Finite Group Databasebeta

← Group #11889374

Character table — Group #11889374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666623444666121212121212121212121212121212122246666121212121212121212121212121212124446688121244448121212121212242424244488121248
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
χ51111111111111111-1-11111111111-1-1-1-111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ61111111111111111-1-11111111111-1-1-1-111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-11-11-111-1-1-1-1-1-1-1-111-1-1111-1
χ71111111111111111-1-11111111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-11111111111-1-1-1-11-1
χ81111111111111111-1-11111111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ911111111111111-1111-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111-1-11-1-11-11-111-1-111-1-111111-1-1-1
χ1011111111111111-1111-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-111-111-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1111-1111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-11111-1-111-1-11-1-11111-1-1-1-1-1-11-111
χ1211111111111111-1111-1111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-111-11-11-1-111-1-1111111-11-1-1
χ1311111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-111111-1-1-111-1-11-1-1-11111-1-1-1-111-111-1
χ1411111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1111-1-1-1-1-1-11111-1-1-111-1-11111-1-11-1-11
χ1511111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1111111-1-1-1-1111-1-111-1-111-1-1-11-11
χ1611111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-111-1111-1-1-1-111-1-1111-11-1
χ17222222-2-22222222200-2222-2-2-2-2-2-20000-2-2-2-2-2-22202222000000-2-2000000002-2-22200-2-200000-220000000000000000
χ18222222-2-22222222200-2222-2-2-2-2-2-20000-2-2-2-2-2-2-2-202222000000-2-200000000-222-2-20022000002-20000000000000000
χ19222222-2-2222222-2200222222-2-22200002222-2-2220-2-2-2-2000000-2-200000000-22-222002200000-2-20000000000000000
χ20222222-2-2222222-2200222222-2-22200002222-2-2-2-20-2-2-2-2000000-2-2000000002-22-2-200-2-200000220000000000000000
χ2122222-1222-122-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1222-1-100-1-120200-1-1-1-1-1-1000000000000
χ2222222-1222-122-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2110011-20-200111111000000000000
χ2322222-1222-122-1-12-1-2-22-1-1-122-1-1-1-11111-1-1-1-12222-22-1-1-1-2-211-2-2-1-111111111222-1-100-1-1-20-200-1-11111000000000000
χ2422222-1222-122-1-12-1-2-22-1-1-122-1-1-1-11111-1-1-1-122-2-2-22-1-1-1-2-211-2-2-1-111111111-2-2-21100112020011-1-1-1-1000000000000
χ2522222-1222-122-1-1-2-122-2-1-1-1-2-2-1-111-1-1-1-111112222-2-21112211-2-2-1-1-1-1-1-11111-2-22-1-1001120-200-11-1-111000000000000
χ2622222-1222-122-1-1-2-122-2-1-1-1-2-2-1-111-1-1-1-1111122-2-2-2-21112211-2-2-1-1-1-1-1-1111122-21100-1-1-202001-111-1-1000000000000
χ2722222-1222-122-1-1-2-1-2-2-2-1-1-1-2-2-1-1111111111122222-2111-2-2-1-122-1-11111-1-1-1-1-2-22-1-10011-20200-1111-1-1000000000000
χ2822222-1222-122-1-1-2-1-2-2-2-1-1-1-2-2-1-1111111111122-2-22-2111-2-2-1-122-1-11111-1-1-1-122-21100-1-120-2001-1-1-111000000000000
χ2922222-1-2-22-122-1-12-100-2-1-1-1-2-21111−i3−i3i3i31111-2-22202-1-1-100−i3i30011−i3−i3i3i3−i3−i3i3i32-2-2-1-10011000001-1−i3i3−i3i3000000000000
χ3022222-1-2-22-122-1-12-100-2-1-1-1-2-21111−i3−i3i3i31111-2-2-2-202-1-1-100−i3i30011−i3−i3i3i3−i3−i3i3i3-2221100-1-100000-11i3−i3i3−i3000000000000
χ3122222-1-2-22-122-1-12-100-2-1-1-1-2-21111i3i3−i3−i31111-2-22202-1-1-100i3−i30011i3i3−i3−i3i3i3−i3−i32-2-2-1-10011000001-1i3−i3i3−i3000000000000
χ3222222-1-2-22-122-1-12-100-2-1-1-1-2-21111i3i3−i3−i31111-2-2-2-202-1-1-100i3−i30011i3i3−i3−i3i3i3−i3−i3-2221100-1-100000-11−i3i3−i3i3000000000000
χ3322222-1-2-22-122-1-1-2-1002-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-2220-211100i3−i30011−i3−i3i3i3i3i3−i3−i3-22-2-1-100-1-10000011−i3i3i3−i3000000000000
χ3422222-1-2-22-122-1-1-2-1002-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-2-2-20-211100i3−i30011−i3−i3i3i3i3i3−i3−i32-2211001100000-1-1i3−i3−i3i3000000000000
χ3522222-1-2-22-122-1-1-2-1002-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-2220-211100−i3i30011i3i3−i3−i3−i3−i3i3i3-22-2-1-100-1-10000011i3−i3−i3i3000000000000
χ3622222-1-2-22-122-1-1-2-1002-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-2-2-20-211100−i3i30011i3i3−i3−i3−i3−i3i3i32-2211001100000-1-1−i3i3i3−i3000000000000
χ372222-1222-12-1-1222-1222-1-1-1-1-122222222-1-1-1-1-1-1002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000220002022000000-1-1-1-10000-1-100
χ382222-1222-12-1-1222-1222-1-1-1-1-122222222-1-1-1-1-1-1002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000-2-2000-20-2-2000000111100001100
χ392222-1222-12-1-1222-1-2-22-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-2-12-1-111-2-211-1-1111111110000022000-20-22000000-1-1-1-100001100
χ402222-1222-12-1-1222-1-2-22-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-2-12-1-111-2-211-1-11111111100000-2-2000202-200000011110000-1-100
χ412222-1222-12-1-122-2-122-2-1-1-11122-2-222221111-1-100-21-211-1-1-2-211-1-1-1-1-1-111110000022000-202-2000000-1-1110000-1100
χ422222-1222-12-1-122-2-122-2-1-1-11122-2-222221111-1-100-21-211-1-1-2-211-1-1-1-1-1-1111100000-2-200020-2200000011-1-100001-100
χ432222-1222-12-1-122-2-1-2-2-2-1-1-11122-2-2-2-2-2-21111-1-10021-2111122-1-1-1-11111-1-1-1-1000002200020-2-2000000-1-11100001-100
χ442222-1222-12-1-122-2-1-2-2-2-1-1-11122-2-2-2-2-2-21111-1-10021-2111122-1-1-1-11111-1-1-1-100000-2-2000-202200000011-1-10000-1100
χ452-2-22222-2-2-22-22-2022i−2i02-2-2002-2002i−2i2i−2i00002-200000002i−2i00002-22i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ462-2-22222-2-2-22-22-2022i−2i02-2-2002-2002i−2i2i−2i00002-200000002i−2i00002-22i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ472-2-22222-2-2-22-22-202−2i2i02-2-2002-200−2i2i−2i2i00002-20000000−2i2i00002-2−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ482-2-22222-2-2-22-22-202−2i2i02-2-2002-200−2i2i−2i2i00002-20000000−2i2i00002-2−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ494444-24-4-4-24-2-2444-200-4-2-2-222-4-4-4-40000222222000-24-2-2000000220000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-4-2004-2-2-2-2-2-4-4440000-2-2-2-2220002-422000000220000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-241444111-2-2-2-2-2-2-2-2-2-21111-2-2004-2-211-2-2-2-2-2-2111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-241-4-44111-2-2-2-2-2-222221111-2-200-4-2-21122222211-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4144-411122-2-222-2-2-2-2-1-1-1-1-2-200-422-1-1-2-22222111111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4-4-411122-2-2222222-1-1-1-1-2-200422-1-122-2-2-2-211-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-24100-4111222222−2i3−2i32i32i3-1-1-1-122000-2-21100−2i32i300-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-24100-41112222222i32i3−2i3−2i3-1-1-1-122000-2-211002i3−2i300-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41004111-2-222-2-2−2i3−2i32i32i311112200022-1-1002i3−2i300-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41004111-2-222-2-22i32i3−2i3−2i311112200022-1-100−2i32i300-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-444004-4-4-4-4404000-44-400000000000000004-40000000000000000000000004-4000000000000000000000000000
χ6044-4-444004-4-4-4-4404000-44-40000000000000000-44000000000000000000000000-44000000000000000000000000000
χ6144-4-44-20042-4-42-20-20002-22000023−2300002323−23−23004-4000000000000000000000000-220023−2300000000000000000000000
χ6244-4-44-20042-4-42-20-20002-22000023−2300002323−23−2300-440000000000000000000000002-200−232300000000000000000000000
χ6344-4-44-20042-4-42-20-20002-220000−23230000−23−232323004-4000000000000000000000000-2200−232300000000000000000000000
χ6444-4-44-20042-4-42-20-20002-220000−23230000−23−23232300-440000000000000000000000002-20023−2300000000000000000000000
χ654-44-44400-44-44-4-404000-4-440000000000000000000000000000000000000000000022−22000000000000022−220000000000
χ664-44-44400-44-44-4-404000-4-4400000000000000000000000000000000000000000000−22220000000000000−22220000000000
χ674-44-4-2400242-2-4-40-200022-223−230000000023−2323−2300000000000000000000000000000022−220000000000000−226−600000000
χ684-44-4-2400242-2-4-40-200022-223−230000000023−2323−23000000000000000000000000000000−222200000000000002−2−6600000000
χ694-44-4-2400242-2-4-40-200022-2−232300000000−2323−232300000000000000000000000000000022−220000000000000−22−6600000000
χ704-44-4-2400242-2-4-40-200022-2−232300000000−2323−2323000000000000000000000000000000−222200000000000002−26−600000000
χ714-4-4444-44-4-44-44-4040004-4-400-440000000000-440000000000000-440000000000000000000000000000000000000000
χ724-4-444-24-4-424-4-220-24i−4i0-22200-2200−2i2i−2i2i00004-400000004i−4i0000-22−2i2i−2i2i000000000000000000000000000000000000
χ734-4-444-24-4-424-4-220-2−4i4i0-22200-22002i−2i2i−2i00004-40000000−4i4i0000-222i−2i2i−2i000000000000000000000000000000000000
χ744-4-444-2-44-424-4-220-2000-222002-20023−23−23230000-4400000000000002-223−23−2323000000000000000000000000000000000000
χ754-4-444-2-44-424-4-220-2000-222002-200−232323−230000-4400000000000002-2−232323−23000000000000000000000000000000000000
χ764-4-44-244-42-4-224-40-24i−4i0-222004-4004i−4i4i−4i0000-220000000−2i2i0000-22−2i2i−2i2i000000000000000000000000000000000000
χ774-4-44-244-42-4-224-40-2−4i4i0-222004-400−4i4i−4i4i0000-2200000002i−2i0000-222i−2i2i−2i000000000000000000000000000000000000
χ784-4-44-24-442-4-224-40-2000-22200-4400000000002-20000000000023−232-2000023−2323−2300000000000000000000000000000000
χ794-4-44-24-442-4-224-40-2000-22200-4400000000002-200000000000−23232-20000−2323−232300000000000000000000000000000000
χ804-4-44-2-24-422-22-22014i−4i01-1-100-2200−2i2i−2i2i3-3-33-22000003-3−2i2i00001-1i−ii−i3i−3i−3i3i00000000000000000000000000000000
χ814-4-44-2-24-422-22-22014i−4i01-1-100-2200−2i2i−2i2i-333-3-2200000-33−2i2i00001-1i−ii−i−3i3i3i−3i00000000000000000000000000000000
χ824-4-44-2-24-422-22-2201−4i4i01-1-100-22002i−2i2i−2i3-3-33-22000003-32i−2i00001-1−ii−ii−3i3i3i−3i00000000000000000000000000000000
χ834-4-44-2-24-422-22-2201−4i4i01-1-100-22002i−2i2i−2i-333-3-2200000-332i−2i00001-1−ii−ii3i−3i−3i3i00000000000000000000000000000000
χ844-4-44-2-2-4422-22-22010001-1-1002-20023−23−23233-3-332-200000-33000023−23-11−333−3−33−3300000000000000000000000000000000
χ854-4-44-2-2-4422-22-22010001-1-1002-20023−23−2323-333-32-2000003-30000−2323-11−333−33−33−300000000000000000000000000000000
χ864-4-44-2-2-4422-22-22010001-1-1002-200−232323−233-3-332-200000-330000−2323-113−3−333−33−300000000000000000000000000000000
χ874-4-44-2-2-4422-22-22010001-1-1002-200−232323−23-333-32-2000003-3000023−23-113−3−33−33−3300000000000000000000000000000000
χ8888-8-8-4800-4-844-880-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44444-402000-22-2000043−430000−23−232323000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44444-402000-22-20000−434300002323−23−23000000000000000000000000000000000000000000000000000000000
χ918-88-88-400-8-4-88440-400044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4004-44-44402000-2-2243−4300000000−2323−2323000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-44-44402000-2-22−43430000000023−2323−23000000000000000000000000000000000000000000000000000000000

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