Finite Group Databasebeta

← Group #286152

Character table — Group #286152

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444488888888888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
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
χ9111111111-1-1-1-11111111-1-111-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-11
χ10111111111-1-1-1-11111111-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-1
χ11111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111-1-1111-1
χ12111111111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-111-1-1-1-111-11
χ13111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1111-1
χ14111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-11-1-111-1-111-11
χ15111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-1-1-11111-1-1-11
χ16111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111-1-1111-1-111-1-11-1
χ172222222222222-2-2-2222-2-2-2-2-222-200000000000000000000000022-2-20000000000
χ182222222222222-2-2-2222-2-2-2-2-222-2000000000000000000000000-2-2220000000000
χ19222222222-2-2-2-2-2-2-2222-222-2-2-2-220000000000000000000000002-22-20000000000
χ20222222222-2-2-2-2-2-2-2222-222-2-2-2-22000000000000000000000000-22-220000000000
χ2122222222-22222222-2-2-2222-2-2-2-2-222-2-22200000000-2-20000000000000000000000
χ2222222222-22222222-2-2-2222-2-2-2-2-2-2-222-2-200000000220000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-222-2-2200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-222-2-220000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2522222222-2-2-2-2-2222-2-2-22-2-2-2-222222-2-2-2-200000000220000000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-2-2-2-2222-2-2222200000000-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ29222-22-2-2-2022-2-22-2-200022-200000002-200i2i2−i2−i2i2i2−i2−i22-20000000000000000i2−i2i2−i200
χ30222-22-2-2-2022-2-22-2-200022-200000002-200−i2−i2i2i2−i2−i2i2i22-20000000000000000−i2i2−i2i200
χ31222-22-2-2-2022-2-22-2-200022-20000000-2200i2i2−i2−i2i2i2−i2−i2-220000000000000000−i2i2−i2i200
χ32222-22-2-2-2022-2-22-2-200022-20000000-2200−i2−i2i2i2−i2−i2i2i2-220000000000000000i2−i2i2−i200
χ33222-22-2-2-20-2-2222-2-20002-2200000002-200i2i2−i2−i2−i2−i2i2i2-220000000000000000i2−i2−i2i200
χ34222-22-2-2-20-2-2222-2-20002-2200000002-200−i2−i2i2i2i2i2−i2−i2-220000000000000000−i2i2i2−i200
χ35222-22-2-2-20-2-2222-2-20002-220000000-2200i2i2−i2−i2−i2−i2i2i22-20000000000000000−i2i2i2−i200
χ36222-22-2-2-20-2-2222-2-20002-220000000-2200−i2−i2i2i2i2i2−i2−i22-20000000000000000i2−i2−i2i200
χ372-2-222-22-220000-22-22-2-22002-20000000002i−2i2i−2i00000000002-22-20000002i−2i000000
χ382-2-222-22-220000-22-22-2-22002-20000000002i−2i2i−2i0000000000-22-22000000−2i2i000000
χ392-2-222-22-220000-22-22-2-22002-2000000000−2i2i−2i2i00000000002-22-2000000−2i2i000000
χ402-2-222-22-220000-22-22-2-22002-2000000000−2i2i−2i2i0000000000-22-220000002i−2i000000
χ412-2-222-22-2-200002-22-222-2002-200000000000002-22-20000002i−2i−2i2i00002i−2i00000000
χ422-2-222-22-2-200002-22-222-2002-200000000000002-22-2000000−2i2i2i−2i0000−2i2i00000000
χ432-2-222-22-2-200002-22-222-2002-20000000000000-22-220000002i−2i−2i2i0000−2i2i00000000
χ442-2-222-22-2-200002-22-222-2002-20000000000000-22-22000000−2i2i2i−2i00002i−2i00000000
χ45444-44-4-4-4044-4-4-444000-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-40-4-444-444000-44-40000000000000000000000000000000000000000000
χ4744-44-44-4-440000000-44-400000000000000000000000022−2222−22000000000000000000
χ4844-44-44-4-440000000-44-4000000000000000000000000−2222−2222000000000000000000
χ4944-44-44-4-4-400000004-440000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-44-44-4-4-400000004-44000000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-444-4-4-4444i−4i4i−4i000-4-44000004i−4i000000000000000000000000000000000000000
χ524-444-4-4-444−4i4i−4i4i000-4-4400000−4i4i000000000000000000000000000000000000000
χ534-444-4-4-44-44i−4i4i−4i00044-400000−4i4i000000000000000000000000000000000000000
χ544-444-4-4-44-4−4i4i−4i4i00044-4000004i−4i000000000000000000000000000000000000000
χ554-44-4-444-404i−4i−4i4i000000000000002i2−2i20022−2200000000000000000000000000000000
χ564-44-4-444-404i−4i−4i4i00000000000000−2i22i200−222200000000000000000000000000000000
χ574-44-4-444-40−4i4i4i−4i000000000000002i2−2i200−222200000000000000000000000000000000
χ584-44-4-444-40−4i4i4i−4i00000000000000−2i22i20022−2200000000000000000000000000000000
χ594-4-444-44-4400004-444-4-4-400-4400000000000000000000000000000000000000000
χ604-4-444-44-4-40000-44-4-444400-4400000000000000000000000000000000000000000
χ614-4-4-444-440000044-4000-4000000000000000002i2−2i2−2i22i2000000000000000000000000
χ624-4-4-444-440000044-4000-400000000000000000−2i22i22i2−2i2000000000000000000000000
χ634-4-4-444-4400000-4-440004000000000000022−22−22220000000000000000000000000000
χ644-4-4-444-4400000-4-4400040000000000000−222222−220000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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