Finite Group Databasebeta

← Group #13161983

Character table — Group #13161983

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181836363636363636363636363636363636363636363672727272727272
order122233344666666666333336666666666666661212121212122666666666666666666666666661212121212121212121244222446688881212242424242424242446612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-11111
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χ11222222-122222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000220000220000-1-1-1-100000-1-10000
χ12222222-122222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000-2-20000-2-20000111100000110000
χ13222222-122222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1000220000-2-20000111100000-1-10000
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χ794-4-444-244-4-4-42-4-44-224-24-2-2-222-4-4222222-24-2-2-24-22-4-44000000000000000000000000000-224-4-22-2-222000000000000000000000000000000
χ804-4-444-24-44-4-42-4-44-224-24-2-2-222-4-4222222-24-2-2-2-42-244-40000000000000000000000000002-2-442-222-2-2000000000000000000000000000000
χ814-4-444-2-24-4-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-2111-2-22-4240000000000000003-333-3-3-33-3-333-22-221-111-1-1000000000000000000000000000000
χ824-4-444-2-24-4-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-2111-2-22-424000000000000000-33-3-3333-333-3-3-22-221-111-1-1000000000000000000000000000000
χ834-4-444-2-2-44-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-211122-24-2-400000−2i32i30000−2i3−2i32i32i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32-22-2-11-1-111000000000000000000000000000000
χ844-4-444-2-2-44-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-211122-24-2-4000002i3−2i300002i32i3−2i3−2i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32-22-2-11-1-111000000000000000000000000000000
χ854-4-44-244-4422-4-4-444-4-2-2-24-2-22222-4-42222-2-24-2-2-4-44-2420000000000000000000000000002-22-2-4422-2-2000000000000000000000000000000
χ864-4-44-24-24-422-422-24-4-2-21-21122-1-122-1-1-1-1-21-211-24-422-20−2i32i30000−2i32i3−2i32i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-221-1-2211-1-1000000000000000000000000000000
χ874-4-44-24-24-422-422-24-4-2-21-21122-1-122-1-1-1-1-21-211-24-422-202i3−2i300002i3−2i32i3−2i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-221-1-2211-1-1000000000000000000000000000000
χ884-4-44-24-2-4422-422-24-4-2-21-21122-1-122-1-1-1-1-21-2112-44-2-2200000−2i32i30000i3i3−i3−i3−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i32-2-112-2-1-111000000000000000000000000000000
χ894-4-44-24-2-4422-422-24-4-2-21-21122-1-122-1-1-1-1-21-2112-44-2-22000002i3−2i30000−i3−i3i3i32i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i32-2-112-2-1-111000000000000000000000000000000
χ904-4-44-2-244-4222-4-44-22-21-2-211-1-12222-1-1-1-11-2-2114-222-4-20−2i32i30000i3−i3i3−i3−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i31-1-22-2211-1-1000000000000000000000000000000
χ914-4-44-2-244-4222-4-44-22-21-2-211-1-12222-1-1-1-11-2-2114-222-4-202i3−2i30000−i3i3−i3i32i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i31-1-22-2211-1-1000000000000000000000000000000
χ924-4-44-2-24-44222-4-44-22-21-2-211-1-12222-1-1-1-11-2-211-42-2-24200000003-3-330000003-33-300-33-33-112-22-2-1-111000000000000000000000000000000
χ934-4-44-2-24-44222-4-44-22-21-2-211-1-12222-1-1-1-11-2-211-42-2-2420000000-333-3000000-33-33003-33-3-112-22-2-1-111000000000000000000000000000000
χ944-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2222-20−2i32i30000i3−i3i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32-333−i323+i32−3−i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000
χ954-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2222-202i3−2i30000−i3i3−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i323-3−3+i32−3−i323+i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000
χ964-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2222-20−2i32i30000i3−i3i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i323-3−3−i32−3+i323−i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000
χ974-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2222-202i3−2i30000−i3i3−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32-333+i323−i32−3+i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000
χ984-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2-2200000−2i32i33-3-33i3i3−i3−i3i3−i3−3−i323−i32−3+i323+i32i3−i33−i32−3−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000
χ994-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2-22000002i3−2i3-333-3−i3−i3i3i3−i3i33+i32−3+i323−i32−3−i32−i3i3−3+i323+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000
χ1004-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2-2200000−2i32i3-333-3i3i3−i3−i3i3−i33−i32−3−i323+i32−3+i32i3−i3−3−i323−i32−3+i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000
χ1014-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2-22000002i3−2i33-3-33−i3−i3i3i3−i3i3−3+i323+i32−3−i323−i32−i3i33+i32−3+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000
χ10288-8-88-4-4008-8-4-44444-8-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-400-448-444-8-84-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4800-44-48-8-84442-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-44-4-444444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-44-4-444444222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-400-8844-444-4-8-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-4004-4-84-44-884-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48004-44-88-84-442-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4004-444-444-44222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-444-444-44222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000

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