Finite Group Databasebeta

← Group #72315242

Character table — Group #72315242

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222244444444888888888888888888888816161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323264646464646464646464
order12222222222222222222222222222222444444442222222244444444444444444444444444444444888888884444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111
χ711111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ811111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ101111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1
χ121111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111
χ131111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ161111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ172222222222222222222-2-2-222-2-200002-2-2-222-2-2-2-2000022220022-2-20000000000-2-20000000000000000000000002-2000000
χ182222222222222222222-2-2-222-2-200002-2-2-222-2-2-2-20000-2-2-2-20022-2-2000000000022000000000000000000000000-22000000
χ192222222222222222222-2-2-2-2-22200002-2-2-2-2-222-2-20000222200-2-2220000000000-2-2000000000000000000000000-22000000
χ202222222222222222222-2-2-2-2-22200002-2-2-2-2-222-2-20000-2-2-2-200-2-2220000000000220000000000000000000000002-2000000
χ212222222222222-2-22-2-2-222200002222-22-2-20000-2-222000000000000-2-2-2-20000000000000000002i2i−2i−2i00002i2i−2i−2i0000000000
χ222222222222222-2-22-2-2-222200002222-22-2-20000-2-222000000000000-2-2-2-2000000000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000
χ232222222222222-2-22-2-2-22220000-2-2-2-2-22-2-20000-2-2-2-200000000000022220000000000000000002i2i−2i−2i0000−2i−2i2i2i0000000000
χ242222222222222-2-22-2-2-22220000-2-2-2-2-22-2-20000-2-2-2-20000000000002222000000000000000000−2i−2i2i2i00002i2i−2i−2i0000000000
χ252222222222-2-2-222-222-222-222220000-2-22-22222-220000000000-2-2-2-200000000000000000022-2-22-22-2000000000000000000
χ262222222222-2-2-222-222-222-222220000-2-22-22222-220000000000-2-2-2-2000000000000000000-2-222-22-22000000000000000000
χ272222222222-2-2-222-222-222-2-2-2-2-20000-2-22-2-2-2-2-2-220000000000222200000000000000000022-2-2-22-22000000000000000000
χ282222222222-2-2-222-222-222-2-2-2-2-20000-2-22-2-2-2-2-2-2200000000002222000000000000000000-2-2222-22-2000000000000000000
χ292222222222-2-2-222-222-2-2-2222-2-20000-22-2222-2-22-20000000000-2-222000000002200-2-2000000000000000000002-200000000
χ302222222222-2-2-222-222-2-2-2222-2-20000-22-2222-2-22-20000000000-2-22200000000-2-2002200000000000000000000-2200000000
χ312222222222-2-2-222-222-2-2-22-2-2220000-22-22-2-2222-2000000000022-2-2000000002200-2-200000000000000000000-2200000000
χ322222222222-2-2-222-222-2-2-22-2-2220000-22-22-2-2222-2000000000022-2-200000000-2-20022000000000000000000002-200000000
χ332222222222-2-2-2-2-2-2-2-2222-2000000002-2-2200002-2002200002200000000-2-2-2-2000000000000002i−2i−2i2i2i2i−2i−2i00000000000000
χ342222222222-2-2-2-2-2-2-2-2222-2000000002-2-2200002-2002200002200000000-2-2-2-200000000000000−2i2i2i−2i−2i−2i2i2i00000000000000
χ352222222222-2-2-2-2-2-2-2-2222-2000000002-2-2200002-200-2-20000-2-2000000002222000000000000002i−2i−2i2i−2i−2i2i2i00000000000000
χ362222222222-2-2-2-2-2-2-2-2222-2000000002-2-2200002-200-2-20000-2-200000000222200000000000000−2i2i2i−2i2i2i−2i−2i00000000000000
χ372-2-222-2-22-2222-222-2-2-2-22-2-20000000022220000-2-2002-200002-20000000022-2-200000000002i−2i2i−2i000000002i−2i2i−2i0000000000
χ382-2-222-2-22-2222-222-2-2-2-22-2-20000000022220000-2-2002-200002-20000000022-2-20000000000−2i2i−2i2i00000000−2i2i−2i2i0000000000
χ392-2-222-2-22-2222-222-2-2-2-22-2-20000000022220000-2-200-220000-2200000000-2-22200000000002i−2i2i−2i00000000−2i2i−2i2i0000000000
χ402-2-222-2-22-2222-222-2-2-2-22-2-20000000022220000-2-200-220000-2200000000-2-2220000000000−2i2i−2i2i000000002i−2i2i−2i0000000000
χ412-2-222-2-22-2222-2-2-2-22222-2-22-22-20000-22-2-22-22-22200000000002-22-2000000000000000000000000002-22-22-2-220000000000
χ422-2-222-2-22-2222-2-2-2-22222-2-22-22-20000-22-2-22-22-22200000000002-22-200000000000000000000000000-22-22-222-20000000000
χ432-2-222-2-22-2222-2-2-2-22222-2-2-22-220000-22-2-2-22-22220000000000-22-22000000000000000000000000002-22-2-222-20000000000
χ442-2-222-2-22-2222-2-2-2-22222-2-2-22-220000-22-2-2-22-22220000000000-22-2200000000000000000000000000-22-222-2-220000000000
χ452-2-222-2-22-2222-2-2-2-2222-2222-2-220000-2-2222-2-22-2-200000000002-2-2200000000000000000000000000000000000000002i−2i2i−2i
χ462-2-222-2-22-2222-2-2-2-2222-2222-2-220000-2-2222-2-22-2-200000000002-2-220000000000000000000000000000000000000000−2i2i−2i2i
χ472-2-222-2-22-2222-2-2-2-2222-222-222-20000-2-222-222-2-2-20000000000-222-200000000000000000000000000000000000000002i−2i−2i2i
χ482-2-222-2-22-2222-2-2-2-2222-222-222-20000-2-222-222-2-2-20000000000-222-20000000000000000000000000000000000000000−2i2i2i−2i
χ492-2-222-2-22-22-2-22222-2-222-22000022-2-2-2-22-200002-22-200000000000022-2-2000000000000002i−2i−2i2i00002i−2i−2i2i00000000000000
χ502-2-222-2-22-22-2-22222-2-222-22000022-2-2-2-22-200002-22-200000000000022-2-200000000000000−2i2i2i−2i0000−2i2i2i−2i00000000000000
χ512-2-222-2-22-22-2-22222-2-222-220000-2-222-2-22-200002-2-22000000000000-2-222000000000000002i−2i−2i2i0000−2i2i2i−2i00000000000000
χ522-2-222-2-22-22-2-22222-2-222-220000-2-222-2-22-200002-2-22000000000000-2-22200000000000000−2i2i2i−2i00002i−2i−2i2i00000000000000
χ532-2-222-2-22-22-2-22-2-2222-22-222-22-222-2-22-2-222-22-2-222-22-200002-2-22-22-2-222-2-222000000000000000000000000000000000000
χ542-2-222-2-22-22-2-22-2-2222-22-222-22-2-2-2222-2-222-22-2-22-22-220000-22-22-2222-2-222-2-2000000000000000000000000000000000000
χ552-2-222-2-22-22-2-22-2-2222-22-22-22-2222-2-22-2-22-22-22-222-2-220000-222-22-2-2-22222-2-2000000000000000000000000000000000000
χ562-2-222-2-22-22-2-22-2-2222-22-22-22-22-2-2222-2-22-22-22-22-222-200002-22-22-222-2-2-2-222000000000000000000000000000000000000
χ572-2-222-2-22-22-2-22-2-2222-2-22-22-2-220000222-22-2-222-20000000000-222-20000000000000022-2-2000000000000000000002-20000
χ582-2-222-2-22-22-2-22-2-2222-2-22-22-2-220000222-22-2-222-20000000000-222-200000000000000-2-22200000000000000000000-220000
χ592-2-222-2-22-22-2-22-2-2222-2-22-2-222-20000222-2-222-22-200000000002-2-220000000000000022-2-200000000000000000000-220000
χ602-2-222-2-22-22-2-22-2-2222-2-22-2-222-20000222-2-222-22-200000000002-2-2200000000000000-2-222000000000000000000002-20000
χ614444444444444-4-44-4-4-4-4-4-400000000-4-4440000440000000000000000000000000000000000000000000000000000000000
χ624444444444-4-4-4-4-4-4-4-44-4-4400000000444-40000-440000000000000000000000000000000000000000000000000000000000
χ634444-44-4-4-440004-404-4000000442222000000-4-400-2-2220000-2-200002-22-22-22-2000000000000000000000000000000000000
χ644444-44-4-4-440004-404-400000044-2-2-2-2000000-4-40022-2-20000220000-22-22-22-22000000000000000000000000000000000000
χ654444-44-4-4-440004-404-4000000-4-422220000004400-2-2-2-200002200002-22-2-22-22000000000000000000000000000000000000
χ664444-44-4-4-440004-404-4000000-4-4-2-2-2-2000000440022220000-2-20000-22-222-22-2000000000000000000000000000000000000
χ674444-44-4-4-44000-440-440000440022220000-4-40000-2-2220000-2-20000-22-22-22-22000000000000000000000000000000000000
χ684444-44-4-4-44000-440-4400004400-2-2-2-20000-4-4000022-2-200002200002-22-22-22-2000000000000000000000000000000000000
χ694444-44-4-4-44000-440-440000-4-40022220000440000-2-2-2-20000220000-22-222-22-2000000000000000000000000000000000000
χ704444-44-4-4-44000-440-440000-4-400-2-2-2-2000044000022220000-2-200002-22-2-22-22000000000000000000000000000000000000
χ714-4-444-4-44-4444-444-4-4-4-4-444000000004-4-4-40000440000000000000000000000000000000000000000000000000000000000
χ724-4-444-4-44-44-4-44444-4-44-44-400000000-44-440000-440000000000000000000000000000000000000000000000000000000000
χ734-4-44-4-44-4440004-40-4400004-40022-2-20000-440000-222-20000-2200002-2-222-2-22000000000000000000000000000000000000
χ744-4-44-4-44-4440004-40-4400004-400-2-2220000-4400002-2-2200002-20000-222-2-222-2000000000000000000000000000000000000
χ754-4-44-4-44-4440004-40-440000-440022-2-200004-40000-22-2200002-200002-2-22-222-2000000000000000000000000000000000000
χ764-4-44-4-44-4440004-40-440000-4400-2-22200004-400002-22-20000-220000-222-22-2-22000000000000000000000000000000000000
χ774-4-44-4-44-444000-4404-40000004-422-2-2000000-4400-222-20000-220000-222-2-222-2000000000000000000000000000000000000
χ784-4-44-4-44-444000-4404-40000004-4-2-222000000-44002-2-2200002-200002-2-222-2-22000000000000000000000000000000000000
χ794-4-44-4-44-444000-4404-4000000-4422-2-20000004-400-22-2200002-20000-222-22-2-22000000000000000000000000000000000000
χ804-4-44-4-44-444000-4404-4000000-44-2-2220000004-4002-22-20000-2200002-2-22-222-2000000000000000000000000000000000000
χ8188888-8-8-88-800000000000000000000000000000000000000000000000000004-40000000000000000000000000000000000
χ8288888-8-8-88-80000000000000000000000000000000000000000000000000000-440000000000000000000000000000000000
χ838888-8-888-8-8000000000000000000000000000000000044-4-400000000000000000000000000000000000000000000000000
χ848888-8-888-8-80000000000000000000000000000000000-4-44400000000000000000000000000000000000000000000000000
χ8588-8-80000004-4-400400000000004-44-400000000000000004-4000000000000000000002-22-200000000000000000000000000
χ8688-8-80000004-4-400400000000004-44-40000000000000000-4400000000000000000000-22-2200000000000000000000000000
χ8788-8-80000004-4-40040000000000-44-4400000000000000004-400000000000000000000-22-2200000000000000000000000000
χ8888-8-80000004-4-40040000000000-44-440000000000000000-44000000000000000000002-22-200000000000000000000000000
χ898-88-8000000-44-400400000000004-4-44000000000000004-400000000000000000000002-2-2200000000000000000000000000
χ908-88-8000000-44-400400000000004-4-4400000000000000-440000000000000000000000-222-200000000000000000000000000
χ918-88-8000000-44-40040000000000-444-4000000000000004-40000000000000000000000-222-200000000000000000000000000
χ928-88-8000000-44-40040000000000-444-400000000000000-4400000000000000000000002-2-2200000000000000000000000000
χ938-8-88888-8-8-8000000000000000000000000000000000000000000000000000000004i−4i000000000000000000000000000000
χ948-8-88888-8-8-800000000000000000000000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ958-8-88-88-888-80000000000000000000000000000000000000000000000000000004-400000000000000000000000000000000
χ968-8-88-88-888-8000000000000000000000000000000000000000000000000000000-4400000000000000000000000000000000
χ971616-16-16000000-88800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-1616-160000008-8800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000

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