Finite Group Databasebeta

← Group #12989888

Character table — Group #12989888

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size11112222222222224444444444444444488888888888888888888161616161616161616161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222444455101010101010244441010101020202020202020202444444488882020202020202020101020202020202020202020202020204040404040404040224444444444888822444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ4111111111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ5111111111111111111111111111111111-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111
χ91111111111111111-1-11-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-11-1-111
χ101111111111111111-1-11-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-11-111-1-1
χ111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111111
χ121111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11111111-1-1-1-1-1
χ131111111111111111-1-11-1-1-1-1-1-111111111-11111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1111-1-1
χ141111111111111111-1-11-1-1-1-1-1-111111111-11111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1111-1-1-111
χ151111111111111111-1-11-1-1-1-1-1-111111111-111-1-111-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111111111-11-1-1-1-1
χ161111111111111111-1-11-1-1-1-1-1-111111111-111-1-111-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-11111
χ171111-1-1111111111111-1-1-11111-1-1-1-111111-111-11-1-11-11-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111111-11-11-11-111-1-11-1-1-11-11-1
χ181111-1-1111111111111-1-1-11111-1-1-1-111111-111-11-1-11-11-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-11-11-11-11-1-111-1111-11-11
χ191111-1-1111111111111-1-1-11111-1-1-1-111111-11-11-11-1-11-1111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1111111-11-11-11-1111-1-1-11-1-1-111-1
χ201111-1-1111111111111-1-1-11111-1-1-1-111111-11-11-11-1-11-1111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11-11-11-11-1-1-1111-1111-1-11
χ211111-1-1111111111111-1-1-11111-1-1-1-11111-11-11-11-11-11-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111111-11-11-11-1-1-111-11-1-1-11-11
χ221111-1-1111111111111-1-1-11111-1-1-1-11111-11-11-11-11-11-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-11-11-11-1111-1-11-1111-11-1
χ231111-1-1111111111111-1-1-11111-1-1-1-11111-11-1-11-1111-11-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-11-11-11-11-1-1111-1-1-11-1-11
χ241111-1-1111111111111-1-1-11111-1-1-1-11111-11-1-11-1111-11-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11-11-11-11-111-1-1-1111-111-1
χ251111-1-11111111111-1-1-111-1-1-1-1-1-1-1-1111111-11-1-11-11-1-11-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11-1-1111-11-1-111-1
χ261111-1-11111111111-1-1-111-1-1-1-1-1-1-1-1111111-11-1-11-11-1-11-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-111-1-111-111-1-1-11-111-1-11
χ271111-1-11111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1-111-1-1-111-111-11-11-1
χ281111-1-11111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-11-1-11-11-11
χ291111-1-11111111111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-111-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-11-1-111-1-1111-1-1-111-11-1-11
χ301111-1-11111111111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-111-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-111-1-1-1111-1-11-111-1
χ311111-1-11111111111-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-111-1-11-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-111-1-111-111-1-11-11-1-11-11
χ321111-1-11111111111-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-111-1-11-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-1-111-1-11-1-111-11-111-11-1
χ3322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ3422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-2-2-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ3522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-22222-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ3622222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ3722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-222-2-2222-2-21−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ3822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2222-2-2221−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ3922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22222-2-2-2-2-2221−521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ4022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-222-222-2-21−521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ4122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ4222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2-2-2-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ4322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-22222-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ4422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ4522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-222-2-2222-2-21+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ4622222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2222-2-2221+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4722222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22222-2-2-2-2-2221+521−521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ4822222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-222-222-2-21+521−521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ49222222-2-2222222222-2-2-2222222222-2-2-2-2000000000000-2-222-2-2-2-2000000000000000000000000000022-2-2-2-222000000000000
χ50222222-2-2222222222-2-2-2222222222-2-2-2-2000000000000-2-222-2-2-2-20000000000000000000000000000-2-22222-2-2000000000000
χ51222222-2-222222222-22-22-2-2-2-2-22222-2-2-2-200000000000022-2-2-2-22200000000000000000000000000002222-2-2-2-2000000000000
χ52222222-2-222222222-22-22-2-2-2-2-22222-2-2-2-200000000000022-2-2-2-2220000000000000000000000000000-2-2-2-22222000000000000
χ532222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-222-22-2-22-22-2−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000000
χ542222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-22-22-22-2-22-22−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000
χ552222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-22-22-22-22-22−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000
χ562222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-22-2-22-2222-22-2−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000000
χ572222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-22-2-22-22-2-221−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000000
χ582222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-222-2-2-222-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000
χ592222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222-2-222-222-21−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000
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χ948-88-80000−2+25−2−252−252−252+252+25−2+25−2−25000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000000000000000
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χ988-8-888-800−2+25−2−252−25−2+252+25−2−252−252+25000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-888-800−2−25−2+252+25−2−252−25−2+252+252−25000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-8800−2+25−2−252−25−2+252+25−2−252−252+250000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8800−2−25−2+252+25−2−252−25−2+252+252−250000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.