Finite Group Databasebeta

← Group #11812991

Character table — Group #11812991

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order122222223366666666666666344666666624666666661212121212121212121212121212121222444444444444442222444466121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ91111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1111-1
χ101111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ111111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-11
χ121111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11-1
χ131111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11-1
χ141111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-1-11
χ151111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-11
χ161111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111-1
χ17222222222-122-1-1-12-1-1222-12-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222200222200000000000000-1-1-1-100000000-1-1-1-100
χ18222222222-122-1-1-12-1-1222-12-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-200000000000000111100000000111100
χ19222222222-122-1-1-12-1-1222-12-1-122-1-1-1-1-1-1-1-2-2-2-2111111-1-1-2-21122-1-1-1-1111122-2-20022-2-200000000000000-1-11100000000-1-11100
χ20222222222-122-1-1-12-1-1222-12-1-122-1-1-1-1-1-1-1-2-2-2-2111111-1-1-2-21122-1-1-1-11111-2-22200-2-2220000000000000011-1-10000000011-1-100
χ21222222222-122-1-1-12-1-1222-12-1-1-2-2-1-1-1-1-1-1-12-222-1-1-1-1-1-111-2-211-2-21111111122-2-200-2-22200000000000000-1-1110000000011-1-100
χ22222222222-122-1-1-12-1-1222-12-1-1-2-2-1-1-1-1-1-1-12-222-1-1-1-1-1-111-2-211-2-211111111-2-2220022-2-20000000000000011-1-100000000-1-11100
χ23222222222-122-1-1-12-1-1222-12-1-1-2-2-1-1-1-1-1-1-1-22-2-21111111122-1-1-2-21111-1-1-1-1222200-2-2-2-200000000000000-1-1-1-100000000111100
χ24222222222-122-1-1-12-1-1222-12-1-1-2-2-1-1-1-1-1-1-1-22-2-21111111122-1-1-2-21111-1-1-1-1-2-2-2-200222200000000000000111100000000-1-1-1-100
χ2522222222-12-1-1222-122-1-1-12-12-122-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000220000222222000000000000-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1222-122-1-1-12-12-122-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-20000-2-2-2-2-2-200000000000011111111000000
χ2722222222-12-1-1222-122-1-1-12-12-122-1-1-1-1-1-1-1-2-211-2-211112211-2-2-1-1-1-1-1-11111000022000022-2-2-2-2000000000000-1-1-1-11111000000
χ2822222222-12-1-1222-122-1-1-12-12-122-1-1-1-1-1-1-1-2-211-2-211112211-2-2-1-1-1-1-1-111110000-2-20000-2-222220000000000001111-1-1-1-1000000
χ2922222222-12-1-1222-122-1-1-12-12-1-2-2-1-1-1-1-1-1-12-2-1-122-1-1-1-1-2-211-2-211111111110000220000-2-2-2-222000000000000-1-11111-1-1000000
χ3022222222-12-1-1222-122-1-1-12-12-1-2-2-1-1-1-1-1-1-12-2-1-122-1-1-1-1-2-211-2-211111111110000-2-200002222-2-200000000000011-1-1-1-111000000
χ3122222222-12-1-1222-122-1-1-12-12-1-2-2-1-1-1-1-1-1-1-2211-2-21111-2-2-1-122111111-1-1-1-10000220000-2-222-2-2000000000000-1-111-1-111000000
χ3222222222-12-1-1222-122-1-1-12-12-1-2-2-1-1-1-1-1-1-1-2211-2-21111-2-2-1-122111111-1-1-1-10000-2-2000022-2-22200000000000011-1-111-1-1000000
χ33222-22-2-2-2222-22-2-222-22-2-2-2-2220022-2-2-22-20000000000000000000000000000002i−2i002-200000000002i2i−2i−2i00002i−2i000000002-200
χ34222-22-2-2-2222-22-2-222-22-2-2-2-2220022-2-2-22-20000000000000000000000000000002i−2i00-220000000000−2i−2i2i2i00002i−2i00000000-2200
χ35222-22-2-2-2222-22-2-222-22-2-2-2-2220022-2-2-22-2000000000000000000000000000000−2i2i002-20000000000−2i−2i2i2i0000−2i2i000000002-200
χ36222-22-2-2-2222-22-2-222-22-2-2-2-2220022-2-2-22-2000000000000000000000000000000−2i2i00-2200000000002i2i−2i−2i0000−2i2i00000000-2200
χ3722-22-2-22-2222-222-2-2-2-2-2222-2-222i−2i2-222-2-2-200000000002i−2i00002i−2i2i2i−2i−2i0000000000000000000022-2-22i−2i2i−2i000000000000000000
χ3822-22-2-22-2222-222-2-2-2-2-2222-2-222i−2i2-222-2-2-200000000002i−2i00002i−2i2i2i−2i−2i00000000000000000000-2-222−2i2i−2i2i000000000000000000
χ3922-22-2-22-2222-222-2-2-2-2-2222-2-22−2i2i2-222-2-2-20000000000−2i2i0000−2i2i−2i−2i2i2i0000000000000000000022-2-2−2i2i−2i2i000000000000000000
χ4022-22-2-22-2222-222-2-2-2-2-2222-2-22−2i2i2-222-2-2-20000000000−2i2i0000−2i2i−2i−2i2i2i00000000000000000000-2-2222i−2i2i−2i000000000000000000
χ4122-2-2-22-2222222-22-2-22-2-2-2-22-22002-2-2-22-2200000000000000000000000000002i−2i0000002i−2i000000002-2-22002i−2i002i−2i0000000000
χ4222-2-2-22-2222222-22-2-22-2-2-2-22-22002-2-2-22-2200000000000000000000000000002i−2i000000−2i2i00000000-222-2002i−2i00−2i2i0000000000
χ4322-2-2-22-2222222-22-2-22-2-2-2-22-22002-2-2-22-220000000000000000000000000000−2i2i0000002i−2i00000000-222-200−2i2i002i−2i0000000000
χ4422-2-2-22-2222222-22-2-22-2-2-2-22-22002-2-2-22-220000000000000000000000000000−2i2i000000−2i2i000000002-2-2200−2i2i00−2i2i0000000000
χ452-22-2-222-222-22-22222-2-22-2-2-2-2200-2-22-222-2000000000000000000000000000000002i−2i0000002i−2i2-22-2000000000000002i−2i2i−2i0000
χ462-22-2-222-222-22-22222-2-22-2-2-2-2200-2-22-222-2000000000000000000000000000000002i−2i000000−2i2i-22-2200000000000000−2i2i2i−2i0000
χ472-22-2-222-222-22-22222-2-22-2-2-2-2200-2-22-222-200000000000000000000000000000000−2i2i0000002i−2i-22-22000000000000002i−2i−2i2i0000
χ482-22-2-222-222-22-22222-2-22-2-2-2-2200-2-22-222-200000000000000000000000000000000−2i2i000000−2i2i2-22-200000000000000−2i2i−2i2i0000
χ492-2-2-22-22222-2-2-22-2-2-2222-2-222200-222-2-2-22000000000000000000000000002-200000000002-2002-2-2200002-20000002-200000000
χ502-2-2-22-22222-2-2-22-2-2-2222-2-222200-222-2-2-22000000000000000000000000002-20000000000-2200-222-200002-2000000-2200000000
χ512-2-2-22-22222-2-2-22-2-2-2222-2-222200-222-2-2-2200000000000000000000000000-2200000000002-200-222-20000-220000002-200000000
χ522-2-2-22-22222-2-2-22-2-2-2222-2-222200-222-2-2-2200000000000000000000000000-220000000000-22002-2-220000-22000000-2200000000
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
χ57444-44-4-4-44-24-4-2224-224-4-42-4-2-200-2-2222-2200000000000000000000000000000000004-40000000000000000000000000000-2200
χ58444-44-4-4-44-24-4-2224-224-4-42-4-2-200-2-2222-220000000000000000000000000000000000-4400000000000000000000000000002-200
χ59444-44-4-4-4-24-224-4-4-24-4-222-424-200-2-2222-220000000000000000000000000000004i−4i0000000000000000000000−2i2i000000000000
χ60444-44-4-4-4-24-224-4-4-24-4-222-424-200-2-2222-22000000000000000000000000000000−4i4i00000000000000000000002i−2i000000000000
χ6144-44-4-44-44-24-4-2-22-422-444-2-42-24i−4i-22-2-22220000000000−2i2i00004i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ6244-44-4-44-44-24-4-2-22-422-444-2-42-2−4i4i-22-2-222200000000002i−2i0000−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ6344-44-4-44-4-24-2244-42-4-42-2-242-4-24i−4i-22-2-222200000000004i−4i0000−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ6444-44-4-44-4-24-2244-42-4-42-2-242-4-2−4i4i-22-2-22220000000000−4i4i00002i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ6544-44-4-44-4-2-2-22-2-222222-2-2-22214i−4i1-111-1-1-100000033-3-3−2i2i0000−2i2iii−i−i3i3i−3i−3i000000000000000000000000000000000000000000
χ6644-44-4-44-4-2-2-22-2-222222-2-2-22214i−4i1-111-1-1-1000000-3-333−2i2i0000−2i2iii−i−i−3i−3i3i3i000000000000000000000000000000000000000000
χ6744-44-4-44-4-2-2-22-2-222222-2-2-2221−4i4i1-111-1-1-100000033-3-32i−2i00002i−2i−i−iii−3i−3i3i3i000000000000000000000000000000000000000000
χ6844-44-4-44-4-2-2-22-2-222222-2-2-2221−4i4i1-111-1-1-1000000-3-3332i−2i00002i−2i−i−iii3i3i−3i−3i000000000000000000000000000000000000000000
χ6944-4-4-44-444-244-22-2-42-2-4-4-4242-200-2222-22-200000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ7044-4-4-44-444-244-22-2-42-2-4-4-4242-200-2222-22-20000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000000
χ7144-4-4-44-44-24-2-24-442-44222-4-2-4-200-2222-22-20000000000000000000000000000000000004i−4i000000000000000000−2i2i0000000000
χ7244-4-4-44-44-24-2-24-442-44222-4-2-4-200-2222-22-2000000000000000000000000000000000000−4i4i0000000000000000002i−2i0000000000
χ734-444-4-4-4444-4-4-4-4-4444-4-4444-4400-4-4-44-44400000000000000000000000000000000000000000000000000000000000000000000
χ744-444-4-4-444-2-4-42224-2-2-4-44-242-200222-22-2-200000000000000−2i32i3000000−2i32i3−2i32i3000000000000000000000000000000000000000000
χ754-444-4-4-444-2-4-42224-2-2-4-44-242-200222-22-2-2000000000000002i3−2i30000002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ764-444-4-4-44-2422-4-4-4-24422-24-2-4-200222-22-2-200−2i32i300−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ774-444-4-4-44-2422-4-4-4-24422-24-2-4-200222-22-2-2002i3−2i3002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ784-444-4-4-44-2-222222-2-2-222-2-2-22100-1-1-11-11100−2i32i300i3−i3i3−i30000−2i32i3003-33-3i3−i3i3−i3000000000000000000000000000000000000000000
χ794-444-4-4-44-2-222222-2-2-222-2-2-22100-1-1-11-11100−2i32i300i3−i3i3−i300002i3−2i300-33-33−i3i3−i3i3000000000000000000000000000000000000000000
χ804-444-4-4-44-2-222222-2-2-222-2-2-22100-1-1-11-111002i3−2i300−i3i3−i3i30000−2i32i300-33-33i3−i3i3−i3000000000000000000000000000000000000000000
χ814-444-4-4-44-2-222222-2-2-222-2-2-22100-1-1-11-111002i3−2i300−i3i3−i3i300002i3−2i3003-33-3−i3i3−i3i3000000000000000000000000000000000000000000
χ824-44-4-444-44-2-442-2-24-22-44-42-42-20022-22-2-22000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000
χ834-44-4-444-44-2-442-2-24-22-44-42-42-20022-22-2-2200000000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000
χ844-44-4-444-4-242-2-444-24-42-22-42-4-20022-22-2-2200000000000000000000000000000000000000004i−4i000000000000000000−2i2i000000
χ854-44-4-444-4-242-2-444-24-42-22-42-4-20022-22-2-220000000000000000000000000000000000000000−4i4i0000000000000000002i−2i000000
χ864-4-4444-4-444-44-4-44-4-4-44-444-44400-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ874-4-4444-4-44-2-4422-2-4224-44-2-4-2-2002-22-2-2220000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ884-4-4444-4-44-2-4422-2-4224-44-2-4-2-2002-22-2-22200002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ894-4-4444-4-4-242-2-4-442-4-4-22-2424-2002-22-2-22200000000000023−230000000023−23−2323000000000000000000000000000000000000000000
χ904-4-4444-4-4-242-2-4-442-4-4-22-2424-2002-22-2-222000000000000−232300000000−232323−23000000000000000000000000000000000000000000
χ914-4-4444-4-4-2-22-222-2222-22-2-22-2100-11-111-1-10000−2i32i3i3−i3−i3i30023−2300003i−3i−3i3i−333−3000000000000000000000000000000000000000000
χ924-4-4444-4-4-2-22-222-2222-22-2-22-2100-11-111-1-10000−2i32i3i3−i3−i3i300−23230000−3i3i3i−3i3−3−33000000000000000000000000000000000000000000
χ934-4-4444-4-4-2-22-222-2222-22-2-22-2100-11-111-1-100002i3−2i3−i3i3i3−i30023−230000−3i3i3i−3i−333−3000000000000000000000000000000000000000000
χ944-4-4444-4-4-2-22-222-2222-22-2-22-2100-11-111-1-100002i3−2i3−i3i3i3−i300−232300003i−3i−3i3i3−3−33000000000000000000000000000000000000000000
χ954-4-4-44-4444-2-4-42-22-42-244-424-2-2002-2-2222-2000000000000000000000000004-40000000000000000000000-220000000000000000
χ964-4-4-44-4444-2-4-42-22-42-244-424-2-2002-2-2222-200000000000000000000000000-4400000000000000000000002-20000000000000000
χ974-4-4-44-444-2422-44-42-44-2-22-4-24-2002-2-2222-2000000000000000000000000000000000000004-4000000000000000000-2200000000
χ984-4-4-44-444-2422-44-42-44-2-22-4-24-2002-2-2222-200000000000000000000000000000000000000-440000000000000000002-200000000
χ99888-88-8-8-8-4-4-44-444-4-44-44444-420022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-88-88-4-4-4-4-44-444-44444-442002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-888-8-4-44-44-4-4-4-444-44444200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-88-888-4-4444-4444-4-4-444-4-4200-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000

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