Finite Group Databasebeta

← Group #102749

Character table — Group #102749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444444488888888881616161616161616161616161616161632323232
order12222222444444444444448888888822448888888888882244
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ922222222222222-2-222-2-2-2-200000000000022-2-2000000000000
χ1022222222222222-2-222-2-2-2-2000000000000-2-222000000000000
χ11222222222222-2-22-2-2-22-22-2000000000000000000000000020-2
χ12222222222222-2-22-2-2-22-22-20000000000000000000000000-202
χ13222222222222-2-2-22-2-2-22-2200000000000000000000000020-20
χ14222222222222-2-2-22-2-2-22-22000000000000000000000000-2020
χ1522222222-2-2-2-22222-2-222-2-20000000022-2-20000000000000000
χ1622222222-2-2-2-22222-2-222-2-200000000-2-2220000000000000000
χ1722222222-2-2-2-222-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ1922222222-2-2-2-2-2-22-2222-2-22000000000000000022-2-200000000
χ2022222222-2-2-2-2-2-22-2222-2-220000000000000000-2-22200000000
χ2122222222-2-2-2-2-2-2-2222-222-20000000000000000000022-2-20000
χ2222222222-2-2-2-2-2-2-2222-222-200000000000000000000-2-2220000
χ234444-4-4-4-4000000004i−4i0000000000002-22i−2i0000000000000000
χ244444-4-4-4-4000000004i−4i000000000000-22−2i2i0000000000000000
χ254444-4-4-4-400000000−4i4i0000000000002-2−2i2i0000000000000000
χ264444-4-4-4-400000000−4i4i000000000000-222i−2i0000000000000000
χ2744-4-444-4-400000004000-4002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ2844-4-444-4-400000004000-400−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ2944-4-444-4-40000000-400040022-2-2-2-22200000000000000000000
χ3044-4-444-4-40000000-4000400-2-22222-2-200000000000000000000
χ3144-4-4-4-4444-44-40000000000000000000000000000002-22-20000
χ3244-4-4-4-4444-44-4000000000000000000000000000000-22-220000
χ3344-4-4-4-444-44-440000000000000000000000000000002-2-220000
χ3444-4-4-4-444-44-44000000000000000000000000000000-222-20000
χ354-44-44-44-40000004000-40002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ364-44-44-44-40000004000-4000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ374-44-44-44-4000000-400040002-22-2-22-2200000000000000000000
χ384-44-44-44-4000000-40004000-22-222-22-200000000000000000000
χ394-44-4-44-444-4-44000000000000000000000000002-22-200000000
χ404-44-4-44-444-4-4400000000000000000000000000-22-2200000000
χ414-44-4-44-44-444-4000000000000000000000000002-2-2200000000
χ424-44-4-44-44-444-400000000000000000000000000-222-200000000
χ434-4-444-4-4444-4-400000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ444-4-444-4-4444-4-40000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ454-4-444-4-44-4-44400000000002-2-222-2-2200000000000000000000
χ464-4-444-4-44-4-4440000000000-222-2-222-200000000000000000000
χ474-4-44-444-400004-4000000000000000000000022−22000000000000
χ484-4-44-444-400004-40000000000000000000000−2222000000000000
χ494-4-44-444-40000-440000000000000000000022−2200000000000000
χ504-4-44-444-40000-4400000000000000000000−222200000000000000

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