Finite Group Databasebeta

← Group #13162032

Character table — Group #13162032

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181836363636363636363636363636363636363636363672727272727272
order1222333446666666663333366666666666666612121212121241212121212121212121212121212121212121212121212121212121212121212121212122244444668888121224242424242424244121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-20000000000000000000022-20000220000-2-2000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-220000-2-2000022000000000000000
χ11222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-122222-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12220000-1-10000-1-1000000002-1-10000
χ12222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-122222-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200001100001100000000-2110000
χ13222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-211-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112220000-1-10000-1-100000000-2110000
χ14222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-211-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2000011000011000000002-1-10000
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χ17222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-20i3−i30000-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i322-20000-1-1000011000000000i3−i30000
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χ262222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-12-2-2-211-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-21111000-2-20000220000-1-1-1-100000001100
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χ362-2-222-122-2-2-211-22-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-100000−i3i3-112-2-11-1-111−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300000-22000000000000i3−i3i3−i3000001-1
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χ382-2-222-122-2-2-211-22-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-100000i3−i3-112-2-11-1-111i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300000-22000000000000−i3i3−i3i3000001-1
χ392-2-22-122-2211-2-2-22-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-2000−i3i3001-11-1-2211-1-1−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i30002-20000000000−i3i3−i3i30000000-1100
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χ422-2-22-122-2211-2-2-22-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-2000i3−i3001-11-1-2211-1-1i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000-220000000000−i3i3−i3i300000001-100
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χ804-4-444-24-44-4-422-44-44-2-24-2-2-222-4-4222222-24-2-2-2-44-4-24200000002-2-442-222-2-200000000000000000000000000000000000000000000000000
χ814-4-444-2-24-4-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-2111-2242-4-200000−2i32i3-22-221-111-1-1−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000000000000000000000000000
χ824-4-444-2-24-4-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-2111-2242-4-2000002i3−2i3-22-221-111-1-12i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000000000000000000000000000
χ834-4-444-2-2-44-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-21112-2-4-24200000002-22-2-11-1-1110000003-333-3-300-33-3-333000000000000000000000000000000
χ844-4-444-2-2-44-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-21112-2-4-24200000002-22-2-11-1-111000000-33-3-333003-333-3-3000000000000000000000000000000
χ854-4-44-2444-422-4-4-44-4-24-2-24-2-22222-4-42222-2-24-2-24-4-2-4240000000-22-224-4-2-22200000000000000000000000000000000000000000000000000
χ864-4-44-24-24-422-4-42-22-24-21-21122-1-122-1-1-1-1-21-211-22-2-4240000000-221-1-2211-1-100003-3003-33-3-3300-33-33000000000000000000000000000000
χ874-4-44-24-24-422-4-42-22-24-21-21122-1-122-1-1-1-1-21-211-22-2-4240000000-221-1-2211-1-10000-3300-33-333-3003-33-3000000000000000000000000000000
χ884-4-44-24-2-4422-4-42-22-24-21-21122-1-122-1-1-1-1-21-2112-224-2-4000−2i32i3002-2-112-2-1-111−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000
χ894-4-44-24-2-4422-4-42-22-24-21-21122-1-122-1-1-1-1-21-2112-224-2-40002i3−2i3002-2-112-2-1-1112i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000
χ904-4-44-2-244-42222-44-4-2-21-2-211-1-12222-1-1-1-11-2-2114-4-222-200000−2i32i31-1-22-2211-1-1i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000
χ914-4-44-2-244-42222-44-4-2-21-2-211-1-12222-1-1-1-11-2-2114-4-222-2000002i3−2i31-1-22-2211-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ924-4-44-2-24-442222-44-4-2-21-2-211-1-12222-1-1-1-11-2-211-442-2-22000−2i32i300-112-22-2-1-111i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000
χ934-4-44-2-24-442222-44-4-2-21-2-211-1-12222-1-1-1-11-2-211-442-2-220002i3−2i300-112-22-2-1-111−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000
χ944-4-44-2-2-24-422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-200000−2i32i31-11-11-1−1−3i32−1+3i321+3i321−3i32i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000000
χ954-4-44-2-2-24-422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-2000002i3−2i31-11-11-1−1−3i32−1+3i321+3i321−3i32−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000000
χ964-4-44-2-2-24-422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-200000−2i32i31-11-11-1−1+3i32−1−3i321−3i321+3i32i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000000
χ974-4-44-2-2-24-422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-2000002i3−2i31-11-11-1−1+3i32−1−3i321−3i321+3i32−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000000
χ984-4-44-2-2-2-4422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-22000−2i32i300-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32000000000000000000000000000000
χ994-4-44-2-2-2-4422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-220002i3−2i300-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32000000000000000000000000000000
χ1004-4-44-2-2-2-4422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-22000−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32000000000000000000000000000000
χ1014-4-44-2-2-2-4422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-220002i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32000000000000000000000000000000
χ10288-8-88-4-4008-8-44-444-84-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-400-448-8-4444-8-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4800-44-448-8-8442-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-44-44-44444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-44-44-44444222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-400-884-444-4-84-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-4004-4-8844-44-8-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48004-44-4-8-88442-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4004-44-444-444222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-44-444-444222−1+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).