Finite Group Databasebeta

← Group #274864

Character table — Group #274864

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444222444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ10111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-11
χ11111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-11
χ12111111111-1-1-1-11111111-1-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-11-1
χ13111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-11
χ14111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1
χ15111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1111-1
χ16111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-1-11
χ172222222222222-2-222-2-2222-2-2-2-2-222-2-2-2-222000000000000000000000000000000
χ182222222222222-2-222-2-2222-2-2-2-2-2-2-22222-2-2000000000000000000000000000000
χ19222222222-2-2-2-2-2-222-2-22-2-222-2-2222-2-222-2-2000000000000000000000000000000
χ20222222222-2-2-2-2-2-222-2-22-2-222-2-22-2-222-2-222000000000000000000000000000000
χ2122222222-2222222-2-222-2-2-222-2-2-20000000022220000-2-2-2-2000000000000000000
χ2222222222-2222222-2-222-2-2-222-2-2-200000000-2-2-2-200002222000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-2-2-22220000000000000000000000000000002i−2i2i−2i0000
χ2422222222-22222-2-2-2-2-2-2-2-2-2-2-2222000000000000000000000000000000−2i2i−2i2i0000
χ2522222222-2-2-2-2-222-2-222-222-2-2-2-220000000022-2-20000-2-222000000000000000000
χ2622222222-2-2-2-2-222-2-222-222-2-2-2-2200000000-2-222000022-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000000000−2i2i2i−2i0000
χ292-2222-2-2-202i2i−2i−2i2-2002-20002i−2i000000000002-22i−2i22−2−20000i2i2−i2−i200002−20000i2−i200
χ302-2222-2-2-202i2i−2i−2i2-2002-20002i−2i000000000002-22i−2i−2−2220000−i2−i2i2i20000−220000−i2i200
χ312-2222-2-2-202i2i−2i−2i2-2002-20002i−2i00000000000-22−2i2i22−2−20000i2i2−i2−i20000−220000−i2i200
χ322-2222-2-2-202i2i−2i−2i2-2002-20002i−2i00000000000-22−2i2i−2−2220000−i2−i2i2i200002−20000i2−i200
χ332-2222-2-2-20−2i−2i2i2i2-2002-2000−2i2i000000000002-2−2i2i22−2−20000−i2−i2i2i200002−20000−i2i200
χ342-2222-2-2-20−2i−2i2i2i2-2002-2000−2i2i000000000002-2−2i2i−2−2220000i2i2−i2−i20000−220000i2−i200
χ352-2222-2-2-20−2i−2i2i2i2-2002-2000−2i2i00000000000-222i−2i22−2−20000−i2−i2i2i20000−220000i2−i200
χ362-2222-2-2-20−2i−2i2i2i2-2002-2000−2i2i00000000000-222i−2i−2−2220000i2i2−i2−i200002−20000−i2i200
χ372-22-2-22-22200002-22-2-22-200002-2000002-22-20000000000002i−2i2i−2i2i−2i000000000000
χ382-22-2-22-22200002-22-2-22-200002-2000002-22-2000000000000−2i2i−2i2i−2i2i000000000000
χ392-22-2-22-22200002-22-2-22-200002-200000-22-220000000000002i−2i2i−2i−2i2i000000000000
χ402-22-2-22-22200002-22-2-22-200002-200000-22-22000000000000−2i2i−2i2i2i−2i000000000000
χ412-22-2-22-2220000-222-22-2-20000-22000002-2-2200002i−2i2i−2i00000000002i−2i0000000000
χ422-22-2-22-2220000-222-22-2-20000-22000002-2-220000−2i2i−2i2i0000000000−2i2i0000000000
χ432-22-2-22-2220000-222-22-2-20000-2200000-222-200002i−2i2i−2i0000000000−2i2i0000000000
χ442-22-2-22-2220000-222-22-2-20000-2200000-222-20000−2i2i−2i2i00000000002i−2i0000000000
χ45444-4-4-44-4000004400-4-4000000000000000000000000000022−22−222200000000000000
χ46444-4-4-44-4000004400-4-40000000000000000000000000000−222222−2200000000000000
χ47444-4-4-44-400000-4-40044000000000000000000002i2−2i2−2i22i20000000000000000000000
χ48444-4-4-44-400000-4-4004400000000000000000000−2i22i22i2−2i20000000000000000000000
χ4944-44-44-4-44000000-4400-400000004-4000000000000000000000000000000000000
χ5044-44-44-4-44000000-4400-40000000-44000000000000000000000000000000000000
χ5144-44-44-4-4-40000004-40040000000004i−4i0000000000000000000000000000000000
χ5244-44-44-4-4-40000004-4004000000000−4i4i0000000000000000000000000000000000
χ5344-4-44-4-4404-44-40000000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ5444-4-44-4-4404-44-4000000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ5544-4-44-4-440-44-440000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5644-4-44-4-440-44-44000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ574-4444-4-4-404i4i−4i−4i-4400-44000−4i4i00000000000000000000000000000000000000000
χ584-4444-4-4-40−4i−4i4i4i-4400-440004i−4i00000000000000000000000000000000000000000
χ594-44-4-44-44-400004-4-44-4440000-44000000000000000000000000000000000000000
χ604-44-4-44-44-40000-44-444-4400004-4000000000000000000000000000000000000000
χ614-4-4-4444-444i−4i−4i4i00-4-40044i−4i0000000000000000000000000000000000000000000
χ624-4-4-4444-44−4i4i4i−4i00-4-4004−4i4i0000000000000000000000000000000000000000000
χ634-4-4-4444-4-44i−4i−4i4i004400-4−4i4i0000000000000000000000000000000000000000000
χ644-4-4-4444-4-4−4i4i4i−4i004400-44i−4i0000000000000000000000000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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