Finite Group Databasebeta

← Group #11795119

Character table — Group #11795119

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
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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χ12222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20000001111000000
χ13222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20000001111000000
χ14222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000111111110000000022000000-1-1-1-1000000
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χ292222-2-2-2-2-122-22-2-1-11122-2-121-2-21-2-1-1-1111-11-11122-2-2-100−3−3330000-1-111−3−333−3−333000022-2-200000000-1-1-1-111110000−3−3330000000000
χ302222-2-2-2-2-122-22-2-1-11122-2-121-2-21-2-1-1-1111-11-11122-2-2-100−3−3330000-1-111−3−333−3−3330000-2-222000000001111-1-1-1-1000033−3−30000000000
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χ924-44-4-444-4-2400002-222-44-42-4-2-44-24-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ934-4-444-44-4-24-444-422-22-4-4-4-24244-2-4-222-2-22-2222-2-44-44-200000000002-22-200000000000000000000000000000000000000000000000000
χ944-4-444-44-4-2-24-4-4422-22222-2-22-2-2-221-1-111-11-1-2-22-22-2224i−4i−2i2i−2i2i−2i2i−2i2i1-11-1i−ii−ii−ii−i000000000000000000000000000000000000000000
χ954-4-444-44-4-2-24-4-4422-22222-2-22-2-2-221-1-111-11-1-2-22-22-222−4i4i2i−2i2i−2i2i−2i2i−2i1-11-1−ii−ii−ii−ii000000000000000000000000000000000000000000
χ964-4-444-44-4-2-2-444-422-22222-2-22-2-2-221-1-111-11-122-22-22-2-200000023−23−2323-11-11−33−333−33−3000000000000000000000000000000000000000000
χ974-4-444-44-4-2-2-444-422-22222-2-22-2-2-221-1-111-11-122-22-22-2-2000000−232323−23-11-113−33−3−33−33000000000000000000000000000000000000000000
χ984-4-44-44-444-244-4-4-4-4-4422-24-2422-4-2-22222-2-2-24-44-222-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-44-44-444-2-4-444-4-4-4422-24-2422-4-2-22222-2-2-2-44-42-2-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-44-44-44-24-4-444222-2-4-44-24-2-4-424-22222-2-2-22-22-444-4-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-2-244-4-4222-222-2-2-2-2222-21-1-1-1-1111-22-2-222-2200−2i32i32i3−2i300001-1-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1024-4-44-44-44-2-244-4-4222-222-2-2-2-2222-21-1-1-1-1111-22-2-222-22002i3−2i3−2i32i300001-1-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1034-4-44-44-44-2-2-4-444222-222-2-2-2-2222-21-1-1-1-11112-222-2-22-20000000000-111-13-3-33-333-3000000000000000000000000000000000000000000
χ1044-4-44-44-44-2-2-4-444222-222-2-2-2-2222-21-1-1-1-11112-222-2-22-20000000000-111-1-333-33-3-33000000000000000000000000000000000000000000
χ10588-8-888-8-8-4-40000-44-44-44444-4-444-422-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-444-4-44-44444-4-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-400004-4-4-44-4-4444-44442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-888-8-4-400004-4444-4444-44-4-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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