Finite Group Databasebeta

← Group #10876254

Character table — Group #10876254

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222222244448888888888888888888888888812121212121212121616161616161616242424242424242424242424
order122222223444466666661212121244444444448888121212122424242424242424224444441212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ9111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ10111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1
χ11111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1
χ12111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ13111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ14111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111
χ15111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ17222222222-2-2-2-22222222-2-2-2-200002-20000000022-2-2000000002222-2-2-2-200000000000000000000
χ18222222222-2-2-2-22222222-2-2-2-200002-20000000022-2-200000000-2-2-2-2222200000000000000000000
χ19222222222-2-2-2-22222222-2-2-2-20000-2200000000-2-2220000000022-2-222-2-200000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-20000-2200000000-2-22200000000-2-222-2-22200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-11111111100000000-1-1-1-11111000000000000
χ2322222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-222-2-21111-1-1-1-1111100000000-1-11111-1-1000000000000
χ2422222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-2-22211111111-1-1-1-100000000-1-111-1-111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222-2-2-2-22211111111-1-1-1-10000000011-1-111-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22222-2-21111-1-1-1-111110000000011-1-1-1-111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-2-1-1-1-111111111000000001111-1-1-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000000000
χ292-222-2-22-2222-2-2-2-2-222-22-2-2220000002-2000000000000000000002i−2i2i−2i000000002-20000002i−2i0000
χ302-222-2-22-2222-2-2-2-2-222-22-2-2220000002-200000000000000000000−2i2i−2i2i000000002-2000000−2i2i0000
χ312-222-2-22-2222-2-2-2-2-222-22-2-222000000-22000000000000000000002i−2i2i−2i00000000-22000000−2i2i0000
χ322-222-2-22-2222-2-2-2-2-222-22-2-222000000-2200000000000000000000−2i2i−2i2i00000000-220000002i−2i0000
χ332-222-2-22-22-2-222-2-2-222-2222-2-2000000002i−2i0000000000000000002i−2i−2i2i0000002i−2i002-20000000000
χ342-222-2-22-22-2-222-2-2-222-2222-2-2000000002i−2i000000000000000000−2i2i2i−2i0000002i−2i00-220000000000
χ352-222-2-22-22-2-222-2-2-222-2222-2-200000000−2i2i0000000000000000002i−2i−2i2i000000−2i2i00-220000000000
χ362-222-2-22-22-2-222-2-2-222-2222-2-200000000−2i2i000000000000000000−2i2i2i−2i000000−2i2i002-20000000000
χ372-2-2-2222-222-22-2-222-2-2-222-22-2002i−2i00000000000000000000002-200002-2002i−2i000000002i−2i000000
χ382-2-2-2222-222-22-2-222-2-2-222-22-2002i−2i0000000000000000000000-220000-22002i−2i00000000−2i2i000000
χ392-2-2-2222-222-22-2-222-2-2-222-22-200−2i2i00000000000000000000002-200002-200−2i2i00000000−2i2i000000
χ402-2-2-2222-222-22-2-222-2-2-222-22-200−2i2i0000000000000000000000-220000-2200−2i2i000000002i−2i000000
χ412-2-2-2222-22-22-22-222-2-2-22-22-222i−2i0000000000000000000000002-20000-222i−2i000000002i−2i00000000
χ422-2-2-2222-22-22-22-222-2-2-22-22-222i−2i000000000000000000000000-2200002-22i−2i00000000−2i2i00000000
χ432-2-2-2222-22-22-22-222-2-2-22-22-22−2i2i0000000000000000000000002-20000-22−2i2i00000000−2i2i00000000
χ442-2-2-2222-22-22-22-222-2-2-22-22-22−2i2i000000000000000000000000-2200002-2−2i2i000000002i−2i00000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-2222200004-400000000-2-222000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-222220000-440000000022-2-2000000000000000000000000000000000000
χ47444-44-4-4-44000044-44-4-4-400000000000000000000000000000000000000000000000000000022−2200
χ48444-44-4-4-44000044-44-4-4-4000000000000000000000000000000000000000000000000000000−222200
χ4944-44-44-4-4400004-44-44-4-40000000000000000000000000000000000000000000000000000000022−22
χ5044-44-44-4-4400004-44-44-4-400000000000000000000000000000000000000000000000000000000−2222
χ5144-4-4-4-44444-4-444-4-4-4-444-444-4000000000000000000000000000000000000000000000000000000
χ5244-4-4-4-4444-444-44-4-4-4-4444-4-44000000000000000000000000000000000000000000000000000000
χ5344-4-4-4-444-24-4-44-22222-2-22-2-2200000000000000000000002323−23−230000000000000000000000000000
χ5444-4-4-4-444-24-4-44-22222-2-22-2-220000000000000000000000−23−2323230000000000000000000000000000
χ5544-4-4-4-444-2-444-4-22222-2-2-222-20000000000000000002323−23−2300000000000000000000000000000000
χ5644-4-4-4-444-2-444-4-22222-2-2-222-2000000000000000000−23−23232300000000000000000000000000000000
χ574-444-4-44-4-244-4-4222-2-22-222-2-20000004-400000000000000000000000000000000-22000000000000
χ584-444-4-44-4-244-4-4222-2-22-222-2-2000000-44000000000000000000000000000000002-2000000000000
χ594-444-4-44-4-2-4-444222-2-22-2-2-222000000004i−4i0000000000000000000000000000−2i2i00000000000000
χ604-444-4-44-4-2-4-444222-2-22-2-2-22200000000−4i4i00000000000000000000000000002i−2i00000000000000
χ614-44-4-44-4440000-4-444-44-4000000000000000022−220000000022−2222−220000000000000000000000000000
χ624-44-4-44-4440000-4-444-44-40000000000000000−222200000000−2222−22220000000000000000000000000000
χ634-44-4-44-44-2000022-2-22-22000000000000000022−2223−23006−66−6−22−220000000000000000000000000000
χ644-44-4-44-44-2000022-2-22-22000000000000000022−22−232300−66−66−22−220000000000000000000000000000
χ654-44-4-44-44-2000022-2-22-220000000000000000−222223−2300−66−662−22−20000000000000000000000000000
χ664-44-4-44-44-2000022-2-22-220000000000000000−2222−2323006−66−62−22−20000000000000000000000000000
χ674-4-444-4-4440000-44-4-444-40000000000000022−2200000022−22−222200000000000000000000000000000000
χ684-4-444-4-4440000-44-4-444-400000000000000−2222000000−222222−2200000000000000000000000000000000
χ694-4-444-4-44-200002-222-2-220000000000000022−22000023−23−222−26−6−660000000000000000000000000000
χ704-4-444-4-44-200002-222-2-220000000000000022−220000−2323−222−2−666−60000000000000000000000000000
χ714-4-444-4-44-200002-222-2-2200000000000000−2222000023−232−2−22−666−60000000000000000000000000000
χ724-4-444-4-44-200002-222-2-2200000000000000−22220000−23232−2−226−6−660000000000000000000000000000
χ734-4-4-4444-4-24-44-42-2-2222-2-22-22004i−4i00000000000000000000000000000000−2i2i0000000000000000
χ744-4-4-4444-4-24-44-42-2-2222-2-22-2200−4i4i000000000000000000000000000000002i−2i0000000000000000
χ754-4-4-4444-4-2-44-442-2-2222-22-22-24i−4i00000000000000000000000000000000−2i2i000000000000000000
χ764-4-4-4444-4-2-44-442-2-2222-22-22-2−4i4i000000000000000000000000000000002i−2i000000000000000000
χ77888-88-8-8-8-40000-4-44-44440000000000000000000000000000000000000000000000000000000000
χ7888-88-88-8-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000

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