Finite Group Databasebeta

← Group #11889385

Character table — Group #11889385

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666662344466666666666121212121212121222412121212121212121212121212121212121212124446688121244448121212121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1111-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-11-111-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-11111111111111-1-1-1-11111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-11-1-11111-1-111-1-1-11
χ611111111111111111-1-11111111111111-1-1-1-11111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111-1-111-11-11-11-1-11-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-11111111111111-1-1-1-111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-111-111111111-1-1-1-11-1
χ811111111111111111-1-11111111111111-1-1-1-111-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-11111-11
χ911111111111111-11-111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-11-1-11-1-1-1-111111-1-111111-1-1-1
χ1011111111111111-11-111-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-1-1-111-1-11-1-1-1111-1-111-1-1-1-1-1111
χ1111111111111111-11-111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-111-1111-1-1-111-1-1-1-1-1-11-111
χ1211111111111111-11-111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-111-11111-1-1-1-1-1111111-11-1-1
χ1311111111111111-11-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-111-11111-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1111-1-111-1-1-1-111-111-1
χ1411111111111111-11-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-111-11111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111-1111-1-1-1-11111-1-11-1-11
χ1511111111111111-11-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-11-1-1-111-11111-1-1-1-1-1-11111-111-1-1111111-1-1-11-1-1-11111-1-111-1-1-11-11
χ1611111111111111-11-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-11-1-1-111-11111-1-1-1-1-1-11111-111-1-1-1-1111-1-1111-1-1-111-1-111-1-1111-11-1
χ17222222-2-222222222-20022222222222-2-20000-2-2220-20000-200-2-2-2-200000000-22-222002200000-200-200000000000000
χ18222222-2-222222222-20022222222222-2-20000-2-2-2-20-20000-200-2-2-2-2000000002-22-2-200-2-200000200200000000000000
χ19222222-2-2222222-22200-2-2-2-222-2-2-2-22-2-20000-2-222020000200-2-22200000000-2-222200-2-200000200-200000000000000
χ20222222-2-2222222-22200-2-2-2-222-2-2-2-22-2-20000-2-2-2-2020000200-2-2220000000022-2-2-2002200000-200200000000000000
χ2122222-1222-12-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100-1-120200-1-1-1-1-1-1000000000000
χ2222222-1222-12-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2110011-20-200111111000000000000
χ2322222-1222-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-1-111112222-22-2-2-2-2-111-1-1-1-111111111222-1-100-1-1-20-200-111-111000000000000
χ2422222-1222-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-1-1111122-2-2-22-2-2-2-2-111-1-1-1-111111111-2-2-2110011202001-1-11-1-1000000000000
χ2522222-1222-12-12-1-2-1-222-2-211-1-11111-1-1-1-1-1-1-12222-2-222-2-2111-1-111-1-1-1-111112-2-2-1-1001120-200111-1-1-1000000000000
χ2622222-1222-12-12-1-2-1-222-2-211-1-11111-1-1-1-1-1-1-122-2-2-2-222-2-2111-1-111-1-1-1-11111-2221100-1-1-20200-1-1-1111000000000000
χ2722222-1222-12-12-1-2-1-2-2-2-2-211-1-11111-1-1-1111122222-2-2-2221-1-1-1-1111111-1-1-1-12-2-2-1-10011-202001-1-1-111000000000000
χ2822222-1222-12-12-1-2-1-2-2-2-2-211-1-11111-1-1-1111122-2-22-2-2-2221-1-1-1-1111111-1-1-1-1-2221100-1-120-200-1111-1-1000000000000
χ2922222-1-2-22-12-12-12-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-22-2-1-100-1-1000001−i3i31−i3i3000000000000
χ3022222-1-2-22-12-12-12-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i32-2211001100000-1i3−i3-1i3−i3000000000000
χ3122222-1-2-22-12-12-12-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-22-2-1-100-1-1000001i3−i31i3−i3000000000000
χ3222222-1-2-22-12-12-12-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i32-2211001100000-1−i3i3-1−i3i3000000000000
χ3322222-1-2-22-12-12-1-2-1200-2-211-1-11111-111−i3−i3i3i3-2-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-22-1-1001100000-1i3−i31−i3i3000000000000
χ3422222-1-2-22-12-12-1-2-1200-2-211-1-11111-111−i3−i3i3i3-2-2-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i322-21100-1-1000001−i3i3-1i3−i3000000000000
χ3522222-1-2-22-12-12-1-2-1200-2-211-1-11111-111i3i3−i3−i3-2-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-22-1-1001100000-1−i3i31i3−i3000000000000
χ3622222-1-2-22-12-12-1-2-1200-2-211-1-11111-111i3i3−i3−i3-2-2-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i322-21100-1-1000001i3−i3-1−i3i3000000000000
χ372222-1222-12-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000220002022000000-1-1-1-10000-1-100
χ382222-1222-12-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000-2-2000-20-2-2000000111100001100
χ392222-1222-12-12-122-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-100-2-111112-2-2-1-1-1-1111111110000022000-20-22000000-1-1-1-100001100
χ402222-1222-12-12-122-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-100-2-111112-2-2-1-1-1-11111111100000-2-2000202-200000011110000-1-100
χ412222-1222-12-12-12-2-1-22211-2-2-1-11111-1222222-1-100-21-1-111-2-2-2-1-111-1-1-1-111110000022000-202-2000000-1-1110000-1100
χ422222-1222-12-12-12-2-1-22211-2-2-1-11111-1222222-1-100-21-1-111-2-2-2-1-111-1-1-1-1111100000-2-200020-2200000011-1-100001-100
χ432222-1222-12-12-12-2-1-2-2-211-2-2-1-11111-122-2-2-2-2-1-1002111-1-1-222-1-1111111-1-1-1-1000002200020-2-2000000-1-11100001-100
χ442222-1222-12-12-12-2-1-2-2-211-2-2-1-11111-122-2-2-2-2-1-1002111-1-1-222-1-1111111-1-1-1-100000-2-2000-202200000011-1-10000-1100
χ4522-2-2222-2-2-2-2-2220202-20000-2-2000022-22-22-22-200002-2000002-2002-22-200000000000000000000000000002i−2i2i−2i0000
χ4622-2-2222-2-2-2-2-2220202-20000-2-2000022-22-22-22-200002-2000002-2002-22-20000000000000000000000000000−2i2i−2i2i0000
χ4722-2-2222-2-2-2-2-222020-220000-2-2000022-2-22-222-20000-22000002-200-22-2200000000000000000000000000002i−2i−2i2i0000
χ4822-2-2222-2-2-2-2-222020-220000-2-2000022-2-22-222-20000-22000002-200-22-220000000000000000000000000000−2i2i2i−2i0000
χ494444-24-4-4-24-24-244-2-400-2-244-2-2-2-2-2-2-2-4-400002200020000-40022220000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-4-240022-4-4-2-22222-2-4-4000022000-2000040022-2-20000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-241444-2-2-2-21111111-2-2-2-2-2-2-2-2004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2414-4-4-2-2-2-21111111-2-22222-2-200-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-444222211-1-1-1-11-2-2-2-2-2-2-2-200-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4-4-4222211-1-1-1-11-2-22222-2-2004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-2111111122−2i3−2i32i32i322000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-21111111222i32i3−2i3−2i3220002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-1122−2i3−2i32i32i322000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-11222i32i3−2i3−2i322000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-444-44-4-4-4-444040000000-4-400004-440000-4400000000000-44000000000000000000000000000000000000000000
χ6044-4-44-24-4-42-424-20-204-40000220000-2-22-22-224-400004-400000-2200-22-22000000000000000000000000000000000000
χ6144-4-44-24-4-42-424-20-20-440000220000-2-222-22-24-40000-4400000-22002-22-2000000000000000000000000000000000000
χ6244-4-44-2-44-42-424-20-20000000220000-22-2−2i32i32i3−2i3-44000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000
χ6344-4-44-2-44-42-424-20-20000000220000-22-22i3−2i3−2i32i3-44000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000
χ6444-4-4-244-42-42-4-240-204-40000220000-24-44-44-4-220000-2200000-2200-22-22000000000000000000000000000000000000
χ6544-4-4-244-42-42-4-240-20-440000220000-24-4-44-44-2200002-200000-22002-22-2000000000000000000000000000000000000
χ6644-4-4-24-442-42-4-240-20000000220000-2-4400002-2000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000
χ6744-4-4-24-442-42-4-240-20000000220000-2-4400002-20000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000
χ6844-4-4-2-24-42222-2-20104-40000-1-133-3-31-22-22-22-220000-22000001-13-31-11-13-3-3300000000000000000000000000000000
χ6944-4-4-2-24-42222-2-20104-40000-1-1-3-3331-22-22-22-220000-22000001-1-331-11-1-333-300000000000000000000000000000000
χ7044-4-4-2-24-42222-2-2010-440000-1-133-3-31-222-22-2-2200002-2000001-13-3-11-11-333-300000000000000000000000000000000
χ7144-4-4-2-24-42222-2-2010-440000-1-1-3-3331-222-22-2-2200002-2000001-1-33-11-113-3-3300000000000000000000000000000000
χ7244-4-4-2-2-442222-2-2010000000-1-133-3-312-2−2i32i32i3−2i32-20000002i3−2i3000-11-33i3−i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ7344-4-4-2-2-442222-2-2010000000-1-133-3-312-22i3−2i3−2i32i32-2000000−2i32i3000-11-33−i3i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ7444-4-4-2-2-442222-2-2010000000-1-1-3-33312-2−2i32i32i3−2i32-2000000−2i32i3000-113-3i3−i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ7544-4-4-2-2-442222-2-2010000000-1-1-3-33312-22i3−2i3−2i32i32-20000002i3−2i3000-113-3−i3i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ764-44-444004-4-44-4-40400000004-40000-400000000000000000000000000000000000022−22000000000000022−220000000000
χ774-44-444004-4-44-4-40400000004-40000-4000000000000000000000000000000000000−22220000000000000−22220000000000
χ784-44-4-2400-2-4242-40-2000−2i32i300-22−2i32i3−2i32i3200000000000000000000000000000000000022−220000000000000−22i6−i600000000
χ794-44-4-2400-2-4242-40-2000−2i32i300-22−2i32i3−2i32i32000000000000000000000000000000000000−222200000000000002−2−i6i600000000
χ804-44-4-2400-2-4242-40-20002i3−2i300-222i3−2i32i3−2i3200000000000000000000000000000000000022−220000000000000−22−i6i600000000
χ814-44-4-2400-2-4242-40-20002i3−2i300-222i3−2i32i3−2i32000000000000000000000000000000000000−222200000000000002−2i6−i600000000
χ824-4-444400-444-4-4-4040000000-440000-4000000004-40000000000000000000000004-4000000000000000000000000000
χ834-4-444400-444-4-4-4040000000-440000-400000000-44000000000000000000000000-44000000000000000000000000000
χ844-4-444-200-4-242-420-200000−2i32i32-2−2i32i32i3−2i32000000004-4000000000000000000000000-2200−2i32i300000000000000000000000
χ854-4-444-200-4-242-420-200000−2i32i32-2−2i32i32i3−2i3200000000-440000000000000000000000002-2002i3−2i300000000000000000000000
χ864-4-444-200-4-242-420-2000002i3−2i32-22i3−2i3−2i32i32000000004-4000000000000000000000000-22002i3−2i300000000000000000000000
χ874-4-444-200-4-242-420-2000002i3−2i32-22i3−2i3−2i32i3200000000-440000000000000000000000002-200−2i32i300000000000000000000000
χ888-88-88-40084-8-4-840-40000000-4400004000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-444-44402000−4i34i3002-22i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-444-444020004i3−4i3002-2−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480048-4-84-80-400000004-400004000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-4-44440200000−4i34i3-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4004-4-444402000004i3−4i3-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000

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