Finite Group Databasebeta

← Group #13176715

Character table — Group #13176715

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222233444446668812122244444668888812121216162424224444466888881212121616242422444446688888121212161624242244444668888812121216162424991818181818272736363636365454547272108108
order123468844221224242886644363126242412126612242462424661212363126242412126612242462424661212363126242412126612242462424661212363126242412126612242462424661212226468844221224242886644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1
χ31111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-1
χ41111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-111
χ511111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-1
χ611111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-11
χ711111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-11
χ811111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-1
χ9222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000
χ10222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000
χ1122-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-100
χ1222-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-10001100
χ1322-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-1100
χ1422-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-100
χ152-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i20000
χ162-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i20000
χ172-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i20000
χ182-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i20000
χ1944-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-20000002000000000
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χ214-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−20000000
χ22111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ23111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ241111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-11111111-1-111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111
χ251111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1111111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-111111-1-1
χ2611111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-111111-1-1111-11-1-11-1-11-11-1-1-1-1-1-111-1-1-11-111-111-11-11
χ2711111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-1111111-1-111-111-1-11-1-1-11-11-1-1-1-1-111-1-11-1-111-1111-11-1
χ2811111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-1111111-1-1-1-11-11-1-1-1111-1-11-1-1-1-1-11111-11-1111-1-1-111-1
χ2911111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-111111-1-1-1-1-111-1-1-111-111-1-1-1-1-1-111111-1-1111-1-11-1-11
χ30222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000222-22002200-200-2000000-2-2-22-200-2-2002002000000
χ31222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000222-2200-2-200-2002000000-2-2-22-2002200200-2000000
χ3222-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-10022-12-1220022-1-1-1000-1-100-2-21-21-2-200-2-21110001100
χ3322-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-1000110022-12-12200-2-2-1-1-10001100-2-21-21-2-20022111000-1-100
χ3422-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-110022-12-1-2-2002-2-111000-1100-2-21-212200-221-1-10001-100
χ3522-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-10022-12-1-2-200-22-1110001-100-2-21-2122002-21-1-1000-1100
χ362-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i200002-220-22−22i−2i0002−20i2−i20000-22-202−22−2i2i000−220−i2i20000
χ372-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i200002-220-22−2−2i2i0002−20−i2i20000-22-202−222i−2i000−220i2−i20000
χ382-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i200002-220-2−222i−2i000−220−i2i20000-22-2022−2−2i2i0002−20i2−i20000
χ392-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i200002-220-2−22−2i2i000−220i2−i20000-22-2022−22i−2i0002−20−i2i20000
χ4044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-2000000200000000044-2-4-20000002000000000-4-4242000000-2000000000
χ414-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−2200000004-4-20222−2200000−220000000-4420-2−2222000002−20000000
χ424-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−200000004-4-202−2222000002−20000000-4420-222−2200000−220000000
χ43222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ44222222222-2-2222222-2-2-2-2222222222-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111000000000000000000000
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χ462222222-2-2-2-2222-2-2-2-2-2222222222-2-2-2-2222-2-2-2-2-222-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1000000000000000000000
χ4722222-2-2222-22-2-22-2-22-22-222222-2-2222-22-2-22-2-22-22-2-1-1-1-1-111-1-1-11-111-111-11-11-1-1-1-1-111-1-1-11-111-111-11-11-1-1-1-1-111-1-1-11-111-111-11-11000000000000000000000
χ4822222-2-222-222-2-22-2-2-22-2222222-2-222-222-2-22-2-2-22-22-1-1-1-1-111-1-11-1-111-1111-11-1-1-1-1-1-111-1-11-1-111-1111-11-1-1-1-1-1-111-1-11-1-111-1111-11-1000000000000000000000
χ4922222-2-2-2-22-22-2-2-2222-2-2222222-2-2-2-22-22-2-2-2222-2-22-1-1-1-1-11111-11-1111-1-1-111-1-1-1-1-1-11111-11-1111-1-1-111-1-1-1-1-1-11111-11-1111-1-1-111-1000000000000000000000
χ5022222-2-2-2-2-222-2-2-222-222-222222-2-2-2-2-222-2-2-222-222-2-1-1-1-1-111111-1-1111-1-11-1-11-1-1-1-1-111111-1-1111-1-11-1-11-1-1-1-1-111111-1-1111-1-11-1-11000000000000000000000
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χ5344-24-2440044-2-2-2000-2-20044-24-2440044-2-2-2000-2-200-2-21-21-2-200-2-21110001100-2-21-21-2-200-2-21110001100-2-21-21-2-200-2-21110001100000000000000000000000
χ5444-24-24400-4-4-2-2-2000220044-24-24400-4-4-2-2-20002200-2-21-21-2-20022111000-1-100-2-21-21-2-20022111000-1-100-2-21-21-2-20022111000-1-100000000000000000000000
χ5544-24-2-4-4004-4-222000-220044-24-2-4-4004-4-222000-2200-2-21-212200-221-1-10001-100-2-21-212200-221-1-10001-100-2-21-212200-221-1-10001-100000000000000000000000
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χ574-440-422−224i−4i00022−2202i2−2i200004-440-422−224i−4i00022−2202i2−2i20000-22-202−22−2i2i000−220−i2i20000-22-202−22−2i2i000−220−i2i20000-22-202−22−2i2i000−220−i2i20000000000000000000000000
χ584-440-422−22−4i4i00022−220−2i22i200004-440-422−22−4i4i00022−220−2i22i20000-22-202−222i−2i000−220i2−i20000-22-202−222i−2i000−220i2−i20000-22-202−222i−2i000−220i2−i20000000000000000000000000
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χ64222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ65222222222-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111222222222-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111000000000000000000000
χ662222222-2-222222-2-2-222-2-2-1-1-1-1-1-1-111-1-1-1-1-1111-1-1112222222-2-222222-2-2-222-2-2-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-111000000000000000000000
χ672222222-2-2-2-2222-2-2-2-2-222-1-1-1-1-1-1-11111-1-1-111111-1-12222222-2-2-2-2222-2-2-2-2-222-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1000000000000000000000
χ6822222-2-2222-22-2-22-2-22-22-2-1-1-1-1-111-1-1-11-111-111-11-1122222-2-2222-22-2-22-2-22-22-2-1-1-1-1-111-1-1-11-111-111-11-11-1-1-1-1-111-1-1-11-111-111-11-11000000000000000000000
χ6922222-2-222-222-2-22-2-2-22-22-1-1-1-1-111-1-11-1-111-1111-11-122222-2-222-222-2-22-2-2-22-22-1-1-1-1-111-1-11-1-111-1111-11-1-1-1-1-1-111-1-11-1-111-1111-11-1000000000000000000000
χ7022222-2-2-2-22-22-2-2-2222-2-22-1-1-1-1-11111-11-1111-1-1-111-122222-2-2-2-22-22-2-2-2222-2-22-1-1-1-1-11111-11-1111-1-1-111-1-1-1-1-1-11111-11-1111-1-1-111-1000000000000000000000
χ7122222-2-2-2-2-222-2-2-222-222-2-1-1-1-1-111111-1-1111-1-11-1-1122222-2-2-2-2-222-2-2-222-222-2-1-1-1-1-111111-1-1111-1-11-1-11-1-1-1-1-111111-1-1111-1-11-1-11000000000000000000000
χ72444-44004400-400-4000000-2-2-22-200-2-2002002000000444-44004400-400-4000000-2-2-22-200-2-2002002000000-2-2-22-200-2-2002002000000000000000000000000000
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χ1268-8-404−42420000022−220000000-4420-222−2200000−220000000-4420-222−2200000−220000000-4420-222−2200000−2200000008-8-404−42420000022−220000000000000000000000000000

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