Finite Group Databasebeta

← Group #11819084

Character table — Group #11819084

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121222444444444444446666121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-11
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-11
χ17222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220000222200-1-1-1-100000000-1-1-1-10000-1-1-1-100000000
χ18222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000-2-2-2-20011110000000011110000111100000000
χ19222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1111111112200220000-2-2-2-200-1-1-1-100000000-1-1-1-10000111100000000
χ20222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-111111111-2-200-2-2000022220011110000000011110000-1-1-1-100000000
χ21222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-2-2-1-1111111-1-1-1-111112200-2-2000022-2-200-1-1-1-10000000011110000-1-11100000000
χ22222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-2-2-1-1111111-1-1-1-11111-2-200220000-2-22200111100000000-1-1-1-1000011-1-100000000
χ23222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-22211-1-111111111-1-1-1-12200-2-20000-2-22200-1-1-1-1000000001111000011-1-100000000
χ24222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-22211-1-111111111-1-1-1-1-2-20022000022-2-200111100000000-1-1-1-10000-1-11100000000
χ2522222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220022220000220000-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ2622222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000-2-200001111111100000000000011110000
χ2722222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-111111111002200-2-2-2-20000220000-1-1-1-1-1-1-1-100000000000011110000
χ2822222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-11111111100-2-20022220000-2-2000011111111000000000000-1-1-1-10000
χ2922222222-12-2-2-2-2-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-22-2-1-11122-2-21111-1-1-1-1111100220022-2-20000-2-20000-1-1-1-11111000000000000-1-1110000
χ3022222222-12-2-2-2-2-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-22-2-1-11122-2-21111-1-1-1-1111100-2-200-2-22200002200001111-1-1-1-100000000000011-1-10000
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χ3222222222-12-2-2-2-2-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2-2211-1-1-2-22211111111-1-1-1-100-2-20022-2-200002200001111-1-1-1-1000000000000-1-1110000
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χ4122-2-2-2-2222200002-222-2-2-22-2-22-2-2222-2-2-222-200000000000000000000000000000000002i−2i000000002-20000000022-2-22i2i−2i−2i2i−2i−2i2i000000000000
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χ8844-4-4-4-444-240000-22-24-4-4-4422-22-44-2-2222-2-2200000000000000000000000000000000000000000000-440000000022-2-200000000000000000000
χ894-444-4-4-44-244-44-4222-44-4-4-4-2-2-2244-22-222-22-2-22-224-44-40000000000-22-2200000000000000000000000000000000000000000000000000000000
χ904-444-4-4-44-24-44-44222-44-4-4-4-2-2-2244-22-222-22-22-22-2-44-4400000000002-22-200000000000000000000000000000000000000000000000000000000
χ914-444-4-4-44-2-24-44-42222-2222-2-2-22-2-21-11-1-11-11-22-22-22-22000000−2i32i3−2i32i31-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ924-444-4-4-44-2-24-44-42222-2222-2-2-22-2-21-11-1-11-11-22-22-22-220000002i3−2i32i3−2i31-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ934-444-4-4-44-2-2-44-442222-2222-2-2-22-2-21-11-1-11-112-22-22-22-2000000−2i32i32i3−2i3-11-11i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ944-444-4-4-44-2-2-44-442222-2222-2-2-22-2-21-11-1-11-112-22-22-22-20000002i3−2i3−2i32i3-11-11−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ954-44-44-44-4440000-4-44-44-4444-4-44-4-44-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-44-44-44-20000-4-442-22-2-24-4-4422-22-22-22-220000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ974-44-44-44-44-20000-4-442-22-2-24-4-4422-22-22-22-2200000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ984-44-44-44-4-24000022-2-44-444-222-2-4-4-22-22-22-2200000000000000000000000000000000000000000000000000000023−23−232300000000000000000000
χ994-44-44-44-4-24000022-2-44-444-222-2-4-4-22-22-22-22000000000000000000000000000000000000000000000000000000−232323−2300000000000000000000
χ1004-4-44-444-44-24-4-44-44422-22-2-44-4-4-22-222-222-2-24-4-44-222-20000000000-222-200000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44-2-444-4-44422-22-2-44-4-4-22-222-222-2-2-444-42-2-2200000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-2-24-4-442-2-222-22-22-222-221-1-11-1-111-222-2-222-200−2i32i3−2i32i300001-1-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-24-4-442-2-222-22-22-222-221-1-11-1-111-222-2-222-2002i3−2i32i3−2i300001-1-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-2-444-42-2-222-22-22-222-221-1-11-1-1112-2-222-2-2200−2i32i32i3−2i30000-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1054-4-44-444-4-2-2-444-42-2-222-22-22-222-221-1-11-1-1112-2-222-2-22002i3−2i3−2i32i30000-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ1064-4-4-444-44440000-44-4-4-444-4-4-444-444-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-44-422-2-22-4-4442-2-222-2-2-222000000000000000000000000000000000000000000000000000000000023−23−23230000000000000000
χ1084-4-4-444-444-20000-44-422-2-22-4-4442-2-222-2-2-2220000000000000000000000000000000000000000000000000000000000−232323−230000000000000000
χ1094-4-4-444-44-2400002-22-4-444-422-2-2-44-222-2-2-2220000000000000000000000000000000000000000000000000023−23−2323000000000000000000000000
χ1104-4-4-444-44-2400002-22-4-444-422-2-2-44-222-2-2-22200000000000000000000000000000000000000000000000000−232323−23000000000000000000000000
χ111888-8-88-8-8-4-40000-4-44-4-4-444-4444442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-40000-44-4-4444-444-444-422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-88-8-4-4000044-44-44-4-4-444-4442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-400004-4444-4-4444-4-44-42-2-2222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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