Finite Group Databasebeta

← Group #299686

Character table — Group #299686

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224444444888888888888881616161616161616161616161616161616163232
order12222244444444488884444888888888822244444444488888824
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ51111111111111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111-1-11111
χ81111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-111111111-1-111-1-1
χ9111111111111111-1-1-1-11111-11111-1-1-1-1-11-11-11-11-111-1-111-1-1-1-11-1
χ10111111111111111-1-1-1-11111-11111-1-1-1-1-1-11-11-11-11-1-11111-1-1-1-1-11
χ11111111111111111-1-1-1-11111-1-1-1-1-1-111111-11-11-11-1-1-111-1-1-1-111-11
χ12111111111111111-1-1-1-11111-1-1-1-1-1-11111-11-11-11-1111-1-1-1-1-1-1111-1
χ13111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1111-1-1-1-11111-11
χ14111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-111111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-1111111-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-111-1-11111-1-1-11
χ172222222-2-2-2-222-2-222-2-222-2-220000-20000000000000000002-20000
χ182222222-2-2-2-222-2-222-2-2-2-22220000-2000000000000000000-220000
χ192222222-2-2-2-222-2-2-2-22222-2-2-200002000000000000000000-220000
χ202222222-2-2-2-222-2-2-2-222-2-222-2000020000000000000000002-20000
χ21222222-22222-2-2-2-200002-22-2022-2-2000000000000000002-2000000
χ22222222-22222-2-2-2-200002-22-20-2-22200000000000000000-22000000
χ23222222-22222-2-2-2-20000-22-22022-2-200000000000000000-22000000
χ24222222-22222-2-2-2-20000-22-220-2-222000000000000000002-2000000
χ25222222-2-2-2-2-2-2-22200002-2-2200000022-2-200000000000000002-200
χ26222222-2-2-2-2-2-2-22200002-2-22000000-2-2220000000000000000-2200
χ27222222-2-2-2-2-2-2-2220000-222-200000022-2-20000000000000000-2200
χ28222222-2-2-2-2-2-2-2220000-222-2000000-2-22200000000000000002-200
χ292222-2-2222-2-22-22-222220000-20000-20000002-200-22000000000000
χ302222-2-2222-2-22-22-222220000-20000-2000000-22002-2000000000000
χ312222-2-2222-2-22-22-2-2-2-2-200002000020000002200-2-2000000000000
χ322222-2-2222-2-22-22-2-2-2-2-20000200002000000-2-20022000000000000
χ332222-2-22-2-2222-2-2222-2-20000-20000200002-200-2200000000000000
χ342222-2-22-2-2222-2-2222-2-20000-2000020000-22002-200000000000000
χ352222-2-22-2-2222-2-22-2-222000020000-200002200-2-200000000000000
χ362222-2-22-2-2222-2-22-2-222000020000-20000-2-2002200000000000000
χ374444-4-4-444-4-4-44-4400000000000000000000000000000000000000
χ384444-4-4-4-4-444-444-400000000000000000000000000000000000000
χ3944-4-400-4000040004i−4i0000000000000000000000002i−2i2-200000000
χ4044-4-400-4000040004i−4i000000000000000000000000−2i2i-2200000000
χ4144-4-400-400004000−4i4i0000000000000000000000002i−2i-2200000000
χ4244-4-400-400004000−4i4i000000000000000000000000−2i2i2-200000000
χ434-44-44-404-44-40000000000000000002i2−2i22i2−2i200000000000000000000
χ444-44-44-404-44-4000000000000000000−2i22i2−2i22i200000000000000000000
χ454-44-44-40-44-440000000000000000002i2−2i2−2i22i200000000000000000000
χ464-44-44-40-44-44000000000000000000−2i22i22i2−2i200000000000000000000
χ474-44-4-4404-4-4400000000000004-4000000000000000000000000000
χ484-44-4-4404-4-440000000000000-44000000000000000000000000000
χ494-44-4-440-444-40000000000000004-40000000000000000000000000
χ504-44-4-440-444-4000000000000000-440000000000000000000000000
χ5188-8-80080000-800000000000000000000000000000000000000000
χ528-8-88000000000000042−420000000000000000000000000000000000
χ538-8-880000000000000−42420000000000000000000000000000000000

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