Finite Group Databasebeta

← Group #11794028

Character table — Group #11794028

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12222222334444666666666666663666666612121212121212124412121212121212121212121212121212121212124444888812121212121212122424242424242424222266666666888844
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
χ11222222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ12222222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ14222222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
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χ18222222222-1-2-2-2-222222-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i3-2-22200001111-1-1-1-1000000000000−i3−i3i3i30000000000
χ1922222222-122222-1-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
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χ2822-222-2-2-22222-2-22-2-2-2-22-2-22222-2-222-2-2-2-22222-222-2-2-2000000000022-2-2000000000000000000000000000000000000000000000000−2i2i
χ2922-222-2-2-222-2-2222-2-2-2-22-2-22222-2-222-2-2-2-222-2-22-2-22220000000000-2-22200000000000000000000000000000000002-2000022-2-2000000
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χ432-222-2-2-222-1-22-22-22-22-21-1-12-1-2111-11-11-11-11-22-21-11-120000003−3−331-11-13−33−3−33−330000000033−3−3−33−33000000002-200-11-110000000000
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χ934-44-44-44-4-2400002-222-2-44-42-4-24-44-22-222-22-20000000000000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000
χ944-4-44-444-44-24-4-44-4-44-442224-2-42-2-2-222-22-2-224-4-4-222-240000000000-222-200000000000000000000000000000000000000000000000000
χ954-4-44-444-44-2-444-4-4-44-442224-2-42-2-2-222-22-2-22-4442-2-22-400000000002-2-2200000000000000000000000000000000000000000000000000
χ964-4-44-444-4-244-4-4422-22-2-4-4-4-242-444-222-22-2-22-2224-4-44-20000000000-222-200000000000000000000000000000000000000000000000000
χ974-4-44-444-4-2-24-4-4422-22-2222-2-222-2-21-1-11-111-1-222-222-2-200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ984-4-44-444-4-2-24-4-4422-22-2222-2-222-2-21-1-11-111-1-222-222-2-200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ994-4-44-444-4-2-2-444-422-22-2222-2-222-2-21-1-11-111-12-2-22-2-2220023−23−23230000-111-1−333−3−333−3000000000000000000000000000000000000000000
χ1004-4-44-444-4-2-2-444-422-22-2222-2-222-2-21-1-11-111-12-2-22-2-22200−232323−230000-111-13−3−333−3−33000000000000000000000000000000000000000000
χ1014-4-4-444-444-20000-4-444-422-2-424-2-22-222-2-222-20000000000000000000000000000004-4000000-22-22000000000000000000000000000000
χ1024-4-4-444-444-20000-4-444-422-2-424-2-22-222-2-222-2000000000000000000000000000000-440000002-22-2000000000000000000000000000000
χ1034-4-4-444-44-24000022-2-22-4-442-4-244-4-222-2-222-2000000000000000000000000000000000022−22−222200000000−222−22−2−22000000000000000000
χ1044-4-4-444-44-24000022-2-22-4-442-4-244-4-222-2-222-20000000000000000000000000000000000−222222−22000000002−2−22−222−2000000000000000000
χ105888-8-88-8-8-4-40000-4-4-444-4-444444-442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-444-4-4-44-444444-422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-400004-444-44-4444-4-44-42-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-4000044-4-4444-444-4-4-442-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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