Finite Group Databasebeta

← Group #11794587

Character table — Group #11794587

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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χ12222222222-1222222222-1-1-12-1-1-1-12-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-1222222222-1-1-12-1-1-1-12-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
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χ954-4-444-44-44-20000-4-444-422-2-4-2-2224-222-2-222-200000000000000000000000000000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ964-4-444-44-4-24000022-2-22-4-44244-4-4-2-222-2-222-2000000000000000000000000000000000022−2222−2200000000−222−22−2−22000000000000000000
χ974-4-444-44-4-24000022-2-22-4-44244-4-4-2-222-2-222-20000000000000000000000000000000000−2222−2222000000002−2−22−222−2000000000000000000
χ984-4-4-444-444-24-4-44-4-44-4422242-2-2-2-4-222-22-2-224-4-4-222-240000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-444-444-2-444-4-4-44-4422242-2-2-2-4-222-22-2-22-4442-2-22-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-444-44-24-444-422-22-2-4-4-4-2-44442-222-22-2-222-2-2-444-4200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-24-4-4422-22-2222-22-2-2-221-1-11-111-1-222-222-2-200000023−23−23231-1-11−333−3−333−3000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-24-4-4422-22-2222-22-2-2-221-1-11-111-1-222-222-2-2000000−232323−231-1-113−3−333−3−33000000000000000000000000000000000000000000
χ1034-4-4-444-44-2-2-444-422-22-2222-22-2-2-221-1-11-111-12-2-22-2-2220000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-4-444-44-2-2-444-422-22-2222-22-2-2-221-1-11-111-12-2-22-2-2220000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ105888-88-8-8-8-4-40000-4-4-444-4-4444-44442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-4444-4-4444-44-44-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-400004-44-4-44-4-4444-4442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-88-8-4-4000044-4-4444-44-4-444-42-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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