Finite Group Databasebeta

← Group #13169330

Character table — Group #13169330

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
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order1222333666666666333466666666612121212121212124444441212121236661212121212121212124441212121212121212121212121212121212121212121244441212121212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-11111111111-1-11-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111111-1-1-1-111-1-11111111111-1-1-1-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-11111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111111-1-1-1-1-1111111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111111111-1-1-1-11111-1-11-111-1-111-1-1-11-1-111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-111-1-1-11-1111-1-1-1-111-1-111-1-1-1-111111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-11-1-111-1-11111-1-1
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χ884-44-4-24-22-2-4-2422-42-21-202-2-2-1-1122200003i−3i3i−3i0000-442-22-21-11-1000003i−3i3i−3i000002-20000000000−3i3i−3i3i-11-1100000000000000000000000000000000
χ894-44-4-24-22-2-4-2422-42-21-202-2-2-1-112220000−3i3i−3i3i00004-4-22-221-11-100000−3i3i−3i3i00000-220000000000−3i3i−3i3i1-11-100000000000000000000000000000000
χ904-44-4-24-22-2-4-2422-42-21-202-2-2-1-112220000−3i3i−3i3i0000-442-22-21-11-100000−3i3i−3i3i000002-200000000003i−3i3i−3i-11-1100000000000000000000000000000000
χ914-4-44444-4-4-4-4-44-4444440-4-4-44-4-4-4440000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-2-4-4-42-4-22444-2-20-4-42-2222-240000000000000023−23−2323-222-200000000000000000000000000000023−23−232300000000000000000000000000000000
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χ944-4-444-24-4-42-424-4-24-24-202224-4-42-2-2000000000000000000-222-2000000000000000000000000−2i32i300000000000000000000−2i32i3000000000000000000
χ954-4-444-24-4-42-424-4-24-24-202224-4-42-2-2000000000000000000-222-20000000000000000000000002i3−2i3000000000000000000002i3−2i3000000000000000000
χ964-4-44-24422-4-4-44-44-2-2-24022-4-222-44-200−2i32i3−2i32i32i3−2i30000000000-222-2000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ974-4-44-24422-4-4-44-44-2-2-24022-4-222-44-2002i3−2i32i3−2i3−2i32i30000000000-222-20002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-222-42-4-224-2-21-202221-1-12-2-200−2i32i3i3−i3−i3i300000023−23−23231-1-11000−2i32i3i3−i3−i3i3000000000000000003i−3i−3i3i−333−300000000000000000000000000000000
χ994-4-44-24-222-42-4-224-2-21-202221-1-12-2-200−2i32i3i3−i3−i3i3000000−232323−231-1-11000−2i32i3i3−i3−i3i300000000000000000−3i3i3i−3i3−3−3300000000000000000000000000000000
χ1004-4-44-24-222-42-4-224-2-21-202221-1-12-2-2002i3−2i3−i3i3i3−i300000023−23−23231-1-110002i3−2i3−i3i3i3−i300000000000000000−3i3i3i−3i−333−300000000000000000000000000000000
χ1014-4-44-24-222-42-4-224-2-21-202221-1-12-2-2002i3−2i3−i3i3i3−i3000000−232323−231-1-110002i3−2i3−i3i3i3−i3000000000000000003i−3i−3i3i3−3−3300000000000000000000000000000000
χ1024-4-44-2-24222-424-4-2-21-2-20-1-12-2222-2100−2i32i3−2i32i32i3−2i300000000001-1-11000i3−i3i3−i3−i3i3000000000000000−2i32i300000000000000000000i3−i33-30000000000000000
χ1034-4-44-2-24222-424-4-2-21-2-20-1-12-2222-2100−2i32i3−2i32i32i3−2i300000000001-1-11000i3−i3i3−i3−i3i30000000000000002i3−2i300000000000000000000−i3i3-330000000000000000
χ1044-4-44-2-24222-424-4-2-21-2-20-1-12-2222-21002i3−2i32i3−2i3−2i32i300000000001-1-11000−i3i3−i3i3i3−i3000000000000000−2i32i300000000000000000000i3−i3-330000000000000000
χ1054-4-44-2-24222-424-4-2-21-2-20-1-12-2222-21002i3−2i32i3−2i3−2i32i300000000001-1-11000−i3i3−i3i3i3−i30000000000000002i3−2i300000000000000000000−i3i33-30000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-48-44-4-84-88442-4-402-244-44-44-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-44-4444-44422202-2-2-22-22-2-243−4300−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-44-4444-44422202-2-2-22-22-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-4-884-4-4444-8-4-4204-4244-4-2-240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-484-448-4-8-8442-4-40-22-444-444-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-44-44-4-444442220-222-2-22-2-2-200006i−6i6i−6i0000000000-11-1100000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-44-44-4-444442220-222-2-22-2-2-20000−6i6i−6i6i0000000000-11-11000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-4-8-8444-44-48-4-42044-2-444-22-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444444-44-4-42220-2-2-22-2-2-22200−4i34i32i3−2i3−2i32i30000000000-111-10002i3−2i3−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444444-44-4-42220-2-2-22-2-2-222004i3−4i3−2i32i32i3−2i30000000000-111-1000−2i32i3i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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