Finite Group Databasebeta

← Group #72223145

Character table — Group #72223145

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size11222444444448888888888888881616161616161616161616161616161616161616202020202020202025252525252532323232323232323232404040405050505050505050508080808080808080100100100100100100100100100100100100100100100100100100100100160160160160200200200200200200200
order122444444551010455101010101010101020202020202020202020202020202020202020202020202022224444224444202020202020202020208888244444444101010102020202044444444444444444444404040404448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1-1-1ii−i−i111111111111-1-1-1i−iii−i−i-1-111-1-111-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11-1-1-1i−iii−i−i
χ411111111111111111111111111111111111111111111111111-1-111-1-1-1-1−i−iii111111111111-1-1-1−ii−i−iii-1-111-1-111-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11-1-1-1−ii−i−iii
χ5111111111111111111111111111111111111111111111111-1-111-1-111-1-1ii−i−i1111111111-1-111-1i−iii−i−i-1-1-1-111-1-111-1-1-1-1−i−iiiii−i−iii−i−iii−i−i-1-111-1i−i−i−iii
χ6111111111111111111111111111111111111111111111111-1-111-1-111-1-1−i−iii1111111111-1-111-1−ii−i−iii-1-1-1-111-1-111-1-1-1-1ii−i−i−i−iii−i−iii−i−iii-1-111-1−iiii−i−i
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111
χ91111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111
χ111111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1ii−i−i-1-11111-1-1-1-1-1-111-1i−iii−i−i-1-111-1-111-1-1-1-111ii−i−iiiii−i−i−i−i−i−iii-1-1111−ii−i−iii
χ121111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1−i−iii-1-11111-1-1-1-1-1-111-1−ii−i−iii-1-111-1-111-1-1-1-111−i−iii−i−i−i−iiiiiii−i−i-1-1111i−iii−i−i
χ131111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1ii−i−i-1-11111-1-1-1-111-1-1-1i−iii−i−i-1-1-1-111-1-111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-11−iiii−i−i
χ141111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1−i−iii-1-11111-1-1-1-111-1-1-1−ii−i−iii-1-1-1-111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-11i−i−i−iii
χ151111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-11111
χ161111111-1-11111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111111111-111-1-1-1-1
χ1711111-1-1111111-111111111111111-1-1-1-111111111111111111-11-11-11-1111111-1-1-1-1-1-1-1-1-1-11-11-11111111111-11-11-11-1-1-1111-11-1-1-11-11-1-1-111111-11-1-1-1-11-11-1
χ1811111-1-1111111-111111111111111-1-1-1-111111111111111111-11-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1111-11-11-11-1-1-111-11-1111-11-1111-1-1-1-11-11-1-111-11-11
χ1911111-1-1111111-111111111111111-1-1-1-111111111111111111-1-111-1-11-1-1ii−i−i-1-1-1-1-1-1-1-1-1-11-1-11-1i−iii−i−i-1-11-1-111-1-1111-1-1i−i−ii−i−ii−i−iiiiii−i−i1-1-111−iii−i−ii
χ2011111-1-1111111-111111111111111-1-1-1-111111111111111111-1-111-1-11-1-1−i−iii-1-1-1-1-1-1-1-1-1-11-1-11-1−ii−i−iii-1-11-1-111-1-1111-1-1−iii−iii−iii−i−i−i−i−iii1-1-111i−i−iii−i
χ2111111-1-1111111-111111111111111-1-1-1-11111111111111111-111-1-111-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1-1i−iii−i−i-1-1-111-1-111-111-1-1−iii−i−i−i−iii−iiiii−i−i-111-11−ii−iii−i
χ2211111-1-1111111-111111111111111-1-1-1-11111111111111111-111-1-111-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-111-1-1−ii−i−iii-1-1-111-1-111-111-1-1i−i−iiiii−i−ii−i−i−i−iii-111-11i−ii−i−ii
χ2311111-1-1111111-111111111111111-1-1-1-11111111111111111-11-11-11-11111111-1-1-1-1-1-1-1-1-1-1-11-11111111111-11-11-11-11-1-111-11-11-1-1-11-11-1-11111-11-11-1-1-1-11-11
χ2411111-1-1111111-111111111111111-1-1-1-11111111111111111-11-11-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-11-11-11-11-1-1111-11-1111-11-111-1-1-1-1-11-11-1111-11-1
χ2511111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-111111111-1-1-1-11111-11-111111111111-11-11-11-1-1-1-1-11-11-1-1-11-11-1-1-1-1-1-1-1-11-11111-11-11
χ2611111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-111-1-1-1-111-1-1-1-11111-11-111-1-1-1-1-1-1111-11-11-11-1-1-1-1-1-11-1111-11-11111111-11-111-1-11-11-1
χ2711111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-1ii−i−i11-1-1-1-11111-111-1-1i−iii−i−i-1-11-1-111-1-111111i−i−ii−i−ii−i−iiii−i−iii-111-1-1i−i−iii−i
χ2811111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-1−i−iii11-1-1-1-11111-111-1-1−ii−i−iii-1-11-1-111-1-111111−iii−iii−iii−i−i−iii−i−i-111-1-1−iii−i−ii
χ2911111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1ii−i−i11-1-1-1-111111-1-11-1i−iii−i−i-1-1-111-1-111-11111−iii−i−i−i−iii−iii−i−iii1-1-11-1i−ii−i−ii
χ3011111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1−i−iii11-1-1-1-111111-1-11-1−ii−i−iii-1-1-111-1-111-11111i−i−iiiii−i−ii−i−iii−i−i1-1-11-1−ii−iii−i
χ3111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111111111-1-1-1-111111-11-1111111111-11-11-11-11-1-1-1-1-11-11-1-1-11-11-1-1-1-1-1-11-11-11111-11-1
χ3211111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1-1-111-1-1-1-111111-11-11-1-1-1-1-1-111-11-11-11-11-1-1-1-11-11-1111-11-11111111-11-11-1-1-11-11
χ33222-2-22-200222202222222222-2-2-2-222-2-2000000000000-2-2-2-2000000002222220022-2-200000000222-2-2-2-2-2-2000000002-20000002-200002-2000000000000000
χ34222-2-22-200222202222222222-2-2-2-222-2-2000000000000-2-2-2-20000000022-2-2-2-20022-2-2000000002-2-22222-2-2000000002-2000000-220000-22000000000000000
χ35222-2-22-200222202222222222-2-2-2-222-2-2000000000000-2-2-2-200000000-2-22i2i−2i−2i0022-2-200000000-22i−2i−2i−2i2i2i2200000000-220000002i−2i0000−2i2i000000000000000
χ36222-2-22-200222202222222222-2-2-2-222-2-2000000000000-2-2-2-200000000-2-2−2i−2i2i2i0022-2-200000000-2−2i2i2i2i−2i−2i2200000000-22000000−2i2i00002i−2i000000000000000
χ37222-2-2-2200222202222222222-2-2-2-2-2-222000000000000-2-2-2-20000000022222200-2-22200000000222-2-2-2-2-2-200000000-22000000-220000-22000000000000000
χ38222-2-2-2200222202222222222-2-2-2-2-2-222000000000000-2-2-2-20000000022-2-2-2-200-2-222000000002-2-22222-2-200000000-220000002-200002-2000000000000000
χ39222-2-2-2200222202222222222-2-2-2-2-2-222000000000000-2-2-2-200000000-2-22i2i−2i−2i00-2-22200000000-22i−2i−2i−2i2i2i22000000002-2000000−2i2i00002i−2i000000000000000
χ40222-2-2-2200222202222222222-2-2-2-2-2-222000000000000-2-2-2-200000000-2-2−2i−2i2i2i00-2-22200000000-2−2i2i2i2i−2i−2i22000000002-20000002i−2i0000−2i2i000000000000000
χ4122-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-202020-20-222222200000000000000-2-2-22-22-22-202020-20-200000202000-20-200000000000000000
χ4222-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-202020-20-222-2-2-2-200000000000000-222-22-222-202020-20-200000-20-200020200000000000000000
χ4322-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-2020-20-202-2-22i2i−2i−2i000000000000002−2i2i2i−2i−2i2i-22020-20-202000002i0−2i000−2i02i00000000000000000
χ4422-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-2020-20-202-2-2−2i−2i2i2i0000000000000022i−2i−2i2i2i−2i-22020-20-20200000−2i02i0002i0−2i00000000000000000
χ4522-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-20-202020-2-2-22i2i−2i−2i000000000000002−2i2i2i−2i−2i2i-220-202020-200000−2i02i0002i0−2i00000000000000000
χ4622-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-20-202020-2-2-2−2i−2i2i2i0000000000000022i−2i−2i2i2i−2i-220-202020-2000002i0−2i000−2i02i00000000000000000
χ4722-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-20-20-2020222222200000000000000-2-2-22-22-22-20-20-2020200000-20-200020200000000000000000
χ4822-22-200002222022-2-2-2-2-2-22222-2-2000000000000000022-2-20-20-2020222-2-2-2-200000000000000-222-22-222-20-20-2020200000202000-20-200000000000000000
χ4922-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-2222020-20-2022222200000000000000-2-2-2-22-22-222020-20-200000202000-20-2000000000000000000
χ5022-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-2222020-20-2022-2-2-2-200000000000000-2222-22-2-222020-20-200000-20-2000202000000000000000000
χ5122-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-22220-20-2020-2-22i2i−2i−2i000000000000002−2i2i−2i2i2i−2i2-220-20-202000002i0−2i000−2i02i000000000000000000
χ5222-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-22220-20-2020-2-2−2i−2i2i2i0000000000000022i−2i2i−2i−2i2i2-220-20-20200000−2i02i0002i0−2i000000000000000000
χ5322-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-222-202020-20-2-22i2i−2i−2i000000000000002−2i2i−2i2i2i−2i2-2-202020-200000−2i02i0002i0−2i000000000000000000
χ5422-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-222-202020-20-2-2−2i−2i2i2i0000000000000022i−2i2i−2i−2i2i2-2-202020-2000002i0−2i000−2i02i000000000000000000
χ5522-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-222-20-20202022222200000000000000-2-2-2-22-22-22-20-2020200000-20-2000202000000000000000000
χ5622-2-2200002222022-2-2-2-2-2-222-2-2220000000000000000-2-222-20-20202022-2-2-2-200000000000000-2222-22-2-22-20-2020200000202000-20-2000000000000000000
χ574444444444-14-14-1-14-1-1-1-1-1-1-14-14-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1004400440000004-1-1-1-1-1-1-1-1-1004400000000000-1-100-1-10000000000000000000000-1-10000000
χ584444444444-14-14-1-14-1-1-1-1-1-1-14-14-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-100-4-400-4-40000004-1-1-1-1-1-1-1-1-100-4-4000000000001100110000000000000000000000110000000
χ59444444444-14-144-1-1-14-1-1-1-1-1-1-14-14-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-144004400000000-14-1-1-1-1-1-1-1-14400000000000-1-100-1-10000000000000000000000-1-1000000000
χ60444444444-14-144-1-1-14-1-1-1-1-1-1-14-14-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-4-400-4-400000000-14-1-1-1-1-1-1-1-1-4-400000000000110011000000000000000000000011000000000
χ614444444-4-44-14-1-4-1-14-1-1-1-1-1-1-14-14-14-14-1-4-41111111111-1-1-1-100440044000000-41-1-1-1-1111100-4-400000000000-1-100-1-10000000000000000000000110000000
χ624444444-4-44-14-1-4-1-14-1-1-1-1-1-1-14-14-14-14-1-4-41111111111-1-1-1-100-4-400-4-4000000-41-1-1-1-111110044000000000001100110000000000000000000000-1-10000000
χ634444444-4-4-14-14-4-1-1-14-1-1-1-1-1-1-14-14-14-1411-4-411111111-1-1-1-1440044000000001-4-1-1-1-11111-4-400000000000-1-100-1-1000000000000000000000011000000000
χ644444444-4-4-14-14-4-1-1-14-1-1-1-1-1-1-14-14-14-1411-4-411111111-1-1-1-1-4-400-4-4000000001-4-1-1-1-1111144000000000001100110000000000000000000000-1-1000000000
χ6544444-4-4444-14-1-4-1-14-1-1-1-1-1-1-14-14-1-41-4144-1-1-1-1-1-1-1-1-1-1-1-1-1-1004-4004-4000000-4111111111004-400000000000-1100-110000000000000000000000-110000000
χ6644444-4-4444-14-1-4-1-14-1-1-1-1-1-1-14-14-1-41-4144-1-1-1-1-1-1-1-1-1-1-1-1-1-100-4400-44000000-411111111100-44000000000001-1001-100000000000000000000001-10000000
χ6744444-4-444-14-14-4-1-1-14-1-1-1-1-1-1-14-141-41-4-1-144-1-1-1-1-1-1-1-1-1-1-1-14-4004-4000000001-4111111114-400000000000-1100-110000000000000000000000-11000000000
χ6844444-4-444-14-14-4-1-1-14-1-1-1-1-1-1-14-141-41-4-1-144-1-1-1-1-1-1-1-1-1-1-1-1-4400-44000000001-411111111-44000000000001-1001-100000000000000000000001-1000000000
χ6944444-4-4-4-44-14-14-1-14-1-1-1-1-1-1-14-14-1-41-41-4-41111111111-1-1-1-1004-4004-40000004-11111-1-1-1-100-4400000000000-1100-1100000000000000000000001-10000000
χ7044444-4-4-4-44-14-14-1-14-1-1-1-1-1-1-14-14-1-41-41-4-41111111111-1-1-1-100-4400-440000004-11111-1-1-1-1004-4000000000001-1001-10000000000000000000000-110000000
χ7144444-4-4-4-4-14-144-1-1-14-1-1-1-1-1-1-14-141-41-411-4-411111111-1-1-1-14-4004-400000000-141111-1-1-1-1-4400000000000-1100-1100000000000000000000001-1000000000
χ7244444-4-4-4-4-14-144-1-1-14-1-1-1-1-1-1-14-141-41-411-4-411111111-1-1-1-1-4400-4400000000-141111-1-1-1-14-4000000000001-1001-10000000000000000000000-11000000000
χ734-4000002-244-4-4044000000-4-4000000002-22-22222-2-2-2-20000000000004-44-44-40000000000000000000000000000000002-20000000000002-22-200000000000
χ744-4000002-244-4-4044000000-4-4000000002-22-22222-2-2-2-20000000000004-4-44-440000000000000000000000000000000002-2000000000000-22-2200000000000
χ754-4000002-244-4-4044000000-4-4000000002-22-22222-2-2-2-2000000000000-444i−4i−4i4i000000000000000000000000000000000-220000000000002i−2i−2i2i00000000000
χ764-4000002-244-4-4044000000-4-4000000002-22-22222-2-2-2-2000000000000-44−4i4i4i−4i000000000000000000000000000000000-22000000000000−2i2i2i−2i00000000000
χ774-400000-2244-4-4044000000-4-400000000-22-22-2-2-2-222220000000000004-44-44-4000000000000000000000000000000000-22000000000000-22-2200000000000
χ784-400000-2244-4-4044000000-4-400000000-22-22-2-2-2-222220000000000004-4-44-44000000000000000000000000000000000-220000000000002-22-200000000000
χ794-400000-2244-4-4044000000-4-400000000-22-22-2-2-2-22222000000000000-444i−4i−4i4i0000000000000000000000000000000002-2000000000000−2i2i2i−2i00000000000
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Here i is the imaginary unit (i² = −1).