Finite Group Databasebeta

← Group #23413

Character table — Group #23413

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222222444488888888888811112222224444888888888888
order1244222444224422444444888822442224442244224444448888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111-11-111-1-1-1-1-1-1111111111111111-11-111-1-1-1-1-1-1
χ311111111111111-11-11-1-111-1-1-1-111111111111111-11-11-1-111-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ61111111111-1-1-1-11-11-1-1-11111-1-11111111111-1-1-1-11-11-1-1-11111-1-1
χ71111111111-1-1-1-1-11-1111-1-111-1-11111111111-1-1-1-1-11-1111-1-111-1-1
χ81111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111
χ922222-2-2-2-22000000000000002-222222-2-2-2-22000000000000002-2
χ1022222-2-2-2-2200000000000000-2222222-2-2-2-2200000000000000-22
χ112222-22-22-2-200000000002-200002222-22-22-2-200000000002-20000
χ122222-22-22-2-20000000000-2200002222-22-22-2-20000000000-220000
χ132222-2-22-22-2000000002-20000002222-2-22-22-2000000002-2000000
χ142222-2-22-22-200000000-220000002222-2-22-22-200000000-22000000
χ1522-2-2222-2-2-222-2-200000000000022-2-2222-2-2-222-2-2000000000000
χ1622-2-2222-2-2-2-2-22200000000000022-2-2222-2-2-2-2-222000000000000
χ1722-2-22-2-222-20000000000002i−2i0022-2-22-2-222-20000000000002i−2i00
χ1822-2-22-2-222-2000000000000−2i2i0022-2-22-2-222-2000000000000−2i2i00
χ1922-2-2-22-2-2220000020-20000000022-2-2-22-2-2220000020-200000000
χ2022-2-2-22-2-22200000-2020000000022-2-2-22-2-22200000-20200000000
χ2122-2-2-2-222-22000020-200000000022-2-2-2-222-22000020-2000000000
χ2222-2-2-2-222-220000-20200000000022-2-2-2-222-220000-202000000000
χ234-44i−4i0000002-22i−2i0000000000004-44i−4i0000002-22i−2i000000000000
χ244-44i−4i000000-22−2i2i0000000000004-44i−4i000000-22−2i2i000000000000
χ254-4−4i4i0000002-2−2i2i0000000000004-4−4i4i0000002-2−2i2i000000000000
χ264-4−4i4i000000-222i−2i0000000000004-4−4i4i000000-222i−2i000000000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ2911111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111
χ3011111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ321111111111-1-1-1-11-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111
χ331111111111-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-111
χ341111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ3522222-2-2-2-22000000000000002-2-2-2-2-2-22222-200000000000000-22
χ3622222-2-2-2-2200000000000000-22-2-2-2-2-22222-2000000000000002-2
χ372222-22-22-2-200000000002-20000-2-2-2-22-22-2220000000000-220000
χ382222-22-22-2-20000000000-220000-2-2-2-22-22-22200000000002-20000
χ392222-2-22-22-2000000002-2000000-2-2-2-222-22-2200000000-22000000
χ402222-2-22-22-200000000-22000000-2-2-2-222-22-22000000002-2000000
χ4122-2-2222-2-2-222-2-2000000000000-2-222-2-2-2222-2-222000000000000
χ4222-2-2222-2-2-2-2-222000000000000-2-222-2-2-222222-2-2000000000000
χ4322-2-22-2-222-20000000000002i−2i00-2-222-222-2-22000000000000−2i2i00
χ4422-2-22-2-222-2000000000000−2i2i00-2-222-222-2-220000000000002i−2i00
χ4522-2-2-22-2-2220000020-200000000-2-2222-222-2-200000-20200000000
χ4622-2-2-22-2-22200000-20200000000-2-2222-222-2-20000020-200000000
χ4722-2-2-2-222-22000020-2000000000-2-22222-2-22-20000-202000000000
χ4822-2-2-2-222-220000-202000000000-2-22222-2-22-2000020-2000000000
χ494-44i−4i0000002-22i−2i000000000000-44−4i4i000000-22−2i2i000000000000
χ504-44i−4i000000-22−2i2i000000000000-44−4i4i0000002-22i−2i000000000000
χ514-4−4i4i0000002-2−2i2i000000000000-444i−4i000000-222i−2i000000000000
χ524-4−4i4i000000-222i−2i000000000000-444i−4i0000002-2−2i2i000000000000

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