Finite Group Databasebeta

← Group #18608

Character table — Group #18608

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1222444444244444442244444444888888882488
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111-1-11-1-11-111-11-1-11-1-111111111-1-1-1-1
χ6111111111111-1-11-1-11-111-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-11-1-11-1-1-1-1-111-1111111-1-1-1-1-1-111
χ8111111111111-1-11-1-11-1-1-1-1-111-111-1-1-1-1111111-1-1
χ9111111-1-111-1-111-1-1-1111-1-1-1111-1-111-1-111-1-11-11-1
χ10111111-1-111-1-111-1-1-1111-1-1-1111-1-1-1-111-1-111-11-11
χ11111111-1-111-1-111-1-1-111-11-11-1-1-11111-1-1-1-1111-1-11
χ12111111-1-111-1-111-1-1-111-11-11-1-1-111-1-11111-1-1-111-1
χ13111111-1-111-1-1-1-1-1111-11-11-1-1-111111-1-111-1-1-11-11
χ14111111-1-111-1-1-1-1-1111-11-11-1-1-1111-1-111-1-1111-11-1
χ15111111-1-111-1-1-1-1-1111-1-111111-1-1-111-1-1-1-111-111-1
χ16111111-1-111-1-1-1-1-1111-1-111111-1-1-1-1-11111-1-11-1-11
χ1722222-2222-2-2-200200-20220-200-200000000000000
χ1822222-2222-2-2-200200-20-2-20200200000000000000
χ1922222-2-2-22-22200-200-202-20200-200000000000000
χ2022222-2-2-22-22200-200-20-220-200200000000000000
χ212222-2222-222-222-2-2-2-2-2002000000000000000000
χ222222-2222-222-2-2-2-222-2200-2000000000000000000
χ232222-22-2-2-22-2222222-2-200-2000000000000000000
χ242222-22-2-2-22-22-2-22-2-2-22002000000000000000000
χ252222-2-222-2-2-2200-2002000002-202-2000000000000
χ262222-2-222-2-2-2200-200200000-220-22000000000000
χ272222-2-2-2-2-2-22-2002002000002-20-22000000000000
χ282222-2-2-2-2-2-22-200200200000-2202-2000000000000
χ2944-4-44000-4000000000000000000022−220000000000
χ3044-4-44000-40000000000000000000−22220000000000
χ3144-4-4-400040000000000000000000002i2−2i200000000
χ3244-4-4-40004000000000000000000000−2i22i200000000
χ334-44-4004i−4i0000000000000000000000002-22i−2i0000
χ344-44-4004i−4i000000000000000000000000-22−2i2i0000
χ354-44-400−4i4i0000000000000000000000002-2−2i2i0000
χ364-44-400−4i4i000000000000000000000000-222i−2i0000
χ374-4-4404000-4004i−4i00000000000000000000000000
χ384-4-4404000-400−4i4i00000000000000000000000000
χ394-4-440-40004000004-400000000000000000000000
χ404-4-440-4000400000-4400000000000000000000000

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