Finite Group Databasebeta

← Group #99208

Character table — Group #99208

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444444444888888888888881616161616161616161616161616161616161616
order12222222222222224444444444442244444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-2222222-2-2-2-20000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222220000000000000000000000000000
χ2122222222-2-2-2-22-22-2000022-2-222-2-200000000002i2i−2i−2i002i−2i0000000000000000
χ2222222222-2-2-2-22-22-2000022-2-222-2-20000000000−2i−2i2i2i00−2i2i0000000000000000
χ2322222222-2-2-2-22-22-20000-2-222-2-2220000002i2i−2i−2i00002i−2i000000000000000000
χ2422222222-2-2-2-22-22-20000-2-222-2-222000000−2i−2i2i2i0000−2i2i000000000000000000
χ2522222222-2-2-2-2-22-22000022-2-2-2-22200000000002i2i−2i−2i00−2i2i0000000000000000
χ2622222222-2-2-2-2-22-22000022-2-2-2-2220000000000−2i−2i2i2i002i−2i0000000000000000
χ2722222222-2-2-2-2-22-220000-2-22222-2-20000002i2i−2i−2i0000−2i2i000000000000000000
χ2822222222-2-2-2-2-22-220000-2-22222-2-2000000−2i−2i2i2i00002i−2i000000000000000000
χ29222-2-22-2-222-2-200002i2i−2i−2i00002i−2i2i−2i2-200000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ30222-2-22-2-222-2-200002i2i−2i−2i00002i−2i2i−2i2-20000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ31222-2-22-2-222-2-200002i2i−2i−2i0000−2i2i−2i2i-2200000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ32222-2-22-2-222-2-200002i2i−2i−2i0000−2i2i−2i2i-220000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ33222-2-22-2-222-2-20000−2i−2i2i2i00002i−2i2i−2i-2200000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ34222-2-22-2-222-2-20000−2i−2i2i2i00002i−2i2i−2i-220000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ35222-2-22-2-222-2-20000−2i−2i2i2i0000−2i2i−2i2i2-200000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ36222-2-22-2-222-2-20000−2i−2i2i2i0000−2i2i−2i2i2-20000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ372-2-2222-2-22-22-22-2-222i−2i2i−2i0000000000002i−2i00000000000000000000i2−i2i2−i22−22−2
χ382-2-2222-2-22-22-22-2-222i−2i2i−2i0000000000002i−2i00000000000000000000−i2i2−i2i2−22−22
χ392-2-2222-2-22-22-22-2-22−2i2i−2i2i000000000000−2i2i00000000000000000000i2−i2i2−i2−22−22
χ402-2-2222-2-22-22-22-2-22−2i2i−2i2i000000000000−2i2i00000000000000000000−i2i2−i2i22−22−2
χ412-2-2222-2-22-22-2-222-22i−2i2i−2i000000000000−2i2i000000000000000000002−2−22−i2i2i2−i2
χ422-2-2222-2-22-22-2-222-22i−2i2i−2i000000000000−2i2i00000000000000000000−222−2i2−i2−i2i2
χ432-2-2222-2-22-22-2-222-2−2i2i−2i2i0000000000002i−2i000000000000000000002−2−22i2−i2−i2i2
χ442-2-2222-2-22-22-2-222-2−2i2i−2i2i0000000000002i−2i00000000000000000000−222−2−i2i2i2−i2
χ45444-4-44-4-4-4-4440000000000004i−4i−4i4i0000000000000000000000000000000000
χ46444-4-44-4-4-4-444000000000000−4i4i4i−4i0000000000000000000000000000000000
χ4744-44-4-44-4000000000000004i−4i000000000000002+2i−2−2i2−2i−2+2i00000000000000000000
χ4844-44-4-44-4000000000000004i−4i00000000000000−2−2i2+2i−2+2i2−2i00000000000000000000
χ4944-44-4-44-400000000000000−4i4i000000000000002−2i−2+2i2+2i−2−2i00000000000000000000
χ5044-44-4-44-400000000000000−4i4i00000000000000−2+2i2−2i−2−2i2+2i00000000000000000000
χ514-44-44-44-40000000000004i−4i0000000000002+2i−2−2i2−2i−2+2i000000000000000000000000
χ524-44-44-44-40000000000004i−4i000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000
χ534-44-44-44-4000000000000−4i4i0000000000002−2i−2+2i2+2i−2−2i000000000000000000000000
χ544-44-44-44-4000000000000−4i4i000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000
χ554-4-4444-4-4-44-4444-4-40000000000000000000000000000000000000000000000
χ564-4-4444-4-4-44-44-4-4440000000000000000000000000000000000000000000000
χ574-4-4-4-44444-4-4400004-4-44000000000000000000000000000000000000000000
χ584-4-4-4-44444-4-440000-444-4000000000000000000000000000000000000000000
χ594-4-4-4-4444-444-40000000000000000004-4000000000000000000000000000000
χ604-4-4-4-4444-444-4000000000000000000-44000000000000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-888-8-8-88000000000000000000000000000000000000000000000000000000

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