Finite Group Databasebeta

← Group #13150845

Character table — Group #13150845

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
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χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
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χ611111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
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χ872-2-22200-22-2000022-2-22-2-222-22-2000000002-20022-2-20000000000000000-222-2-2002-220000-2-222-222-2-22-2200000000-2200-2-2220000000000000000
χ882-2-22200-22-2000022-2-22-2-222-22-200000000-2200-2-2220000000000000000-222-2-2002-220000-2-222-222-2-22-22000000002-20022-2-20000000000000000
χ8944444444444444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-422222222-1-1-1-12222-1-1-1-1000000000000000000000000
χ9044444-4-4444-4-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000000000000000000000-4-4-4-4-444-4-4-4444422222222-1-1-1-1-2-2-2-21111000000000000000000000000
χ9144-4-44004-4-400004-24-22-42-4-2-22200000000000000000000000000000000-4-444-400-4440000-42-42-24-2422-2-200000000000000000000000000000000
χ9244-4-44004-4-40000-24-24-42-42-2-22200000000000000000000000000000000-4-444-400-44400002-42-44-24-222-2-200000000000000000000000000000000
χ9344-4-44004-4-40000-2-2-2-2222211-1-100003i−3i3i−3i000000000000000000000000-4-444-400-44400002222-2-2-2-2-1-1110000−3i3i−3i3i000000000000000000000000
χ9444-4-44004-4-40000-2-2-2-2222211-1-10000−3i3i−3i3i000000000000000000000000-4-444-400-44400002222-2-2-2-2-1-11100003i−3i3i−3i000000000000000000000000
χ954-44-444-4-4-4444-4-4-2-2222-2-221-1-11-22-2211-1-1000000000000000000000000-44-44-4-4444-4-4-44422-2-2-222-2-111-12-22-2-1-111000000000000000000000000
χ964-44-44-44-4-44-4-444-2-2222-2-221-1-112-22-2-1-111000000000000000000000000-44-44-44-444-444-4-422-2-2-222-2-111-1-22-2211-1-1000000000000000000000000
χ974-4-44400-44-400004-2-42-2-424-22-2200000000000000000000000000000000-444-4-4004-440000-424-224-2-42-22-200000000000000000000000000000000
χ984-4-44400-44-40000-242-442-4-2-22-2200000000000000000000000000000000-444-4-4004-4400002-4-24-4-2422-22-200000000000000000000000000000000
χ994-4-44400-44-40000-2-222-222-21-11-100003i−3i−3i3i000000000000000000000000-444-4-4004-44000022-2-22-2-22-11-110000−3i3i3i−3i000000000000000000000000
χ1004-4-44400-44-40000-2-222-222-21-11-10000−3i3i3i−3i000000000000000000000000-444-4-4004-44000022-2-22-2-22-11-1100003i−3i−3i3i000000000000000000000000
χ1016666-366-3-3-3-3-3-3-3000000000000000000002222-1-1-1-1-1-1-1-1000000000000-6-6-6-63-6-6333333300000000000000000000-2-2-2-211111111000000000000
χ1026666-366-3-3-3-3-3-3-300000000000000000000-2-2-2-211111111000000000000-6-6-6-63-6-63333333000000000000000000002222-1-1-1-1-1-1-1-1000000000000
χ1036666-3-6-6-3-3-333330000000000000000000022-2-2-1-1-1-11111000000000000-6-6-6-6366333-3-3-3-300000000000000000000-2-2221111-1-1-1-1000000000000
χ1046666-3-6-6-3-3-3333300000000000000000000-2-2221111-1-1-1-1000000000000-6-6-6-6366333-3-3-3-30000000000000000000022-2-2-1-1-1-11111000000000000
χ10566-6-6-300-33333−3333−3300000000000000000000002i−2i−i3i3−i3i3−i−iii000000000000-6-6663003-3-3−3333−33330000000000000000000000−2i2ii3−i3i3−i3ii−i−i000000000000
χ10666-6-6-300-33333−3333−330000000000000000000000−2i2ii3−i3i3−i3ii−i−i000000000000-6-6663003-3-3−3333−333300000000000000000000002i−2i−i3i3−i3i3−i−iii000000000000
χ10766-6-6-300-333−3333−333300000000000000000000002i−2ii3−i3i3−i3−i−iii000000000000-6-6663003-3-333−3333−330000000000000000000000−2i2i−i3i3−i3i3ii−i−i000000000000
χ10866-6-6-300-333−3333−33330000000000000000000000−2i2i−i3i3−i3i3ii−i−i000000000000-6-6663003-3-333−3333−3300000000000000000000002i−2ii3−i3i3−i3−i−iii000000000000
χ1096-66-6-36-633-3-3-333000000000000000000000000−i3i3i3−i3−i3i3−i3i3000000000000-66-663-66-3-3333-3-3000000000000000000000000i3−i3−i3i3i3−i3i3−i3000000000000
χ1106-66-6-36-633-3-3-333000000000000000000000000i3−i3−i3i3i3−i3i3−i3000000000000-66-663-66-3-3333-3-3000000000000000000000000−i3i3i3−i3−i3i3−i3i3000000000000
χ1116-66-6-3-6633-333-3-3000000000000000000000000−i3i3i3−i3i3−i3i3−i3000000000000-66-6636-6-3-33-3-333000000000000000000000000i3−i3−i3i3−i3i3−i3i3000000000000
χ1126-66-6-3-6633-333-3-3000000000000000000000000i3−i3−i3i3−i3i3−i3i3000000000000-66-6636-6-3-33-3-333000000000000000000000000−i3i3i3−i3i3−i3i3−i3000000000000
χ1136-6-66-3003-3333−33−3333000000000000000000002-200-1-1113−3−33000000000000-666-6300-33-3−333333−3300000000000000000000-220011-1-1−333−3000000000000
χ1146-6-66-3003-3333−33−333300000000000000000000-220011-1-1−333−3000000000000-666-6300-33-3−333333−33000000000000000000002-200-1-1113−3−33000000000000
χ1156-6-66-3003-33−333333−33000000000000000000002-200-1-111−333−3000000000000-666-6300-33-333−33−333300000000000000000000-220011-1-13−3−33000000000000
χ1166-6-66-3003-33−333333−3300000000000000000000-220011-1-13−3−33000000000000-666-6300-33-333−33−3333000000000000000000002-200-1-111−333−3000000000000

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