Finite Group Databasebeta

← Group #311348

Character table — Group #311348

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888844444444448888888888888888222444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-111-1-1-11
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-111-1-1-1111-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1111-1-1-11
χ911111111111111111-1-1-1-111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-11-1-1-1-111
χ1011111111111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1
χ1111111111111111111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11111-1-1
χ1211111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-111
χ1311111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111111-1-1-1-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-111111-1-11-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1111-1-111-11
χ17222222222-2-22-2-222-22222-20000000000-2-22200-2-2-2-200000000220000000000000000
χ18222222222-2-22-2-222-22222-20000000000-2-2-2-200222200000000-2-20000000000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000000000222200-2-22200000000-2-20000000000000000
χ20222222222-2-22-2-222-2-2-2-2-2-2000000000022-2-20022-2-200000000220000000000000000
χ2122222222-222-222-2-2-20000-22222-2-2-2-222000022000000000000000000-20000-2000000
χ2222222222-222-222-2-2-20000-22222-2-2-2-2-2-20000-2-2000000000000000000200002000000
χ2322222222-222-222-2-2-20000-2-2-2-2-22222220000-2-2000000000000000000-200002000000
χ2422222222-222-222-2-2-20000-2-2-2-2-22222-2-200002200000000000000000020000-2000000
χ25222-2-22-2-22-2-2-2222-2-2000022i2i−2i−2i2i2i−2i−2i0000000000000000000000000002-22i−2i0000000
χ26222-2-22-2-22-2-2-2222-2-2000022i2i−2i−2i2i2i−2i−2i000000000000000000000000000-22−2i2i0000000
χ27222-2-22-2-22-2-2-2222-2-200002−2i−2i2i2i−2i−2i2i2i0000000000000000000000000002-2−2i2i0000000
χ28222-2-22-2-22-2-2-2222-2-200002−2i−2i2i2i−2i−2i2i2i000000000000000000000000000-222i−2i0000000
χ29222-2-22-2-2-2222-2-2-22-22i2i−2i−2i200000000002i−2i0000000000002i2i−2i−2i0022-2-2000000000000
χ30222-2-22-2-2-2222-2-2-22-22i2i−2i−2i200000000002i−2i000000000000−2i−2i2i2i00-2-222000000000000
χ31222-2-22-2-2-2222-2-2-22-2−2i−2i2i2i20000000000−2i2i0000000000002i2i−2i−2i00-2-222000000000000
χ32222-2-22-2-2-2222-2-2-22-2−2i−2i2i2i20000000000−2i2i000000000000−2i−2i2i2i0022-2-2000000000000
χ33222-2-22-2-2-2-2-2222-2222i2i−2i−2i-22i2i−2i−2i−2i−2i2i2i00−2i2i0000000022-2-20000000000000000000000
χ34222-2-22-2-2-2-2-2222-2222i2i−2i−2i-2−2i−2i2i2i2i2i−2i−2i00−2i2i00000000-2-2220000000000000000000000
χ35222-2-22-2-2-2-2-2222-222−2i−2i2i2i-22i2i−2i−2i−2i−2i2i2i002i−2i00000000-2-2220000000000000000000000
χ36222-2-22-2-2-2-2-2222-222−2i−2i2i2i-2−2i−2i2i2i2i2i−2i−2i002i−2i0000000022-2-20000000000000000000000
χ372-2222-2-2-2-2002002-202i−2i2i−2i0i2−i2i2−i2i2−i2i2−i2000000002i−2i2-22−22−22−22−200i2−i2i2−i2000000000000
χ382-2222-2-2-2-2002002-202i−2i2i−2i0i2−i2i2−i2i2−i2i2−i200000000−2i2i-222−22−2−22−2200−i2i2−i2i2000000000000
χ392-2222-2-2-2-2002002-202i−2i2i−2i0−i2i2−i2i2−i2i2−i2i2000000002i−2i2-2−22−22−22−2200−i2i2−i2i2000000000000
χ402-2222-2-2-2-2002002-202i−2i2i−2i0−i2i2−i2i2−i2i2−i2i200000000−2i2i-22−22−222−22−200i2−i2i2−i2000000000000
χ412-2222-2-2-2-2002002-20−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i2000000002i−2i-22−22−222−22−200−i2i2−i2i2000000000000
χ422-2222-2-2-2-2002002-20−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i200000000−2i2i2-2−22−22−22−2200i2−i2i2−i2000000000000
χ432-2222-2-2-2-2002002-20−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i2000000002i−2i-222−22−2−22−2200i2−i2i2−i2000000000000
χ442-2222-2-2-2-2002002-20−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i200000000−2i2i2-22−22−22−22−200−i2i2−i2i2000000000000
χ452-22-2-2-222200200-2-202-2-2202−2−22−222−200002i−2i0000002−2−22i2−i2−i2i22i−2i−i2i2i2−i2000000000000
χ462-22-2-2-222200200-2-202-2-2202−2−22−222−20000−2i2i0000002−2−22−i2i2i2−i2−2i2ii2−i2−i2i2000000000000
χ472-22-2-2-222200200-2-202-2-220−222−22−2−2200002i−2i000000−222−2−i2i2i2−i22i−2ii2−i2−i2i2000000000000
χ482-22-2-2-222200200-2-202-2-220−222−22−2−220000−2i2i000000−222−2i2−i2−i2i2−2i2i−i2i2i2−i2000000000000
χ492-22-2-2-222200200-2-20-222-202−2−22−222−200002i−2i000000−222−2i2−i2−i2i2−2i2ii2−i2−i2i2000000000000
χ502-22-2-2-222200200-2-20-222-202−2−22−222−20000−2i2i000000−222−2−i2i2i2−i22i−2i−i2i2i2−i2000000000000
χ512-22-2-2-222200200-2-20-222-20−222−22−2−2200002i−2i0000002−2−22−i2i2i2−i2−2i2i−i2i2i2−i2000000000000
χ522-22-2-2-222200200-2-20-222-20−222−22−2−220000−2i2i0000002−2−22i2−i2−i2i22i−2ii2−i2−i2i2000000000000
χ5344444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000000
χ54444-4-44-4-4444-4-4-44-440000-40000000000000000000000000000000000000000000000
χ5544-44-4-44-404-404-40000000000000000000000000000000000000000000000002i2−2i20000
χ5644-44-4-44-404-404-4000000000000000000000000000000000000000000000000−2i22i20000
χ5744-44-4-44-40-440-4400000000000000004i−4i000000000000000000000000000000000000
χ5844-44-4-44-40-440-440000000000000000−4i4i000000000000000000000000000000000000
χ5944-4-44-4-4404-40-4400000000000000000000004i−4i000000000000000000000000000000
χ6044-4-44-4-4404-40-440000000000000000000000−4i4i000000000000000000000000000000
χ6144-4-44-4-440-4404-4000000000000000000000000000000000000000000000000002i2−2i200
χ6244-4-44-4-440-4404-400000000000000000000000000000000000000000000000000−2i22i200
χ634-4444-4-4-4400-400-440000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ644-4444-4-4-4400-400-44000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ654-44-4-4-444-400-4004400000022−22−222222−22−222200000000000000000000000000000000000000
χ664-44-4-4-444-400-40044000000−222222−22−222222−2200000000000000000000000000000000000000
χ678-8-88-88-88000000000000000000000000000000000000000000000000000000000000
χ688-8-8-8888-8000000000000000000000000000000000000000000000000000000000000

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