Finite Group Databasebeta

← Group #11889283

Character table — Group #11889283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666634444666121212121212121212121212121212124441212121212121212121212121212121212121212224881212121224446681212121224242424228861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-11-1-11-1-11-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-111111-1-1-1-1111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ611111111111111111-1-111111-1-1-1-1111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111111-1-1111-1-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-111111-1-1-1-11111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111111111111-1-1-1-11-1
χ811111111111111111-1-111111-1-1-1-11111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-11111111-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-11-111-1-111-1-111-1-11111-11-1-1
χ10111111111111111-1-111111-1-11111111-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-1-1-111-1-111-1-11-1111-1-1-1-111-1-1-1-11-111
χ11111111111111111-1-111111-1-11111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-111-11-1-1-11111-1-1-1-1-1-1-1111
χ12111111111111111-1-111111-1-11111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1111-11-1-111-1-111-1-11111111-1-1-1
χ13111111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1-11111-1-11-11-11-1-1-1-11111-1-1-1-1111-11-1
χ14111111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111-11-1-111-1-11111-1-1-11-11
χ15111111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-11111-11111-1-11111-1-1-11-111-1-111-1-111-1-11-1-11
χ16111111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-111-11-11-11111-1-1-1-111-1-111-111-1
χ17222222-2-222222222-200222220000-2-2-2222222-2220-2-2000000-2-2-2-200000000-2-220022220000-2-200000000000000000
χ18222222-2-222222222-200222220000-2-2-2222222-2-2-20-2-2000000-2-2-2-20000000022-200-2-2-2-200002200000000000000000
χ19222222-2-22222222-2200222-2-20000-2-2-2-2-2-2-2-2-2-222022000000-2-22200000000-22-20022-2-20000-2200000000000000000
χ20222222-2-22222222-2200222-2-20000-2-2-2-2-2-2-2-2-2-2-2-2022000000-2-222000000002-2200-2-22200002-200000000000000000
χ2122222-12222-12-1-1-12222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-122222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-10220-1-10-1-1-1-1000000000000
χ2222222-12222-12-1-1-12222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011110-2-201101111000000000000
χ2322222-12222-12-1-1-122-2-2-1-1-12211112-1-1-1-1-1-1-1-1222-22-1-2-2-2-211-1-1-1-11111111122200-1-1-1-10-2-20-1-101111000000000000
χ2422222-12222-12-1-1-122-2-2-1-1-12211112-1-1-1-1-1-1-1-12-2-2-22-1-2-2-2-211-1-1-1-111111111-2-2-20011110220110-1-1-1-1000000000000
χ2522222-12222-12-1-1-1-2-222-1-1-1-2-2-1-1-1-12-1-1111111222-2-2122-2-211-1-111-1-1-1-111112-2-200-1-11102-20-110-1-111000000000000
χ2622222-12222-12-1-1-1-2-222-1-1-1-2-2-1-1-1-12-1-11111112-2-2-2-2122-2-211-1-111-1-1-1-11111-2220011-1-10-2201-1011-1-1000000000000
χ2722222-12222-12-1-1-1-2-2-2-2-1-1-1-2-211112-1-11111112222-21-2-222-1-1-1-1111111-1-1-1-12-2-200-1-1110-220-11011-1-1000000000000
χ2822222-12222-12-1-1-1-2-2-2-2-1-1-1-2-211112-1-11111112-2-22-21-2-222-1-1-1-1111111-1-1-1-1-2220011-1-102-201-10-1-111000000000000
χ2922222-1-2-222-12-1-1-12-200-1-1-122−i3−i3i3i3-211-1-1-1-1-1-1-2220-210000−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2200-1-1-1-10000110−i3i3−i3i3000000000000
χ3022222-1-2-222-12-1-1-12-200-1-1-122−i3−i3i3i3-211-1-1-1-1-1-1-2-2-20-210000−i3i31111−i3−i3i3i3−i3−i3i3i322-20011110000-1-10i3−i3i3−i3000000000000
χ3122222-1-2-222-12-1-1-12-200-1-1-122i3i3−i3−i3-211-1-1-1-1-1-1-2220-210000i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2200-1-1-1-10000110i3−i3i3−i3000000000000
χ3222222-1-2-222-12-1-1-12-200-1-1-122i3i3−i3−i3-211-1-1-1-1-1-1-2-2-20-210000i3−i31111i3i3−i3−i3i3i3−i3−i322-20011110000-1-10−i3i3−i3i3000000000000
χ3322222-1-2-222-12-1-1-1-2200-1-1-1-2-2−i3−i3i3i3-211111111-22202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22-200-1-11100001-10−i3i3i3−i3000000000000
χ3422222-1-2-222-12-1-1-1-2200-1-1-1-2-2−i3−i3i3i3-211111111-2-2-202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-220011-1-10000-110i3−i3−i3i3000000000000
χ3522222-1-2-222-12-1-1-1-2200-1-1-1-2-2i3i3−i3−i3-211111111-22202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22-200-1-11100001-10i3−i3−i3i3000000000000
χ3622222-1-2-222-12-1-1-1-2200-1-1-1-2-2i3i3−i3−i3-211111111-2-2-202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-220011-1-10000-110−i3i3i3−i3000000000000
χ372222-1222-1-12-122-12222-1-1-1-1-12222-12222-1-1-1-1-1002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100022000020020020000-1-1-1-10000-1-100
χ382222-1222-1-12-122-12222-1-1-1-1-12222-12222-1-1-1-1-1002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000-200-200-20000111100001100
χ392222-1222-1-12-122-122-2-2-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-100-2-121111-2-2-1-1-1-111111111000220000-200-20020000-1-1-1-100001100
χ402222-1222-1-12-122-122-2-2-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-100-2-121111-2-2-1-1-1-111111111000-2-20000200200-2000011110000-1-100
χ412222-1222-1-12-122-1-2-222-1-1-1112222-122-2-21111-100-21-2-1-111-2-2-1-111-1-1-1-11111000220000-200200-20000-1-11100001-100
χ422222-1222-1-12-122-1-2-222-1-1-1112222-122-2-21111-100-21-2-1-111-2-2-1-111-1-1-1-11111000-2-20000200-2002000011-1-10000-1100
χ432222-1222-1-12-122-1-2-2-2-2-1-1-111-2-2-2-2-122-2-21111-10021-211-1-122-1-1111111-1-1-1-1000220000200-200-20000-1-1110000-1100
χ442222-1222-1-12-122-1-2-2-2-2-1-1-111-2-2-2-2-122-2-21111-10021-211-1-122-1-1111111-1-1-1-1000-2-20000-2002002000011-1-100001-100
χ452-22-2222-2-2-2-222-22002i−2i-22-2002i−2i2i−2i22-2000000-2000002i−2i00002-2002i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ462-22-2222-2-2-2-222-22002i−2i-22-2002i−2i2i−2i22-2000000-2000002i−2i00002-2002i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ472-22-2222-2-2-2-222-2200−2i2i-22-200−2i2i−2i2i22-2000000-200000−2i2i00002-200−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ482-22-2222-2-2-2-222-2200−2i2i-22-200−2i2i−2i2i22-2000000-200000−2i2i00002-200−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ494444-24-4-4-2-24-244-24-400-2-2-2-2-200002-4-444-2-2-2-220002-400000022220000000000000000000000000000000000000000
χ504444-24-4-4-2-24-244-2-4400-2-2-22200002-4-4-4-422222000-2400000022-2-20000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-21111-2004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-22222-2-2-2-2-21111-200-4-2-22222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-44411122-2-2-2-2-2-2-222-1-1-1-1-200-422-2-2222211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-4111222222-2-2-222-1-1-1-1-20042222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-400111-2-2−2i3−2i32i32i3222-2-211112000220000−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-400111-2-22i32i3−2i3−2i3222-2-2111120002200002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-440011122−2i3−2i32i32i322222-1-1-1-12000-2-200002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4400111222i32i3−2i3−2i322222-1-1-1-12000-2-20000−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-444004-4-4-4-44400004-4-400000000000000004i−4i000000000000000000000000004i−4i0000000000000000000000000
χ6044-4-444004-4-4-4-44400004-4-40000000000000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000
χ6144-4-44-2004-42-42-2-20000-222000000000−2i32i3−2i3−2i32i32i304i−4i00000000000000000000000000−2i2i23−2300000000000000000000000
χ6244-4-44-2004-42-42-2-20000-222000000000−2i32i3−2i3−2i32i32i30−4i4i000000000000000000000000002i−2i−232300000000000000000000000
χ6344-4-44-2004-42-42-2-20000-2220000000002i3−2i32i32i3−2i3−2i304i−4i00000000000000000000000000−2i2i−232300000000000000000000000
χ6444-4-44-2004-42-42-2-20000-2220000000002i3−2i32i32i3−2i3−2i30−4i4i000000000000000000000000002i−2i23−2300000000000000000000000
χ654-44-444-44-4-4-444-440000-44-4000000-4-44000000400000000000-44000000000000000000000000000000000000000000
χ664-44-44-24-4-4-424-22-2004i−4i2-2200−2i2i−2i2i4-22000000-4000004i−4i0000-2200−2i2i−2i2i000000000000000000000000000000000000
χ674-44-44-24-4-4-424-22-200−4i4i2-22002i−2i2i−2i4-22000000-400000−4i4i0000-22002i−2i2i−2i000000000000000000000000000000000000
χ684-44-44-2-44-4-424-22-200002-220023−23−2323-42-20000004000000000002-20023−23−2323000000000000000000000000000000000000
χ694-44-44-2-44-4-424-22-200002-2200−232323−23-42-20000004000000000002-200−232323−23000000000000000000000000000000000000
χ704-44-4-244-422-4-24-4-2004i−4i2-22004i−4i4i−4i-24-4000000200000−2i2i0000-2200−2i2i−2i2i000000000000000000000000000000000000
χ714-44-4-244-422-4-24-4-200−4i4i2-2200−4i4i−4i4i-24-40000002000002i−2i0000-22002i−2i2i−2i000000000000000000000000000000000000
χ724-44-4-24-4422-4-24-4-200002-220000002-44000000-20000000−2i32i3002-2000000−2i32i3−2i32i300000000000000000000000000000000
χ734-44-4-24-4422-4-24-4-200002-220000002-44000000-200000002i3−2i3002-20000002i3−2i32i3−2i300000000000000000000000000000000
χ744-44-4-2-24-4222-2-221004i−4i-11-100−2i2i−2i2i-2-22003i−3i3i−3i200000−2i2i00001-13i−3ii−ii−i3-3-3300000000000000000000000000000000
χ754-44-4-2-24-4222-2-221004i−4i-11-100−2i2i−2i2i-2-2200−3i3i−3i3i200000−2i2i00001-1−3i3ii−ii−i-333-300000000000000000000000000000000
χ764-44-4-2-24-4222-2-22100−4i4i-11-1002i−2i2i−2i-2-22003i−3i3i−3i2000002i−2i00001-13i−3i−ii−ii-333-300000000000000000000000000000000
χ774-44-4-2-24-4222-2-22100−4i4i-11-1002i−2i2i−2i-2-2200−3i3i−3i3i2000002i−2i00001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000
χ784-44-4-2-2-44222-2-2210000-11-10023−23−232322-2003i−3i3i−3i-200000002i3−2i300-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000
χ794-44-4-2-2-44222-2-2210000-11-10023−23−232322-200−3i3i−3i3i-20000000−2i32i300-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000
χ804-44-4-2-2-44222-2-2210000-11-100−232323−2322-2003i−3i3i−3i-20000000−2i32i300-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000
χ814-44-4-2-2-44222-2-2210000-11-100−232323−2322-200−3i3i−3i3i-200000002i3−2i300-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000
χ824-4-444400-444-4-4-440000-4-44000000000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ834-4-444400-444-4-4-440000-4-440000000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ844-4-44-24002-242-4-4-2000022-223−2300000000023−23−2323000000000000000000000000000−2i22i2000000000000000i2−i2i6−i600000000
χ854-4-44-24002-242-4-4-2000022-223−2300000000023−23−23230000000000000000000000000002i2−2i2000000000000000−i2i2−i6i600000000
χ864-4-44-24002-242-4-4-2000022-2−2323000000000−232323−23000000000000000000000000000−2i22i2000000000000000i2−i2−i6i600000000
χ874-4-44-24002-242-4-4-2000022-2−2323000000000−232323−230000000000000000000000000002i2−2i2000000000000000−i2i2i6−i600000000
χ8888-8-8-4800-44-84-88-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44444-4200002-2-2000000000−4i34i32i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44444-4200002-2-20000000004i3−4i3−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-88-4-844-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-4-444420000-2-2243−43000000000−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4004-4-444420000-2-22−434300000000023−23−232300000000000000000000000000000000000000000000000000000000

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