Finite Group Databasebeta

← Group #13161998

Character table — Group #13161998

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181836363636363636363636363636363636363636363672727272727272
order1222333446666666663333366666666666666612121212121241212121212121212121212121212121212121212121212121212121212121212121212124444444888812121212242424242424242426612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-2000000000000000000002200-200000022-2-2000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2002000000-2-222000000000000000
χ11222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002000000-1-1-1-1000000002-1-10000
χ12222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2000000111100000000-2110000
χ13222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122002000000-1-1-1-100000000-2110000
χ14222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-200-20000001111000000002-1-10000
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χ16222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000−i3i300-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-200200000011-1-1000000000i3−i30000
χ17222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000i3−i300-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32200-2000000-1-111000000000i3−i30000
χ18222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000i3−i300-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-200200000011-1-1000000000−i3i30000
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χ2022222-122222-1-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-2-200-2-20000000011110001100
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χ242222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000-2-2000000111100000000011
χ252222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-1111111-2-2111111-2-211110022000-2-20000001111000000000-1-1
χ262222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-1111111-2-2111111-2-2111100-2-200022000000-1-1-1-100000000011
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χ292-22-2222-22-2-2-222-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-22-2220000000-22-22-22-2-22200000000000000000000002-20000000000000000000000002-2
χ302-22-2222-22-2-2-222-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-22-2220000000-22-22-22-2-2220000000000000000000000-22000000000000000000000000-22
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χ332-22-22-122-2-2-21-12-2-212-12-1-1-111-2-2111111-12-1-1-1-12-221-20i3−i30000-112-2-11-1-111i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000002i−2i000000000000−3−333000−ii00
χ342-22-22-122-2-2-21-12-2-212-12-1-1-111-2-2111111-12-1-1-1-12-221-20i3−i30000-112-2-11-1-111i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300000−2i2i00000000000033−3−3000i−i00
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χ362-22-2-122-2211-222-2-2-2-1-1-12-1-11111-2-21111-1-12-1-1-2-2212-100000−i3i31-11-1-2211-1-1−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300-2200000000000i3i3−i3−i30000000001-1
χ372-22-2-122-2211-222-2-2-2-1-1-12-1-11111-2-21111-1-12-1-1-2-2212-100000i3−i31-11-1-2211-1-1i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3002-200000000000i3i3−i3−i3000000000-11
χ382-22-2-122-2211-222-2-2-2-1-1-12-1-11111-2-21111-1-12-1-1-2-2212-100000i3−i31-11-1-2211-1-1i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300-2200000000000−i3−i3i3i30000000001-1
χ392-2-22222002-2-2-2-22-22-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002i−2i000002−2−i2i22i−2i002−22−2−i2i2−i2i20000000
χ402-2-22222002-2-2-2-22-22-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002i−2i00000−22i2−i22i−2i00−22−22i2−i2i2−i20000000
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χ422-2-22222002-2-2-2-22-22-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000−2i2i00000−22−i2i2−2i2i00−22−22−i2i2−i2i20000000
χ4344444-24-4-444-2-2444-24-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-22-4-4-42-4000000022-4-422222200000000000000000000000000000000000000000000000000
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χ774-44-44-2-2-44-4-42-2-22224-2-21112222-1-1-1-1-1-1-2-211122-2-4-2400000002-22-2-11-1-1110000003-333-3-300-33-3-333000000000000000000000000000000
χ784-44-44-2-2-44-4-42-2-22224-2-21112222-1-1-1-1-1-1-2-211122-2-4-2400000002-22-2-11-1-111000000-33-3-333003-333-3-3000000000000000000000000000000
χ794-44-4-2444-422-444-4-4-4-2-2-24-2-22222-4-42222-2-24-2-244-4-2-420000000-22-224-4-2-22200000000000000000000000000000000000000000000000000
χ804-44-4-24-24-422-44-222-4-2-21-21122-1-122-1-1-1-1-21-2114-22-2-420000000-221-1-2211-1-100003-3003-33-3-3300-33-33000000000000000000000000000000
χ814-44-4-24-24-422-44-222-4-2-21-21122-1-122-1-1-1-1-21-2114-22-2-420000000-221-1-2211-1-10000-3300-33-333-3003-33-3000000000000000000000000000000
χ824-44-4-24-2-4422-44-222-4-2-21-21122-1-122-1-1-1-1-21-211-42-224-200000−2i32i32-2-112-2-1-111−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000
χ834-44-4-24-2-4422-44-222-4-2-21-21122-1-122-1-1-1-1-21-211-42-224-2000002i3−2i32-2-112-2-1-1112i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000
χ844-44-4-2-244-4222-24-4-42-21-2-211-1-12222-1-1-1-11-2-211-24-4-2220−2i32i300001-1-22-2211-1-1i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000
χ854-44-4-2-244-4222-24-4-42-21-2-211-1-12222-1-1-1-11-2-211-24-4-22202i3−2i300001-1-22-2211-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ864-44-4-2-24-44222-24-4-42-21-2-211-1-12222-1-1-1-11-2-2112-442-2-200000−2i32i3-112-22-2-1-111i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000
χ874-44-4-2-24-44222-24-4-42-21-2-211-1-12222-1-1-1-11-2-2112-442-2-2000002i3−2i3-112-22-2-1-111−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000
χ884-44-4-2-2-24-4222-2-2222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-22-2220−2i32i300001-11-11-1−1−3i32−1+3i321+3i321−3i32i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000000
χ894-44-4-2-2-24-4222-2-2222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-22-22202i3−2i300001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000000
χ904-44-4-2-2-24-4222-2-2222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-22-2220−2i32i300001-11-11-1−1+3i32−1−3i321−3i321+3i32i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000000
χ914-44-4-2-2-24-4222-2-2222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-22-22202i3−2i300001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000000
χ924-44-4-2-2-2-44222-2-2222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-22-2-200000−2i32i3-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32000000000000000000000000000000
χ934-44-4-2-2-2-44222-2-2222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-22-2-2000002i3−2i3-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32000000000000000000000000000000
χ944-44-4-2-2-2-44222-2-2222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-22-2-200000−2i32i3-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32000000000000000000000000000000
χ954-44-4-2-2-2-44222-2-2222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-22-2-2000002i3−2i3-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32000000000000000000000000000000
χ964-4-4444-2004-4-4-42-224-44-2-2-2-24-4-22-22-2-222-4222200000000000000000000000000000000000000000004i−4i000000000−2i2i00000000000000000
χ974-4-4444-2004-4-4-42-224-44-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000−4i4i0000000002i−2i00000000000000000
χ984-4-444-24004-422-44-4-2-4-24-2-2-2-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000−2i22i200000000i2−i2i2−i20000000
χ994-4-444-24004-422-44-4-2-4-24-2-2-2-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000002i2−2i200000000−i2i2−i2i20000000
χ1004-4-44-24400-22-4-4-44-442-2-24-2-2-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000022−22000000−22−2200000000000
χ1014-4-44-24400-22-4-4-44-442-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000−22220000002−22−200000000000
χ10288-8-88-4-400-88-4444-44-8-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4004-48-844-4-84-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48004-4-44-8-88442-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4004-4-4444-444222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4004-4-4444-444222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4008-8444-44-4-8-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-400-44-8-84-4484-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4800-4444-88-8-442-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400-44444-44-44222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400-44444-44-44222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000

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