Finite Group Databasebeta

← Group #13161965

Character table — Group #13161965

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444448888888888888888888888888888888888888363636363636363636363636363636363636727272727272727272
order122233344666666666333336666666666666661212121212122666666666666666666666666661212121212121212121244888812121212242424242424242422466661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-22-2000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-220000-2-22200000000000000000
χ11222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200000000-1-1-1-102000-1-100
χ12222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-20000000011110-20001100
χ13222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-1-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-100002200000000-1-1-1-10-20001100
χ14222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-1-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-10000-2-200000000111102000-1-100
χ1522222-1222-1-122-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10022000000-1-1-1-10000200-1-10000
χ1622222-1222-1-122-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200000011110000-200110000
χ1722222-1222-1-122-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-10022000000-1-1-1-10000-200110000
χ1822222-1222-1-122-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-100-2-200000011110000200-1-10000
χ192222-12222222222-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1220000-1-1-1-1000000000020000-1-1
χ202222-12222222222-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2000011110000000000-2000011
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χ352-2-222-12-2211-2-2-12-2-22-12-1-1-111-2-2111111-12-1-1-112-22-1-2000−i3i300−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31-1-221-111-1-1002-2000000-1-1110000000−i3i30000
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χ382-2-222-12-2211-2-2-12-2-22-12-1-1-111-2-2111111-12-1-1-112-22-1-2000i3−i300i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-1-221-111-1-100-2200000011-1-10000000−i3i30000
χ39444444-2-4-444-2-24-24444-2-2-2-244-2-2-2-2-2-2-2-24-2-2-2-2-42-4-4-42000000000000000000000000000-4-422222222000000000000000000000000000
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χ514444-2-24-4-4-2-244-24-2-2-21-2-21111-2-2-2-211111-2-2112-4222-40−2i32i30000i3i3−i3−i3−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3-1-12222-1-1-1-1000000000000000000000000000
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χ794-4-444-2-2-442222-2-2-4-44-2-21112222-1-1-1-1-1-1-2-21112-2-44-22000−2i32i300−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-22-2-11-1-111000000000000000000000000000
χ804-4-444-2-2-442222-2-2-4-44-2-21112222-1-1-1-1-1-1-2-21112-2-44-220002i3−2i3002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-2-11-1-111000000000000000000000000000
χ814-4-44-2444-4-4-4-4-44422-2-2-24-2-22222-4-42222-2-24-2-24-4-22-44000000000000000000000000000-22-224-4-2-222000000000000000000000000000
χ824-4-44-244-44-4-4-4-44422-2-2-24-2-22222-4-42222-2-24-2-2-442-24-40000000000000000000000000002-22-2-4422-2-2000000000000000000000000000
χ834-4-44-24-24-4-4-4224-222-2-21-21122-1-122-1-1-1-1-21-21142-22-4-200000−2i32i30000i3−i3i3−i3−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3-221-1-2211-1-1000000000000000000000000000
χ844-4-44-24-24-4-4-4224-222-2-21-21122-1-122-1-1-1-1-21-21142-22-4-2000002i3−2i30000−i3i3−i3i32i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3-221-1-2211-1-1000000000000000000000000000
χ854-4-44-24-2-44-4-4224-222-2-21-21122-1-122-1-1-1-1-21-211-4-22-242000000000003-3-33000033-3-3-3-3332-2-112-2-1-111000000000000000000000000000
χ864-4-44-24-2-44-4-4224-222-2-21-21122-1-122-1-1-1-1-21-211-4-22-24200000000000-333-30000-3-33333-3-32-2-112-2-1-111000000000000000000000000000
χ874-4-44-2-244-422-4-4-2422-21-2-211-1-12222-1-1-1-11-2-211-2-4-222400000003-3-33000000003-33-3-33-331-1-22-2211-1-1000000000000000000000000000
χ884-4-44-2-244-422-4-4-2422-21-2-211-1-12222-1-1-1-11-2-211-2-4-22240000000-333-300000000-33-333-33-31-1-22-2211-1-1000000000000000000000000000
χ894-4-44-2-24-4422-4-4-2422-21-2-211-1-12222-1-1-1-11-2-211242-2-2-4000−2i32i300i3−i3i3−i30000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3-112-22-2-1-111000000000000000000000000000
χ904-4-44-2-24-4422-4-4-2422-21-2-211-1-12222-1-1-1-11-2-211242-2-2-40002i3−2i300−i3i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3-112-22-2-1-111000000000000000000000000000
χ914-4-44-2-2-24-42222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-200000−2i32i33-3-33i3−i3i3−i3i3i3−i3−i3−3−i323−i32−3+i323+i323−i32−3−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000
χ924-4-44-2-2-24-42222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-2000002i3−2i3-333-3−i3i3−i3i3−i3−i3i3i33+i32−3+i323−i32−3−i32−3+i323+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000
χ934-4-44-2-2-24-42222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-200000−2i32i3-333-3i3−i3i3−i3i3i3−i3−i33−i32−3−i323+i32−3+i32−3−i323−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000
χ944-4-44-2-2-24-42222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-2000002i3−2i33-3-33−i3i3−i3i3−i3−i3i3i3−3+i323+i32−3−i323−i323+i32−3+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000
χ954-4-44-2-2-2-442222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-22000−2i32i300i3−i3i3−i33-3-33i3−i3i3−i3−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000
χ964-4-44-2-2-2-442222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-220002i3−2i300−i3i3−i3i3-333-3−i3i3−i3i33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000
χ974-4-44-2-2-2-442222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-22000−2i32i300i3−i3i3−i3-333-3i3−i3i3−i33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000
χ984-4-44-2-2-2-442222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-220002i3−2i300−i3i3−i3i33-3-33−i3i3−i3i3−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000
χ9988-8-88-4-400-44-44448-8-8-4-4222-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4008-8-44-84-444-42-422-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4800-448-84-8-4442-4-4222-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-400-44-4444-444222−1−3i3−1+3i32-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-400-44-4444-444222−1+3i3−1−3i32-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-4004-44-444-88-8-4-42224-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-400-884-4-844-44-42-4224-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-48004-4-884-84-442-4-422-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4004-44-4444-44222−1−3i3−1+3i3-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4004-44-4444-44222−1+3i3−1−3i3-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000

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