Finite Group Databasebeta

← Group #11779344

Character table — Group #11779344

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order122233444466666634446661212121212121212121212121212121241212121212121212121212121212121212121212441212121222466668812122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1111111111111-1-1-1-1-1
χ611111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ711111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-1-1-1-1-1-111
χ811111111111111111-1-111111111111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111111-1-1
χ92222222-22-2222222222-2222-2-2222-2-22222-2-2-2-22-2-2-2-2-2-2-22222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-22-22222222-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-22-22222222200-222222-2-2-22200002222-200000-2-200-2-2-2-20000000022222200-2000000-2-20000000000000
χ12222222-22-22222222200-222222-2-2-22200002222-200000-2-200-2-2-2-200000000-2-2-2-2-2-2002000000220000000000000
χ13222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2000002200-2-222000000000000002-2022-2-200000000000000000
χ14222222-2-2-2-22222222002222-2-2-2-2-2-2-20000-2-2-2-2-2000002200-2-22200000000000000-220-2-22200000000000000000
χ1522222-1222222-1-1-12-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-100-1-10000000000000
χ1622222-1222222-1-1-12-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2111100110000000000000
χ1722222-1222222-1-1-12-1-2-22-1-1-1222-1-1-1-11111-1-1-1-12-2-2-211-12-2-2-1-1-1-11111111122-1-1-1-1-2-22111100-1-10000000000000
χ1822222-1222222-1-1-12-1-2-22-1-1-1222-1-1-1-11111-1-1-1-12-2-2-211-12-2-2-1-1-1-111111111-2-2111122-2-1-1-1-100110000000000000
χ1922222-12-22-222-1-1-12-122-2-1-1-1-2-22-1-111-1-1-1-111112-2-2-2111-222-1-111-1-1-1-1111100−i3−i3i3i3000−i3i3−i3i300−i3i30000000000000
χ2022222-12-22-222-1-1-12-122-2-1-1-1-2-22-1-111-1-1-1-111112-2-2-2111-222-1-111-1-1-1-1111100i3i3−i3−i3000i3−i3i3−i300i3−i30000000000000
χ2122222-12-22-222-1-1-12-1-2-2-2-1-1-1-2-22-1-111111111112222-1-11-2-2-2-1-1111111-1-1-1-100−i3−i3i3i3000i3−i3i3−i300−i3i30000000000000
χ2222222-12-22-222-1-1-12-1-2-2-2-1-1-1-2-22-1-111111111112222-1-11-2-2-2-1-1111111-1-1-1-100i3i3−i3−i3000−i3i3−i3i300i3−i30000000000000
χ2322222-1-22-2222-1-1-12-100-2-1-1-122-211-1-1−i3−i3i3i3-1-1-1-1-2000−i3i31-2001111−i3−i3i3i3−i3−i3i3i322-1-1-1-100-2−i3i3i3−i300110000000000000
χ2422222-1-22-2222-1-1-12-100-2-1-1-122-211-1-1−i3−i3i3i3-1-1-1-1-2000−i3i31-2001111−i3−i3i3i3−i3−i3i3i3-2-21111002i3−i3−i3i300-1-10000000000000
χ2522222-1-22-2222-1-1-12-100-2-1-1-122-211-1-1i3i3−i3−i3-1-1-1-1-2000i3−i31-2001111i3i3−i3−i3i3i3−i3−i322-1-1-1-100-2i3−i3−i3i300110000000000000
χ2622222-1-22-2222-1-1-12-100-2-1-1-122-211-1-1i3i3−i3−i3-1-1-1-1-2000i3−i31-2001111i3i3−i3−i3i3i3−i3−i3-2-21111002−i3i3i3−i300-1-10000000000000
χ2722222-1-2-2-2-222-1-1-12-1002-1-1-1-2-2-21111−i3−i3i3i31111-2000i3−i3-120011-1-1−i3−i3i3i3i3i3−i3−i300−i3−i3i3i32-20-1-11100i3−i30000000000000
χ2822222-1-2-2-2-222-1-1-12-1002-1-1-1-2-2-21111−i3−i3i3i31111-2000i3−i3-120011-1-1−i3−i3i3i3i3i3−i3−i300i3i3−i3−i3-22011-1-100−i3i30000000000000
χ2922222-1-2-2-2-222-1-1-12-1002-1-1-1-2-2-21111i3i3−i3−i31111-2000−i3i3-120011-1-1i3i3−i3−i3−i3−i3i3i300−i3−i3i3i3-22011-1-100i3−i30000000000000
χ3022222-1-2-2-2-222-1-1-12-1002-1-1-1-2-2-21111i3i3−i3−i31111-2000−i3i3-120011-1-1i3i3−i3−i3−i3−i3i3i300i3i3−i3−i32-20-1-11100−i3i30000000000000
χ312222-122222-1-1222-1-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000002200-1-1-1-100002-1-100
χ322222-122222-1-1222-1-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-20011110000-21100
χ332222-122222-1-1222-1-1-2-22-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-211-2-22-111-1-1-1-11111111100000000000002200-1-1-1-10000-21100
χ342222-122222-1-1222-1-1-2-22-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-211-2-22-111-1-1-1-1111111110000000000000-2-200111100002-1-100
χ352222-122-22-2-1-1222-1-122-2-1-1-111-122-2-222221111-1-211-2-2-21-1-1-1-111-1-1-1-1111100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-2-1-1222-1-122-2-1-1-111-122-2-222221111-1-211-2-2-21-1-1-1-111-1-1-1-1111100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-2-1-1222-1-1-2-2-2-1-1-111-122-2-2-2-2-2-21111-12-1-122-2111-1-1111111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-2-1-1222-1-1-2-2-2-1-1-111-122-2-2-2-2-2-21111-12-1-122-2111-1-1111111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ3922-2-222-2020-222-2-2-222i−2i0-22-200-22-2002i−2i2i−2i0000200000002i−2i2-2002i−2i2i−2i0000000000000000000000000−i2−i2i2i20002−2
χ4022-2-222-2020-222-2-2-222i−2i0-22-200-22-2002i−2i2i−2i0000200000002i−2i2-2002i−2i2i−2i0000000000000000000000000i2i2−i2−i2000−22
χ4122-2-222-2020-222-2-2-22−2i2i0-22-200-22-200−2i2i−2i2i000020000000−2i2i2-200−2i2i−2i2i0000000000000000000000000−i2−i2i2i2000−22
χ4222-2-222-2020-222-2-2-22−2i2i0-22-200-22-200−2i2i−2i2i000020000000−2i2i2-200−2i2i−2i2i0000000000000000000000000i2i2−i2−i20002−2
χ432-22-2220-2022-2-22-2-220002-2-22-20002-2000022-2-200000000000000000000002i−2i2i−2i2i−2i00000002−2002−22−2−i2i2−i2i200000
χ442-22-2220-2022-2-22-2-220002-2-22-20002-2000022-2-200000000000000000000002i−2i2i−2i2i−2i0000000−2200−22−22i2−i2i2−i200000
χ452-22-2220-2022-2-22-2-220002-2-22-20002-2000022-2-20000000000000000000000−2i2i−2i2i−2i2i00000002−2002−22−2i2−i2i2−i200000
χ462-22-2220-2022-2-22-2-220002-2-22-20002-2000022-2-20000000000000000000000−2i2i−2i2i−2i2i0000000−2200−22−22−i2i2−i2i200000
χ474444-24-44-44-2-2444-2-200-4-2-2-2-2-22-4-4440000-2-2-2-2200000-4200222200000000000000000000000000000000000000
χ484444-24-4-4-4-4-2-2444-2-2004-2-2-2222-4-4-4-4000022222000004-20022-2-200000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-2-222221111-2-42222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2144-411122-2-2-222-2-2-2-2-1-1-1-1-2-4222222-2-211-1-11111-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-24-2-2-2-2222211-1-1-1-1-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2100-4111-2-2222-2-2−2i3−2i32i32i311112000−2i32i32200-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2100-4111-2-2222-2-22i32i3−2i3−2i3111120002i3−2i32200-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-210041112222222−2i3−2i32i32i3-1-1-1-120002i3−2i3-2-200-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2100411122222222i32i3−2i3−2i3-1-1-1-12000−2i32i3-2-200-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5744-4-44440-40-444-4-4-44000-44-4004-440000000000-4000000000-440000000000000000000000000000000000000000
χ5844-4-44-240-40-44-222-4-20002-220042-20023−23−23230000-40000000002-20023−23−23230000000000000000000000000000000000
χ5944-4-44-240-40-44-222-4-20002-220042-200−232323−230000-40000000002-200−232323−230000000000000000000000000000000000
χ6044-4-44-2-4040-44-222-4-24i−4i02-2200-4-2200−2i2i−2i2i0000400000004i−4i-2200−2i2i−2i2i0000000000000000000000000000000000
χ6144-4-44-2-4040-44-222-4-2−4i4i02-2200-4-22002i−2i2i−2i000040000000−4i4i-22002i−2i2i−2i0000000000000000000000000000000000
χ6244-4-4-2440-402-24-4-42-20002-2200-2-44000000000020−2i32i30000002-2000000−2i32i3−2i32i3000000000000000000000000000000
χ6344-4-4-2440-402-24-4-42-20002-2200-2-440000000000202i3−2i30000002-20000002i3−2i32i3−2i3000000000000000000000000000000
χ6444-4-4-24-40402-24-4-42-24i−4i02-220024-4004i−4i4i−4i0000-20000000−2i2i-2200−2i2i−2i2i0000000000000000000000000000000000
χ6544-4-4-24-40402-24-4-42-2−4i4i02-220024-400−4i4i−4i4i0000-200000002i−2i-22002i−2i2i−2i0000000000000000000000000000000000
χ6644-4-4-2-240-402-2-22221000-11-100-22-20023−23−23233i−3i3i−3i20−2i32i3000000-113i−3i−333−3i3−i3i3−i3000000000000000000000000000000
χ6744-4-4-2-240-402-2-22221000-11-100-22-20023−23−2323−3i3i−3i3i202i3−2i3000000-11−3i3i−333−3−i3i3−i3i3000000000000000000000000000000
χ6844-4-4-2-240-402-2-22221000-11-100-22-200−232323−233i−3i3i−3i202i3−2i3000000-113i−3i3−3−33−i3i3−i3i3000000000000000000000000000000
χ6944-4-4-2-240-402-2-22221000-11-100-22-200−232323−23−3i3i−3i3i20−2i32i3000000-11−3i3i3−3−33i3−i3i3−i3000000000000000000000000000000
χ7044-4-4-2-2-40402-2-222214i−4i0-11-1002-2200−2i2i−2i2i3i−3i3i−3i-20000000−2i2i1-1−3i3ii−ii−i-333-3000000000000000000000000000000
χ7144-4-4-2-2-40402-2-222214i−4i0-11-1002-2200−2i2i−2i2i−3i3i−3i3i-20000000−2i2i1-13i−3ii−ii−i3-3-33000000000000000000000000000000
χ7244-4-4-2-2-40402-2-22221−4i4i0-11-1002-22002i−2i2i−2i3i−3i3i−3i-200000002i−2i1-1−3i3i−ii−ii3-3-33000000000000000000000000000000
χ7344-4-4-2-2-40402-2-22221−4i4i0-11-1002-22002i−2i2i−2i−3i3i−3i3i-200000002i−2i1-13i−3i−ii−ii-333-3000000000000000000000000000000
χ744-44-444040-44-4-44-4-440004-4-4-44000-440000-4-4440000000000000000000000000000000000000000000000000000
χ754-44-44-2040-44-42-22-4-2000-222-440002-2000022-2-200000000000000000000000023−23−2323000000000000000000000000
χ764-44-44-2040-44-42-22-4-2000-222-440002-2000022-2-2000000000000000000000000−232323−23000000000000000000000000
χ774-44-44-20-4044-42-22-4-2000-2224-4000-220000-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ784-44-44-20-4044-42-22-4-2000-2224-4000-220000-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ794-44-4-24040-4-22-44-42-2000-2222-2000-44000022-2-2000000000000000000000000000000000000000i6−i6−i6i6000000000
χ804-44-4-24040-4-22-44-42-2000-2222-2000-44000022-2-2000000000000000000000000000000000000000−i6i6i6−i6000000000
χ814-44-4-240-404-22-44-42-2000-222-220004-40000-2-2220000000000000000000000000000000000022−2200−22−22000000000
χ824-44-4-240-404-22-44-42-2000-222-220004-40000-2-22200000000000000000000000000000000000−2222002−22−2000000000
χ834-4-44440000-4-4-4-4444000-4-4400000000000000000000000000000000000000000000000000000000002-2-2200000
χ844-4-44440000-4-4-4-4444000-4-440000000000000000000000000000000000000000000000000000000000-222-200000
χ858-88-8-4-4080-8-444-44420002-2-24-40004-40000-2-2220000000000000000000000000000000000000000000000000000
χ868-88-8-4-40-808-444-44420002-2-2-44000-44000022-2-20000000000000000000000000000000000000000000000000000
χ878-8-888-40000-8-844-48-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48000044-8-88-4-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000

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