Finite Group Databasebeta

← Group #72342977

Character table — Group #72342977

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1122222224444444444444488888888888161616161616323232323232323232323232323232323232323232323232
order1224488882444444444888824888881616161616161616161622244444444488883232323232323232
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-11111-1-111111-1-11-1-1-1-11111-1-111-1-11-111-1111-1-1-1-111-1-11111-1-1-1-1
χ61111111111-1-11111-1-111111-1-11-1-1-1-11111-1-111-1-11-1-11-1-111-1-111-1-111-1-1-1-11111
χ71111111111-1-11111-1-111111-1-11-1-1-1-11111-1-111-1-1-111-111-1-111-1-111-1-1-1-1-1-11111
χ81111111111-1-11111-1-111111-1-11-1-1-1-11111-1-111-1-1-11-1-11-1-1-11111-1-1111111-1-1-1-1
χ911111-1-111111-1-1-1-1-1-11-1-1-111-1111-1-11111-1-1-1-1111-11-1111-11-111-1-1-1-111-1-111-1-1
χ1011111-1-111111-1-1-1-1-1-11-1-1-111-1111-1-11111-1-1-1-1111-1-1-11-11-11-1-1-11111-1-111-1-111
χ1111111-1-111111-1-1-1-1-1-11-1-1-111-1111-1-11111-1-1-1-111-1111-11-11-1111-1-1-1-1-1-111-1-111
χ1211111-1-111111-1-1-1-1-1-11-1-1-111-1111-1-11111-1-1-1-111-11-11-1-1-11-11-1-1111111-1-111-1-1
χ1311111-1-1111-1-1-1-1-1-1111-1-1-11-111-1-111111111-1-1-1-1111-1-111-1-11-1-1-1-11111-1-1-1-111
χ1411111-1-1111-1-1-1-1-1-1111-1-1-11-111-1-111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1
χ1511111-1-1111-1-1-1-1-1-1111-1-1-11-111-1-111111111-1-1-1-1-1-11111-111-1-1-1-1-111-1-11111-1-1
χ1611111-1-1111-1-1-1-1-1-1111-1-1-11-111-1-111111111-1-1-1-1-1-1-111-1-111-11111-1-111-1-1-1-111
χ17222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ182222222222-2-22222-2-222222-2-22-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222222-20022-2-200-22-2-2200-2000022-2-2002-20002002000-2-200000000000000
χ20222222222-20022-2-200-22-2-2200-2000022-2-2002-2000-200-20002200000000000000
χ21222222222-20022-2-200-22-2-2200-20000-2-22200-2200200200-2-20000000000000000
χ22222222222-20022-2-200-22-2-2200-20000-2-22200-2200-200-200220000000000000000
χ232222222-2-2222-2-2-2-2-2-22222-22-2-2-2-222000000000000000000000000002−22−22−22−2
χ242222222-2-2222-2-2-2-2-2-22222-22-2-2-2-22200000000000000000000000000−22−22−22−22
χ252222222-2-22-2-2-2-2-2-2222222-2-22-222-2-2000000000000000000000000002−22−2−22−22
χ262222222-2-22-2-2-2-2-2-2222222-2-22-222-2-200000000000000000000000000−22−222−22−2
χ2722222-2-222222-2-2-2-2-2-22-2-2-222-2222-2-2-2-2-2-22222-2-2000000000000000000000000
χ2822222-2-2222-2-2-2-2-2-2222-2-2-22-222-2-222-2-2-2-2-2-22222000000000000000000000000
χ2922222-2-222-200-2-22200-2-222200-2000022-2-200-22000200-20002-200000000000000
χ3022222-2-222-200-2-22200-2-222200-2000022-2-200-22000-2002000-2200000000000000
χ3122222-2-222-200-2-22200-2-222200-20000-2-222002-200200-200-220000000000000000
χ3222222-2-222-200-2-22200-2-222200-20000-2-222002-200-2002002-20000000000000000
χ3322222-2-2-2-22222222222-2-2-2-222-2-2-2-2-2000000000000000000000000002−2−222−2−22
χ3422222-2-2-2-22222222222-2-2-2-222-2-2-2-2-200000000000000000000000000−222−2−222−2
χ3522222-2-2-2-22-2-22222-2-22-2-2-2-2-2-2-22222000000000000000000000000002−2−22−222−2
χ3622222-2-2-2-22-2-22222-2-22-2-2-2-2-2-2-2222200000000000000000000000000−222−22−2−22
χ374444444-4-4-400-4-44400-44-4-4-400400000000000000000000000000000000000000
χ3844444-4-4-4-4-40044-4-400-4-444-400400000000000000000000000000000000000000
χ39444-4-40000444000000-40000-400000022−2222−22000022−22000000000000000000000000
χ40444-4-40000444000000-40000-4000000−2222−22220000−2222000000000000000000000000
χ41444-4-400004-4-4000000-40000400000022−2222−220000−2222000000000000000000000000
χ42444-4-400004-4-4000000-400004000000−2222−2222000022−22000000000000000000000000
χ43444-4-40000-400000044400000-40000022−22−222222−220000000000000000000000000000
χ44444-4-40000-400000044400000-400000−222222−22−22220000000000000000000000000000
χ45444-4-40000-4000000-4-440000040000022−22−2222−22220000000000000000000000000000
χ46444-4-40000-4000000-4-4400000400000−222222−2222−220000000000000000000000000000
χ4744-44-40044000004i−4i00004i−4i-40000000000000000000200-20000002i−2i0000000000
χ4844-44-40044000004i−4i00004i−4i-40000000000000000000-2002000000−2i2i0000000000
χ4944-44-4004400000−4i4i0000−4i4i-40000000000000000000200-2000000−2i2i0000000000
χ5044-44-4004400000−4i4i0000−4i4i-40000000000000000000-20020000002i−2i0000000000
χ5144-44-400-4-4000004i−4i0000−4i4i40000000000000000000000000002-2002i−2i00000000
χ5244-44-400-4-4000004i−4i0000−4i4i4000000000000000000000000000-2200−2i2i00000000
χ5344-44-400-4-400000−4i4i00004i−4i40000000000000000000000000002-200−2i2i00000000
χ5444-44-400-4-400000−4i4i00004i−4i4000000000000000000000000000-22002i−2i00000000
χ5588-8-8888000000000000-800000000000000000000000000000000000000000000
χ5688-8-88-8-8000000000000800000000000000000000000000000000000000000000
χ578-80004i2−4i242−4204i−4i4i−4i004-4000000002i2−2i222−220000000000000000000000000000000000
χ588-80004i2−4i242−420−4i4i4i−4i00-4400000000−2i22i2−22220000000000000000000000000000000000
χ598-80004i2−4i2−424204i−4i−4i4i00-4400000000−2i22i222−220000000000000000000000000000000000
χ608-80004i2−4i2−42420−4i4i−4i4i004-4000000002i2−2i2−22220000000000000000000000000000000000
χ618-8000−4i24i242−4204i−4i−4i4i00-44000000002i2−2i2−22220000000000000000000000000000000000
χ628-8000−4i24i242−420−4i4i−4i4i004-400000000−2i22i222−220000000000000000000000000000000000
χ638-8000−4i24i2−424204i−4i4i−4i004-400000000−2i22i2−22220000000000000000000000000000000000
χ648-8000−4i24i2−42420−4i4i4i−4i00-44000000002i2−2i222−220000000000000000000000000000000000

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