Finite Group Databasebeta

← Group #11811918

Character table — Group #11811918

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12222222334444666666666666663666666612121212121212124444441212121212121212121212121212121212121212222222444466661212121212121212121212124466661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1-111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-11111-1-1
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-1-1-111
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-111
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-111-1-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1
χ17222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222200002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100222222220000-1-1-1-1-1-1-1-1000000-1-1-1-1000000000000
χ18222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222200002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000111111110000001111000000000000
χ19222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-211-2-211-1-1-1-111111111002222-2-2-2-2000011111111000000-1-1-1-1000000000000
χ20222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-211-2-211-1-1-1-11111111100-2-2-2-222220000-1-1-1-1-1-1-1-10000001111000000000000
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χ23222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-20000-22-2-21122-1-111111111-1-1-1-10022-2-2-2-22200001111-1-1-1-1000000-1-111000000000000
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χ2522222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-100000000-1-1-1-1220000-1-1-1-100000000
χ2622222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-12222-2-211-2-211-2-2-1-1-1-1111111112200000000-1-1-1-100000000-1-1-1-1-2-20000111100000000
χ2722222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111000000001111-2-20000111100000000
χ2822222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-211-2-211-2-2-1-1-1-111111111-2-2000000001111000000001111220000-1-1-1-100000000
χ2922222222-12-2-2-2-2-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111122222-2-1-12211-2-21111-1-1-1-11111-2-200000000111100000000-1-1-1-12-20000-1-11100000000
χ3022222222-12-2-2-2-2-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2211-2-2-1-12211111111-1-1-1-1-2-200000000111100000000-1-1-1-1-22000011-1-100000000
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χ904-444-44-4-44-20000-444-4-42-2224-2-22-4-22-2-2222-2000000000000000000000000000000000000000000-440000000022-2-20000000000000000000000
χ914-444-44-4-4-2400002-2-222-44-4-4-244-42-22-2-2222-2000000004i−4i4i−4i00000000000000000000000000000000000000000000−2i2i−2i2i000000000000000000
χ924-444-44-4-4-2400002-2-222-44-4-4-244-42-22-2-2222-200000000−4i4i−4i4i000000000000000000000000000000000000000000002i−2i2i−2i000000000000000000
χ934-44-44-44-44-20000-4-4-44422-224-22-2-4-2222-2-22-200000000000000000000000000000000000000004-4000000-2-22200000000000000000000000000
χ944-44-44-44-44-20000-4-4-44422-224-22-2-4-2222-2-22-20000000000000000000000000000000000000000-4400000022-2-200000000000000000000000000
χ954-44-44-44-4-240000222-2-2-4-44-4-24-442-2222-2-22-2000000004i−4i−4i4i00000000000000000000000000000000000000000000−2i2i2i−2i000000000000000000
χ964-44-44-44-4-240000222-2-2-4-44-4-24-442-2222-2-22-200000000−4i4i4i−4i000000000000000000000000000000000000000000002i−2i−2i2i000000000000000000
χ974-4-444-4-444-24-44-4-44-44-4222-2-42-2-24-22-22-22-22-22-224-44-400000000000000-22-220000000000000000000000000000000000000000000000000000
χ984-4-444-4-444-2-44-44-44-44-4222-2-42-2-24-22-22-22-222-22-2-44-44000000000000002-22-20000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-244-44-42-22-22-4-4-442-444-2-22-22-22-224-44-4-22-2200000000000000-22-220000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-24-44-442-22-22-4-4-442-444-2-22-22-22-22-44-442-22-2000000000000002-22-20000000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-2-24-44-42-22-22222-222-2-2-21-11-11-11-1-22-22-22-22000000000000001-11-13i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1024-4-444-4-44-2-24-44-42-22-22222-222-2-2-21-11-11-11-1-22-22-22-22000000000000001-11-1−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1034-4-444-4-44-2-2-44-442-22-22222-222-2-2-21-11-11-11-12-22-22-22-200000000000000-11-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1044-4-444-4-44-2-2-44-442-22-22222-222-2-2-21-11-11-11-12-22-22-22-200000000000000-11-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1054-4-4-4-4444-244-4-4422-22-2-44442-4-4-4-2-222-22-2-224-4-44-222-200000000000000-222-20000000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-24-444-422-22-2-44442-4-4-4-2-222-22-2-22-444-42-2-22000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-24-4-4422-22-22-2-2-22222-21-1-11-111-1-222-2-222-20000000023−230023−231-1-11−33−33−33−3300000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-24-4-4422-22-22-2-2-22222-21-1-11-111-1-222-2-222-200000000−232300−23231-1-113−33−33−33−300000000000000000000000000000000000000000000
χ1094-4-4-4-4444-2-2-444-422-22-22-2-2-22222-21-1-11-111-12-2-222-2-220000000023−2300−2323-111-1−33−333−33−300000000000000000000000000000000000000000000
χ1104-4-4-4-4444-2-2-444-422-22-22-2-2-22222-21-1-11-111-12-2-222-2-2200000000−23230023−23-111-13−33−3−33−3300000000000000000000000000000000000000000000
χ11188-88-8-88-8-4-40000-4-444-4-44-4444-444222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-4-40000-44-4-44-4-444444-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-400004-4-4444-444-4-4-4442-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-88-88-8-4-40000444-4-444-44-4-44-442-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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