Finite Group Databasebeta

← Group #11819166

Character table — Group #11819166

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order1222222233666666666666663446666666441212121212121212121212121212121212121212121212124444444444444444222244441212121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
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
χ51111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111
χ61111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1
χ71111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ91111111111111111111111111-1-111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-11
χ101111111111111111111111111-1-111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ111111111111111111111111111-1-111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1
χ121111111111111111111111111-1-111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-11
χ131111111111111111111111111-1-11111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11
χ141111111111111111111111111-1-11111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-1
χ151111111111111111111111111-1-11111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-11-1
χ161111111111111111111111111-1-11111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-11
χ17222222222-122-1-122-122-1-1-1-12-122-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222002200000000000000-1-1-1-1-1-10000-1-1000000
χ18222222222-122-1-122-122-1-1-1-12-122-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-200000000000000111111000011000000
χ19222222222-122-1-122-122-1-1-1-12-122-1-1-1-1-1-1-1-2-2-2-222-1-1-2-211111111-1-1-1-111112222-2-200-2-200000000000000-1-111110000-1-1000000
χ20222222222-122-1-122-122-1-1-1-12-122-1-1-1-1-1-1-1-2-2-2-222-1-1-2-211111111-1-1-1-11111-2-2-2-22200220000000000000011-1-1-1-1000011000000
χ21222222222-122-1-122-122-1-1-1-12-1-2-2-1-1-1-1-1-1-12-222-2-211-2-211-1-1-1-1-1-11111111122-2-22200-2-200000000000000-1-1-1-111000011000000
χ22222222222-122-1-122-122-1-1-1-12-1-2-2-1-1-1-1-1-1-12-222-2-211-2-211-1-1-1-1-1-111111111-2-222-2-20022000000000000001111-1-10000-1-1000000
χ23222222222-122-1-122-122-1-1-1-12-1-2-2-1-1-1-1-1-1-1-22-2-2-2-21122-1-11111111111-1-1-1-122-2-2-2-2002200000000000000-1-111-1-1000011000000
χ24222222222-122-1-122-122-1-1-1-12-1-2-2-1-1-1-1-1-1-1-22-2-2-2-21122-1-11111111111-1-1-1-1-2-2222200-2-20000000000000011-1-1110000-1-1000000
χ2522222222-12-1-122-1-12-1-12222-1-122-1-1-1-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000220022222200000000000000-1-1-1-100-1-1-1-100
χ2622222222-12-1-122-1-12-1-12222-1-122-1-1-1-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-2-2-2-2-200000000000000111100111100
χ2722222222-12-1-122-1-12-1-12222-1-122-1-1-1-1-1-1-1-2-211-1-12211-2-2-2-21111-1-1-1-11111000000220022-2-2-2-200000000000000-1-11100-1-11100
χ2822222222-12-1-122-1-12-1-12222-1-122-1-1-1-1-1-1-1-2-211-1-12211-2-2-2-21111-1-1-1-11111000000-2-200-2-222220000000000000011-1-10011-1-100
χ2922222222-12-1-122-1-12-1-12222-1-1-2-2-1-1-1-1-1-1-12-2-1-111-2-211-2-222-1-1-1-1111111110000002200-2-222-2-200000000000000-1-1110011-1-100
χ3022222222-12-1-122-1-12-1-12222-1-1-2-2-1-1-1-1-1-1-12-2-1-111-2-211-2-222-1-1-1-111111111000000-2-20022-2-2220000000000000011-1-100-1-11100
χ3122222222-12-1-122-1-12-1-12222-1-1-2-2-1-1-1-1-1-1-1-221111-2-2-1-122-2-211111111-1-1-1-10000002200-2-2-2-22200000000000000-1-1-1-100111100
χ3222222222-12-1-122-1-12-1-12222-1-1-2-2-1-1-1-1-1-1-1-221111-2-2-1-122-2-211111111-1-1-1-1000000-2-2002222-2-200000000000000111100-1-1-1-100
χ3322-222-2-2-2222-2-2-2-2-2-22-2222-22200222-2-2-2-200000000000000000000000000002i−2i00000000002i−2i22-2-20000000000002i−2i2i−2i000000
χ3422-222-2-2-2222-2-2-2-2-2-22-2222-22200222-2-2-2-200000000000000000000000000002i−2i0000000000−2i2i-2-222000000000000−2i2i2i−2i000000
χ3522-222-2-2-2222-2-2-2-2-2-22-2222-22200222-2-2-2-20000000000000000000000000000−2i2i00000000002i−2i-2-2220000000000002i−2i−2i2i000000
χ3622-222-2-2-2222-2-2-2-2-2-22-2222-22200222-2-2-2-20000000000000000000000000000−2i2i0000000000−2i2i22-2-2000000000000−2i2i−2i2i000000
χ3722-2-2-2-222222-22-2-222-222-2-2-2-22002-2-22-2-220000000000000000000000000000002i−2i00002i−2i0000000022-2-2002i−2i000000002i−2i0000
χ3822-2-2-2-222222-22-2-222-222-2-2-2-22002-2-22-2-220000000000000000000000000000002i−2i0000−2i2i00000000-2-222002i−2i00000000−2i2i0000
χ3922-2-2-2-222222-22-2-222-222-2-2-2-22002-2-22-2-22000000000000000000000000000000−2i2i00002i−2i00000000-2-22200−2i2i000000002i−2i0000
χ4022-2-2-2-222222-22-2-222-222-2-2-2-22002-2-22-2-22000000000000000000000000000000−2i2i0000−2i2i0000000022-2-200−2i2i00000000−2i2i0000
χ412-222-2-2-2222-2-22-22-2-222-22-22-222i−2i-22-22-22-200002i−2i2i−2i00000000002i2i−2i−2i000000000000000000002-22-22i−2i2i−2i000000000000000000
χ422-222-2-2-2222-2-22-22-2-222-22-22-222i−2i-22-22-22-200002i−2i2i−2i00000000002i2i−2i−2i00000000000000000000-22-22−2i2i−2i2i000000000000000000
χ432-222-2-2-2222-2-22-22-2-222-22-22-22−2i2i-22-22-22-20000−2i2i−2i2i0000000000−2i−2i2i2i000000000000000000002-22-2−2i2i−2i2i000000000000000000
χ442-222-2-2-2222-2-22-22-2-222-22-22-22−2i2i-22-22-22-20000−2i2i−2i2i0000000000−2i−2i2i2i00000000000000000000-22-222i−2i2i−2i000000000000000000
χ452-2-22-222-222-22-22-2222-2-22-2-2-2200-22-2-22-22000000000000000000000000002i−2i00000000002i−2i002-2-2200002i−2i0000000000002i−2i00
χ462-2-22-222-222-22-22-2222-2-22-2-2-2200-22-2-22-22000000000000000000000000002i−2i0000000000−2i2i00-222-200002i−2i000000000000−2i2i00
χ472-2-22-222-222-22-22-2222-2-22-2-2-2200-22-2-22-2200000000000000000000000000−2i2i00000000002i−2i00-222-20000−2i2i0000000000002i−2i00
χ482-2-22-222-222-22-22-2222-2-22-2-2-2200-22-2-22-2200000000000000000000000000−2i2i0000000000−2i2i002-2-220000−2i2i000000000000−2i2i00
χ492-2-2-222-2222-2222-2-2-2-22-2-22-22200-2-2222-2-2000000000000000000000000000000002i−2i2-200000000002i−2i−2i2i00002-22i−2i0000000000
χ502-2-2-222-2222-2222-2-2-2-22-2-22-22200-2-2222-2-2000000000000000000000000000000002i−2i-220000000000−2i2i2i−2i0000-222i−2i0000000000
χ512-2-2-222-2222-2222-2-2-2-22-2-22-22200-2-2222-2-200000000000000000000000000000000−2i2i2-20000000000−2i2i2i−2i00002-2−2i2i0000000000
χ522-2-2-222-2222-2222-2-2-2-22-2-22-22200-2-2222-2-200000000000000000000000000000000−2i2i-2200000000002i−2i−2i2i0000-22−2i2i0000000000
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
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-422-2-2-2-2222222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-4-2-222222222-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-44222222-2-2-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ57444-4-44-4-44444-444-4-4-4-44-4-44-44004-4-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ58444-4-44-4-44-2442-24-42-4-4-222-2-4-200-2222-2-22000000000023−2300000000002323−23−23000000000000000000000000000000000000000000
χ59444-4-44-4-44-2442-24-42-4-4-222-2-4-200-2222-2-220000000000−23230000000000−23−232323000000000000000000000000000000000000000000
χ60444-4-44-4-4-24-2-2-44-22-4224-4-442-200-2222-2-2200−2i32i30000000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000
χ61444-4-44-4-4-24-2-2-44-22-4224-4-442-200-2222-2-22002i3−2i300000000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-2-2-2-22-2-22222-222-221001-1-1-111-100−2i32i300000023−2300i3i3−i3−i33i−3i3i−3i−3−333000000000000000000000000000000000000000000
χ63444-4-44-4-4-2-2-2-22-2-22222-222-221001-1-1-111-100−2i32i3000000−232300i3i3−i3−i3−3i3i−3i3i33−3−3000000000000000000000000000000000000000000
χ64444-4-44-4-4-2-2-2-22-2-22222-222-221001-1-1-111-1002i3−2i300000023−2300−i3−i3i3i3−3i3i−3i3i−3−333000000000000000000000000000000000000000000
χ65444-4-44-4-4-2-2-2-22-2-22222-222-221001-1-1-111-1002i3−2i3000000−232300−i3−i3i3i33i−3i3i−3i33−3−3000000000000000000000000000000000000000000
χ6644-444-4-4-44-24-422-4-424-4-2-2-224-200-2-2-2222200000000000000000000000000004i−4i000000000000000000000000000000−2i2i000000
χ6744-444-4-4-44-24-422-4-424-4-2-2-224-200-2-2-222220000000000000000000000000000−4i4i0000000000000000000000000000002i−2i000000
χ6844-444-4-4-4-24-22-4-422-4-22444-4-2-200-2-2-2222200000000000000000000000000000000000000004i−4i0000000000000000−2i2i00000000
χ6944-444-4-4-4-24-22-4-422-4-22444-4-2-200-2-2-222220000000000000000000000000000000000000000−4i4i00000000000000002i−2i00000000
χ7044-4-4-4-4444-24-4-22-44-2-44-2222-4-200-222-222-20000000000000000000000000000004i−4i00000000000000000000−2i2i00000000000000
χ7144-4-4-4-4444-24-4-22-44-2-44-2222-4-200-222-222-2000000000000000000000000000000−4i4i000000000000000000002i−2i00000000000000
χ7244-4-4-4-444-24-224-42-242-24-4-4-42-200-222-222-20000000000000000000000000000000000004i−4i000000000000000000000000−2i2i0000
χ7344-4-4-4-444-24-224-42-242-24-4-4-42-200-222-222-2000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i0000
χ744-444-4-4-444-2-4-4-224-42442-22-2-4-24i−4i2-22-22-2200004i−4i−2i2i0000000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ754-444-4-4-444-2-4-4-224-42442-22-2-4-2−4i4i2-22-22-220000−4i4i2i−2i00000000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ764-444-4-4-44-24224-4-22-4-2-2-44-442-24i−4i2-22-22-220000−2i2i4i−4i0000000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ774-444-4-4-44-24224-4-22-4-2-2-44-442-2−4i4i2-22-22-2200002i−2i−4i4i00000000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ784-444-4-4-44-2-222-22-222-2-22-22-2214i−4i-11-11-11-10000−2i2i−2i2i0000003-33-3ii−i−i3i−3i3i−3i000000000000000000000000000000000000000000
χ794-444-4-4-44-2-222-22-222-2-22-22-2214i−4i-11-11-11-10000−2i2i−2i2i000000-33-33ii−i−i−3i3i−3i3i000000000000000000000000000000000000000000
χ804-444-4-4-44-2-222-22-222-2-22-22-221−4i4i-11-11-11-100002i−2i2i−2i0000003-33-3−i−iii−3i3i−3i3i000000000000000000000000000000000000000000
χ814-444-4-4-44-2-222-22-222-2-22-22-221−4i4i-11-11-11-100002i−2i2i−2i000000-33-33−i−iii3i−3i3i−3i000000000000000000000000000000000000000000
χ824-44-44-44-444-4-4-4-4444-4-4-4-4444400-4-44-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ834-44-44-44-44-2-4-42244-2-4-422-2-24-20022-222-2-2000000000000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ844-44-44-44-44-2-4-42244-2-4-422-2-24-20022-222-2-20000000000002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ854-44-44-44-4-2422-4-4-2-2422-4-444-2-20022-222-2-200000000−2i32i3000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ864-44-44-44-4-2422-4-4-2-2422-4-444-2-20022-222-2-2000000002i3−2i30000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ874-44-44-44-4-2-22222-2-2-22222-2-2-2100-1-11-1-11100000000−2i32i300−2i32i3i3−i3−i3i33-3-33i3−i3−i3i3000000000000000000000000000000000000000000
χ884-44-44-44-4-2-22222-2-2-22222-2-2-2100-1-11-1-11100000000−2i32i3002i3−2i3−i3i3i3−i3-333-3i3−i3−i3i3000000000000000000000000000000000000000000
χ894-44-44-44-4-2-22222-2-2-22222-2-2-2100-1-11-1-111000000002i3−2i300−2i32i3i3−i3−i3i3-333-3−i3i3i3−i3000000000000000000000000000000000000000000
χ904-44-44-44-4-2-22222-2-2-22222-2-2-2100-1-11-1-111000000002i3−2i3002i3−2i3−i3i3i3−i33-3-33−i3i3i3−i3000000000000000000000000000000000000000000
χ914-4-44-444-44-2-442-2-44-24-42-222-4-2002-222-22-2000000000000000000000000004i−4i0000000000000000000000−2i2i0000000000000000
χ924-4-44-444-44-2-442-2-44-24-42-222-4-2002-222-22-200000000000000000000000000−4i4i00000000000000000000002i−2i0000000000000000
χ934-4-44-444-4-242-2-442-24-22-44-4-42-2002-222-22-2000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00
χ944-4-44-444-4-242-2-442-24-22-44-4-42-2002-222-22-200000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00
χ954-4-4-444-444-2-44-2-2-4-42-4422-224-20022-2-2-22200000000000000000000000000000000004-4000000000000000000-22000000000000
χ964-4-4-444-444-2-44-2-2-4-42-4422-224-20022-2-2-2220000000000000000000000000000000000-440000000000000000002-2000000000000
χ974-4-4-444-44-242-24422-42-2-4-44-4-2-20022-2-2-222000000000000000000000000000000004i−4i0000000000000000000000−2i2i0000000000
χ984-4-4-444-44-242-24422-42-2-4-44-4-2-20022-2-2-22200000000000000000000000000000000−4i4i00000000000000000000002i−2i0000000000
χ9988-888-8-8-8-4-4-4444444-44-4-4-44-4200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-8-888-4-4-44-444-4-44-4-444442002-2-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-888-8-4-44-44-44-4-4-444-4444200-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-888-88-4-44-4-4-44444-444-44-4200-2-2222-2-200000000000000000000000000000000000000000000000000000000000000000000

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