Finite Group Databasebeta

← Group #10595334

Character table — Group #10595334

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222334444444666668888121212121212121818243611222223344444446666688881212121212121218182436
order12334664434612121212288121212121212246662424881222266466446461212121228812121212121224666242488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-11111111-1111-1-1-1-1-1-111111111111111111-1-11111111-1111-1-1-1-1-1-1
χ31111111111-111-1-1111111-11-1-1-1-11-1-11111-1-11111111111-111-1-1111111-11-1-1-1-11-1-11111-1-1
χ41111111111-111-1-111-1-111-11-1-1-111-1-1-1-1-1-1111111111111-111-1-111-1-111-11-1-1-111-1-1-1-1-1-111
χ51111111-1-11111111-111-1-11111-11-1-1-111-1-11-11111111-1-11111111-111-1-11111-11-1-1-111-1-11-1
χ61111111-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-111-111111111-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-111-11
χ71111111-1-11-111-1-11-111-1-1-11-1-11-1-11111-1-1-111111111-1-11-111-1-11-111-1-1-11-1-11-1-11111-1-1-11
χ81111111-1-11-111-1-11-1-1-1-1-1-11-1-111-111-1-1111-11111111-1-11-111-1-11-1-1-1-1-1-11-1-111-111-1-1111-1
χ92222-22222202-200-2-200220-20000-2000000002222-22222202-200-2-200220-20000-200000000
χ102222-222-2-2202-200-2200-2-20-200002000000002222-222-2-2202-200-2200-2-20-20000200000000
χ11222-12-1222-12-1-1-1-12200-1-12-1-1-120-1-1-1000000222-12-1222-12-1-1-1-12200-1-12-1-1-120-1-1-1000000
χ12222-12-1222-1-2-1-1112200-1-1-2-111-20-111000000222-12-1222-1-2-1-1112200-1-1-2-111-20-111000000
χ13222-12-12-2-2-12-1-1-1-12-200112-1-1-1-20111000000222-12-12-2-2-12-1-1-1-12-200112-1-1-1-20111000000
χ14222-12-12-2-2-1-2-1-1112-20011-2-111201-1-1000000222-12-12-2-2-1-2-1-1112-20011-2-111201-1-1000000
χ15222-1-2-1222-10-11−i3i3-2-200-1-101−i3i3001−i3i3000000222-1-2-1222-10-11−i3i3-2-200-1-101−i3i3001−i3i3000000
χ16222-1-2-1222-10-11i3−i3-2-200-1-101i3−i3001i3−i3000000222-1-2-1222-10-11i3−i3-2-200-1-101i3−i3001i3−i3000000
χ17222-1-2-12-2-2-10-11−i3i3-22001101−i3i300-1i3−i3000000222-1-2-12-2-2-10-11−i3i3-22001101−i3i300-1i3−i3000000
χ18222-1-2-12-2-2-10-11i3−i3-22001101i3−i300-1−i3i3000000222-1-2-12-2-2-10-11i3−i3-22001101i3−i300-1−i3i3000000
χ1922-1222-100-12-1222-102200-1-1-1-102000-1-100-1022-1222-100-12-1222-102200-1-1-1-102000-1-100-10
χ2022-1222-100-12-1222-10-2-200-1-1-1-10-200011001022-1222-100-12-1222-10-2-200-1-1-1-10-2000110010
χ2122-1222-100-1-2-12-2-2-1022001-1110-2000-1-1001022-1222-100-1-2-12-2-2-1022001-1110-2000-1-10010
χ2222-1222-100-1-2-12-2-2-10-2-2001-111020001100-1022-1222-100-1-2-12-2-2-10-2-2001-111020001100-10
χ232-2220-2-22i−2i20-2000002−22i−2i0000000002−2−i2i2002-2220-2-22i−2i20-2000002−22i−2i0000000002−2−i2i200
χ242-2220-2-22i−2i20-200000−222i−2i000000000−22i2−i2002-2220-2-22i−2i20-200000−222i−2i000000000−22i2−i200
χ252-2220-2-2−2i2i20-2000002−2−2i2i0000000002−2i2−i2002-2220-2-2−2i2i20-2000002−2−2i2i0000000002−2i2−i200
χ262-2220-2-2−2i2i20-200000−22−2i2i000000000−22−i2i2002-2220-2-2−2i2i20-200000−22−2i2i000000000−22−i2i200
χ2744-24-44-200-20-2-40020000002000000000000044-24-44-200-20-2-400200000020000000000000
χ2844-2-24-2-200141-2-2-2-200000-21110000000000044-2-24-2-200141-2-2-2-200000-211100000000000
χ2944-2-24-2-2001-41-222-20000021-1-10000000000044-2-24-2-2001-41-222-20000021-1-100000000000
χ3044-2-2-4-2-2001012−2i32i32000000-1i3−i30000000000044-2-2-4-2-2001012−2i32i32000000-1i3−i300000000000
χ3144-2-2-4-2-20010122i3−2i32000000-1−i3i30000000000044-2-2-4-2-20010122i3−2i32000000-1−i3i300000000000
χ324-44-202-44i−4i-2020000000−2i2i0000000000000004-44-202-44i−4i-2020000000−2i2i000000000000000
χ334-44-202-4−4i4i-20200000002i−2i0000000000000004-44-202-4−4i4i-20200000002i−2i000000000000000
χ344-4-240-4200-2020000022−2200000000000−2200004-4-240-4200-2020000022−2200000000000−220000
χ354-4-240-4200-20200000−2222000000000002−200004-4-240-4200-20200000−2222000000000002−20000
χ368-8-4-40440020-20000000000000000000000008-8-4-40440020-2000000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111-1-11111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1111111
χ391111111111-111-1-1111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11-11111-111-1-1-1-111
χ401111111111-111-1-111-1-111-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11-1111-1-1111111-1-1
χ411111111-1-11111111-111-1-11111-11-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-11-1111-1-111-11
χ421111111-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-11111111-1-11-1
χ431111111-1-11-111-1-11-111-1-1-11-1-11-1-11111-1-1-11-1-1-1-1-1-1-111-11-1-111-11-1-1111-111-111-1-1-1-1111-1
χ441111111-1-11-111-1-11-1-1-1-1-1-11-1-111-111-1-1111-1-1-1-1-1-1-1-111-11-1-111-1111111-111-1-11-1-111-1-1-11
χ452222-22222202-200-2-200220-20000-200000000-2-2-2-22-2-2-2-2-20-22002200-2-2020000200000000
χ462222-222-2-2202-200-2200-2-20-20000200000000-2-2-2-22-2-222-20-22002-20022020000-200000000
χ47222-12-1222-12-1-1-1-12200-1-12-1-1-120-1-1-1000000-2-2-21-21-2-2-21-21111-2-20011-2111-20111000000
χ48222-12-1222-1-2-1-1112200-1-1-2-111-20-111000000-2-2-21-21-2-2-21211-1-1-2-2001121-1-1201-1-1000000
χ49222-12-12-2-2-12-1-1-1-12-200112-1-1-1-20111000000-2-2-21-21-2221-21111-2200-1-1-211120-1-1-1000000
χ50222-12-12-2-2-1-2-1-1112-20011-2-111201-1-1000000-2-2-21-21-2221211-1-1-2200-1-121-1-1-20-111000000
χ51222-1-2-1222-10-11−i3i3-2-200-1-101−i3i3001−i3i3000000-2-2-2121-2-2-2101-1i3−i32200110-1i3−i300-1i3−i3000000
χ52222-1-2-1222-10-11i3−i3-2-200-1-101i3−i3001i3−i3000000-2-2-2121-2-2-2101-1−i3i32200110-1−i3i300-1−i3i3000000
χ53222-1-2-12-2-2-10-11−i3i3-22001101−i3i300-1i3−i3000000-2-2-2121-222101-1i3−i32-200-1-10-1i3−i3001−i3i3000000
χ54222-1-2-12-2-2-10-11i3−i3-22001101i3−i300-1−i3i3000000-2-2-2121-222101-1−i3i32-200-1-10-1−i3i3001i3−i3000000
χ5522-1222-100-12-1222-102200-1-1-1-102000-1-100-10-2-21-2-2-21001-21-2-2-210-2-20011110-2000110010
χ5622-1222-100-12-1222-10-2-200-1-1-1-10-2000110010-2-21-2-2-21001-21-2-2-2102200111102000-1-100-10
χ5722-1222-100-1-2-12-2-2-1022001-1110-2000-1-10010-2-21-2-2-2100121-22210-2-200-11-1-1020001100-10
χ5822-1222-100-1-2-12-2-2-10-2-2001-111020001100-10-2-21-2-2-2100121-222102200-11-1-10-2000-1-10010
χ592-2220-2-22i−2i20-2000002−22i−2i0000000002−2−i2i200-22-2-2022−2i2i-20200000−22−2i2i000000000−22i2−i200
χ602-2220-2-22i−2i20-200000−222i−2i000000000−22i2−i200-22-2-2022−2i2i-202000002−2−2i2i0000000002−2−i2i200
χ612-2220-2-2−2i2i20-2000002−2−2i2i0000000002−2i2−i200-22-2-20222i−2i-20200000−222i−2i000000000−22−i2i200
χ622-2220-2-2−2i2i20-200000−22−2i2i000000000−22−i2i200-22-2-20222i−2i-202000002−22i−2i0000000002−2i2−i200
χ6344-24-44-200-20-2-400200000020000000000000-4-42-44-4200202400-2000000-20000000000000
χ6444-2-24-2-200141-2-2-2-200000-211100000000000-4-422-42200-1-4-12222000002-1-1-100000000000
χ6544-2-24-2-2001-41-222-20000021-1-100000000000-4-422-42200-14-12-2-2200000-2-11100000000000
χ6644-2-2-4-2-2001012−2i32i32000000-1i3−i300000000000-4-42242200-10-1-22i3−2i3-20000001−i3i300000000000
χ6744-2-2-4-2-20010122i3−2i32000000-1−i3i300000000000-4-42242200-10-1-2−2i32i3-20000001i3−i300000000000
χ684-44-202-44i−4i-2020000000−2i2i000000000000000-44-420-24−4i4i20-200000002i−2i000000000000000
χ694-44-202-4−4i4i-20200000002i−2i000000000000000-44-420-244i−4i20-20000000−2i2i000000000000000
χ704-4-240-4200-2020000022−2200000000000−220000-442-404-20020-200000−2222000000000002−20000
χ714-4-240-4200-20200000−2222000000000002−20000-442-404-20020-20000022−2200000000000−220000
χ728-8-4-40440020-2000000000000000000000000-88440-4-400-202000000000000000000000000

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