Finite Group Databasebeta

← Group #11817752

Character table — Group #11817752

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order122222223366666666666666344666666624666666661212121212121212121212121212121222444444444444444444444466121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-1-1-111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-11111-1-11111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ91111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-11
χ101111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11-1
χ111111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1
χ121111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-11
χ131111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11
χ141111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111-1
χ151111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11-1
χ161111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-11
χ17222222222-1222-1-1-12-122-1-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1220022222200000000000000-1-1-1-1-1-10000-1-1000000
χ18222222222-1222-1-1-12-122-1-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-2-2-2-2-200000000000000111111000011000000
χ19222222222-1222-1-1-12-122-1-1-12-122-1-1-1-1-1-1-1-2-2-2-2111111-1-1-2-21122-1-1-1-111112200-2-222-2-200000000000000-1-1-1-111000011000000
χ20222222222-1222-1-1-12-122-1-1-12-122-1-1-1-1-1-1-1-2-2-2-2111111-1-1-2-21122-1-1-1-11111-2-20022-2-222000000000000001111-1-10000-1-1000000
χ21222222222-1222-1-1-12-122-1-1-12-1-2-2-1-1-1-1-1-1-12-222-1-1-1-1-1-111-2-211-2-211111111220022-2-2-2-200000000000000-1-111110000-1-1000000
χ22222222222-1222-1-1-12-122-1-1-12-1-2-2-1-1-1-1-1-1-12-222-1-1-1-1-1-111-2-211-2-211111111-2-200-2-222220000000000000011-1-1-1-1000011000000
χ23222222222-1222-1-1-12-122-1-1-12-1-2-2-1-1-1-1-1-1-1-22-2-21111111122-1-1-2-21111-1-1-1-12200-2-2-2-22200000000000000-1-111-1-1000011000000
χ24222222222-1222-1-1-12-122-1-1-12-1-2-2-1-1-1-1-1-1-1-22-2-21111111122-1-1-2-21111-1-1-1-1-2-2002222-2-20000000000000011-1-1110000-1-1000000
χ2522222222-12-1-1-1222-12-1-1222-1-122-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1002200000022222200000000000000-1-1-1-100-1-1-1-100
χ2622222222-12-1-1-1222-12-1-1222-1-122-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-2000000-2-2-2-2-2-200000000000000111100111100
χ2722222222-12-1-1-1222-12-1-1222-1-122-1-1-1-1-1-1-1-2-211-2-211112211-2-2-1-1-1-1-1-111110022000000-2-222-2-200000000000000-1-11100-1-11100
χ2822222222-12-1-1-1222-12-1-1222-1-122-1-1-1-1-1-1-1-2-211-2-211112211-2-2-1-1-1-1-1-1111100-2-200000022-2-2220000000000000011-1-10011-1-100
χ2922222222-12-1-1-1222-12-1-1222-1-1-2-2-1-1-1-1-1-1-12-2-1-122-1-1-1-1-2-211-2-211111111110022000000-2-2-2-22200000000000000-1-1110011-1-100
χ3022222222-12-1-1-1222-12-1-1222-1-1-2-2-1-1-1-1-1-1-12-2-1-122-1-1-1-1-2-211-2-2111111111100-2-20000002222-2-20000000000000011-1-100-1-11100
χ3122222222-12-1-1-1222-12-1-1222-1-1-2-2-1-1-1-1-1-1-1-2211-2-21111-2-2-1-122111111-1-1-1-1002200000022-2-2-2-200000000000000-1-1-1-100111100
χ3222222222-12-1-1-1222-12-1-1222-1-1-2-2-1-1-1-1-1-1-1-2211-2-21111-2-2-1-122111111-1-1-1-100-2-2000000-2-2222200000000000000111100-1-1-1-100
χ33222-2-2-2-22222-2-222-2-222-2-2-2-2220022-2-2-22-200000000000000000000000000002-200002i−2i00000000002i2i−2i−2i00002i−2i2-20000000000
χ34222-2-2-2-22222-2-222-2-222-2-2-2-2220022-2-2-22-200000000000000000000000000002-20000−2i2i0000000000−2i−2i2i2i0000−2i2i2-20000000000
χ35222-2-2-2-22222-2-222-2-222-2-2-2-2220022-2-2-22-20000000000000000000000000000-2200002i−2i0000000000−2i−2i2i2i00002i−2i-220000000000
χ36222-2-2-2-22222-2-222-2-222-2-2-2-2220022-2-2-22-20000000000000000000000000000-220000−2i2i00000000002i2i−2i−2i0000−2i2i-220000000000
χ3722-22-2-22-2222-2-22-2-22-2-222-22-22002-22-2-2-22000000000000000000000000002-20000000000002i−2i2i2i−2i−2i00002-20000000000002i−2i00
χ3822-22-2-22-2222-2-22-2-22-2-222-22-22002-22-2-2-22000000000000000000000000002-2000000000000−2i2i−2i−2i2i2i00002-2000000000000−2i2i00
χ3922-22-2-22-2222-2-22-2-22-2-222-22-22002-22-2-2-2200000000000000000000000000-220000000000002i−2i−2i−2i2i2i0000-220000000000002i−2i00
χ4022-22-2-22-2222-2-22-2-22-2-222-22-22002-22-2-2-2200000000000000000000000000-22000000000000−2i2i2i2i−2i−2i0000-22000000000000−2i2i00
χ412-222-22-2-222-22-2-22-22-22-2-222-2200-22-22-2-220000000000000000000000000000002-20000002i−2i0000002i−2i2i−2i00000000002-22i−2i0000
χ422-222-22-2-222-22-2-22-22-22-2-222-2200-22-22-2-220000000000000000000000000000002-2000000−2i2i000000−2i2i−2i2i00000000002-2−2i2i0000
χ432-222-22-2-222-22-2-22-22-22-2-222-2200-22-22-2-22000000000000000000000000000000-220000002i−2i000000−2i2i−2i2i0000000000-222i−2i0000
χ442-222-22-2-222-22-2-22-22-22-2-222-2200-22-22-2-22000000000000000000000000000000-22000000−2i2i0000002i−2i2i−2i0000000000-22−2i2i0000
χ452-22-22-22-222-2-22-222-2-2222-2-2-222i−2i-222-22-2-200000000002i−2i00002i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i2-2-22000000000000000000
χ462-22-22-22-222-2-22-222-2-2222-2-2-222i−2i-222-22-2-200000000002i−2i00002i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i-222-2000000000000000000
χ472-22-22-22-222-2-22-222-2-2222-2-2-22−2i2i-222-22-2-20000000000−2i2i0000−2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i-222-2000000000000000000
χ482-22-22-22-222-2-22-222-2-2222-2-2-22−2i2i-222-22-2-20000000000−2i2i0000−2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i2-2-22000000000000000000
χ492-2-2-2-222222-22-2-2-2-2-22-2222-22200-2-222-22-2000000000000000000000000000000002-2002-200002-2-220000002-200002-200000000
χ502-2-2-2-222222-22-2-2-2-2-22-2222-22200-2-222-22-2000000000000000000000000000000002-200-220000-222-20000002-20000-2200000000
χ512-2-2-2-222222-22-2-2-2-2-22-2222-22200-2-222-22-200000000000000000000000000000000-22002-20000-222-2000000-2200002-200000000
χ522-2-2-2-222222-22-2-2-2-2-22-2222-22200-2-222-22-200000000000000000000000000000000-2200-2200002-2-22000000-220000-2200000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111111144-2-2-2-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-42222-1-1-1-1-2-22222-2-21111-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-4-2-2-2-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-442222-1-1-1-122-2-2-2-222-1-1-1-11111000000000000000000000000000000000000000000
χ57444-4-4-4-444-24-4-4-2-22-4-24-42224-200-2-2222-2200000000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ58444-4-4-4-444-24-4-4-2-22-4-24-42224-200-2-2222-220000000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ59444-4-4-4-44-24-22244-424-22-4-4-4-2-200-2-2222-2200000000000000000000000000004-400000000000000000000000000-220000000000
χ60444-4-4-4-44-24-22244-424-22-4-4-4-2-200-2-2222-220000000000000000000000000000-44000000000000000000000000002-20000000000
χ6144-44-4-44-44-24-4-4-22242-44-22-2-4-200-22-2222-2000000000000000000000000004-40000000000000000000000-220000000000000000
χ6244-44-4-44-44-24-4-4-22242-44-22-2-4-200-22-2222-200000000000000000000000000-4400000000000000000000002-20000000000000000
χ6344-44-4-44-4-24-2224-4-4-2-42-24-442-200-22-2222-200000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i00
χ6444-44-4-44-4-24-2224-4-4-2-42-24-442-200-22-2222-20000000000000000000000000000000000000000−4i4i00000000000000000000002i−2i00
χ6544-4-444-4-4444444-44-4-4-4-4-44-4-44004-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-4-44-2444-22-2-42-4-42-22-4-200-222-2-2220000000000000023−230000002323−23−23000000000000000000000000000000000000000000
χ6744-4-444-4-44-2444-22-2-42-4-42-22-4-200-222-2-22200000000000000−2323000000−23−232323000000000000000000000000000000000000000000
χ6844-4-444-4-4-24-2-2-24-442-422-44-42-200-222-2-22200−2i32i300−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000000
χ6944-4-444-4-4-24-2-2-24-442-422-44-42-200-222-2-222002i3−2i3002i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000000
χ7044-4-444-4-4-2-2-2-2-2-22-222222-2221001-1-111-1-100−2i32i300i3i3−i3−i3000023−23003i−3i3i−3i−3−333000000000000000000000000000000000000000000
χ7144-4-444-4-4-2-2-2-2-2-22-222222-2221001-1-111-1-100−2i32i300i3i3−i3−i30000−232300−3i3i−3i3i33−3−3000000000000000000000000000000000000000000
χ7244-4-444-4-4-2-2-2-2-2-22-222222-2221001-1-111-1-1002i3−2i300−i3−i3i3i3000023−2300−3i3i−3i3i−3−333000000000000000000000000000000000000000000
χ7344-4-444-4-4-2-2-2-2-2-22-222222-2221001-1-111-1-1002i3−2i300−i3−i3i3i30000−2323003i−3i3i−3i33−3−3000000000000000000000000000000000000000000
χ744-444-44-4-44-2-44-42-22424-42-2-2-4-2002-22-222-20000000000000000000000000000004-40000000000000000000000000000-22000000
χ754-444-44-4-44-2-44-42-22424-42-2-2-4-2002-22-222-2000000000000000000000000000000-4400000000000000000000000000002-2000000
χ764-444-44-4-4-242-22-44-4-2-4-22-4442-2002-22-222-2000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i0000
χ774-444-44-4-4-242-22-44-4-2-4-22-4442-2002-22-222-200000000000000000000000000000000000000−4i4i00000000000000000000002i−2i0000
χ784-44-44-44-44-2-4-442-2-2-4244-222-4-24i−4i2-2-22-2220000000000−2i2i00004i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ794-44-44-44-44-2-4-442-2-2-4244-222-4-2−4i4i2-2-22-22200000000002i−2i0000−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ804-44-44-44-4-2422-2-4442-4-2-24-4-42-24i−4i2-2-22-22200000000004i−4i0000−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ814-44-44-44-4-2422-2-4442-4-2-24-4-42-2−4i4i2-2-22-2220000000000−4i4i00002i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ824-44-44-44-4-2-222-22-2-222-2-2-222214i−4i-111-11-1-10000003-33-3−2i2i0000−2i2iii−i−i3i−3i3i−3i000000000000000000000000000000000000000000
χ834-44-44-44-4-2-222-22-2-222-2-2-222214i−4i-111-11-1-1000000-33-33−2i2i0000−2i2iii−i−i−3i3i−3i3i000000000000000000000000000000000000000000
χ844-44-44-44-4-2-222-22-2-222-2-2-22221−4i4i-111-11-1-10000003-33-32i−2i00002i−2i−i−iii−3i3i−3i3i000000000000000000000000000000000000000000
χ854-44-44-44-4-2-222-22-2-222-2-2-22221−4i4i-111-11-1-1000000-33-332i−2i00002i−2i−i−iii3i−3i3i−3i000000000000000000000000000000000000000000
χ864-4-444-4-4444-4-44-4-4444-4-4-4-444400-4-4-4-444400000000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-4-444-2-4-4422-24-2-4-422-24-2002222-2-2-20000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ884-4-444-4-444-2-4-4422-24-2-4-422-24-2002222-2-2-200002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ894-4-444-4-44-2422-2-4-44-2422-4-44-2-2002222-2-2-2000000000000−2i32i300000000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ904-4-444-4-44-2422-2-4-44-2422-4-44-2-2002222-2-2-20000000000002i3−2i3000000002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ914-4-444-4-44-2-222-222-2-2-22222-2-2100-1-1-1-11110000−2i32i3i3−i3−i3i300−2i32i300003-3-33i3−i3−i3i3000000000000000000000000000000000000000000
χ924-4-444-4-44-2-222-222-2-2-22222-2-2100-1-1-1-11110000−2i32i3i3−i3−i3i3002i3−2i30000-333-3−i3i3i3−i3000000000000000000000000000000000000000000
χ934-4-444-4-44-2-222-222-2-2-22222-2-2100-1-1-1-111100002i3−2i3−i3i3i3−i300−2i32i30000-333-3i3−i3−i3i3000000000000000000000000000000000000000000
χ944-4-444-4-44-2-222-222-2-2-22222-2-2100-1-1-1-111100002i3−2i3−i3i3i3−i3002i3−2i300003-3-33−i3i3i3−i3000000000000000000000000000000000000000000
χ954-4-4-4-44444-2-44-4222-4-2-44-2-224-20022-2-22-22000000000000000000000000000000004-4000000000000000000-2200000000000000
χ964-4-4-4-44444-2-44-4222-4-2-44-2-224-20022-2-22-2200000000000000000000000000000000-440000000000000000002-200000000000000
χ974-4-4-4-4444-242-22-4-4-4242-244-4-2-20022-2-22-220000000000000000000000000000000000004-400000000000000000000-2200000000
χ984-4-4-4-4444-242-22-4-4-4242-244-4-2-20022-2-22-22000000000000000000000000000000000000-44000000000000000000002-200000000
χ99888-8-8-8-88-4-4-444-4-444-4-44444-420022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-88-8-88-8-4-4-444-444-444-4-44-442002-22-2-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1018-888-88-8-8-4-44-444-44-44-444-4-44200-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8-8888-4-44-444444-44-4-4-44-4200-2-222-22-200000000000000000000000000000000000000000000000000000000000000000000

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