Finite Group Databasebeta

← Group #11856278

Character table — Group #11856278

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122222223344446666666666666636666666121212121212121222222222444444444412121212121212121212121212121212121212126666666612121212121212122222444424446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-11
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-111-1-111-1-11-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-111-1-111-11
χ17222222222-12222222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-12222-1-1-1-100002222000022222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-10000-1-1-1-1000000002002-1-10000-1-100
χ18222222222-12222222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-12222-1-1-1-10000222200002222-2-2-2-211-2-2111111-1-1-1-111110000-1-1-1-10000-1-1-1-100000000-200-21100001100
χ19222222222-12222222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-20000-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011110000111100000000-200-21100001100
χ20222222222-12222222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-20000-2-2-2-2-2-2-2-211-2-2111111-1-1-1-111110000111100001111000000002002-1-10000-1-100
χ21222222222-1-2-2-2-2222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-2-2-2-21111000022220000-2-2-2-22-222-1-1-2-211-1-1-1-1111111110000-1-1-1-10000111100000000-2002110000-1-100
χ22222222222-1-2-2-2-2222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-2-2-2-21111000022220000-2-2-2-2-22-2-21122-1-111111111-1-1-1-10000-1-1-1-10000111100000000200-2-1-100001100
χ23222222222-1-2-2-2-2222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2-2-2-2000022222-222-1-1-2-211-1-1-1-111111111000011110000-1-1-1-100000000200-2-1-100001100
χ24222222222-1-2-2-2-2222-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2-2-2-200002222-22-2-21122-1-111111111-1-1-1-1000011110000-1-1-1-100000000-2002110000-1-100
χ2522222222-122222-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222222200002222000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1000000000000022000-1-1-1-10000
χ2622222222-122222-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-122222222000022220000-2-211-2-211-2-21111-1-1-1-11111-1-1-1-10000-1-1-1-10000000000000-2-200011110000
χ2722222222-122222-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-2000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-11111000011110000000000000-2-200011110000
χ2822222222-122222-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-20000-2-211-2-211-2-21111-1-1-1-11111111100001111000000000000022000-1-1-1-10000
χ2922222222-12-2-2-2-2-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-222220000-2-2-2-200002-2-1-12211-2-2-1-1-1-111111111-1-1-1-10000111100000000000002-2000-1-1110000
χ3022222222-12-2-2-2-2-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-222220000-2-2-2-20000-2211-2-2-1-12211111111-1-1-1-1-1-1-1-1000011110000000000000-2200011-1-10000
χ3122222222-12-2-2-2-2-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-20000222200002-2-1-12211-2-2-1-1-1-11111111111110000-1-1-1-10000000000000-2200011-1-10000
χ3222222222-12-2-2-2-2-1-1-12222-12-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2000022220000-2211-2-2-1-12211111111-1-1-1-111110000-1-1-1-100000000000002-2000-1-1110000
χ33222-2-22-2-2222i2i−2i−2i2-2-222-2-2222-2-2-2-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002i2i−2i−2i0000000000000000000022-2-22i2i−2i−2i00000000000000
χ34222-2-22-2-2222i2i−2i−2i2-2-222-2-2222-2-2-2-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002i2i−2i−2i00000000000000000000-2-222−2i−2i2i2i00000000000000
χ35222-2-22-2-222−2i−2i2i2i2-2-222-2-2222-2-2-2-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−2i−2i2i2i0000000000000000000022-2-2−2i−2i2i2i00000000000000
χ36222-2-22-2-222−2i−2i2i2i2-2-222-2-2222-2-2-2-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−2i−2i2i2i00000000000000000000-2-2222i2i−2i−2i00000000000000
χ3722-22-2-22-2222i−2i2i−2i-22-2-2-22222-22-2-2-22-2-222-22-22i−2i2i−2i2i−2i2i−2i22-2-200002i2i−2i−2i0000000000000000002i−2i2i−2i000022-2-200002i2i−2i−2i00000000000000000000000000
χ3822-22-2-22-2222i−2i2i−2i-22-2-2-22222-22-2-2-22-2-222-22-22i−2i2i−2i2i−2i2i−2i-2-2220000−2i−2i2i2i0000000000000000002i−2i2i−2i0000-2-2220000−2i−2i2i2i00000000000000000000000000
χ3922-22-2-22-222−2i2i−2i2i-22-2-2-22222-22-2-2-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i22-2-20000−2i−2i2i2i000000000000000000−2i2i−2i2i000022-2-20000−2i−2i2i2i00000000000000000000000000
χ4022-22-2-22-222−2i2i−2i2i-22-2-2-22222-22-2-2-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i-2-22200002i2i−2i−2i000000000000000000−2i2i−2i2i0000-2-22200002i2i−2i−2i00000000000000000000000000
χ4122-22-2-22-2-122i−2i2i−2i1-11-2-222-121-1-21-2-111-1-11-11−ii−ii2i−2i2i−2i22-2-200002i2i−2i−2i000000−i3i3003−300−i3−i3i3i3−ii−ii33−3−3-1-1110000−i−iii000000000000000000−i3i33−30000
χ4222-22-2-22-2-122i−2i2i−2i1-11-2-222-121-1-21-2-111-1-11-11−ii−ii2i−2i2i−2i22-2-200002i2i−2i−2i000000i3−i300−3300i3i3−i3−i3−ii−ii−3−333-1-1110000−i−iii000000000000000000i3−i3−330000
χ4322-22-2-22-2-122i−2i2i−2i1-11-2-222-121-1-21-2-111-1-11-11−ii−ii2i−2i2i−2i-2-2220000−2i−2i2i2i000000−i3i3003−300−i3−i3i3i3−ii−ii33−3−311-1-10000ii−i−i000000000000000000i3−i3−330000
χ4422-22-2-22-2-122i−2i2i−2i1-11-2-222-121-1-21-2-111-1-11-11−ii−ii2i−2i2i−2i-2-2220000−2i−2i2i2i000000i3−i300−3300i3i3−i3−i3−ii−ii−3−33311-1-10000ii−i−i000000000000000000−i3i33−30000
χ4522-22-2-22-2-12−2i2i−2i2i1-11-2-222-121-1-21-2-111-1-11-11i−ii−i−2i2i−2i2i22-2-20000−2i−2i2i2i000000−i3i300−3300−i3−i3i3i3i−ii−i−3−333-1-1110000ii−i−i000000000000000000−i3i3−330000
χ4622-22-2-22-2-12−2i2i−2i2i1-11-2-222-121-1-21-2-111-1-11-11i−ii−i−2i2i−2i2i22-2-20000−2i−2i2i2i000000i3−i3003−300i3i3−i3−i3i−ii−i33−3−3-1-1110000ii−i−i000000000000000000i3−i33−30000
χ4722-22-2-22-2-12−2i2i−2i2i1-11-2-222-121-1-21-2-111-1-11-11i−ii−i−2i2i−2i2i-2-22200002i2i−2i−2i000000−i3i300−3300−i3−i3i3i3i−ii−i−3−33311-1-10000−i−iii000000000000000000i3−i33−30000
χ4822-22-2-22-2-12−2i2i−2i2i1-11-2-222-121-1-21-2-111-1-11-11i−ii−i−2i2i−2i2i-2-22200002i2i−2i−2i000000i3−i3003−300i3i3−i3−i3i−ii−i33−3−311-1-10000−i−iii000000000000000000−i3i3−330000
χ4922-2-22-2-22222-2-22-2-22-2-2-2-222-2-22222-2-2-2-22222-2-222-2-22000022-2-2000022-2-2000000000000002-2-220000000022-2-2000022-2-20000000000000000000000
χ5022-2-22-2-22222-2-22-2-22-2-2-2-222-2-22222-2-2-2-22222-2-222-2-220000-2-2220000-2-222000000000000002-2-2200000000-2-2220000-2-2220000000000000000000000
χ5122-2-22-2-2222-222-2-2-22-2-2-2-222-2-22222-2-2-2-2222-222-2-222-2000022-2-20000-2-22200000000000000-222-20000000022-2-20000-2-2220000000000000000000000
χ5222-2-22-2-2222-222-2-2-22-2-2-2-222-2-22222-2-2-2-2222-222-2-222-20000-2-222000022-2-200000000000000-222-200000000-2-222000022-2-20000000000000000000000
χ5322-2-22-2-222-12-2-22-2-2211112-1-2-2-12-1-11111-1-1-12-2-22-111-1000022-2-2000022-2-20000−i3i300−i3i3−i3i3−i3i3-111-1−i3i3−i3i30000-1-1110000-1-111000000000000−i3i30000−i3i300
χ5422-2-22-2-222-12-2-22-2-2211112-1-2-2-12-1-11111-1-1-12-2-22-111-1000022-2-2000022-2-20000i3−i300i3−i3i3−i3i3−i3-111-1i3−i3i3−i30000-1-1110000-1-111000000000000i3−i30000i3−i300
χ5522-2-22-2-222-12-2-22-2-2211112-1-2-2-12-1-11111-1-1-12-2-22-111-10000-2-2220000-2-2220000−i3i300−i3i3−i3i3−i3i3-111-1−i3i3−i3i3000011-1-1000011-1-1000000000000i3−i30000i3−i300
χ5622-2-22-2-222-12-2-22-2-2211112-1-2-2-12-1-11111-1-1-12-2-22-111-10000-2-2220000-2-2220000i3−i300i3−i3i3−i3i3−i3-111-1i3−i3i3−i3000011-1-1000011-1-1000000000000−i3i30000−i3i300
χ5722-2-22-2-222-1-222-2-2-2211112-1-2-2-12-1-11111-1-1-1-222-21-1-11000022-2-20000-2-2220000−i3i300i3−i3−i3i3−i3i31-1-11i3−i3i3−i30000-1-111000011-1-1000000000000i3−i30000−i3i300
χ5822-2-22-2-222-1-222-2-2-2211112-1-2-2-12-1-11111-1-1-1-222-21-1-11000022-2-20000-2-2220000i3−i300−i3i3i3−i3i3−i31-1-11−i3i3−i3i30000-1-111000011-1-1000000000000−i3i30000i3−i300
χ5922-2-22-2-222-1-222-2-2-2211112-1-2-2-12-1-11111-1-1-1-222-21-1-110000-2-222000022-2-20000−i3i300i3−i3−i3i3−i3i31-1-11i3−i3i3−i3000011-1-10000-1-111000000000000−i3i30000i3−i300
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χ652-22-2-2-222220000-22-22-2-22-2-22-2-22222-2-22-2-22000000002-22-22-22-20000000000000000000000000000002-22-22-22-2000000002-2-22000000000000000000
χ662-22-2-2-222220000-22-22-2-22-2-22-2-22222-2-22-2-22000000002-22-2-22-220000000000000000000000000000002-22-2-22-2200000000-222-2000000000000000000
χ672-22-2-2-222220000-22-22-2-22-2-22-2-22222-2-22-2-2200000000-22-222-22-2000000000000000000000000000000-22-222-22-200000000-222-2000000000000000000
χ682-22-2-2-222220000-22-22-2-22-2-22-2-22222-2-22-2-2200000000-22-22-22-22000000000000000000000000000000-22-22-22-22000000002-2-22000000000000000000
χ692-2-22-22-222200002-2-2-222-2-2-2-22-2222-222-2-2-220000000000002-2-222-2-220000000000000000000000000000002-2-222-2-22000000002-22-200000000000000
χ702-2-22-22-222200002-2-2-222-2-2-2-22-2222-222-2-2-220000000000002-2-22-222-20000000000000000000000000000002-2-22-222-200000000-22-2200000000000000
χ712-2-22-22-222200002-2-2-222-2-2-2-22-2222-222-2-2-22000000000000-222-22-2-22000000000000000000000000000000-222-22-2-2200000000-22-2200000000000000
χ722-2-22-22-222200002-2-2-222-2-2-2-22-2222-222-2-2-22000000000000-222-2-222-2000000000000000000000000000000-222-2-222-2000000002-22-200000000000000
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χ9044-44-4-44-44-2−4i4i−4i4i-44-422-2-24-2-442-42-222-2-22-22−4i4i−4i4i2i−2i2i−2i0000000000000000000000000000002i−2i2i−2i000000000000000000000000000000000000000000
χ9144-44-4-44-4-2-24i−4i4i−4i2-2222-2-2-2-22-22221-1-111-11-1−2i2i−2i2i−2i2i−2i2i000000000000000000−2i32i30023−2300i3i3−i3−i3i−ii−i−3−33300000000000000000000000000000000000000
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χ1034-4444-4-4-4-24000022-24-44-42-4-2-242-4-2-22-22-22200000000000000004i−4i4i−4i0000000000000000000000000000000000−2i2i−2i2i00000000000000000000000000
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χ1054-44-4-4-4444-20000-44-4-222-2-424-424-2-2-222-222-20000000000004-44-40000000000000000000000000000000000-22-22000000000000000000000000000000
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χ1208-8-8-8888-8-4-40000-4-4-44-44-44444-4442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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