Finite Group Databasebeta

← Group #11819172

Character table — Group #11819172

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order1222222233666666666666663446666666441212121212121212121212121212121212121212121212124444444444444444222244441212121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ81111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1111111-1-1-1-111-1-1
χ91111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11-1
χ101111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11
χ111111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-11
χ121111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111111-1
χ131111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-11
χ141111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11-1
χ151111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ161111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ17222222222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002200002200000000-1-1-1-1-1-1-1-10000000000
χ18222222222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-20000-2-200000000111111110000000000
χ19222222222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-2-222-1-1-2-21111-2-2-1-1-1-1111111112200-2-200-2-200002200000000-1-1-1-111110000000000
χ20222222222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-2-222-1-1-2-21111-2-2-1-1-1-111111111-2-2002200220000-2-2000000001111-1-1-1-10000000000
χ21222222222-12222-1-1-12-1-1-1-122-1-2-2-1-1-1-1-1-1-12-2-2-21122-1-111-2-21111-1-1-1-111112200-2-200220000-2-200000000-1-111-1-1110000000000
χ22222222222-12222-1-1-12-1-1-1-122-1-2-2-1-1-1-1-1-1-12-2-2-21122-1-111-2-21111-1-1-1-11111-2-2002200-2-20000220000000011-1-111-1-10000000000
χ23222222222-12222-1-1-12-1-1-1-122-1-2-2-1-1-1-1-1-1-1-22-2-211-2-211-1-12211111111-1-1-1-122002200-2-20000-2-200000000-1-11111-1-10000000000
χ24222222222-12222-1-1-12-1-1-1-122-1-2-2-1-1-1-1-1-1-1-22-2-211-2-211-1-12211111111-1-1-1-1-2-200-2-200220000220000000011-1-1-1-1110000000000
χ2522222222-12-1-1-1-1222-12222-1-1-122-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022002222000000000000000000-1-1-1-1-1-1-1-100
χ2622222222-12-1-1-1-1222-12222-1-1-122-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-2-2-20000000000000000001111111100
χ2722222222-12-1-1-1-1222-12222-1-1-122-1-1-1-1-1-1-1-2-2-1-12211-2-2-2-211-1-1-1-111111111002200-2-20022-2-200000000000000000011-1-1-1-11100
χ2822222222-12-1-1-1-1222-12222-1-1-122-1-1-1-1-1-1-1-2-2-1-12211-2-2-2-211-1-1-1-11111111100-2-2002200-2-222000000000000000000-1-11111-1-100
χ2922222222-12-1-1-1-1222-12222-1-1-1-2-2-1-1-1-1-1-1-12-211-2-2-1-122-2-2111111-1-1-1-111110022002200-2-2-2-2000000000000000000-1-1-1-1111100
χ3022222222-12-1-1-1-1222-12222-1-1-1-2-2-1-1-1-1-1-1-12-211-2-2-1-122-2-2111111-1-1-1-1111100-2-200-2-20022220000000000000000001111-1-1-1-100
χ3122222222-12-1-1-1-1222-12222-1-1-1-2-2-1-1-1-1-1-1-1-2211-2-211-2-222-1-111111111-1-1-1-1002200-2-200-2-22200000000000000000011-1-111-1-100
χ3222222222-12-1-1-1-1222-12222-1-1-1-2-2-1-1-1-1-1-1-1-2211-2-211-2-222-1-111111111-1-1-1-100-2-200220022-2-2000000000000000000-1-111-1-11100
χ3322-22-22-2-222-2-22-222-2-22-2-2-2222002-2-2-222-20000000000000000000000000000002i−2i0000002-20000002i2i−2i−2i0000002i−2i0000002-200
χ3422-22-22-2-222-2-22-222-2-22-2-2-2222002-2-2-222-20000000000000000000000000000002i−2i000000-22000000−2i−2i2i2i0000002i−2i000000-2200
χ3522-22-22-2-222-2-22-222-2-22-2-2-2222002-2-2-222-2000000000000000000000000000000−2i2i0000002-2000000−2i−2i2i2i000000−2i2i0000002-200
χ3622-22-22-2-222-2-22-222-2-22-2-2-2222002-2-2-222-2000000000000000000000000000000−2i2i000000-220000002i2i−2i−2i000000−2i2i000000-2200
χ3722-2-22-2-2222-2-2222-222-22-2-2-2-2200-22-2-22-22000000000000000000000000002i−2i000000002i−2i000022-2-200002i−2i00000000002i−2i0000
χ3822-2-22-2-2222-2-2222-222-22-2-2-2-2200-22-2-22-22000000000000000000000000002i−2i00000000−2i2i0000-2-22200002i−2i0000000000−2i2i0000
χ3922-2-22-2-2222-2-2222-222-22-2-2-2-2200-22-2-22-2200000000000000000000000000−2i2i000000002i−2i0000-2-2220000−2i2i00000000002i−2i0000
χ4022-2-22-2-2222-2-2222-222-22-2-2-2-2200-22-2-22-2200000000000000000000000000−2i2i00000000−2i2i000022-2-20000−2i2i0000000000−2i2i0000
χ412-222-2-2-22222-2-22-222-2-2-22-22-2200-2-22-2-222000000000000000000000000000000002i−2i2i−2i00000000002-22-200002i−2i002i−2i00000000
χ422-222-2-2-22222-2-22-222-2-2-22-22-2200-2-22-2-222000000000000000000000000000000002i−2i−2i2i0000000000-22-220000−2i2i002i−2i00000000
χ432-222-2-2-22222-2-22-222-2-2-22-22-2200-2-22-2-22200000000000000000000000000000000−2i2i2i−2i0000000000-22-2200002i−2i00−2i2i00000000
χ442-222-2-2-22222-2-22-222-2-2-22-22-2200-2-22-2-22200000000000000000000000000000000−2i2i−2i2i00000000002-22-20000−2i2i00−2i2i00000000
χ452-22-222-2-2222-2-2-2-2-2-22222-2-22200222-2-2-2-200000000000000000000000000002i−2i00000000002i−2i2-22-20000002i−2i0000002i−2i000000
χ462-22-222-2-2222-2-2-2-2-2-22222-2-22200222-2-2-2-200000000000000000000000000002i−2i0000000000−2i2i-22-22000000−2i2i0000002i−2i000000
χ472-22-222-2-2222-2-2-2-2-2-22222-2-22200222-2-2-2-20000000000000000000000000000−2i2i00000000002i−2i-22-220000002i−2i000000−2i2i000000
χ482-22-222-2-2222-2-2-2-2-2-22222-2-22200222-2-2-2-20000000000000000000000000000−2i2i0000000000−2i2i2-22-2000000−2i2i000000−2i2i000000
χ492-2-222-22-222-22-2-2-22-22-22-222-222i−2i-22-22-22-2002i−2i2i−2i000000002i2i−2i−2i0000000000000000000000002-2-222i−2i−2i2i000000000000000000
χ502-2-222-22-222-22-2-2-22-22-22-222-222i−2i-22-22-22-2002i−2i2i−2i000000002i2i−2i−2i000000000000000000000000-222-2−2i2i2i−2i000000000000000000
χ512-2-222-22-222-22-2-2-22-22-22-222-22−2i2i-22-22-22-200−2i2i−2i2i00000000−2i−2i2i2i0000000000000000000000002-2-22−2i2i2i−2i000000000000000000
χ522-2-222-22-222-22-2-2-22-22-22-222-22−2i2i-22-22-22-200−2i2i−2i2i00000000−2i−2i2i2i000000000000000000000000-222-22i−2i−2i2i000000000000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111111144-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-4-2-2-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-42222-2-2-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-4422222222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ57444-4-4-44-444444-44-4-4-4-4-444-4-4400-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ58444-4-4-44-44-2444-4-222-422-2-2-4-4-20022-2-2-222000000000023−2300000000002323−23−23000000000000000000000000000000000000000000
χ59444-4-4-44-44-2444-4-222-422-2-2-4-4-20022-2-2-2220000000000−23230000000000−23−232323000000000000000000000000000000000000000000
χ60444-4-4-44-4-24-2-2-224-4-42-4-44422-20022-2-2-222000000−2i32i30000000000−2i3−2i32i32i30000000000000000000000000000000000000000000000
χ61444-4-4-44-4-24-2-2-224-4-42-4-44422-20022-2-2-2220000002i3−2i300000000002i32i3−2i3−2i30000000000000000000000000000000000000000000000
χ62444-4-4-44-4-2-2-2-2-22-222222-2-222100-1-1111-1-1000000−2i32i30023−23003i−3i3i−3ii3i3−i3−i3−3−333000000000000000000000000000000000000000000
χ63444-4-4-44-4-2-2-2-2-22-222222-2-222100-1-1111-1-1000000−2i32i300−232300−3i3i−3i3ii3i3−i3−i333−3−3000000000000000000000000000000000000000000
χ64444-4-4-44-4-2-2-2-2-22-222222-2-222100-1-1111-1-10000002i3−2i30023−2300−3i3i−3i3i−i3−i3i3i3−3−333000000000000000000000000000000000000000000
χ65444-4-4-44-4-2-2-2-2-22-222222-2-222100-1-1111-1-10000002i3−2i300−2323003i−3i3i−3i−i3−i3i3i333−3−3000000000000000000000000000000000000000000
χ6644-44-44-4-44-2-4-44-4-2-22-4-222244-200-2222-2-220000000000000000000000000000004i−4i000000000000000000000000−2i2i0000000000
χ6744-44-44-4-44-2-4-44-4-2-22-4-222244-200-2222-2-22000000000000000000000000000000−4i4i0000000000000000000000002i−2i0000000000
χ6844-44-44-4-4-2422-2244-424-4-4-4-2-2-200-2222-2-22000000000000000000000000000000000000004-4000000000000000000000000-2200
χ6944-44-44-4-4-2422-2244-424-4-4-4-2-2-200-2222-2-2200000000000000000000000000000000000000-440000000000000000000000002-200
χ7044-4-44-4-444-2-4-444-22-242-222-4-4-2002-222-22-2000000000000000000000000004i−4i0000000000000000000000−2i2i0000000000000000
χ7144-4-44-4-444-2-4-444-22-242-222-4-4-2002-222-22-200000000000000000000000000−4i4i00000000000000000000002i−2i0000000000000000
χ7244-4-44-4-44-2422-2-24-44-2-44-4-422-2002-222-22-20000000000000000000000000000000000004i−4i000000000000000000000000−2i2i0000
χ7344-4-44-4-44-2422-2-24-44-2-44-4-422-2002-222-22-2000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i0000
χ744-444-4-4-444-24-4-442-2-2-422-224-4-20022-222-2-200000000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ754-444-4-4-444-24-4-442-2-2-422-224-4-20022-222-2-20000000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ764-444-4-4-44-24-222-2-4442-4-44-4-22-20022-222-2-2000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000
χ774-444-4-4-44-24-222-2-4442-4-44-4-22-20022-222-2-200000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000
χ784-44-444-4-44-24-4-4-42224-2-2-22-44-200-2-2-2222200000000000000000000000000000000000000004i−4i0000000000−2i2i00000000000000
χ794-44-444-4-44-24-4-4-42224-2-2-22-44-200-2-2-222220000000000000000000000000000000000000000−4i4i00000000002i−2i00000000000000
χ804-44-444-4-4-24-2222-4-4-4-2444-42-2-200-2-2-2222200000000000000000000000000004i−4i000000000000000000000000000000−2i2i000000
χ814-44-444-4-4-24-2222-4-4-4-2444-42-2-200-2-2-222220000000000000000000000000000−4i4i0000000000000000000000000000002i−2i000000
χ824-4-444-44-44-2-44-4-42-2242-22-24-4-24i−4i2-22-22-22004i−4i−2i2i00000000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ834-4-444-44-44-2-44-4-42-2242-22-24-4-2−4i4i2-22-22-2200−4i4i2i−2i000000002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ844-4-444-44-4-242-222-44-4-2-44-44-22-24i−4i2-22-22-2200−2i2i4i−4i00000000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ854-4-444-44-4-242-222-44-4-2-44-44-22-2−4i4i2-22-22-22002i−2i−4i4i000000002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ864-4-444-44-4-2-22-2222-22-22-22-2-2214i−4i-11-11-11-100−2i2i−2i2i00000000ii−i−i3i−3i3i−3i3-33-3000000000000000000000000000000000000000000
χ874-4-444-44-4-2-22-2222-22-22-22-2-2214i−4i-11-11-11-100−2i2i−2i2i00000000ii−i−i−3i3i−3i3i-33-33000000000000000000000000000000000000000000
χ884-4-444-44-4-2-22-2222-22-22-22-2-221−4i4i-11-11-11-1002i−2i2i−2i00000000−i−iii3i−3i3i−3i-33-33000000000000000000000000000000000000000000
χ894-4-444-44-4-2-22-2222-22-22-22-2-221−4i4i-11-11-11-1002i−2i2i−2i00000000−i−iii−3i3i−3i3i3-33-3000000000000000000000000000000000000000000
χ904-4-4-4-444444-44-44-4-44-44-4-44-444004-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ914-4-4-4-44444-2-44-4422-2-4-222-2-44-200-222-222-20000000023−230000000023−23−23230000000000000000000000000000000000000000000000
χ924-4-4-4-44444-2-44-4422-2-4-222-2-44-200-222-222-200000000−232300000000−232323−230000000000000000000000000000000000000000000000
χ934-4-4-4-4444-242-22-2-4-4424-4-442-2-200-222-222-200000000000023−230000000023−23−2323000000000000000000000000000000000000000000
χ944-4-4-4-4444-242-22-2-4-4424-4-442-2-200-222-222-2000000000000−232300000000−232323−23000000000000000000000000000000000000000000
χ954-4-4-4-4444-2-22-22-222-22-222-22-21001-1-11-1-110000000023−230023−23-333-3−333−3−333−3000000000000000000000000000000000000000000
χ964-4-4-4-4444-2-22-22-222-22-222-22-21001-1-11-1-110000000023−2300−23233-3-33−333−33−3−33000000000000000000000000000000000000000000
χ974-4-4-4-4444-2-22-22-222-22-222-22-21001-1-11-1-1100000000−23230023−233-3-333−3−33−333−3000000000000000000000000000000000000000000
χ984-4-4-4-4444-2-22-22-222-22-222-22-21001-1-11-1-1100000000−232300−2323-333-33−3−333−3−33000000000000000000000000000000000000000000
χ9988-88-88-8-8-4-444-44-4-444-4444-4-42002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-8-88-4-444-4-4-44-4-44-44444200-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1018-888-8-8-88-4-4-444-44-4-4444-44-44200-2-22-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-888-8-8-4-4-4444444-4-4-4-444-4200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000

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