Finite Group Databasebeta

← Group #11794068

Character table — Group #11794068

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444422
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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χ12222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ14222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
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χ894-44-444-4-4-24-44-4422-2-22-4-44-442-44-2-222-2-22-22-44-42-224-200000000002-22-200000000000000000000000000000000000000000000000000
χ904-44-444-4-4-2-24-44-422-2-2222-22-222-2-21-1-111-11-1-22-2-22-2224i−4i−2i2i−2i2i−2i2i−2i2i1-11-1i−ii−ii−ii−i000000000000000000000000000000000000000000
χ914-44-444-4-4-2-24-44-422-2-2222-22-222-2-21-1-111-11-1-22-2-22-222−4i4i2i−2i2i−2i2i−2i2i−2i1-11-1−ii−ii−ii−ii000000000000000000000000000000000000000000
χ924-44-444-4-4-2-2-44-4422-2-2222-22-222-2-21-1-111-11-12-222-22-2-20000000000-11-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ934-44-444-4-4-2-2-44-4422-2-2222-22-222-2-21-1-111-11-12-222-22-2-20000000000-11-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ944-4-444-4-44440000-4-44-44-4-4-44-4444-44-4-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-444-4-444-20000-4-44-44222-224-2-2-4-222-22-22-200000000000000000000000000000000000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000
χ964-4-444-4-444-20000-4-44-44222-224-2-2-4-222-22-22-200000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ974-4-444-4-44-24000022-22-2-4-4-44-4-2442-222-22-22-200000000000000000000000000000000000000000000006−66−6−66−66000000000000000000
χ984-4-444-4-44-24000022-22-2-4-4-44-4-2442-222-22-22-20000000000000000000000000000000000000000000000−66−666−66−6000000000000000000
χ994-4-4-4-44444-2-444-4-44-4-442-22-2-2-4224-22-222-2-222-2-2-4442-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-244-4-442-222-2-44-4442-4-4-2-22-222-2-224-4-4-2224-20000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-24-4-442-222-22-22-2-2222-21-11-1-111-1-222-222-2-200000023−23−23231-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-24-4-442-222-22-22-2-2222-21-11-1-111-1-222-222-2-2000000−232323−231-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-2-444-42-222-22-22-2-2222-21-11-1-111-12-2-22-2-2220023−23−23230000-111-1−333−3−333−3000000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-2-444-42-222-22-22-2-2222-21-11-1-111-12-2-22-2-22200−232323−230000-111-13−3−333−3−33000000000000000000000000000000000000000000
χ105888-8-8-8-88-4-40000-444-4-4-44-4-44444422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-40000-4-4-444-4-444444-442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-400004-44-444-4-444-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-4000044-44-4444-44-4-4-442-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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