Finite Group Databasebeta

← Group #11884602

Character table — Group #11884602

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order12223344666666223666881212121224242424441212121226666661212242424242424224446688121224242424666664446812121212121224244412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-111-11111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-11-1-11-1-1-1-111-1-1-1-1111111-111111-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-111-1-1-1111-11111-1-1-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-111111111-111-1-1-1-111-111-1-111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-11-1-1-11-1-1-1-111111111-1-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-11-1-1111-1-11-1-1-1-1-111-1-1111-11-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11-111-111-1-1-1-1-1-1-1-11-1-111-1-11-1111-1-11111-1-1-11-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-11-1-1111111111-1-11111-11-1-1-111-1-1-1-1-1-111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-111-111111-1-11111-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2200-2-2-200-2-200000000000020000000002-20000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2-2002-2-20022000000000000-2000000000-220000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002200-22200-2-20000000000002000000000-220000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002-2002220022000000000000-20000000002-20000
χ2122222-12222-1-1-1222-1-1-1-1222-1-122222000000222-1-122-1-1-1-1-1-1-1-1020020000-1-10000-1-1-1-1-1202-12-1-10000-1-100-1000
χ2222222-12222-1-1-1222-1-1-1-1222-1-122222000000222-1-122-1-1-1-1-1-1-1-10-200-20000110000-1-1-1-1-1-20-21-211000011001000
χ2322222-12222-1-1-1222-1-1-1-1-2-22-1-12-2-2-2-2000000-222-1-1-2-2-1-1111111020020000-1-100001-1-111-202-1-2-1-1000011001000
χ2422222-12222-1-1-1222-1-1-1-1-2-22-1-12-2-2-2-2000000-222-1-1-2-2-1-11111110-200-200001100001-1-11120-212110000-1-100-1000
χ2522222-12222-1-1-12-2-2-1-1-1-1222-1-122222000000-2-2-211-2-2-1-1-1-1-1-1-1-1020020000-1-1000011111-20-2-12110000-1-1001000
χ2622222-12222-1-1-12-2-2-1-1-1-1222-1-122222000000-2-2-211-2-2-1-1-1-1-1-1-1-10-200-20000110000111112021-2-1-100001100-1000
χ2722222-12222-1-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-20000002-2-21122-1-1111111020020000-1-10000-111-1-120-2-1-21100001100-1000
χ2822222-12222-1-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-20000002-2-21122-1-11111110-200-20000110000-111-1-1-20212-1-10000-1-1001000
χ292222-1222-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-12-1-122-1-1-1-122-1-1-1-120220-1-12200-1-1-1-12-1-1-1-10200000-1-1-1-100000000
χ302222-1222-1-1222-122-1-1-1-122-122-1-1-1-1-1-2-211112-1-122-1-1-1-122-1-1-1-1-20-2-2011-2-20011112-1-1-1-10-200000111100000000
χ312222-1222-1-1222-122-1-1-1-1-2-2-122-1111122-1-1-1-1-2-1-12211-1-1-2-2111120-2-20-1-1-2-2001111-2-1-1110200000-1-11100000000
χ322222-1222-1-1222-122-1-1-1-1-2-2-122-11111-2-21111-2-1-12211-1-1-2-21111-20220112200-1-1-1-1-2-1-1110-20000011-1-100000000
χ332222-1222-1-1222-1-2-2-1-1-1-122-122-1-1-1-1-122-1-1-1-1-211-2-211-1-122-1-1-1-120-2-20-1-12200-1-1-1-1-211110-200000111100000000
χ342222-1222-1-1222-1-2-2-1-1-1-122-122-1-1-1-1-1-2-21111-211-2-211-1-122-1-1-1-1-2022011-2-2001111-211110200000-1-1-1-100000000
χ352222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-1111122-1-1-1-1211-2-2-1-1-1-1-2-2111120220-1-1-2-2001111211-1-10-20000011-1-100000000
χ362222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-11111-2-21111211-2-2-1-1-1-1-2-21111-20-2-20112200-1-1-1-1211-1-10200000-1-11100000000
χ372-2-2222-22-2-2-2-2222-22-2-2200-22-22000000000002-22-200-22000000002-20002-20022-2-202-2000000000002-200000000
χ382-2-2222-22-2-2-2-2222-22-2-2200-22-22000000000002-22-200-2200000000-22000-2200-2-22202-200000000000-2200000000
χ392-2-2222-22-2-2-2-222-222-2-2200-22-2200000000000-22-2200-22000000002-2000-2200-2-2220-22000000000002-200000000
χ402-2-2222-22-2-2-2-222-222-2-2200-22-2200000000000-22-2200-2200000000-220002-20022-2-20-2200000000000-2200000000
χ412-2-22-12-2211-2-22-12-2-111-10012-2-1−i3−i3i3i300−i3−i3i3i30-112-2−i3i31-100−i3−i3i3i3002-20−i3i32-200-1-1110-11−i3i30000000−i3i3-1100000000
χ422-2-22-12-2211-2-22-12-2-111-10012-2-1−i3−i3i3i300i3i3−i3−i30-112-2−i3i31-100−i3−i3i3i300-220i3−i3-220011-1-10-11−i3i30000000i3−i31-100000000
χ432-2-22-12-2211-2-22-12-2-111-10012-2-1i3i3−i3−i300−i3−i3i3i30-112-2i3−i31-100i3i3−i3−i300-220−i3i3-220011-1-10-11i3−i30000000−i3i31-100000000
χ442-2-22-12-2211-2-22-12-2-111-10012-2-1i3i3−i3−i300i3i3−i3−i30-112-2i3−i31-100i3i3−i3−i3002-20i3−i32-200-1-1110-11i3−i30000000i3−i3-1100000000
χ452-2-22-12-2211-2-22-1-22-111-10012-2-1−i3−i3i3i300−i3−i3i3i301-1-22i3−i31-100−i3−i3i3i300-220−i3i32-200-1-11101-1i3−i30000000i3−i31-100000000
χ462-2-22-12-2211-2-22-1-22-111-10012-2-1−i3−i3i3i300i3i3−i3−i301-1-22i3−i31-100−i3−i3i3i3002-20i3−i3-220011-1-101-1i3−i30000000−i3i3-1100000000
χ472-2-22-12-2211-2-22-1-22-111-10012-2-1i3i3−i3−i300−i3−i3i3i301-1-22−i3i31-100i3i3−i3−i3002-20−i3i3-220011-1-101-1−i3i30000000i3−i3-1100000000
χ482-2-22-12-2211-2-22-1-22-111-10012-2-1i3i3−i3−i300i3i3−i3−i301-1-22−i3i31-100i3i3−i3−i300-220i3−i32-200-1-11101-1−i3i30000000−i3i31-100000000
χ4944444-2-4-444-2-2-2400-2-2-2-200-422-400000000000000000220000000400-4000022000000000000-2000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-200-422-400000000000000000220000000-40040000-2-20000000000002000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-2002-4-42000044-2-2-2-2000000022000000-400002200000000000000000000000000000000
χ524444-24-4-4-2-2444-200-2-2-2-2002-4-420000-4-4222200000002200000040000-2-200000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000211-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-2-1-1110000000000000000000
χ5744-4-444004-44-4-4-40044-4-422−22000022−2222−2200000000000000022−2222−2222−22000000000000000000000000000000000000000
χ5844-4-444004-44-4-4-40044-4-4−22220000−2222−2222000000000000000−2222−2222−2222000000000000000000000000000000000000000
χ5944-4-44-2004-4-222-400-2-22222−22000022−2222−22000000000000000−22−22−2200000000023−23000000000000000000006−6000000
χ6044-4-44-2004-4-222-400-2-22222−22000022−2222−22000000000000000−22−22−22000000000−232300000000000000000000−66000000
χ6144-4-44-2004-4-222-400-2-222−22220000−2222−22220000000000000002−22−22−200000000023−2300000000000000000000−66000000
χ6244-4-44-2004-4-222-400-2-222−22220000−2222−22220000000000000002−22−22−2000000000−2323000000000000000000006−6000000
χ6344-4-4-2400-224-4-4200-2-22222−220000−22−220023−2323−2300000000022−22−22−22000000000006−66−6000000000000000000000000
χ6444-4-4-2400-224-4-4200-2-22222−220000−22−2200−2323−232300000000022−22−22−2200000000000−66−66000000000000000000000000
χ6544-4-4-2400-224-4-4200-2-222−222200002−22−20023−2323−23000000000−22222−22−200000000000−66−66000000000000000000000000
χ6644-4-4-2400-224-4-4200-2-222−222200002−22−200−2323−2323000000000−22222−22−2000000000006−66−6000000000000000000000000
χ674-44-44400-44-44-4-4004-44-400000000004i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ684-44-44400-44-44-4-4004-44-40000000000−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ694-44-4-24002-2-44-4200-22-22000000i6−i6−i6i64i−4i−2i2i2i−2i00000000000i6−i6−i6i600000000000−666−6000000000000000000000000
χ704-44-4-24002-2-44-4200-22-22000000i6−i6−i6i6−4i4i2i−2i−2i2i00000000000i6−i6−i6i6000000000006−6−66000000000000000000000000
χ714-44-4-24002-2-44-4200-22-22000000−i6i6i6−i64i−4i−2i2i2i−2i00000000000−i6i6i6−i6000000000006−6−66000000000000000000000000
χ724-44-4-24002-2-44-4200-22-22000000−i6i6i6−i6−4i4i2i−2i−2i2i00000000000−i6i6i6−i600000000000−666−6000000000000000000000000
χ734-4-44444-4-4-4-4-444004-4-44004-44-4000000000000000004-4000000000000000000000000000000000000000000000
χ744-4-444-24-4-4-422-2400-222-20042-2-400000000000000000-220000000000000000000000000000000−2i32i3000000000000
χ754-4-444-24-4-4-422-2400-222-20042-2-400000000000000000-2200000000000000000000000000000002i3−2i3000000000000
χ764-4-444-2-44-4-422-244-4-222-200-4-224000000000004-4-22002-20000000000000000000000-22000000000000000000000
χ774-4-444-2-44-4-422-24-44-222-200-4-22400000000000-442-2002-200000000000000000000002-2000000000000000000000
χ784-4-44-244-422-4-44-200-222-200-2-442000000−2i3−2i32i32i30000000-22000000000002i3−2i300000000000000000000000000000000
χ794-4-44-244-422-4-44-200-222-200-2-4420000002i32i3−2i3−2i30000000-2200000000000−2i32i300000000000000000000000000000000
χ804-4-44-2-2-442222-2-24-41-1-11002-22-2−2i3−2i32i32i30000000-22-22−2i32i3-1100i3i3−i3−i300000000000000001-1i3−i30000000000000000000
χ814-4-44-2-2-442222-2-24-41-1-11002-22-22i32i3−2i3−2i30000000-22-222i3−2i3-1100−i3−i3i3i300000000000000001-1−i3i30000000000000000000
χ824-4-44-2-2-442222-2-2-441-1-11002-22-2−2i3−2i32i32i300000002-22-22i3−2i3-1100i3i3−i3−i30000000000000000-11−i3i30000000000000000000
χ834-4-44-2-2-442222-2-2-441-1-11002-22-22i32i3−2i3−2i300000002-22-2−2i32i3-1100−i3−i3i3i30000000000000000-11i3−i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-44440022-2-242−420000−2222−2222000000000000000−22222−22−2000000000000000000000000000000000000000
χ8688-8-8-4-400-44-44440022-2-2−4242000022−2222−2200000000000000022−22−22−22000000000000000000000000000000000000000
χ878-88-88-400-884-44-800-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-44-444002-22-20000002i6−2i6−2i62i600000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ898-88-8-4-4004-44-444002-22-2000000−2i62i62i6−2i600000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ908-8-88-4-48-84444-4-4002-2-2200-44-44000000000000000002-2000000000000000000000000000000000000000000000

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