Finite Group Databasebeta

← Group #72251957

Character table — Group #72251957

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size1111222222222222224444444444448888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616323232323232
order1244222222244444442222224444442224448888888888888888222444444444888888888888888888888888444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ5111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ911111111111111111111-1-1-1-111-1-1-1-11-1-11-1-111111111111111111-1-11-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11-11-1
χ1011111111111111111111-1-1-1-111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-11-11
χ1111111111111111111111-1-1-1-111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1-1-11-1-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11
χ1211111111111111111111-1-1-1-111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-11111-11-1-11-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-111-1-111-111-1
χ1311111111111111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1111111111111-111-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-11-11
χ1411111111111111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111111111111-11-1
χ1511111111111111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1
χ1611111111111111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-111111-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-11-1-11
χ17111111111111111111-1-111-1-1-1-111-1-1-11-1-11-11111111111111111-11-1-11-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-1-1-1-11
χ18111111111111111111-1-111-1-1-1-111-1-1-11-1-11-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1111-1111-1
χ19111111111111111111-1-111-1-1-1-111-1-1-11-1-11-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-11-1-11-1
χ20111111111111111111-1-111-1-1-1-111-1-1-11-1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-1-1-1-1111-11
χ21111111111111111111-1-111-1-1-1-111-1-1-11-1-11-1-1-1-1-11111111111111-111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11111-1
χ22111111111111111111-1-111-1-1-1-111-1-1-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1111111-1-1111111-1-111-1-111-1-1-1-111-11-1-1-11
χ23111111111111111111-1-111-1-1-1-111-1-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-1111111111-111-11
χ24111111111111111111-1-111-1-1-1-111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-1111111-1-11111-1-11111-1-1-1-11-1-1-11-1
χ25111111111111111111-1-1-1-111-1-1-1-111-1-11-1-111111111111111111-1-11-1-11111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-11-11-1-1
χ26111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1111111111-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-111-111
χ27111111111111111111-1-1-1-111-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1111
χ28111111111111111111-1-1-1-111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1
χ29111111111111111111-1-1-1-111-1-1-1-111-1-11-1-11-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111-11-111
χ30111111111111111111-1-1-1-111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-111-11-1-11111-1-11111-1-111111111-1-1-1-111-1-11-1-11-1-1
χ31111111111111111111-1-1-1-111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-11111-1-1-1-11111111111-1-111-1-1-1-1-111-1-1-1
χ32111111111111111111-1-1-1-111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1111111-11-1111
χ33222222-2-22-2-222-2-22-2-200002200002200-200-200002i2i−2i−2i2i2i−2i−2i22-2-2000000000000002i−2i002i−2i000000000000002-2000000
χ34222222-2-22-2-222-2-22-2-200002200002200-200-200002i2i−2i−2i−2i−2i2i2i-2-222000000000000002i−2i00−2i2i00000000000000-22000000
χ35222222-2-22-2-222-2-22-2-200002200002200-200-20000−2i−2i2i2i2i2i−2i−2i-2-22200000000000000−2i2i002i−2i00000000000000-22000000
χ36222222-2-22-2-222-2-22-2-200002200002200-200-20000−2i−2i2i2i−2i−2i2i2i22-2-200000000000000−2i2i00−2i2i000000000000002-2000000
χ37222222-2-22-2-222-2-22-2-20000-2-20000-2-200200200002i2i−2i−2i2i2i−2i−2i22-2-200000000000000−2i2i00−2i2i00000000000000-22000000
χ38222222-2-22-2-222-2-22-2-20000-2-20000-2-200200200002i2i−2i−2i−2i−2i2i2i-2-22200000000000000−2i2i002i−2i000000000000002-2000000
χ39222222-2-22-2-222-2-22-2-20000-2-20000-2-20020020000−2i−2i2i2i2i2i−2i−2i-2-222000000000000002i−2i00−2i2i000000000000002-2000000
χ40222222-2-22-2-222-2-22-2-20000-2-20000-2-20020020000−2i−2i2i2i−2i−2i2i2i22-2-2000000000000002i−2i002i−2i00000000000000-22000000
χ4122222-22-2-22-22-22-2-22-20022000022000-200-2000002i−2i2i−2i2-22-22i−2i2i−2i0000000000002i−2i000000002i−2i000000002-200000000
χ4222222-22-2-22-22-22-2-22-20022000022000-200-2000002i−2i2i−2i-22-22−2i2i−2i2i0000000000002i−2i00000000−2i2i00000000-2200000000
χ4322222-22-2-22-22-22-2-22-20022000022000-200-200000−2i2i−2i2i2-22-2−2i2i−2i2i000000000000−2i2i00000000−2i2i000000002-200000000
χ4422222-22-2-22-22-22-2-22-20022000022000-200-200000−2i2i−2i2i-22-222i−2i2i−2i000000000000−2i2i000000002i−2i00000000-2200000000
χ4522222-22-2-22-22-22-2-22-200-2-20000-2-20002002000002i−2i2i−2i2-22-22i−2i2i−2i000000000000−2i2i00000000−2i2i00000000-2200000000
χ4622222-22-2-22-22-22-2-22-200-2-20000-2-20002002000002i−2i2i−2i-22-22−2i2i−2i2i000000000000−2i2i000000002i−2i000000002-200000000
χ4722222-22-2-22-22-22-2-22-200-2-20000-2-2000200200000−2i2i−2i2i2-22-2−2i2i−2i2i0000000000002i−2i000000002i−2i00000000-2200000000
χ4822222-22-2-22-22-22-2-22-200-2-20000-2-2000200200000−2i2i−2i2i-22-222i−2i2i−2i0000000000002i−2i00000000−2i2i000000002-200000000
χ4922222-2-22-2-222-2-22-2-22220000220000-200-20000002-2-222i−2i−2i2i−2i2i2i−2i00000000000000002i−2i002i−2i000000002-20000000000
χ5022222-2-22-2-222-2-22-2-22220000220000-200-20000002-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000−2i2i00−2i2i000000002-20000000000
χ5122222-2-22-2-222-2-22-2-22220000220000-200-2000000-222-22i−2i−2i2i2i−2i−2i2i00000000000000002i−2i00−2i2i00000000-220000000000
χ5222222-2-22-2-222-2-22-2-22220000220000-200-2000000-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i002i−2i00000000-220000000000
χ5322222-2-22-2-222-2-22-2-22-2-20000-2-2000020020000002-2-222i−2i−2i2i−2i2i2i−2i0000000000000000−2i2i00−2i2i00000000-220000000000
χ5422222-2-22-2-222-2-22-2-22-2-20000-2-2000020020000002-2-22−2i2i2i−2i2i−2i−2i2i00000000000000002i−2i002i−2i00000000-220000000000
χ5522222-2-22-2-222-2-22-2-22-2-20000-2-200002002000000-222-22i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i002i−2i000000002-20000000000
χ5622222-2-22-2-222-2-22-2-22-2-20000-2-200002002000000-222-2−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i00−2i2i000000002-20000000000
χ5722-2-22222222-2-2-2-2-2-2-2222222-2-2-2-2-2-2222-2-2-22i2i−2i−2i0000000000000000000000000000000000002i−2i2i−2i2i−2i000000000000
χ5822-2-22222222-2-2-2-2-2-2-2222222-2-2-2-2-2-2222-2-2-2−2i−2i2i2i000000000000000000000000000000000000−2i2i−2i2i−2i2i000000000000
χ5922-2-22222222-2-2-2-2-2-2-222-2-2-2-2-2-222222-2-2-2222i2i−2i−2i0000000000000000000000000000000000002i−2i−2i2i−2i2i000000000000
χ6022-2-22222222-2-2-2-2-2-2-222-2-2-2-2-2-222222-2-2-222−2i−2i2i2i000000000000000000000000000000000000−2i2i2i−2i2i−2i000000000000
χ6122-2-22222222-2-2-2-2-2-2-2-2-222-2-222-2-222-22-22-222i2i−2i−2i000000000000000000000000000000000000−2i2i2i−2i−2i2i000000000000
χ6222-2-22222222-2-2-2-2-2-2-2-2-222-2-222-2-222-22-22-22−2i−2i2i2i0000000000000000000000000000000000002i−2i−2i2i2i−2i000000000000
χ6322-2-22222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222-22i2i−2i−2i000000000000000000000000000000000000−2i2i−2i2i2i−2i000000000000
χ6422-2-22222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222-2−2i−2i2i2i0000000000000000000000000000000000002i−2i2i−2i−2i2i000000000000
χ654444-4444-4-4-4-4-4-4-44440000000000000000004-44-4000000000000000000000000000000000000000000000000000000
χ664444-4444-4-4-4-4-4-4-4444000000000000000000-44-44000000000000000000000000000000000000000000000000000000
χ674444-44-4-4-444-4-4444-4-4000000000000000000000000000000000000000000004-4000000000000000000000000000000
χ684444-44-4-4-444-4-4444-4-400000000000000000000000000000000000000000000-44000000000000000000000000000000
χ694444-4-44-44-44-44-44-44-40000000000000000000000000000000000000000004-400000000000000000000000000000000
χ704444-4-44-44-44-44-44-44-4000000000000000000000000000000000000000000-4400000000000000000000000000000000
χ714444-4-4-4444-4-444-4-4-4400000000000000000000000000000000000000004-40000000000000000000000000000000000
χ724444-4-4-4444-4-444-4-4-440000000000000000000000000000000000000000-440000000000000000000000000000000000
χ7344-4-444-4-44-4-4-4-444-4440000440000-4-400-40040000000000000000000000000000000000000000000000000000000000
χ7444-4-444-4-44-4-4-4-444-4440000-4-400004400400-40000000000000000000000000000000000000000000000000000000000
χ7544-4-44-44-4-44-4-44-444-4400440000-4-4000-400400000000000000000000000000000000000000000000000000000000000
χ7644-4-44-44-4-44-4-44-444-4400-4-4000044000400-400000000000000000000000000000000000000000000000000000000000
χ7744-4-44-4-44-4-44-444-444-4440000-4-40000-4004000000000000000000000000000000000000000000000000000000000000
χ7844-4-44-4-44-4-44-444-444-4-4-40000440000400-4000000000000000000000000000000000000000000000000000000000000
χ7944-4-4-4444-4-4-44444-4-4-40000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ8044-4-4-4444-4-4-44444-4-4-4000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ8144-4-4-44-4-4-44444-4-4-444000000000000000000000000000000000000400-4000000000000000000000000000000000000
χ8244-4-4-44-4-4-44444-4-4-444000000000000000000000000000000000000-4004000000000000000000000000000000000000
χ8344-4-4-4-44-44-444-44-44-4400000000000000000000000000000000000400-40000000000000000000000000000000000000
χ8444-4-4-4-44-44-444-44-44-4400000000000000000000000000000000000-40040000000000000000000000000000000000000
χ8544-4-4-4-4-4444-44-4-4444-40000000000000000000000000000000000400-400000000000000000000000000000000000000
χ8644-4-4-4-4-4444-44-4-4444-40000000000000000000000000000000000-400400000000000000000000000000000000000000
χ878-88i−8i000000000000004-44-44-44i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ888-88i−8i000000000000004-4-44-444i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ898-88i−8i00000000000000-444-4-44−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i00000000000000-44-444-4−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ918-8−8i8i000000000000004-44-44-4−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ928-8−8i8i000000000000004-4-44-44−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i00000000000000-444-4-444i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i00000000000000-44-444-44i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000

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