Finite Group Databasebeta

← Group #297513

Character table — Group #297513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442222444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1111-1-11111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-11-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-111111111
χ9111111111111-1-1-1-1-1-111111111-111-1-11111-1-1-1-11-1-11-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111-1-11-1-11-1-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1111111-1-1-111111111-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-111
χ12111111111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-11111-1-1
χ13111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-11111-1-11-1-111-1-11111-1-1
χ14111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11111-11111-1-1111-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-111-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-20022200-2-200000000000-20200000000000000
χ1822222222222222-2-2-2-2-2-2-2-200-2-2200220000000000020-200000000000000
χ19222222222222-2-22222-2-2-2-20022-2002200000000000-20-200000000000000
χ20222222222222-2-22222-2-2-2-200-2-2-200-2-20000000000020200000000000000
χ2122222222-2-2-2-22222-2-22-2-222200-2-2-200000000000-2200000000000000000
χ2222222222-2-2-2-22222-2-22-2-22-2-200-222000000000002-200000000000000000
χ2322222222-2-2-2-222-2-222-222-20000-2000000000000200020-2-2000000000000
χ2422222222-2-2-2-222-2-222-222-20000-2000000000000-2000-2022000000000000
χ2522222222-2-2-2-2-2-222-2-2-222-2000020000000000002000-20-22000000000000
χ2622222222-2-2-2-2-2-222-2-2-222-200002000000000000-2000202-2000000000000
χ2722222222-2-2-2-2-2-2-2-2222-2-2222002-2-2000000000002-200000000000000000
χ2822222222-2-2-2-2-2-2-2-2222-2-22-2-20022200000000000-2200000000000000000
χ29222-2-2-22-22-22-2002i−2i2i−2i0000002-20002i−2ii2i2−i2−i222−2−20000000000000000i2−i22−2
χ30222-2-2-22-22-22-2002i−2i2i−2i0000002-20002i−2i−i2−i2i2i2−2−2220000000000000000−i2i2−22
χ31222-2-2-22-22-22-2002i−2i2i−2i000000-22000−2i2ii2i2−i2−i222−2−20000000000000000−i2i2−22
χ32222-2-2-22-22-22-2002i−2i2i−2i000000-22000−2i2i−i2−i2i2i2−2−2220000000000000000i2−i22−2
χ33222-2-2-22-22-22-200−2i2i−2i2i0000002-2000−2i2ii2i2−i2−i2−2−2220000000000000000i2−i2−22
χ34222-2-2-22-22-22-200−2i2i−2i2i0000002-2000−2i2i−i2−i2i2i222−2−20000000000000000−i2i22−2
χ35222-2-2-22-22-22-200−2i2i−2i2i000000-220002i−2ii2i2−i2−i2−2−2220000000000000000−i2i22−2
χ36222-2-2-22-22-22-200−2i2i−2i2i000000-220002i−2i−i2−i2i2i222−2−20000000000000000i2−i2−22
χ372-2-2-22-2222-2-22000000-22-222-20002-2002-22-200000000000000002-2000000
χ382-2-2-22-2222-2-22000000-22-222-20002-200-22-220000000000000000-22000000
χ392-2-2-22-2222-2-22000000-22-22-22000-22002-22-20000000000000000-22000000
χ402-2-2-22-2222-2-22000000-22-22-22000-2200-22-2200000000000000002-2000000
χ412-2-2-22-222-222-2000000-2-2222-2000-220000002-22-2000000000000002-20000
χ422-2-2-22-222-222-2000000-2-2222-2000-22000000-22-2200000000000000-220000
χ432-2-2-22-222-222-2000000-2-222-220002-20000002-22-200000000000000-220000
χ442-2-2-22-222-222-2000000-2-222-220002-2000000-22-22000000000000002-20000
χ45444-4-4-44-4-44-44004i−4i−4i4i00000000000000000000000000000000000000000
χ46444-4-4-44-4-44-4400−4i4i4i−4i00000000000000000000000000000000000000000
χ4744-44-4-4-4400004i−4i0000000000000000000000000000000002-22i−2i00000000
χ4844-44-4-4-4400004i−4i000000000000000000000000000000000-22−2i2i00000000
χ4944-44-4-4-440000−4i4i0000000000000000000000000000000002-2−2i2i00000000
χ5044-44-4-4-440000−4i4i000000000000000000000000000000000-222i−2i00000000
χ514-4-44-444-444-4-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-44-444-444-4-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-44-444-4-4-4440000000000000000000000022−22−222200000000000000000000
χ544-4-44-444-4-4-44400000000000000000000000−222222−2200000000000000000000
χ554-4-4-44-4444-4-440000004-44-40000000000000000000000000000000000000
χ564-4-4-44-444-444-400000044-4-40000000000000000000000000000000000000
χ5788-8-888-8-8000000000000000000000000000000000000000000000000000
χ588-8888-8-8-8000000000000000000000000000000000000000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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