Finite Group Databasebeta

← Group #11884407

Character table — Group #11884407

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666623444666121212121212121212121212121212124426666666666661212121212121212244881212121224446668121212242424242288121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111111-11-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-11-11-1-1-11-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-11111111-1-1-1-11111111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11-1-111-1-11111-1-111-1-1-11
χ611111111111111111-1-11111111-1-1-1-11111111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1111-1-11111-11-111-1-1-11-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-11111111-1-1-1-111111111-1-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11-11-1-1111-111111111-1-1-1-11-1
χ811111111111111111-1-11111111-1-1-1-111111111-1-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111-11
χ911111111111111-11-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11111-1-1111-1-1-1-111-1-11111-11-1-1
χ1011111111111111-11-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-111111-1-1-1-1-111-1-1-1-11-111
χ1111111111111111-11-11111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1111
χ1211111111111111-11-11111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-111-1-1-11111-1-11111111-1-1-1
χ1311111111111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-11111-1-111-1-1-1-11-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1111-11-1
χ1411111111111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-11111-1-111-1-1-1-11-1-1-1-1-1-111-111-11-1-11-111-1-11111-1-1-11-11
χ1511111111111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-111-1-11111-1-111-1-1-1-1-1111111-1-11-1-11-111-11-1-111-1-111-1-11-1-11
χ1611111111111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-111-1-11111-1-111-1-1-1-1-111-1-111-1-111-1-1-11111-1-1-1-111-1-111-111-1
χ17222222-2-222222222-200222-2-2-2-20000-2-2-2-2-2-2-2-222020020022000000-2-20000-2-2200-2-2220000-2000200000000000000
χ18222222-2-222222222-200222-2-2-2-20000-2-2-2-2-2-2-2-2-2-2020020022000000-2-2000022-20022-2-200002000-200000000000000
χ19222222-2-2222222-22200222-2-2220000222222-2-2220-200-200-2-2000000-2-20000-22-20022220000-2000-200000000000000
χ20222222-2-2222222-22200222-2-2220000222222-2-2-2-20-200-200-2-2000000-2-200002-2200-2-2-2-200002000200000000000000
χ2122222-1222-12-1-122-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122200-1-1-1-12020-1-1-10-1-1-1000000000000
χ2222222-1222-12-1-122-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2001111-20-201110111000000000000
χ2322222-1222-12-1-122-12-2-2-1-1-1-1-1-1-1111122-1-1-1-12222-22-2-2-111-1-11111-2-2-1-1111122200-1-1-1-1-20-20-1110-111000000000000
χ2422222-1222-12-1-122-12-2-2-1-1-1-1-1-1-1111122-1-1-1-122-2-2-22-2-2-111-1-11111-2-2-1-11111-2-2-200111120201-1-101-1-1000000000000
χ2522222-1222-12-1-12-2-1-222-1-1-1-1-111-1-1-1-1-2-211112222-2-2-2-211111111122-1-1-1-1-1-12-2-20011-1-120-20-1-1-10111000000000000
χ2622222-1222-12-1-12-2-1-222-1-1-1-1-111-1-1-1-1-2-2111122-2-2-2-2-2-211111111122-1-1-1-1-1-1-22200-1-111-20201110-1-1-1000000000000
χ2722222-1222-12-1-12-2-1-2-2-2-1-1-1-1-1111111-2-2111122222-2221-1-111-1-1-1-1-2-2-1-111112-2-20011-1-1-2020-11101-1-1000000000000
χ2822222-1222-12-1-12-2-1-2-2-2-1-1-1-1-1111111-2-2111122-2-22-2221-1-111-1-1-1-1-2-2-1-11111-22200-1-11120-201-1-10-111000000000000
χ2922222-1-2-22-12-1-122-1-200-1-1-11111−i3−i3i3i3-2-21111-2-2220200-1−i3i3-1-1−i3−i3i3i30011−i3−i3i3i3-2-220011-1-100001−i3i30-1−i3i3000000000000
χ3022222-1-2-22-12-1-122-1-200-1-1-11111−i3−i3i3i3-2-21111-2-2-2-20200-1−i3i3-1-1−i3−i3i3i30011−i3−i3i3i322-200-1-1110000-1i3−i301i3−i3000000000000
χ3122222-1-2-22-12-1-122-1-200-1-1-11111i3i3−i3−i3-2-21111-2-2220200-1i3−i3-1-1i3i3−i3−i30011i3i3−i3−i3-2-220011-1-100001i3−i30-1i3−i3000000000000
χ3222222-1-2-22-12-1-122-1-200-1-1-11111i3i3−i3−i3-2-21111-2-2-2-20200-1i3−i3-1-1i3i3−i3−i30011i3i3−i3−i322-200-1-1110000-1−i3i301−i3i3000000000000
χ3322222-1-2-22-12-1-12-2-1200-1-1-111-1-1−i3−i3i3i322-1-1-1-1-2-2220-2001i3−i311i3i3−i3−i30011−i3−i3i3i3-22-200-1-1-1-100001−i3i301i3−i3000000000000
χ3422222-1-2-22-12-1-12-2-1200-1-1-111-1-1−i3−i3i3i322-1-1-1-1-2-2-2-20-2001i3−i311i3i3−i3−i30011−i3−i3i3i32-220011110000-1i3−i30-1−i3i3000000000000
χ3522222-1-2-22-12-1-12-2-1200-1-1-111-1-1i3i3−i3−i322-1-1-1-1-2-2220-2001−i3i311−i3−i3i3i30011i3i3−i3−i3-22-200-1-1-1-100001i3−i301−i3i3000000000000
χ3622222-1-2-22-12-1-12-2-1200-1-1-111-1-1i3i3−i3−i322-1-1-1-1-2-2-2-20-2001−i3i311−i3−i3i3i30011i3i3−i3−i32-220011110000-1−i3i30-1i3−i3000000000000
χ372222-1222-12-122-12-1222-1-1-122222222-1-1-1-1-1-1-1-1002-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100022000002020002000-1-1-1-10000-1-100
χ382222-1222-12-122-12-1222-1-1-122222222-1-1-1-1-1-1-1-1002-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-200000-20-2000-2000111100001100
χ392222-1222-12-122-12-12-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-100-2-1112-2-2-1-1111111-1-111110002200000-20-20002000-1-1-1-100001100
χ402222-1222-12-122-12-12-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-100-2-1112-2-2-1-1111111-1-11111000-2-200000202000-200011110000-1-100
χ412222-1222-12-122-1-2-1-222-1-1-122-2-22222111111-1-100-2111-2-2-2111111-1-1-1-1-1-1-1-1000220000020-2000-2000-1-11100001-100
χ422222-1222-12-122-1-2-1-222-1-1-122-2-22222111111-1-100-2111-2-2-2111111-1-1-1-1-1-1-1-1000-2-200000-202000200011-1-10000-1100
χ432222-1222-12-122-1-2-1-2-2-2-1-1-122-2-2-2-2-2-2111111-1-10021-1-1-22211-1-1-1-111-1-111110002200000-202000-2000-1-1110000-1100
χ442222-1222-12-122-1-2-1-2-2-2-1-1-122-2-2-2-2-2-2111111-1-10021-1-1-22211-1-1-1-111-1-11111000-2-20000020-2000200011-1-100001-100
χ452-22-222-22-2-2-22-220202-2-2-222-2002-22-20000002-20000000000000002-22-22-22-20000000000000000000000002-22-20000
χ462-22-222-22-2-2-22-220202-2-2-222-2002-22-20000002-20000000000000002-22-22-22-2000000000000000000000000-22-220000
χ472-22-222-22-2-2-22-22020-22-2-222-200-22-220000002-2000000000000000-222-2-22-220000000000000000000000002-2-220000
χ482-22-222-22-2-2-22-22020-22-2-222-200-22-220000002-2000000000000000-222-2-22-22000000000000000000000000-222-20000
χ494444-24-4-4-24-244-24-2-400-2-2-2-4-4-4-4000022222222000-200400-2-200000022000000000000000000000000000000000000
χ504444-24-4-4-24-244-2-4-2400-2-2-2-4-4440000-2-2-2-2-2-222000200-4002200000022000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-241444111-2-2-2-2-2-2-2-2-2-21111-2-2004-2-2-2-2-2-2111111-2-211111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2414-4-4111-2-2-2-22222-2-21111-2-200-4-222-22211-1-1-1-12211-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-444111-2-222-2-2-2-222-1-1-1-1-2-200-4222222-1-1-1-1-1-1-2-211111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4-4-4111-2-222222222-1-1-1-1-2-20042-2-22-2-2-1-111112211-1-1-1-100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4001112222−2i3−2i32i32i322-1-1-1-122000-200-2−2i32i311i3i3−i3−i300-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-40011122222i32i3−2i3−2i322-1-1-1-122000-200-22i3−2i311−i3−i3i3i300-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-4140011122-2-2−2i3−2i32i32i3-2-211112200020022i3−2i3-1-1−i3−i3i3i300-1-1i3i3−i3−i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-4140011122-2-22i32i3−2i3−2i3-2-21111220002002−2i32i3-1-1i3i3−i3−i300-1-1−i3−i3i3i300000000000000000000000000000000
χ5944-4-4440044-4-4-4-4040004-4-400000000000000004i−4i00000000000000000000000000004i−4i00000000000000000000000
χ6044-4-4440044-4-4-4-4040004-4-40000000000000000−4i4i0000000000000000000000000000−4i4i00000000000000000000000
χ6144-4-44-2004-2-422-40-2000-2220023−230000002323−23−23004i−4i00000000000000000000000000−2i32i3−2i2i00000000000000000000000
χ6244-4-44-2004-2-422-40-2000-2220023−230000002323−23−2300−4i4i000000000000000000000000002i3−2i32i−2i00000000000000000000000
χ6344-4-44-2004-2-422-40-2000-22200−2323000000−23−232323004i−4i000000000000000000000000002i3−2i3−2i2i00000000000000000000000
χ6444-4-44-2004-2-422-40-2000-22200−2323000000−23−23232300−4i4i00000000000000000000000000−2i32i32i−2i00000000000000000000000
χ654-44-4444-4-4-4-44-4404000-4-44-44000000000000-4400000000000000000-44000000000000000000000000000000000000
χ664-44-44-24-4-42-4-2240-200022-22-200−2i32i32i3−2i3000000-44000000000000000002-2−2i32i32i3−2i300000000000000000000000000000000
χ674-44-44-24-4-42-4-2240-200022-22-2002i3−2i3−2i32i3000000-44000000000000000002-22i3−2i3−2i32i300000000000000000000000000000000
χ684-44-44-2-44-42-4-2240-204-422-2-2200-22-220000004-40000000000000004-4-22-22-2200000000000000000000000000000000
χ694-44-44-2-44-42-4-2240-20-4422-2-22002-22-20000004-4000000000000000-44-222-22-200000000000000000000000000000000
χ704-44-4-244-42-424-4-20-200022-2-440000000000002-20000−2i32i300000−2i32i3−2i32i3002-2000000000000000000000000000000000000
χ714-44-4-244-42-424-4-20-200022-2-440000000000002-200002i3−2i3000002i3−2i32i3−2i3002-2000000000000000000000000000000000000
χ724-44-4-24-442-424-4-20-204-422-24-4004-44-4000000-22000000000000000-22-22-22-2200000000000000000000000000000000
χ734-44-4-24-442-424-4-20-20-4422-24-400-44-44000000-220000000000000002-2-222-22-200000000000000000000000000000000
χ744-44-4-2-24-4222-22-201000-1-112-200−2i32i32i3−2i3003-33-32-20000−2i32i30003-3i3−i3i3−i300-11i3−i3−i3i300000000000000000000000000000000
χ754-44-4-2-24-4222-22-201000-1-112-200−2i32i32i3−2i300-33-332-200002i3−2i3000-33−i3i3−i3i300-11i3−i3−i3i300000000000000000000000000000000
χ764-44-4-2-24-4222-22-201000-1-112-2002i3−2i3−2i32i3003-33-32-200002i3−2i30003-3−i3i3−i3i300-11−i3i3i3−i300000000000000000000000000000000
χ774-44-4-2-24-4222-22-201000-1-112-2002i3−2i3−2i32i300-33-332-20000−2i32i3000-33i3−i3i3−i300-11−i3i3i3−i300000000000000000000000000000000
χ784-44-4-2-2-44222-22-20104-4-1-11-2200-22-22003-33-3-22000000000-333-3-33-221-11-11-100000000000000000000000000000000
χ794-44-4-2-2-44222-22-20104-4-1-11-2200-22-2200-33-33-220000000003-3-333-3-221-11-11-100000000000000000000000000000000
χ804-44-4-2-2-44222-22-2010-44-1-11-22002-22-2003-33-3-22000000000-33-333-32-21-1-11-1100000000000000000000000000000000
χ814-44-4-2-2-44222-22-2010-44-1-11-22002-22-200-33-33-220000000003-33-3-332-21-1-11-1100000000000000000000000000000000
χ824-4-444400-4-44-44-404000-44-400000000000000000000000000000000000000000022−2200000000000000022−220000000000
χ834-4-444400-4-44-44-404000-44-4000000000000000000000000000000000000000000−2222000000000000000−22220000000000
χ844-4-44-24002-4-2-4420-20002-220000000023−2323−23−2323000000000000000000000000000022−22000000000000000−226−600000000
χ854-4-44-24002-4-2-4420-20002-220000000023−2323−23−23230000000000000000000000000000−22220000000000000002−2−6600000000
χ864-4-44-24002-4-2-4420-20002-2200000000−2323−232323−23000000000000000000000000000022−22000000000000000−22−6600000000
χ874-4-44-24002-4-2-4420-20002-2200000000−2323−232323−230000000000000000000000000000−22220000000000000002−26−600000000
χ8888-8-8-4800-484-8-840-4000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-44444020002-2-20043−43000000−23−232323000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444020002-2-200−43430000002323−23−23000000000000000000000000000000000000000000000000000000000
χ918-8-888-400-8484-4-80-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-4402000-22-20000000043−43−232323−23000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-44-4402000-22-200000000−434323−23−2323000000000000000000000000000000000000000000000000000000000

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