Finite Group Databasebeta

← Group #72283666

Character table — Group #72283666

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222244444444448888888888888888888881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232646464646464128128128128
order122222222244444444444444444448888888888882244444444444444888888888888882222224444888888161616164488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11111-1-11111-1-111
χ5111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1
χ911111-1-1-1-1111-1-1-1-11111-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-111-1-11-1-1-1111-1-1-1111-1-11-11-1
χ1011111-1-1-1-1111-1-1-1-11111-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-111-1-1-111-1-111-1-11-1-1-111-11-11
χ1111111-1-1-1-1111-1-1-1-11111-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1111-1-1-1111-1-1-11-1-1111-1-11
χ1211111-1-1-1-1111-1-1-1-11111-11111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-111-1-11-111-1-1-111-1
χ1311111-1-1-1-1111-1-1-1-11111-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-111-1-11-1-1-11-1-111-1111-1-1-11-11
χ1411111-1-1-1-1111-1-1-1-11111-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-111-1-1-111-1-1-1-1111-1-1-1111-11-1
χ1511111-1-1-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-11-1-111-11-1-111-111-1
χ1611111-1-1-1-1111-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-111-1-1-1-1111-111-1-11-1-11
χ1722222222222222222222200000000222222222222-2-2000000000000-2-222222200000000-2-2-2-2-2000-2000000000000000
χ182222222222222222222220000000022-2-2-2-2-2-2-2-222-2-2000000000000-2-222-2-2-2-200000000-22222000-2000000000000000
χ1922222222222222222222200000000-2-200000000-2-2-2-222220000222222-2-20000-2-2-2-2-2-2-2-2-200000002000000000000000
χ2022222222222222222222200000000-2-200000000-2-2-2-2-2-2-2-20000-2-2-2-222-2-2000022222222-200000002000000000000000
χ2122222222222222222222222222222-2-200000000-2-222000022220000-2-2-2-200000000000020000000-20-2-2-2-20000000000
χ22222222222222222222222-2-2-2-2-2-2-2-2-2-200000000-2-2220000-2-2-2-20000-2-2-2-200000000000020000000-2022220000000000
χ2322222-2-2-2-2222-2-2-2-22222-200000000222222-2-2-2-222-2-2000000000000-2-2-2-222-2-2000000002-2-2220002000000000000000
χ2422222-2-2-2-2222-2-2-2-22222-20000000022-2-2-2-2222222-2-2000000000000-2-2-2-2-2-22200000000222-2-20002000000000000000
χ2522222-2-2-2-2222-2-2-2-22222-200000000-2-200000000-2-2-2-222-2-2000022-2-222220000-2-2-2-2222220000000-2000000000000000
χ2622222-2-2-2-2222-2-2-2-22222-200000000-2-200000000-2-2-2-2-2-2220000-2-222222200002222-2-2-2-220000000-2000000000000000
χ2722222-2-2-2-2222-2-2-2-22222-22222-2-2-2-2-2-200000000-2-222000022-2-20000-2-222000000000000-2000000020-2-2220000000000
χ2822222-2-2-2-2222-2-2-2-22222-2-2-2-2-22222-2-200000000-2-2220000-2-2220000-2-222000000000000-200000002022-2-20000000000
χ292-2-22-200002-2-20000-22220000022-2-22-2000022-2-22-22-22-200002-22-2002-200002-222-2-200000002-200000002-20000000000
χ302-2-22-200002-2-20000-22220000022-2-22-20000-2-2222-22-2-2200002-2-22002-20000-22-2-2220000000-2200000002-20000000000
χ312-2-22-200002-2-20000-22220000022-2-2-2222-2-20000-222-2002-2002-2002-2-22002-200000022-2-202-2000000000-220000000000
χ322-2-22-200002-2-20000-22220000022-2-2-22-2-2220000-222-200-22002-200-22-2200-22000000-2-2220-22000000000-220000000000
χ332-2-22-200002-2-20000-222200000-2-2222-2000022-2-22-22-2-220000-22-22002-200002-2-2-22200000002-20000000-220000000000
χ342-2-22-200002-2-20000-222200000-2-2222-20000-2-2222-22-22-20000-222-2002-20000-2222-2-20000000-220000000-220000000000
χ352-2-22-200002-2-20000-222200000-2-222-2222-2-20000-222-200-2200-2200-22-22002-2000000-2-22202-20000000002-20000000000
χ362-2-22-200002-2-20000-222200000-2-222-22-2-2220000-222-2002-200-22002-2-2200-2200000022-2-20-220000000002-20000000000
χ372-2-22-200002-2-20000-2222022-2-200002-2000022-2-22-2-22002-22-200002-2-2200002-20000-2-222000-22000002-2000000000000
χ382-2-22-200002-2-20000-2222022-2-200002-20000-2-2222-2-2200-222-20000-22-220000-22000022-2-20002-2000002-2000000000000
χ392-2-22-200002-2-20000-2222022-2-20000-2222-2-20000-22-222-2002-2002-2002-2002-200-2-22200000-220000000-22000000000000
χ402-2-22-200002-2-20000-2222022-2-20000-22-2-2220000-22-22-22002-200-22002-200-220022-2-2000002-20000000-22000000000000
χ412-2-22-200002-2-20000-22220-2-22200002-2000022-2-22-2-2200-22-220000-22-2200002-2000022-2-2000-2200000-22000000000000
χ422-2-22-200002-2-20000-22220-2-22200002-20000-2-2222-2-22002-2-2200002-2-220000-220000-2-2220002-200000-22000000000000
χ432-2-22-200002-2-20000-22220-2-2220000-2222-2-20000-22-22-2200-2200-22002-2002-20022-2-200000-2200000002-2000000000000
χ442-2-22-200002-2-20000-22220-2-2220000-22-2-2220000-22-222-200-22002-2002-200-2200-2-222000002-200000002-2000000000000
χ454444444444000000-4-400-422222222002222222200002222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000
χ464444444444000000-4-400-42222222200-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-222220000222200000000000000000000000000000000
χ474444444444000000-4-400-4-2-2-2-2-2-2-2-200222222220000-2-2-2-2222222220000-2-2-2-200000000000000000000000000000000
χ484444444444000000-4-400-4-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-2000022222222-2-2-2-20000222200000000000000000000000000000000
χ494444444444-4-4-4-4-4-444-4-440000000000000000000000000000000000000000000000000000000222020000-2-200000000
χ504444444444-4-4-4-4-4-444-4-440000000000000000000000000000000000000000000000000000000-2-2-20-200002200000000
χ5144444-4-4-4-44000000-4-40042222-2-2-2-2002222-2-2-2-2000022-2-2-2-222-2-2220000-2-22200000000000000000000000000000000
χ5244444-4-4-4-44000000-4-40042222-2-2-2-200-2-2-2-222220000-2-222-2-22222-2-2000022-2-200000000000000000000000000000000
χ5344444-4-4-4-44000000-4-4004-2-2-2-22222002222-2-2-2-20000-2-22222-2-222-2-20000-2-22200000000000000000000000000000000
χ5444444-4-4-4-44000000-4-4004-2-2-2-2222200-2-2-2-22222000022-2-222-2-2-2-222000022-2-200000000000000000000000000000000
χ5544444-4-4-4-44-4-4444444-4-4-400000000000000000000000000000000000000000000000000000002-2-20200002-200000000
χ5644444-4-4-4-44-4-4444444-4-4-40000000000000000000000000000000000000000000000000000000-2220-20000-2200000000
χ574444-444-4-4-40000000000000000000-2-222−2222−2222−2222−222200000000000000002-20000000000000000022-20-20000002−22−20000
χ584444-444-4-4-40000000000000000000-2-222−2222−2222−2222−222200000000000000002-200000000000000000-2-2202000000−22−220000
χ594444-444-4-4-40000000000000000000-2-2−2222−2222−2222−22222200000000000000002-20000000000000000022-20-2000000−22−220000
χ604444-444-4-4-40000000000000000000-2-2−2222−2222−2222−22222200000000000000002-200000000000000000-2-22020000002−22−20000
χ614444-4-4-444-40000000000000000000-2-222−2222−22−2222−2222220000000000000000-22000000000000000002-220-20000002−2−220000
χ624444-4-4-444-40000000000000000000-2-222−2222−22−2222−2222220000000000000000-2200000000000000000-22-202000000−222−20000
χ634444-4-4-444-40000000000000000000-2-2−2222−222222−2222−22220000000000000000-22000000000000000002-220-2000000−222−20000
χ644444-4-4-444-40000000000000000000-2-2−2222−222222−2222−22220000000000000000-2200000000000000000-22-2020000002−2−220000
χ654-4-44-4000040044-4-44-400022-2-222-2-20022-2-222-2-200002-22-2-22-22-22-220000-22-2200000000000000000000000000000000
χ664-4-44-4000040044-4-44-400022-2-222-2-200-2-222-2-2220000-22-22-22-222-22-200002-22-200000000000000000000000000000000
χ674-4-44-4000040044-4-44-4000-2-222-2-2220022-2-222-2-20000-22-222-22-22-22-20000-22-2200000000000000000000000000000000
χ684-4-44-4000040044-4-44-4000-2-222-2-22200-2-222-2-22200002-22-22-22-2-22-2200002-22-200000000000000000000000000000000
χ694-4-44-40000400-4-4444-400022-2-2-2-2220022-2-2-2-22200002-2-22-222-2-222-20000-222-200000000000000000000000000000000
χ704-4-44-40000400-4-4444-400022-2-2-2-22200-2-22222-2-20000-222-2-222-22-2-2200002-2-2200000000000000000000000000000000
χ714-4-44-40000400-4-4444-4000-2-22222-2-20022-2-2-2-2220000-222-22-2-222-2-220000-222-200000000000000000000000000000000
χ724-4-44-40000400-4-4444-4000-2-22222-2-200-2-22222-2-200002-2-222-2-22-222-200002-2-2200000000000000000000000000000000
χ738888-888-8-8-800000000000000000004400000000-4-40000000000000000-44000000000000000000000000000000000000
χ748888-8-8-888-800000000000000000004400000000-4-400000000000000004-4000000000000000000000000000000000000
χ7588-8-80008-804-44-44-4004-400000000000000000000000000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000
χ7688-8-80008-804-44-44-4004-40000000000000000000000000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000
χ7788-8-80008-80-44-44-4400-4404i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ7888-8-80008-80-44-44-4400-440−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8000-8804-4-44-44004-400000000000000000000000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000
χ8088-8-8000-8804-4-44-44004-40000000000000000000000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000
χ8188-8-8000-880-444-44-400-4404i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8000-880-444-44-400-440−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ838-88-808-80004-44-4-4400-4404i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ848-88-808-80004-44-4-4400-440−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ858-88-808-8000-44-444-4004-400000000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000
χ868-88-808-8000-44-444-4004-40000000000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000
χ878-88-80-880004-4-444-400-4404i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ888-88-80-880004-4-444-400-440−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ898-88-80-88000-444-4-44004-400000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000
χ908-88-80-88000-444-4-44004-40000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000
χ918-8-8880000-800000000000000000004-442−42−42420000-44000000000000000000000000000000000000000000000000000000
χ928-8-8880000-800000000000000000004-4−424242−420000-44000000000000000000000000000000000000000000000000000000
χ938-8-8880000-80000000000000000000-44000042−42−42424-4000000000000000000000000000000000000000000000000000000
χ948-8-8880000-80000000000000000000-440000−424242−424-4000000000000000000000000000000000000000000000000000000
χ958-8-88-800008880000-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000

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