Finite Group Databasebeta

← Group #10595335

Character table — Group #10595335

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222224444466668888899121212121212182424361122222444446666888889912121212121218242436
order123346634612128888121212121244242424242426122226646664612128888121212121244242424242426122
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-111111-1-11-111-1-1-11-1-111111111111111-1-111111-1-11-111-1-1-11-1-1
χ3111111111111-1-11111111-1-1-11-1-111-1-11-1111111111111-1-11111111-1-1-11-1-111-1-11-1
χ4111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11
χ511111111-11111111-1-11-1-111-1-111111-1-1-111111111-11111111-1-11-1-111-1-111111-1-1-1
χ611111111-111111-1-1-1-11-1-1-1-1-1111-1-1-1-11111111111-111111-1-1-1-11-1-1-1-1-1111-1-1-1-111
χ711111111-1111-1-111-1-11-1-1-1-11-1-1-111-11-1111111111-1111-1-111-1-11-1-1-1-11-1-1-111-11-11
χ811111111-1111-1-1-1-1-1-11-1-11111-1-1-1-1111-111111111-1111-1-1-1-1-1-11-1-11111-1-1-1-1111-1
χ92222-222202-2-2000000-20022000000-20002222-222202-2-2000000-20022000000-2000
χ102222-222202-2-2000000-200-2-200000020002222-222202-2-2000000-200-2-20000002000
χ11222-12-12-12-1-122200-12-1-1-10020-1-1000-100222-12-12-12-1-122200-12-1-1-10020-1-1000-100
χ12222-12-12-12-1-12-2-200-12-1-1-100-2011000100222-12-12-12-1-12-2-200-12-1-1-100-2011000100
χ13222-12-12-1-2-1-1222001-2-11100-20-1-1000100222-12-12-1-2-1-1222001-2-11100-20-1-1000100
χ14222-12-12-1-2-1-12-2-2001-2-111002011000-100222-12-12-1-2-1-12-2-2001-2-111002011000-100
χ1522-1222-1-12-12-100222-1-1-1-1000200-1-100-1022-1222-1-12-12-100222-1-1-1-1000200-1-100-10
χ1622-1222-1-12-12-100-2-22-1-1-1-1000-20011001022-1222-1-12-12-100-2-22-1-1-1-1000-200110010
χ1722-1222-1-1-2-12-10022-21-111000-200-1-1001022-1222-1-1-2-12-10022-21-111000-200-1-10010
χ1822-1222-1-1-2-12-100-2-2-21-1110002001100-1022-1222-1-1-2-12-100-2-2-21-1110002001100-10
χ192-2220-2-220-200i2−i22−2000002i−2i00i2−i22−200002-2220-2-220-200i2−i22−2000002i−2i00i2−i22−20000
χ202-2220-2-220-200i2−i2−2200000−2i2i00i2−i2−2200002-2220-2-220-200i2−i2−2200000−2i2i00i2−i2−220000
χ212-2220-2-220-200−i2i22−200000−2i2i00−i2i22−200002-2220-2-220-200−i2i22−200000−2i2i00−i2i22−20000
χ222-2220-2-220-200−i2i2−22000002i−2i00−i2i2−2200002-2220-2-220-200−i2i2−22000002i−2i00−i2i2−220000
χ23444-2-4-24-20-22-4000000200000000000000444-2-4-24-20-22-4000000200000000000000
χ2444-24-44-2-20-2-4200000020000000000000044-24-44-2-20-2-42000000200000000000000
χ2544-2-24-2-2141-2-20000-2-211100000000000044-2-24-2-2141-2-20000-2-2111000000000000
χ2644-2-24-2-21-41-2-20000221-1-100000000000044-2-24-2-21-41-2-20000221-1-1000000000000
χ2744-2-2-4-2-210122000000-13-300000000000044-2-2-4-2-210122000000-13-3000000000000
χ2844-2-2-4-2-210122000000-1-3300000000000044-2-2-4-2-210122000000-1-33000000000000
χ294-44-202-4-202002i2−2i200000000000−i2i20000004-44-202-4-202002i2−2i200000000000−i2i2000000
χ304-44-202-4-20200−2i22i200000000000i2−i20000004-44-202-4-20200−2i22i200000000000i2−i2000000
χ314-4-240-42-202000022−2200000000000−2200004-4-240-42-202000022−2200000000000−220000
χ324-4-240-42-2020000−2222000000000002−200004-4-240-42-2020000−2222000000000002−20000
χ338-8-4-404420-2000000000000000000000008-8-4-404420-200000000000000000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111111111-1-111111-1-11-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1111-111
χ36111111111111-1-11111111-1-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-111-1-111-11
χ37111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-111-1
χ3811111111-11111111-1-11-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1111
χ3911111111-111111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-111111-1-1-11111-1-1
χ4011111111-1111-1-111-1-11-1-1-1-11-1-1-111-11-11-1-1-1-1-1-1-1-11-1-1-111-1-111-11111-1111-1-11-11-1
χ4111111111-1111-1-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1-1111111-111-1-1-1-11111-1-1-11
χ422222-222202-2-2000000-20022000000-2000-2-2-2-22-2-2-20-222000000200-2-20000002000
χ432222-222202-2-2000000-200-2-20000002000-2-2-2-22-2-2-20-22200000020022000000-2000
χ44222-12-12-12-1-122200-12-1-1-10020-1-1000-100-2-2-21-21-21-211-2-2-2001-211100-2011000100
χ45222-12-12-12-1-12-2-200-12-1-1-100-2011000100-2-2-21-21-21-211-222001-21110020-1-1000-100
χ46222-12-12-1-2-1-1222001-2-11100-20-1-1000100-2-2-21-21-21211-2-2-200-121-1-1002011000-100
χ47222-12-12-1-2-1-12-2-2001-2-111002011000-100-2-2-21-21-21211-22200-121-1-100-20-1-1000100
χ4822-1222-1-12-12-100222-1-1-1-1000200-1-100-10-2-21-2-2-211-21-2100-2-2-21111000-200110010
χ4922-1222-1-12-12-100-2-22-1-1-1-1000-200110010-2-21-2-2-211-21-210022-21111000200-1-100-10
χ5022-1222-1-1-2-12-10022-21-111000-200-1-10010-2-21-2-2-21121-2100-2-22-11-1-10002001100-10
χ5122-1222-1-1-2-12-100-2-2-21-1110002001100-10-2-21-2-2-21121-2100222-11-1-1000-200-1-10010
χ522-2220-2-220-200i2−i22−2000002i−2i00i2−i22−20000-22-2-2022-20200−i2i2−2200000−2i2i00−i2i2−220000
χ532-2220-2-220-200i2−i2−2200000−2i2i00i2−i2−220000-22-2-2022-20200−i2i22−2000002i−2i00−i2i22−20000
χ542-2220-2-220-200−i2i22−200000−2i2i00−i2i22−20000-22-2-2022-20200i2−i2−22000002i−2i00i2−i2−220000
χ552-2220-2-220-200−i2i2−22000002i−2i00−i2i2−220000-22-2-2022-20200i2−i22−200000−2i2i00i2−i22−20000
χ56444-2-4-24-20-22-4000000200000000000000-4-4-4242-4202-24000000-200000000000000
χ5744-24-44-2-20-2-42000000200000000000000-4-42-44-422024-2000000-200000000000000
χ5844-2-24-2-2141-2-20000-2-2111000000000000-4-422-422-1-4-122000022-1-1-1000000000000
χ5944-2-24-2-21-41-2-20000221-1-1000000000000-4-422-422-14-1220000-2-2-111000000000000
χ6044-2-2-4-2-210122000000-13-3000000000000-4-422422-10-1-2-20000001-33000000000000
χ6144-2-2-4-2-210122000000-1-33000000000000-4-422422-10-1-2-200000013-3000000000000
χ624-44-202-4-202002i2−2i200000000000−i2i2000000-44-420-2420-200−2i22i200000000000i2−i2000000
χ634-44-202-4-20200−2i22i200000000000i2−i2000000-44-420-2420-2002i2−2i200000000000−i2i2000000
χ644-4-240-42-202000022−2200000000000−220000-442-404-220-20000−2222000000000002−20000
χ654-4-240-42-2020000−2222000000000002−20000-442-404-220-2000022−2200000000000−220000
χ668-8-4-404420-200000000000000000000000-88440-4-4-20200000000000000000000000

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