Finite Group Databasebeta

← Group #11795404

Character table — Group #11795404

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888822
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
χ92222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ102222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ11222222222-1222222222-1-12-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ12222222222-1222222222-1-12-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-1222222222-1-12-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ14222222222-1222222222-1-12-1-1-1-1-12-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ15222222222-1-2-2-2-222222-1-12-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-21111-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i322-2-20000-1-1-1-11111000000000000−i3−i3i3i30000000000
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χ17222222222-1-2-2-2-222222-1-12-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-21111-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i322-2-20000-1-1-1-11111000000000000i3i3−i3−i30000000000
χ18222222222-1-2-2-2-222222-1-12-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-21111-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i3-2-22200001111-1-1-1-1000000000000−i3−i3i3i30000000000
χ1922222222-122222-1-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
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χ432-2-2222-2-22-12-22-2-2-2-222112-11-1-11-2-1111-1-1-112-2-2-11-1122i−2i−ii−ii2i−2i2i−2i-11-11−ii−ii−ii−ii00000000−i3i3−i3i3−i3i3−i3i30000000000003−3−330000000000
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χ452-2-2222-2-22-12-22-2-2-2-222112-11-1-11-2-1111-1-1-112-2-2-11-112−2i2ii−ii−i−2i2i−2i2i-11-11i−ii−ii−ii−i00000000−i3i3−i3i3−i3i3−i3i3000000000000−333−30000000000
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χ934-4-4444-4-4-24-44-44222-2-2-4-4-24-444-42-2222-2-2-222-2-2-44-44200000000002-22-200000000000000000000000000000000000000000000000000
χ944-4-4444-4-4-2-24-44-4222-2-222-2-22-2-2221-1-1-1111-1-222-22-22-24i−4i−2i2i−2i2i−2i2i−2i2i1-11-1i−ii−ii−ii−i000000000000000000000000000000000000000000
χ954-4-4444-4-4-2-24-44-4222-2-222-2-22-2-2221-1-1-1111-1-222-22-22-2−4i4i2i−2i2i−2i2i−2i2i−2i1-11-1−ii−ii−ii−ii000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-2-44-44222-2-222-2-22-2-2221-1-1-1111-12-2-22-22-220023−23−23230000-11-11−33−333−33−3000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-2-44-44222-2-222-2-22-2-2221-1-1-1111-12-2-22-22-2200−232323−230000-11-113−33−3−33−33000000000000000000000000000000000000000000
χ984-4-44-4-4444-24-4-44-4-44-4-4224-2-222-24-222-222-2-24-44-222-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-44-4-4444-2-444-4-4-44-4-4224-2-222-24-222-222-2-2-44-42-2-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-244-4-4422-222-4-4-244-4-44-2-222-222-2-2-22-24-4-4420000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-24-4-4422-22222-2-2-222-2-21-1-11-1-111-22-2-222-2200000000001-1-113-3-33-333-3000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-24-4-4422-22222-2-2-222-2-21-1-11-1-111-22-2-222-2200000000001-1-11-333-33-3-33000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-2-444-422-22222-2-2-222-2-21-1-11-1-1112-222-2-22-2000000−2i32i32i3−2i3-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-2-444-422-22222-2-2-222-2-21-1-11-1-1112-222-2-22-20000002i3−2i3−2i32i3-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ10588-8-88-88-8-4-40000-44-4-44-44444-44-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-40000-4444-4-4444-44-44-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-400004-44-444-444-4-444-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-888-8-4-400004-4-44-44-44444-4-442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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