Finite Group Databasebeta

← Group #72316814

Character table — Group #72316814

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1111222222224444444444444448888888888888888888888161616161616161616161616323232323232323232323232323232323232
order1222222244442222222444444442222244444444444444444224444448888444444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111
χ71111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ91111-1-1111-1-111-1-1-111111-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-11-111-1-111-1-11-111-1-1
χ101111-1-1111-1-111-1-1-111111-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-11-1-111
χ111111-1-1111-1-111-1-1-111111-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-11-1-111
χ121111-1-1111-1-111-1-1-111111-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-11-11-1-111-1-1111-111-1-1
χ131111-1-1111-1-111-1-1-111111-1-1-1111-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-11-11-1-1-111-1-1111-1-1-111
χ141111-1-1111-1-111-1-1-111111-1-1-1111-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11-1-11111-1-1-1111-1-1
χ151111-1-1111-1-111-1-1-111111-1-1-1111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-111-111-1-1-1-111-1111-1-1
χ161111-1-1111-1-111-1-1-111111-1-1-1111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-11-1111-1-111-1-11-1-1-111
χ172222222222222222-2-22-2-22-2-22-2-2-20000-200002-22-20000000000002222000000-2-200000000000000
χ182222222222222222-2-22-2-22-2-22-2-2-20000-200002-22-2000000000000-2-2-2-20000002200000000000000
χ19222222222222-22-2-222-2-2-22222-2-220000-20000-22-2-200000000222200000000-2-20000000000000000
χ20222222222222-22-2-222-2-2-22222-2-220000-20000-22-2-200000000-2-2-2-200000000220000000000000000
χ21222222222222-22-2-2-2-2-2222-2-2222-2000020000-2-2-2200000000000000002222000000000000-2-20000
χ22222222222222-22-2-2-2-2-2222-2-2222-2000020000-2-2-220000000000000000-2-2-2-2000000000000220000
χ2322222222-2-2-2-2222222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ2422222222-2-2-2-2222222222-2-2-2-2-2-22-2-2-2-22-2-2-2-2-2-2-2-222222222000000000000000000000000000000
χ2522222222-2-2-2-22222-2-22-2-2-222-222-20000-20000-22-2200000000000000000000000000002-22-2000000
χ2622222222-2-2-2-22222-2-22-2-2-222-222-20000-20000-22-220000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-22-2-222-2-2-2-2-2-2-22220000-200002-2220000000000000000000000002-22-20000000000
χ2822222222-2-2-2-2-22-2-222-2-2-2-2-2-2-22220000-200002-222000000000000000000000000-22-220000000000
χ2922222222-2-2-2-2-22-2-2-2-2-222-222-2-2-2-2000020000222-200000000000000000000000000000000002i−2i2i−2i
χ3022222222-2-2-2-2-22-2-2-2-2-222-222-2-2-2-2000020000222-20000000000000000000000000000000000−2i2i−2i2i
χ312222-2-2222-2-222-2-2-2-2-22-2-2-2222-2-220000200002-2-2200000000000022-2-2000000-2200000000000000
χ322222-2-2222-2-222-2-2-2-2-22-2-2-2222-2-220000200002-2-22000000000000-2-2220000002-200000000000000
χ332222-2-2222-2-22-2-22222-2-2-2-2-2-22-2-2-2000020000-22220000000022-2-200000000-220000000000000000
χ342222-2-2222-2-22-2-22222-2-2-2-2-2-22-2-2-2000020000-222200000000-2-222000000002-20000000000000000
χ352222-2-2222-2-22-2-222-2-2-222-22222220000-20000-2-22-2000000000000000022-2-2000000000000-220000
χ362222-2-2222-2-22-2-222-2-2-222-22222220000-20000-2-22-20000000000000000-2-2220000000000002-20000
χ372222-2-222-222-22-2-2-222222222-2-2-2-222-2-2-222-2-2-2-222-2-2-2-22222000000000000000000000000000000
χ382222-2-222-222-22-2-2-222222222-2-2-2-2-2-222-2-2-222-2-2222222-2-2-2-2000000000000000000000000000000
χ392222-2-222-222-22-2-2-2-2-22-2-22-2-2-2222000020000-222-200000000000000000000000000002-2-22000000
χ402222-2-222-222-22-2-2-2-2-22-2-22-2-2-2222000020000-222-20000000000000000000000000000-222-2000000
χ412222-2-222-222-2-2-22222-2-2-2222-222-20000200002-2-2-20000000000000000000000002-2-220000000000
χ422222-2-222-222-2-2-22222-2-2-2222-222-20000200002-2-2-2000000000000000000000000-222-20000000000
χ432222-2-222-222-2-2-222-2-2-2222-2-2-2-2-220000-2000022-2200000000000000000000000000000000002i−2i−2i2i
χ442222-2-222-222-2-2-222-2-2-2222-2-2-2-2-220000-2000022-220000000000000000000000000000000000−2i2i2i−2i
χ45444444-4-444440-40000000-400-400022220-2-2-2-2000022-2-222-2-2000000000000000000000000000000
χ46444444-4-444440-40000000-400-4000-2-2-2-2022220000-2-222-2-222000000000000000000000000000000
χ47444444-4-4-4-4-4-40-40000000400400022220-2-2-2-20000-2-222-2-222000000000000000000000000000000
χ48444444-4-4-4-4-4-40-400000004004000-2-2-2-202222000022-2-222-2-2000000000000000000000000000000
χ494444-4-4-4-44-4-44040000000400-400022-2-20-2-222000022-2-2-2-222000000000000000000000000000000
χ504444-4-4-4-44-4-44040000000400-4000-2-222022-2-20000-2-22222-2-2000000000000000000000000000000
χ514444-4-4-4-4-444-4040000000-400400022-2-20-2-2220000-2-22222-2-2000000000000000000000000000000
χ524444-4-4-4-4-444-4040000000-4004000-2-222022-2-2000022-2-2-2-222000000000000000000000000000000
χ5344-4-4004-4000040004-4-44-40000000004-40004-4000000000000000000000000000000000000000000
χ5444-4-4004-4000040004-4-44-4000000000-44000-44000000000000000000000000000000000000000000
χ5544-4-4004-400004000-44-4-4400000004-40004-400000000000000000000000000000000000000000000
χ5644-4-4004-400004000-44-4-440000000-44000-4400000000000000000000000000000000000000000000
χ5744-4-4004-40000-40004-44-44000000000000000000004i−4i4i−4i0000000000000000000000000000000000
χ5844-4-4004-40000-40004-44-4400000000000000000000−4i4i−4i4i0000000000000000000000000000000000
χ5944-4-4004-40000-4000-4444-40000000000000000000000004i−4i4i−4i000000000000000000000000000000
χ6044-4-4004-40000-4000-4444-4000000000000000000000000−4i4i−4i4i000000000000000000000000000000
χ6144-4-400-440000004-40000004i−4i04i−4i02-22-20-22-2200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6244-4-400-440000004-40000004i−4i04i−4i0-22-2202-22-20000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6344-4-400-440000004-4000000−4i4i0−4i4i02-22-20-22-220000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6444-4-400-440000004-4000000−4i4i0−4i4i0-22-2202-22-200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6544-4-400-44000000-440000004i−4i0−4i4i02-2-220-222-20000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ6644-4-400-44000000-440000004i−4i0−4i4i0-222-202-2-2200002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6744-4-400-44000000-44000000−4i4i04i−4i02-2-220-222-200002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6844-4-400-44000000-44000000−4i4i04i−4i0-222-202-2-220000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ694-44-44-40044-4-400000000000000000000000000000000000002-22-22i−2i2i−2i2i−2i2i−2i000000000000000000
χ704-44-44-40044-4-400000000000000000000000000000000000002-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000
χ714-44-44-40044-4-40000000000000000000000000000000000000-22-222i−2i2i−2i−2i2i−2i2i000000000000000000
χ724-44-44-40044-4-40000000000000000000000000000000000000-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000
χ734-44-4-44004-44-400000000000000000000000000000000000002-2-222i−2i−2i2i2i−2i−2i2i000000000000000000
χ744-44-4-44004-44-400000000000000000000000000000000000002-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000
χ754-44-4-44004-44-40000000000000000000000000000000000000-222-22i−2i−2i2i−2i2i2i−2i000000000000000000
χ764-44-4-44004-44-40000000000000000000000000000000000000-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000
χ778-88-88-800-8-8880000000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-8800-88-880000000000000000000000000000000000000000000000000000000000000000000
χ7916-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000

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