Finite Group Databasebeta

← Group #11794585

Character table — Group #11794585

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
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
χ11222222222-122222222-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000022000000-1-1-1-1000000
χ12222222222-122222222-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20000001111000000
χ13222222222-122222222-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20000001111000000
χ14222222222-122222222-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000111111110000000022000000-1-1-1-1000000
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χ2022222222-122222-1-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-211110000000000
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χ3122-22-22-2-22-122-2-22-2-22-11-12-2111-2-1-1-111-11-1122-2-1-111-20000003−3−33-1-11133−3−3−3−333000000003−33−333−3−3000000002-2000000-11-11000000
χ3222-22-22-2-22-122-2-22-2-22-11-12-2111-2-1-1-111-11-1122-2-1-111-20000003−3−33-1-11133−3−3−3−33300000000−33−33−3−33300000000-220000001-11-1000000
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χ944-4-444-4-444-20000-4-44422-2-44-2-22-42-222-2-222-2000000000000000000000000000000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ954-4-444-4-444-20000-4-44422-2-44-2-22-42-222-2-222-200000000000000000000000000000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ964-4-444-4-44-24000022-2-2-4-442-244-42-4-222-2-222-20000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2−i2i2−i2i2i2−i2000000000000000000
χ974-4-444-4-44-24000022-2-2-4-442-244-42-4-222-2-222-200000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2i2−i2i2−i2−i2i2000000000000000000
χ984-4-4-4444-44-24-4-44-4-44-42224-42-2-24-2-222-22-2-224-4-4-222-240000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-4444-44-2-444-4-4-44-42224-42-2-24-2-222-22-2-22-4442-2-22-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-244-4-4422-22-4-4-4-22-444-24-222-22-2-22-2224-4-44-20000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-24-4-4422-22222-222-2-2-2-21-1-11-111-1-222-222-2-200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-24-4-4422-22222-222-2-2-2-21-1-11-111-1-222-222-2-200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-444-422-22222-222-2-2-2-21-1-11-111-12-2-22-2-2220023−23−23230000-111-1−333−3−333−3000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-444-422-22222-222-2-2-2-21-1-11-111-12-2-22-2-22200−232323−230000-111-13−3−333−3−33000000000000000000000000000000000000000000
χ105888-88-8-8-8-4-40000-4-4-44-4-44444-44442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-4444-4444-4-44-4-4422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-400004-44-44-4-44444-4-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-4000044-4-444-44-4-4-44442-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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