Finite Group Databasebeta

← Group #310213

Character table — Group #310213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888884444444488882
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111111-1-1-1
χ91111111111111111-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111-1-1-111-1-111-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11111-111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-1-111-1111111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111111-1-1111-1-1-1-1-1-11
χ17222222222-222-2-2-222222-20000-20000222200-2-20022-2-200000000000000-2000000000000
χ18222222222-222-2-2-222222-20000-20000-2-2-2-200-2-200-2-222000000000000002000000000000
χ19222222222-222-2-2-22-2-2-2-2-20000-200002222002200-2-2-2-2000000000000002000000000000
χ20222222222-222-2-2-22-2-2-2-2-20000-20000-2-2-2-2002200222200000000000000-2000000000000
χ2122222222-22-2-2222-20000-22222-2222200002200-2-200000000-2-20000000000000-20000000
χ2222222222-22-2-2222-20000-22222-2-2-2-2-20000-2-200-2-20000000022000000000000020000000
χ2322222222-22-2-2222-20000-2-2-2-2-2-222220000-2-2002200000000-2-2000000000000020000000
χ2422222222-22-2-2222-20000-2-2-2-2-2-2-2-2-2-2000022002200000000220000000000000-20000000
χ25222-2-22-2-2-202-2000222-2-200000022−2−22i2i−2i−2i0000002i−2i0022−2−22−20000i2i2−i2−i200000000i2−i2000
χ26222-2-22-2-2-202-2000222-2-200000022−2−2−2i−2i2i2i000000−2i2i0022−2−22−20000−i2−i2i2i200000000−i2i2000
χ27222-2-22-2-2-202-2000222-2-2000000−2−2222i2i−2i−2i0000002i−2i00−2−222−220000−i2−i2i2i200000000−i2i2000
χ28222-2-22-2-2-202-2000222-2-2000000−2−222−2i−2i2i2i000000−2i2i00−2−222−220000i2i2−i2−i200000000i2−i2000
χ29222-2-22-2-2-202-20002-2-22200000022−2−22i2i−2i−2i000000−2i2i00−2−2222−20000i2i2−i2−i200000000−i2i2000
χ30222-2-22-2-2-202-20002-2-22200000022−2−2−2i−2i2i2i0000002i−2i00−2−2222−20000−i2−i2i2i200000000i2−i2000
χ31222-2-22-2-2-202-20002-2-222000000−2−2222i2i−2i−2i000000−2i2i0022−2−2−220000−i2−i2i2i200000000i2−i2000
χ32222-2-22-2-2-202-20002-2-222000000−2−222−2i−2i2i2i0000002i−2i0022−2−2−220000i2i2−i2−i200000000−i2i2000
χ3322-2-22-22-20200-2-2200000022-2-202i−2i2i−2ii2−i2i2−i22i−2i000000i2−i2000000i2i2−i2−i22−22−200000000002−20
χ3422-2-22-22-20200-2-2200000022-2-202i−2i2i−2i−i2i2−i2i22i−2i000000−i2i2000000−i2−i2i2i2−22−220000000000−220
χ3522-2-22-22-20200-2-2200000022-2-20−2i2i−2i2ii2−i2i2−i2−2i2i000000i2−i2000000i2i2−i2−i2−22−220000000000−220
χ3622-2-22-22-20200-2-2200000022-2-20−2i2i−2i2i−i2i2−i2i2−2i2i000000−i2i2000000−i2−i2i2i22−22−200000000002−20
χ3722-2-22-22-20200-2-22000000-2-22202i−2i2i−2ii2−i2i2−i2−2i2i000000i2−i2000000−i2−i2i2i22−22−20000000000−220
χ3822-2-22-22-20200-2-22000000-2-22202i−2i2i−2i−i2i2−i2i2−2i2i000000−i2i2000000i2i2−i2−i2−22−2200000000002−20
χ3922-2-22-22-20200-2-22000000-2-2220−2i2i−2i2ii2−i2i2−i22i−2i000000i2−i2000000−i2−i2i2i2−22−2200000000002−20
χ4022-2-22-22-20200-2-22000000-2-2220−2i2i−2i2i−i2i2−i2i22i−2i000000−i2i2000000i2i2−i2−i22−22−20000000000−220
χ412-2-22-222-222-2-2-22-22000022i−2i2i−2i-20000000000002i−2i00002-22-200000000000000002i−2i00000
χ422-2-22-222-222-2-2-22-22000022i−2i2i−2i-20000000000002i−2i0000-22-220000000000000000−2i2i00000
χ432-2-22-222-222-2-2-22-2200002−2i2i−2i2i-2000000000000−2i2i00002-22-20000000000000000−2i2i00000
χ442-2-22-222-222-2-2-22-2200002−2i2i−2i2i-2000000000000−2i2i0000-22-2200000000000000002i−2i00000
χ452-2-22-222-2-2222-22-2-22i−2i2i−2i-22i−2i2i−2i200000000002i−2i−2i2i0000000000000000000002-200000000
χ462-2-22-222-2-2222-22-2-22i−2i2i−2i-2−2i2i−2i2i200000000002i−2i2i−2i000000000000000000000-2200000000
χ472-2-22-222-2-2222-22-2-2−2i2i−2i2i-22i−2i2i−2i20000000000−2i2i−2i2i000000000000000000000-2200000000
χ482-2-22-222-2-2222-22-2-2−2i2i−2i2i-2−2i2i−2i2i20000000000−2i2i2i−2i0000000000000000000002-200000000
χ492-2-22-222-2-2-2222-22-22i−2i2i−2i20000-20000000000−2i2i0000000000002i−2i2i−2i000002-20000000000
χ502-2-22-222-2-2-2222-22-22i−2i2i−2i20000-20000000000−2i2i000000000000−2i2i−2i2i00000-220000000000
χ512-2-22-222-2-2-2222-22-2−2i2i−2i2i20000-200000000002i−2i0000000000002i−2i2i−2i00000-220000000000
χ522-2-22-222-2-2-2222-22-2−2i2i−2i2i20000-200000000002i−2i000000000000−2i2i−2i2i000002-20000000000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ54444-4-44-4-440-44000-400000000002222−22−22000000000000000000−2222000000000000000000000
χ55444-4-44-4-440-44000-40000000000−22−22222200000000000000000022−22000000000000000000000
χ5644-44-4-4-440000000000000000002i2−2i2−2i22i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ5744-44-4-4-440000000000000000002i2−2i2−2i22i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ5844-44-4-4-44000000000000000000−2i22i22i2−2i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ5944-44-4-4-44000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ6044-4-44-44-40-40044-40000000000000002i2−2i22i2−2i200000000−2i22i2000000000000000000000000000
χ6144-4-44-44-40-40044-4000000000000000−2i22i2−2i22i2000000002i2−2i2000000000000000000000000000
χ624-44-4-4-44404004-4-40000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ634-44-4-4-44404004-4-4000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ644-44-4-4-4440-400-4440000000000000000000000000000000000022−22−222200000000000000000
χ654-44-4-4-4440-400-44400000000000000000000000000000000000−222222−2200000000000000000
χ664-4-44-444-44-4-4-44-4440000-400004000000000000000000000000000000000000000000000
χ674-4-4-444-44404-4000-44i−4i−4i4i000000000000000000000000000000000000000000000000000
χ684-4-4-444-44404-4000-4−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ694-4-4-444-44-40-440004000000000000000000000000000022−22−222200000000000000000000000
χ704-4-4-444-44-40-4400040000000000000000000000000000−222222−2200000000000000000000000
χ718-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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