Finite Group Databasebeta

← Group #11819066

Character table — Group #11819066

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122222223344446666666666666634444666666612121212121212121212121212121212121212121212121212121212224444446666121212121212121212121212444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-111-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-111-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11111-1-11111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-1-1-1111111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-11-111-1-111-1-1-1-1-1-111
χ17222222222-12222222-1-1-1-12-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-100000000-1-1-1-100000022-1-1-1-10000000000
χ18222222222-12222222-1-1-1-12-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111000000001111000000-2-211110000000000
χ19222222222-12222222-1-1-1-12-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-1-1-1-11111111122002200-1-1-1-100000000-1-1-1-1000000-2-211110000000000
χ20222222222-12222222-1-1-1-12-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-1-1-1-111111111-2-200-2-200111100000000111100000022-1-1-1-10000000000
χ21222222222-1-2-2-2-2222-1-1-1-12-122-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-222-1-1-2-2111111-1-1-1-111112200-2-200-1-1-1-10000000011110000002-2-1-1110000000000
χ22222222222-1-2-2-2-2222-1-1-1-12-122-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-222-1-1-2-2111111-1-1-1-11111-2-2002200111100000000-1-1-1-1000000-2211-1-10000000000
χ23222222222-1-2-2-2-2222-1-1-1-12-122-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-21122-1-111111111-1-1-1-12200-2-200-1-1-1-1000000001111000000-2211-1-10000000000
χ24222222222-1-2-2-2-2222-1-1-1-12-122-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-21122-1-111111111-1-1-1-1-2-2002200111100000000-1-1-1-10000002-2-1-1110000000000
χ2522222222-122222-1-1-12222-12-1-122-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-1-1-1-1-10000000022000000-1-1-1-1000000
χ2622222222-122222-1-1-12222-12-1-122-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200001111111100000000-2-20000001111000000
χ2722222222-122222-1-1-12222-12-1-122-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-111-2-211-2-2-1-1-1-111111111002200220000-1-1-1-1-1-1-1-100000000-2-20000001111000000
χ2822222222-122222-1-1-12222-12-1-122-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-111-2-211-2-2-1-1-1-11111111100-2-200-2-20000111111110000000022000000-1-1-1-1000000
χ2922222222-12-2-2-2-2-1-1-12222-12-1-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-1-12211-2-21111-1-1-1-11111002200-2-20000-1-1-1-11111000000002-2000000-1-111000000
χ3022222222-12-2-2-2-2-1-1-12222-12-1-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-1-12211-2-21111-1-1-1-1111100-2-2002200001111-1-1-1-100000000-2200000011-1-1000000
χ3122222222-12-2-2-2-2-1-1-12222-12-1-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111111-2-2-1-12211111111-1-1-1-1002200-2-20000-1-1-1-1111100000000-2200000011-1-1000000
χ3222222222-12-2-2-2-2-1-1-12222-12-1-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111111-2-2-1-12211111111-1-1-1-100-2-2002200001111-1-1-1-1000000002-2000000-1-111000000
χ33222-2-2-22-22222-2-22-2-22-2-2-222-2-22-22200002-2-2-2-22222-2-222-2-20000000022-2-2000000000000000000000000000000002i2i−2i−2i0000000000002i−2i0000
χ34222-2-2-22-22222-2-22-2-22-2-2-222-2-22-22200002-2-2-2-22222-2-222-2-20000000022-2-200000000000000000000000000000000−2i−2i2i2i000000000000−2i2i0000
χ35222-2-2-22-222-2-2222-2-22-2-2-222-2-22-22200002-2-2-2-222-2-222-2-22200000000-2-222000000000000000000000000000000002i2i−2i−2i000000000000−2i2i0000
χ36222-2-2-22-222-2-2222-2-22-2-2-222-2-22-22200002-2-2-2-222-2-222-2-22200000000-2-22200000000000000000000000000000000−2i−2i2i2i0000000000002i−2i0000
χ3722-222-2-2-222000022-2222-2-2-22-2-2-2-220000222-2-2-2-200000000000000000000000000002-22-2000022-2-222-2-2000000002-22-2000000000000000000
χ3822-222-2-2-222000022-2222-2-2-22-2-2-2-220000222-2-2-2-200000000000000000000000000002-2-22000022-2-2-2-22200000000-22-22000000000000000000
χ3922-222-2-2-222000022-2222-2-2-22-2-2-2-220000222-2-2-2-20000000000000000000000000000-222-20000-2-22222-2-200000000-22-22000000000000000000
χ4022-222-2-2-222000022-2222-2-2-22-2-2-2-220000222-2-2-2-20000000000000000000000000000-22-220000-2-222-2-222000000002-22-2000000000000000000
χ4122-2-2-22-222200002-222-2-22-2-2-22-22-2200002-2-222-2-2000000000000000000000000000000002i−2i2-20000000022-2-22i2i−2i−2i2i−2i−2i2i000000000000000000
χ4222-2-2-22-222200002-222-2-22-2-2-22-22-2200002-2-222-2-2000000000000000000000000000000002i−2i-2200000000-2-2222i2i−2i−2i−2i2i2i−2i000000000000000000
χ4322-2-2-22-222200002-222-2-22-2-2-22-22-2200002-2-222-2-200000000000000000000000000000000−2i2i2-20000000022-2-2−2i−2i2i2i−2i2i2i−2i000000000000000000
χ4422-2-2-22-222200002-222-2-22-2-2-22-22-2200002-2-222-2-200000000000000000000000000000000−2i2i-2200000000-2-222−2i−2i2i2i2i−2i−2i2i000000000000000000
χ452-2-22-2-222222-22-2-2-2-2-22-2-2-2-22222220000-22-22-22-22-22-22-22-2000000002-22-2000000000000000000000000000000000000000000000000002-22-2
χ462-2-22-2-222222-22-2-2-2-2-22-2-2-2-22222220000-22-22-22-22-22-22-22-2000000002-22-200000000000000000000000000000000000000000000000000-22-22
χ472-2-22-2-22222-22-22-2-2-2-22-2-2-2-22222220000-22-22-22-2-22-22-22-2200000000-22-22000000000000000000000000000000000000000000000000002-2-22
χ482-2-22-2-22222-22-22-2-2-2-22-2-2-2-22222220000-22-22-22-2-22-22-22-2200000000-22-2200000000000000000000000000000000000000000000000000-222-2
χ492-2-2-2222-2222-2-22-222-2-222-2-2-2-22-2222i−2i2i−2i-2-22-222-22-2-222-2-222i−2i2i−2i2i−2i2i−2i2-2-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ502-2-2-2222-2222-2-22-222-2-222-2-2-2-22-222−2i2i−2i2i-2-22-222-22-2-222-2-22−2i2i−2i2i−2i2i−2i2i2-2-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ512-2-2-2222-222-222-2-222-2-222-2-2-2-22-2222i−2i−2i2i-2-22-222-2-222-2-222-22i−2i2i−2i−2i2i−2i2i-222-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ522-2-2-2222-222-222-2-222-2-222-2-2-2-22-222−2i2i2i−2i-2-22-222-2-222-2-222-2−2i2i−2i2i2i−2i2i−2i-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ532-2-2-2222-22-12-2-22-22211-1-1-21-2-2-112-12i−2i2i−2i11-11-1-11-111-12-2-222i−2i−ii2i−2i−ii-111-1−i−iii−i−iii00000000−i3i3−i3i300000000−i3i3−i3i3000000003−33−30000000000
χ542-2-2-2222-22-12-2-22-22211-1-1-21-2-2-112-12i−2i2i−2i11-11-1-11-111-12-2-222i−2i−ii2i−2i−ii-111-1−i−iii−i−iii00000000i3−i3i3−i300000000i3−i3i3−i300000000−33−330000000000
χ552-2-2-2222-22-12-2-22-22211-1-1-21-2-2-112-1−2i2i−2i2i11-11-1-11-111-12-2-22−2i2ii−i−2i2ii−i-111-1ii−i−iii−i−i00000000−i3i3−i3i300000000−i3i3−i3i300000000−33−330000000000
χ562-2-2-2222-22-12-2-22-22211-1-1-21-2-2-112-1−2i2i−2i2i11-11-1-11-111-12-2-22−2i2ii−i−2i2ii−i-111-1ii−i−iii−i−i00000000i3−i3i3−i300000000i3−i3i3−i3000000003−33−30000000000
χ572-2-2-2222-22-1-222-2-22211-1-1-21-2-2-112-12i−2i−2i2i11-11-1-111-1-11-222-22i−2i−ii−2i2ii−i1-1-11−i−iiiii−i−i00000000−i3i3−i3i300000000i3−i3i3−i3000000003−3−330000000000
χ582-2-2-2222-22-1-222-2-22211-1-1-21-2-2-112-12i−2i−2i2i11-11-1-111-1-11-222-22i−2i−ii−2i2ii−i1-1-11−i−iiiii−i−i00000000i3−i3i3−i300000000−i3i3−i3i300000000−333−30000000000
χ592-2-2-2222-22-1-222-2-22211-1-1-21-2-2-112-1−2i2i2i−2i11-11-1-111-1-11-222-2−2i2ii−i2i−2i−ii1-1-11ii−i−i−i−iii00000000−i3i3−i3i300000000i3−i3i3−i300000000−333−30000000000
χ602-2-2-2222-22-1-222-2-22211-1-1-21-2-2-112-1−2i2i2i−2i11-11-1-111-1-11-222-2−2i2ii−i2i−2i−ii1-1-11ii−i−i−i−iii00000000i3−i3i3−i300000000−i3i3−i3i3000000003−3−330000000000
χ612-2-2-2222-2-122-2-221-1-1-2-2221-2112-2-1-12i−2i2i−2i11-11-1-112-2-22-111-1−ii2i−2i−ii2i−2i-111-1−i−iii−i−iii0000000000003−33−33−33−30000000000000000−i3i3−i3i3000000
χ622-2-2-2222-2-122-2-221-1-1-2-2221-2112-2-1-12i−2i2i−2i11-11-1-112-2-22-111-1−ii2i−2i−ii2i−2i-111-1−i−iii−i−iii000000000000−33−33−33−330000000000000000i3−i3i3−i3000000
χ632-2-2-2222-2-122-2-221-1-1-2-2221-2112-2-1-1−2i2i−2i2i11-11-1-112-2-22-111-1i−i−2i2ii−i−2i2i-111-1ii−i−iii−i−i0000000000003−33−33−33−30000000000000000i3−i3i3−i3000000
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χ8544-4-4-44-444-200004-44-222-2-42-442-2-4-20000-222-2-222000000000000000000000000000000004i−4i00000000000000−2i−2i2i2i0000000000000000000000
χ8644-4-4-44-444-200004-44-222-2-42-442-2-4-20000-222-2-22200000000000000000000000000000000−4i4i000000000000002i2i−2i−2i0000000000000000000000
χ8744-4-4-44-44-240000-22-24-4-442-42-2-442-20000-222-2-22200000000000000000000000000000000004-400000000-2-22200000000000000000000000000
χ8844-4-4-44-44-240000-22-24-4-442-42-2-442-20000-222-2-2220000000000000000000000000000000000-440000000022-2-200000000000000000000000000
χ894-444-44-4-4440000-4-44-44-44444-4-4-4-440000-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-44-4-44-20000-4-442-22-24-24-422-4-200002-222-22-200000000000000000000000000000000000000000000000023−23−23230000000000000000000000
χ914-444-44-4-44-20000-4-442-22-24-24-422-4-200002-222-22-2000000000000000000000000000000000000000000000000−232323−230000000000000000000000
χ924-444-44-4-4-24000022-2-44-44-24-22-4-42-200002-222-22-20000000000000000000000000000000000000000000023−23−232300000000000000000000000000
χ934-444-44-4-4-24000022-2-44-44-24-22-4-42-200002-222-22-200000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ944-44-44-4-44440000-44-4-4-44-444-44-44-440000-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-44-4-444-20000-44-422-224-2-442-2-4-2000022-2-222-2000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ964-44-44-4-444-20000-44-422-224-2-442-2-4-2000022-2-222-20000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ974-44-44-4-44-2400002-22-4-44-4-242-2-442-2000022-2-222-2000000000000000000000000000000000000000023−23−2323000000000000000000000000000000
χ984-44-44-4-44-2400002-22-4-44-4-242-2-442-2000022-2-222-20000000000000000000000000000000000000000−232323−23000000000000000000000000000000
χ994-4-44-4-4444-24-44-4-4-4-42-222-4244-2-24-200002-22-22-22-22-224-44-400000000-22-22000000000000000000000000000000000000000000000000000000
χ1004-4-44-4-4444-2-44-44-4-4-42-222-4244-2-24-200002-22-22-222-22-2-44-44000000002-22-2000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-244-44-4222-44-4-42-4-2-244-2-200002-22-22-224-44-4-22-2200000000-22-22000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-24-44-44222-44-4-42-4-2-244-2-200002-22-22-22-44-442-22-2000000002-22-2000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-24-44-42222-22222-2-2-2-2-210000-11-11-11-1-22-22-22-22000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-24-44-42222-22222-2-2-2-2-210000-11-11-11-1-22-22-22-22000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1054-4-44-4-444-2-2-44-442222-22222-2-2-2-2-210000-11-11-11-12-22-22-22-200000000-11-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1064-4-44-4-444-2-2-44-442222-22222-2-2-2-2-210000-11-11-11-12-22-22-22-200000000-11-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-24-4-442-2-222-2-22222-22-214i−4i4i−4i-1-11-111-1-222-2-222-2−2i2i−2i2i−2i2i−2i2i1-1-11ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-24-4-442-2-222-2-22222-22-21−4i4i−4i4i-1-11-111-1-222-2-222-22i−2i2i−2i2i−2i2i−2i1-1-11−i−iii−i−iii0000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-444-42-2-222-2-22222-22-214i−4i−4i4i-1-11-111-12-2-222-2-22−2i2i−2i2i2i−2i2i−2i-111-1ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-444-42-2-222-2-22222-22-21−4i4i4i−4i-1-11-111-12-2-222-2-222i−2i2i−2i−2i2i−2i2i-111-1−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ11188-888-8-8-8-4-40000-4-44-4-4-4444-4444420000222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-44-4-444-4444-44-44200002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-4000044-44-44-4-4-4-4444420000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-88-8-88-4-400004-4444-44-4-44-44-4420000-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000000000

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