Finite Group Databasebeta

← Group #11888615

Character table — Group #11888615

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666662223466666661212121212121212121212124446666666666121212121212121212122448812121212244468121212121224242424448861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-11-1-11-11-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-11-11111111-1-111-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-111-1-1-1-11-1-111-1-111-11-111-1-1-1-11111-1-11111-11-1-1
χ61111111111111111-11-11111111-1-111-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-11-111
χ71111111111111111-11-11111111-1-111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1111-1-111-1-1-1-1-1-1-1111
χ81111111111111111-11-11111111-1-111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11-11-1-11111-1-1-1-11111111-1-1-1
χ911111111111111-1-1111-1-1-1-111111111111111111-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ1011111111111111-1-1111-1-1-1-111111111111111111-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1111-1-111111-1-111-11-1-1-1-1-1-1-1-111-1-1111-1
χ1111111111111111-1-1111-1-1-1-1111111111111111-1-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11111111111-1-1-1-11-1
χ1211111111111111-1-1111-1-1-1-1111111111111111-1-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ1311111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1111-11-11-1-111-1-111-1-1-1-1111-11-1
χ1411111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-11111-111-1-1-1-11111-1-1-11-11
χ1511111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111111-1111111-1-111-1-1-1-11-1-11111-1-111-1-11-1-11
χ1611111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111111-111-1-111-1-1-11-11-111-1-111-1-111-1-111-111-1
χ17222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-222020020000220000-2-20000-2-2200-2-2220000-2020000000000000000
χ18222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2-2-2020020000220000-2-2000022-20022-2-2000020-20000000000000000
χ19222222-2-222222200-222000022222-2-2222222-2-2220-200-20000-2-20000-2-20000-22-20022220000-20-20000000000000000
χ20222222-2-222222200-222000022222-2-2222222-2-2-2-20-200-20000-2-20000-2-200002-2200-2-2-2-200002020000000000000000
χ2122222-122-12-1-122222-122222-1-1-1-1-12222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100022000020020200000-1-1-1-10000-1-100
χ2222222-122-12-1-122222-122222-1-1-1-1-12222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1000-2-20000-200-20-200000111100001100
χ2322222-122-12-1-12222-2-1-22222-1-1-11122-2-21111-1-100-2-2-1-11-1-1-1-11111-2-2-1-11111000220000-20020-200000-1-11100001-100
χ2422222-122-12-1-12222-2-1-22222-1-1-11122-2-21111-1-100-2-2-1-11-1-1-1-11111-2-2-1-11111000-2-20000200-2020000011-1-10000-1100
χ2522222-122-12-1-122-2-22-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-100-2211-11111-1-111-2-2-1-11111000220000-200-20200000-1-1-1-100001100
χ2622222-122-12-1-122-2-22-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-100-2211-11111-1-111-2-2-1-11111000-2-2000020020-20000011110000-1-100
χ2722222-122-12-1-122-2-2-2-1-2-2-2-2-2-1-1-11122-2-21111-1-1002-2111111111-1-122-1-1-1-1-1-1000220000200-20-200000-1-1110000-1100
χ2822222-122-12-1-122-2-2-2-1-2-2-2-2-2-1-1-11122-2-21111-1-1002-2111111111-1-122-1-1-1-1-1-1000-2-20000-2002020000011-1-100001-100
χ292222-12222-122-1-1222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122200-1-1-1-10220-10-1-1-1-1-1000000000000
χ302222-12222-122-1-1222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-22-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-20011110-2-201011111000000000000
χ312222-12222-122-1-122-2-1-2-1-1-1-1-1-1-1-2-2-1-11111112222-2122-2-1-1-1-111-2-211-1-111112-2-20011-1-102-20-10111-1-1000000000000
χ322222-12222-122-1-122-2-1-2-1-1-1-1-1-1-1-2-2-1-111111122-2-2-2122-2-1-1-1-111-2-211-1-11111-22200-1-1110-22010-1-1-111000000000000
χ332222-12222-122-1-1-2-22-121111-1-1-122-1-1-1-1-1-1-1-12222-2-1-2-221111-1-1-2-211-1-1111122200-1-1-1-10-2-20-10-11111000000000000
χ342222-12222-122-1-1-2-22-121111-1-1-122-1-1-1-1-1-1-1-122-2-2-2-1-2-221111-1-1-2-211-1-11111-2-2-20011110220101-1-1-1-1000000000000
χ352222-12222-122-1-1-2-2-2-1-21111-1-1-1-2-2-1-1111111222221-2-2-211111122-1-1-1-1-1-1-1-12-2-20011-1-10-220-101-1-111000000000000
χ362222-12222-122-1-1-2-2-2-1-21111-1-1-1-2-2-1-111111122-2-221-2-2-211111122-1-1-1-1-1-1-1-1-22200-1-11102-2010-111-1-1000000000000
χ372222-12-2-22-122-1-1002-1-2−i3−i3i3i3-1-1-1-2-211111111-2-2220-1002−i3−i3i3i3-1-100−i3i311−i3−i3i3i3-2-220011-1-1000010-1−i3i3−i3i3000000000000
χ382222-12-2-22-122-1-1002-1-2−i3−i3i3i3-1-1-1-2-211111111-2-2-2-20-1002−i3−i3i3i3-1-100−i3i311−i3−i3i3i322-200-1-1110000-101i3−i3i3−i3000000000000
χ392222-12-2-22-122-1-1002-1-2i3i3−i3−i3-1-1-1-2-211111111-2-2220-1002i3i3−i3−i3-1-100i3−i311i3i3−i3−i3-2-220011-1-1000010-1i3−i3i3−i3000000000000
χ402222-12-2-22-122-1-1002-1-2i3i3−i3−i3-1-1-1-2-211111111-2-2-2-20-1002i3i3−i3−i3-1-100i3−i311i3i3−i3−i322-200-1-1110000-101−i3i3−i3i3000000000000
χ412222-12-2-22-122-1-100-2-12−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-2220100-2−i3−i3i3i31100i3−i311i3i3−i3−i3-22-200-1-1-1-10000101i3−i3−i3i3000000000000
χ422222-12-2-22-122-1-100-2-12−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-2-2-20100-2−i3−i3i3i31100i3−i311i3i3−i3−i32-220011110000-10-1−i3i3i3−i3000000000000
χ432222-12-2-22-122-1-100-2-12i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-2220100-2i3i3−i3−i31100−i3i311−i3−i3i3i3-22-200-1-1-1-10000101−i3i3i3−i3000000000000
χ442222-12-2-22-122-1-100-2-12i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-2-2-20100-2i3i3−i3−i31100−i3i311−i3−i3i3i32-220011110000-10-1i3−i3−i3i3000000000000
χ4522-2-2222-2-2-22-2-222-20202-22-2-2-22002-20000002-200002-202-22-20000002-200000000000000000000000000002i−2i2i−2i0000
χ4622-2-2222-2-2-22-2-222-20202-22-2-2-22002-20000002-200002-202-22-20000002-20000000000000000000000000000−2i2i−2i2i0000
χ4722-2-2222-2-2-22-2-22-22020-22-22-2-22002-20000002-20000-220-22-220000002-200000000000000000000000000002i−2i−2i2i0000
χ4822-2-2222-2-2-22-2-22-22020-22-22-2-22002-20000002-20000-220-22-220000002-20000000000000000000000000000−2i2i2i−2i0000
χ4944444-2-4-4-24-2-244004-2-40000-2-2-222-4-4-4-4222222000400-20000-2-2000022000000000000000000000000000000000000
χ5044444-2-4-4-24-2-24400-4-240000-2-2-2-2-2-4-444-2-2-2-222000-4002000022000022000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244414-2-2-2-2111-2-2-2-2-2-21111-2-2004-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-244-41-4-2-2-2-211122-2-222-1-1-1-1-2-200-42-2-221111-1-1222211-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-44142222111-2-2-2-2-2-21111-2-200-4-222-2-1-1-1-111222211-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-4-41-4222211122-2-222-1-1-1-1-2-20042222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20041-4−2i3−2i32i32i3111222222-1-1-1-122000-200-2i3i3−i3−i31100−2i32i3-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20041-42i32i3−2i3−2i3111222222-1-1-1-122000-200-2−i3−i3i3i311002i3−2i3-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-200-414−2i3−2i32i32i3111-2-222-2-21111220002002i3i3−i3−i3-1-1002i3−2i3-1-1−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-200-4142i32i3−2i3−2i3111-2-222-2-21111220002002−i3−i3i3i3-1-100−2i32i3-1-1i3i3−i3−i300000000000000000000000000000000
χ5944-4-444-44-4-44-4-44000400000-4-4400-44000000-4400000000000000000-44000000000000000000000000000000000000
χ6044-4-44-24-42-4-22-444-40-204-44-422-2004-4000000-220000-220-22-22000000-22000000000000000000000000000000000000
χ6144-4-44-24-42-4-22-44-440-20-44-4422-2004-4000000-2200002-202-22-2000000-22000000000000000000000000000000000000
χ6244-4-44-2-442-4-22-44000-20000022-200-440000002-20000000000000−2i32i3002-2−2i32i3−2i32i300000000000000000000000000000000
χ6344-4-44-2-442-4-22-44000-20000022-200-440000002-200000000000002i3−2i3002-22i3−2i32i3−2i300000000000000000000000000000000
χ6444-4-4-244-4-424-42-24-40-20-22-2222-200-220000004-400004-40-22-22000000-22000000000000000000000000000000000000
χ6544-4-4-244-4-424-42-2-440-202-22-222-200-220000004-40000-4402-22-2000000-22000000000000000000000000000000000000
χ6644-4-4-24-44-424-42-2000-20−2i32i32i3−2i322-2002-2000000-440000000−2i32i32i3−2i30000002-2000000000000000000000000000000000000
χ6744-4-4-24-44-424-42-2000-202i3−2i3−2i32i322-2002-2000000-4400000002i3−2i3−2i32i30000002-2000000000000000000000000000000000000
χ6844-4-4-2-24-422-222-24-4010-22-22-1-1100-220033-3-3-220000-2201-11-13-300001-13-3-3300000000000000000000000000000000
χ6944-4-4-2-24-422-222-24-4010-22-22-1-1100-2200-3-333-220000-2201-11-1-3300001-1-333-300000000000000000000000000000000
χ7044-4-4-2-24-422-222-2-440102-22-2-1-1100-220033-3-3-2200002-20-11-113-300001-1-333-300000000000000000000000000000000
χ7144-4-4-2-24-422-222-2-440102-22-2-1-1100-2200-3-333-2200002-20-11-11-3300001-13-3-3300000000000000000000000000000000
χ7244-4-4-2-2-4422-222-200010−2i32i32i3−2i3-1-11002-20033-3-32-20000000i3−i3−i3i3-33−2i32i300-11i3−i3i3−i300000000000000000000000000000000
χ7344-4-4-2-2-4422-222-200010−2i32i32i3−2i3-1-11002-200-3-3332-20000000i3−i3−i3i33-32i3−2i300-11−i3i3−i3i300000000000000000000000000000000
χ7444-4-4-2-2-4422-222-2000102i3−2i3−2i32i3-1-11002-20033-3-32-20000000−i3i3i3−i3-332i3−2i300-11−i3i3−i3i300000000000000000000000000000000
χ7544-4-4-2-2-4422-222-2000102i3−2i3−2i32i3-1-11002-200-3-3332-20000000−i3i3i3−i33-3−2i32i300-11i3−i3i3−i300000000000000000000000000000000
χ764-44-44400-4-4-444-40004000004-4-40000000000004i−4i00000000000000000000000000004i−4i00000000000000000000000
χ774-44-44400-4-4-444-40004000004-4-4000000000000−4i4i0000000000000000000000000000−4i4i00000000000000000000000
χ784-44-4-2400-42-44-22000-200000-222000023−2323−2323−23004i−4i00000000000000000000000000−2i32i3−2i2i00000000000000000000000
χ794-44-4-2400-42-44-22000-200000-222000023−2323−2323−2300−4i4i000000000000000000000000002i3−2i32i−2i00000000000000000000000
χ804-44-4-2400-42-44-22000-200000-2220000−2323−2323−2323004i−4i000000000000000000000000002i3−2i3−2i2i00000000000000000000000
χ814-44-4-2400-42-44-22000-200000-2220000−2323−2323−232300−4i4i00000000000000000000000000−2i32i32i−2i00000000000000000000000
χ824-4-44440044-4-4-4-4000400000-44-400000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ834-4-44440044-4-4-4-4000400000-44-4000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ844-4-444-200-2422-4-4000-2000002-2223−23000023−23−23230000000000000000000000000000−2i22i2000000000000000i2−i2i6−i600000000
χ854-4-444-200-2422-4-4000-2000002-2223−23000023−23−232300000000000000000000000000002i2−2i2000000000000000−i2i2−i6i600000000
χ864-4-444-200-2422-4-4000-2000002-22−23230000−232323−230000000000000000000000000000−2i22i2000000000000000i2−i2−i6i600000000
χ874-4-444-200-2422-4-4000-2000002-22−23230000−232323−2300000000000000000000000000002i2−2i2000000000000000−i2i2i6−i600000000
χ888-88-88-4004-84-48-8000-400000-4440000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400444-4-440002000002-2-2000043−43−2323−2323000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400444-4-440002000002-2-20000−434323−2323−23000000000000000000000000000000000000000000000000000000000
χ918-8-88-48008-4-8-844000-4000004-440000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400-4-44444000200000-22-243−430000−232323−23000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400-4-44444000200000-22-2−4343000023−23−2323000000000000000000000000000000000000000000000000000000000

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