Finite Group Databasebeta

← Group #11888584

Character table — Group #11888584

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222222244444444444444444444448888888888888888888888888888888888888888161616161616161618183636363636363672727272
order1222333344666666666666244466666666881212121212121212444812121212121212121212121212121212121212122424242424242424242424242424242412121212121212124422244882448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1111111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-11
χ611111111111111111111111-1-11111111111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1
χ711111111111111111111111-1-1111111111-1-111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1
χ811111111111111111111111-1-1111111111-1-111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-11
χ91111111111111111111111-111-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-11-1-1
χ101111111111111111111111-111-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-111
χ111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1111
χ121111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111111-1-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111-11-1
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-11-11
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11-1-11
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-111-1
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χ392222-1-12-122-1-12-1-1-1-1-122-1-12-2-22-1-1-1-122-1-122-1-1-1-122-1-1-2-2-22-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000
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χ884-4-444-2-2-2-44-42224-4-22-22-2200000000000000-442-22-22-200000000000000000023−2323−2323−230000000000000000000000000000000000000
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χ904-4-44-24-2-24-42-422-224-4-22-2204i−4i00000000000-224-4-22-2200000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000000000000000000000
χ914-4-44-24-2-24-42-422-224-4-22-220−4i4i00000000000-224-4-22-22000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000
χ924-4-44-24-2-2-442-422-224-4-22-22000000000000002-2-442-22-2000000000000000023−230023−23−23230000000000000000000000000000000000000
χ934-4-44-24-2-2-442-422-224-4-22-22000000000000002-2-442-22-20000000000000000−232300−232323−230000000000000000000000000000000000000
χ944-4-44-2-24-24-422-42-22-224-4-2204i−4i00000000000-22-224-4-2200000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000000000000000
χ954-4-44-2-24-24-422-42-22-224-4-220−4i4i00000000000-22-224-4-22000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000000000000000
χ964-4-44-2-24-2-4422-42-22-224-4-22000000000000002-22-2-442-2000000000000000023−23−23230023−230000000000000000000000000000000000000
χ974-4-44-2-24-2-4422-42-22-224-4-22000000000000002-22-2-442-20000000000000000−232323−2300−23230000000000000000000000000000000000000
χ984-4-44-2-2-244-4222-4-22-22-224-404i−4i00000000000-22-22-224-400000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000000000000000
χ994-4-44-2-2-244-4222-4-22-22-224-40−4i4i00000000000-22-22-224-4000000002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000000000000000
χ1004-4-44-2-2-24-44222-4-22-22-224-4000000000000002-22-22-2-44000000000000000023−2323−23−2323000000000000000000000000000000000000000
χ1014-4-44-2-2-24-44222-4-22-22-224-4000000000000002-22-22-2-440000000000000000−2323−232323−23000000000000000000000000000000000000000
χ1028-88-88-4-4-4008-4-4-4-8-844444400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4-400-48-4-444-8-8444400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-400-4-48-44444-8-84400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4800-4-4-48444444-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000

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