Finite Group Databasebeta

← Group #72318117

Character table — Group #72318117

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222444422222224444444444444444888888444488
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1
χ3111111111111111111111-1-1111111-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ71111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111-1-11-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-11111-1-1
χ92222222222222-2-2200-20000-22222-2000000000-2-2000000
χ102222222222222-2-2200-20000-2-2-2-2-2-200000000022000000
χ1122222222222-2-222-22222200-20000-20000000-2-200000000
χ1222222222222-2-222-2-2-22-2-200-20000-200000002200000000
χ1322222222222-2-2-2-2-200-2000020000200022-2-20000000000
χ1422222222222-2-2-2-2-200-20000200002000-2-2220000000000
χ1522222-2-22-2-222222-200-2002220000-2-22-200000000000000
χ1622222-2-22-2-222222-200-200-2-220000-22-2200000000000000
χ1722222-2-22-2-2222-2-2-20020000-20000200000000000002-200
χ1822222-2-22-2-2222-2-2-20020000-2000020000000000000-2200
χ1922222-2-22-2-22-2-222200-20000-200002000000000002-20000
χ2022222-2-22-2-22-2-222200-20000-20000200000000000-220000
χ2122222-2-22-2-22-2-2-2-22002000020000-20000000000000002i−2i
χ2222222-2-22-2-22-2-2-2-22002000020000-2000000000000000−2i2i
χ234444444-4-4-4-4000000000022000000-2-2200000000000000
χ244444444-4-4-4-40000000000-2-200000022-200000000000000
χ2544444-4-4-444-40000000000220000002-2-200000000000000
χ2644444-4-4-444-40000000000-2-2000000-22200000000000000
χ27444-4-40004-4000000220-2-20002i2i−2i−2i00002i−2i000000000000
χ28444-4-40004-4000000220-2-2000−2i−2i2i2i0000−2i2i000000000000
χ29444-4-40004-4000000-2-20220002i2i−2i−2i0000−2i2i000000000000
χ30444-4-40004-4000000-2-2022000−2i−2i2i2i00002i−2i000000000000
χ3144-44-400400-4004-40000000002i−2i2i−2i00000000002i−2i000000
χ3244-44-400400-4004-4000000000−2i2i−2i2i0000000000−2i2i000000
χ3344-44-400400-400-440000000002i−2i2i−2i0000000000−2i2i000000
χ3444-44-400400-400-44000000000−2i2i−2i2i00000000002i−2i000000
χ3544-44-400-40044-40002-202-20000000000000002-200000000
χ3644-44-400-40044-4000-220-22000000000000000-2200000000
χ3744-44-400-4004-440002-202-2000000000000000-2200000000
χ3844-44-400-4004-44000-220-220000000000000002-200000000
χ3944-4-44-440000000002-20-220002-2-220000002-20000000000
χ4044-4-44-440000000002-20-22000-222-2000000-220000000000
χ4144-4-44-44000000000-2202-20002-2-22000000-220000000000
χ4244-4-44-44000000000-2202-2000-222-20000002-20000000000
χ43888-8-8000-88000000000000000000000000000000000000
χ4488-8-888-8000000000000000000000000000000000000000
χ4516-1600000000000000000004i−4i00000000000000000000000
χ4616-160000000000000000000−4i4i00000000000000000000000

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