Finite Group Databasebeta

← Group #72337744

Character table — Group #72337744

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122224444444448888888888881616161616161616161616323232323232323232323232323264646464
order1222222222222222222222222224422244444444244444444444448888
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-11111111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1
χ9222222222222222222222222222-2-2-200-2000000-20000-2-2000000000000
χ102222222222222222222-2-2-2-2-2-2-2-2-2-2-200-2000000-2000022000000000000
χ112222222222-2-2222-2-2-2-20000000022222-2220000-200-2-200000000000000
χ122222222222-2-2222-2-2-2-200000000222-2-2-2-2-20000-2002200000000000000
χ132222222222-2-2222-2-2-2-200000000-2-2-2002000000200000022-2-200000000
χ142222222222-2-2222-2-2-2-200000000-2-2-20020000002000000-2-22200000000
χ1522222222-2-2222-2-222-2-20000000022-2002002222-2-2-20000000000000000
χ1622222222-2-2222-2-222-2-20000000022-200200-2-2-2-2-2220000000000000000
χ1722222222-2-2222-2-222-2-200000000-2-2200-20000002000000000022-2-20000
χ1822222222-2-2222-2-222-2-200000000-2-2200-200000020000000000-2-2220000
χ1922222222-2-2-2-22-2-2-2-2220000000022-200-20000002000000000000002-200
χ2022222222-2-2-2-22-2-2-2-2220000000022-200-2000000200000000000000-2200
χ2122222222-2-2-2-22-2-2-2-22200000000-2-22002000000-200000000000000002i−2i
χ2222222222-2-2-2-22-2-2-2-22200000000-2-22002000000-20000000000000000−2i2i
χ23444444-4-4004-4-4004-40000000000000220-2-200000002-200000000000000
χ24444444-4-4004-4-4004-40000000000000-2-20220000000-2200000000000000
χ25444444-4-400-44-400-440000000000000220-2-20000000-2200000000000000
χ26444444-4-400-44-400-440000000000000-2-202200000002-200000000000000
χ274444-4-4444-400-44-40000000000000000000022-2-202-20000000000000000
χ284444-4-4444-400-44-400000000000000000000-2-2220-220000000000000000
χ294444-4-444-4400-4-440000000000000000000022-2-20-220000000000000000
χ304444-4-444-4400-4-4400000000000000000000-2-22202-20000000000000000
χ314444-4-4-4-4000040000002222-2-2-2-24-40000000000000002-2000000000000
χ324444-4-4-4-4000040000002222-2-2-2-2-44000000000000000-22000000000000
χ334444-4-4-4-400004000000-2-2-2-222224-4000000000000000-22000000000000
χ344444-4-4-4-400004000000-2-2-2-22222-440000000000000002-2000000000000
χ354-44-4004-40-400004000022-2-222-2-20002-202-2000000000002-20000000000
χ364-44-4004-40-400004000022-2-222-2-2000-220-2200000000000-220000000000
χ374-44-4004-40-4000040000-2-222-2-2220002-202-200000000000-220000000000
χ384-44-4004-40-4000040000-2-222-2-222000-220-22000000000002-20000000000
χ394-44-400-44-4000040000022-2-2-2-2220002-20-2200000000000002-200000000
χ404-44-400-44-4000040000022-2-2-2-222000-2202-20000000000000-2200000000
χ414-44-400-44-40000400000-2-22222-2-20002-20-220000000000000-2200000000
χ424-44-400-44-40000400000-2-22222-2-2000-2202-200000000000002-200000000
χ434-4-444-400000-400004002-22-22-22-2000000002-22-200000000000002-20000
χ444-4-444-400000-400004002-22-22-22-200000000-22-220000000000000-220000
χ454-4-444-400000-40000400-22-22-22-22000000002-22-20000000000000-220000
χ464-4-444-400000-40000400-22-22-22-2200000000-22-2200000000000002-20000
χ474-4-44-440000-4000040002-22-2-22-22000000002-2-22000000000002-2000000
χ484-4-44-440000-4000040002-22-2-22-2200000000-222-200000000000-22000000
χ494-4-44-440000-400004000-22-222-22-2000000002-2-2200000000000-22000000
χ504-4-44-440000-400004000-22-222-22-200000000-222-2000000000002-2000000
χ5188-8-800000000000004-400004-4-440000000000000000000000000000000
χ5288-8-800000000000004-40000-444-40000000000000000000000000000000
χ5388-8-80000000000000-444-4-4400000000000000000000000000000000000
χ5488-8-80000000000000-44-444-400000000000000000000000000000000000
χ558-88-8008-8080000-80000000000000000000000000000000000000000000
χ568-88-800-8880000-800000000000000000000000000000000000000000000
χ578-8-888-80000080000-800000000000000000000000000000000000000000
χ588-8-88-88000080000-8000000000000000000000000000000000000000000

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