2-222-2-21111002−i3i3i3−i31111-1-100200-1-1-1-11100−i3i3i3−i300000000i3−i3−i3i30000000000
χ442222-12-2-2-2-22-1-122-1-12-1-1-1-21111-2-2-1-1-2-2-222-2-21111002i3−i3−i3i31111-1-100200-1-1-1-11100i3−i3−i3i300000000−i3i3i3−i30000000000
χ452-22-222002-222-2-2-2-2202-2-222-2000000-22-22-20022-2-200000002-200002-20002-20000000000002-20000000000002-20000
χ462-22-222002-222-2-2-2-2202-2-222-2000000-22-22-20022-2-200000002-20000-220002-2000000000000-22000000000000-220000
χ472-22-222002-222-2-2-2-2202-2-222-2000000-2-22-2200-2-22200000002-200002-2000-220000000000002-2000000000000-220000
χ482-22-222002-222-2-2-2-2202-2-222-2000000-2-22-2200-2-22200000002-20000-22000-22000000000000-220000000000002-20000
χ492-22-22200-2222-2-2-2-2202-2-2-2-2200000022-2-220022-2-20000000-2200000002i−2i-2200000000000000002i−2i00000000002i−2i00
χ502-22-22200-2222-2-2-2-2202-2-2-2-2200000022-2-220022-2-20000000-220000000−2i2i-220000000000000000−2i2i0000000000−2i2i00
χ512-22-22200-2222-2-2-2-2202-2-2-2-220000002-222-200-2-2220000000-2200000002i−2i2-200000000000000002i−2i0000000000−2i2i00
χ522-22-22200-2222-2-2-2-2202-2-2-2-220000002-222-200-2-2220000000-220000000−2i2i2-20000000000000000−2i2i00000000002i−2i00
χ5344444-244-4-4-244-2-24-2-4-2-2-22-4-444-2-2-4-420000000000002000022-2-222000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-244-2-24-24-2-2-22-4-4-4-422442000000000000-200002222-2-2000000000000000000000000000000000000000
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
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-4-222221111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22220000000000002−2i32i3−2i32i3-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-222200000000000022i3−2i32i3−2i3-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-200000000004-42-2-22211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-20000000000-44222-2-211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000-2−2i32i32i3−2i3-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000-22i3−2i3−2i32i3-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-4444-400-4-44-44-440-44-40004-44-400000000000000000000004-400000000000000000000000000000000000000000
χ6444-4-444-4400-4-44-44-440-44-4000-44-440000000000000000000000-4400000000000000000000000000000000000000000
χ6544-4-44-24-4002-442-2-4-202-220004-4-220000000000000000000000-2200000000000000000000000000000006−66−6000000
χ6644-4-44-24-4002-442-2-4-202-220004-4-220000000000000000000000-220000000000000000000000000000000−66−66000000
χ6744-4-44-2-44002-442-2-4-202-22000-442-200000000000000000000002-200000000000000000000000000000006−6−66000000
χ6844-4-44-2-44002-442-2-4-202-22000-442-200000000000000000000002-20000000000000000000000000000000−666−6000000
χ6944-4-4-244-400-42-2-442-202-22000-224-4000000000−2i32i3−2i32i3000000000-22000000000−2i32i3000000000000000000000000000000
χ7044-4-4-244-400-42-2-442-202-22000-224-40000000002i3−2i32i3−2i3000000000-220000000002i3−2i3000000000000000000000000000000
χ7144-4-4-24-4400-42-2-442-202-220002-2-44000000000−2i32i3−2i32i30000000002-20000000002i3−2i3000000000000000000000000000000
χ7244-4-4-24-4400-42-2-442-202-220002-2-440000000002i3−2i32i3−2i30000000002-2000000000−2i32i3000000000000000000000000000000
χ734-44-44-2004-4-24-422-4-20-222-24-4000000200000000000000000-2200004-400000000000000000-22000000000000000000
χ744-44-44-2004-4-24-422-4-20-222-24-4000000200000000000000000-220000-44000000000000000002-2000000000000000000
χ754-44-44-200-44-24-422-4-20-2222-44000000-2000000000000000002-200000004i−4i000000000000000000−2i2i00000000000000
χ764-44-44-200-44-24-422-4-20-2222-44000000-2000000000000000002-20000000−4i4i0000000000000000002i−2i00000000000000
χ774-44-4-24004-44-22-4-42-20-2224-22000000-44-44-400-2-2220000000-22000000000-2200000000000000000000000000000000
χ784-44-4-24004-44-22-4-42-20-2224-22000000-4-44-440022-2-20000000-220000000002-200000000000000000000000000000000
χ794-44-4-2400-444-22-4-42-20-222-42-200000044-4-4400-2-22200000002-20000000002-200000000000000000000000000000000
χ804-44-4-2400-444-22-4-42-20-222-42-20000004-444-40022-2-200000002-2000000000-2200000000000000000000000000000000
χ814-4-44440000-4-4-44-4440-4-44000000000000004-4000000000000000000000000004-40000000000000000000000000000
χ824-4-44440000-4-4-44-4440-4-4400000000000000-4400000000000000000000000000-440000000000000000000000000000
χ834-4-44-240000-4224-4-2-2022-20000000−2i32i3000004-4−2i32i32i3−2i300000000000−2i32i3000000000-220000000000000000000000000000
χ844-4-44-240000-4224-4-2-2022-20000000−2i32i300000-442i3−2i3−2i32i300000000000−2i32i30000000002-20000000000000000000000000000
χ854-4-44-240000-4224-4-2-2022-200000002i3−2i3000004-42i3−2i3−2i32i3000000000002i3−2i3000000000-220000000000000000000000000000
χ864-4-44-240000-4224-4-2-2022-200000002i3−2i300000-44−2i32i32i3−2i3000000000002i3−2i30000000002-20000000000000000000000000000
χ8788-8-8-4-48-80044-44-4420-22-2000-44-4400000000000000000000002-200000000000000000000000000000000000000000
χ8888-8-8-4-4-880044-44-4420-22-20004-44-40000000000000000000000-2200000000000000000000000000000000000000000
χ898-88-8-4-4008-8-4-44444202-2-2-4-440000004000000000000000002-20000000000000000000000000000000000000000000
χ908-88-8-4-400-88-4-44444202-2-244-4000000-400000000000000000-220000000000000000000000000000000000000000000
χ918-8-888-400004-8-8-448-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-44-420-2-220000000−4i34i300000000000000000000002i3−2i3000000000000000000000000000000000000000
χ938-8-88-4-40000444-44-420-2-2200000004i3−4i30000000000000000000000−2i32i3000000000000000000000000000000000000000

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