Finite Group Databasebeta

← Group #11794659

Character table — Group #11794659

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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χ102222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ11222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
χ12222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-200001111000000
χ13222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-10000000000-2-200001111000000
χ14222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
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χ924-44-44-44-44-20000-444-4-22-2-42-4-2242-2-22-2-2222000000000000000000000000000000004-400000000-2-22200000000000000000000000000
χ934-44-44-44-44-20000-444-4-22-2-42-4-2242-2-22-2-222200000000000000000000000000000000-440000000022-2-200000000000000000000000000
χ944-44-44-44-4-2400002-2-224-442-424-4-2-4-2-22-2-22220000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2000000000000000000
χ954-44-44-44-4-2400002-2-224-442-424-4-2-4-2-22-2-222200000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2000000000000000000
χ964-4-4444-4-4-244-4-4422-2-2-4-4-4-242442-4-2222-2-2-22-22-24-4-4420000000000-222-200000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-24-4-4422-2-2222-2-22-2-2221-1-1-1111-1-22-2-222-2200000023−23−23231-1-11−333−33−3−33000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-24-4-4422-2-2222-2-22-2-2221-1-1-1111-1-22-2-222-22000000−232323−231-1-113−3−33−333−3000000000000000000000000000000000000000000
χ994-4-4444-4-4-2-2-444-422-2-2222-2-22-2-2221-1-1-1111-12-222-2-22-24i−4i−2i2i2i−2i−2i2i−2i2i-111-1i−i−iii−i−ii000000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-2-444-422-2-2222-2-22-2-2221-1-1-1111-12-222-2-22-2−4i4i2i−2i−2i2i2i−2i2i−2i-111-1−iii−i−iii−i000000000000000000000000000000000000000000
χ1014-4-4-4-44444-20000-4-4-44-222-4242-24-2-2-2222-22-20000000000000000000000000000004-4000000-22-22000000000000000000000000000000
χ1024-4-4-4-44444-20000-4-4-44-222-4242-24-2-2-2222-22-2000000000000000000000000000000-440000002-22-2000000000000000000000000000000
χ1034-4-4-4-4444-240000222-24-4-42-4-2-44-24-2-2222-22-2000000000000000000000000000000000022−22−222200000000−22−222−22−2000000000000000000
χ1044-4-4-4-4444-240000222-24-4-42-4-2-44-24-2-2222-22-20000000000000000000000000000000000−222222−22000000002−22−2−22−22000000000000000000
χ105888-8-88-8-8-4-40000-4-44-44-4-44444-4442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-40000-44-444-4444-4-444-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-400004-4-44-44-4444-44-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8-8888-4-40000444-4-44444-44-4-4-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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