Finite Group Databasebeta

← Group #14481712

Character table — Group #14481712

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222244444444444444441212121212121212222244444444444444888888888888888824242424242424242222444444444444448888888888888888242424242424242455551010101010101010101010101010202020202020202020202020202020206060606060606060
order12222222223666666644446666121212121212121244444444510101010101010101015303030303030302020202030303030606060606060606020202020202020205101010101010101010153030303030303020202020303030306060606060606060202020202020202022222222226666666644446666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ91111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-11-11-11-11-11111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-11-11-11-11-11111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-11-11-11-11-11111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-11-11-11-11-1
χ101111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-11-11-11-111111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-11-11-11-111111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-11-11-11-111111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-11-11-11-11
χ111111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-1111-11-1-11-111111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-1111-11-1-11-111111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-1111-11-1-11-111111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-1111-11-1-11-11
χ121111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-111-11-111-11-11111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-111-11-111-11-11111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-111-11-111-11-11111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-111-11-111-11-1
χ131111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-1111-1-111-1-11
χ141111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-111-111-1-111-11111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-111-111-1-111-11111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-111-111-1-111-11111-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-111-111-1-111-1
χ151111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-11-1-11-111-11111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-11-1-11-111-11111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-11-1-11-111-11111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-11-1-11-111-1
χ161111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-1-111-11-1-111111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-1-111-11-1-111111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-1-111-11-1-111111-1-1-1-11111-1-1-1-111-111-1-1-111-1-11111-1-1-111-11-1-11
χ172222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ182222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ19222222-2-2-2-2-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000222222-2-2-2-2-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000222222-2-2-2-2-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000222222-2-2-2-2-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000
χ20222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000
χ212222-2-222-2-2-1-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-222-2-2-1-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-222-2-2-1-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-222-2-2-1-11111-1-12-22-2-1-111-1-111-1-11100000000
χ222222-2-222-2-2-1-11111-1-1-22-22-1-11111-1-111-1-1000000002222-2-222-2-2-1-11111-1-1-22-22-1-11111-1-111-1-1000000002222-2-222-2-2-1-11111-1-1-22-22-1-11111-1-111-1-1000000002222-2-222-2-2-1-11111-1-1-22-22-1-11111-1-111-1-100000000
χ232222-2-2-2-222-1-11111-1-12-2-2211-1-1-1-11111-1-1000000002222-2-2-2-222-1-11111-1-12-2-2211-1-1-1-11111-1-1000000002222-2-2-2-222-1-11111-1-12-2-2211-1-1-1-11111-1-1000000002222-2-2-2-222-1-11111-1-12-2-2211-1-1-1-11111-1-100000000
χ242222-2-2-2-222-1-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-2-222-1-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-2-222-1-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-2-222-1-11111-1-1-222-211-1-111-1-1-1-11100000000
χ2522-2-22-22-22-22222-2-2-2-200002-22-2000000000000000022-2-22-22-22-22222-2-2-2-200002-22-2000000000000000022-2-22-22-22-22222-2-2-2-200002-22-2000000000000000022-2-22-22-22-22222-2-2-2-200002-22-20000000000000000
χ2622-2-22-22-22-2-1-1-1-111110000-11-113−33−33−33−30000000022-2-22-22-22-2-1-1-1-111110000-11-113−33−33−33−30000000022-2-22-22-22-2-1-1-1-111110000-11-113−33−33−33−30000000022-2-22-22-22-2-1-1-1-111110000-11-113−33−33−33−300000000
χ2722-2-22-22-22-2-1-1-1-111110000-11-11−33−33−33−330000000022-2-22-22-22-2-1-1-1-111110000-11-11−33−33−33−330000000022-2-22-22-22-2-1-1-1-111110000-11-11−33−33−33−330000000022-2-22-22-22-2-1-1-1-111110000-11-11−33−33−33−3300000000
χ2822-2-22-2-22-222222-2-2-2-20000-22-22000000000000000022-2-22-2-22-222222-2-2-2-20000-22-22000000000000000022-2-22-2-22-222222-2-2-2-20000-22-22000000000000000022-2-22-2-22-222222-2-2-2-20000-22-220000000000000000
χ2922-2-22-2-22-22-1-1-1-1111100001-11-13−33−3−33−330000000022-2-22-2-22-22-1-1-1-1111100001-11-13−33−3−33−330000000022-2-22-2-22-22-1-1-1-1111100001-11-13−33−3−33−330000000022-2-22-2-22-22-1-1-1-1111100001-11-13−33−3−33−3300000000
χ3022-2-22-2-22-22-1-1-1-1111100001-11-1−33−333−33−30000000022-2-22-2-22-22-1-1-1-1111100001-11-1−33−333−33−30000000022-2-22-2-22-22-1-1-1-1111100001-11-1−33−333−33−30000000022-2-22-2-22-22-1-1-1-1111100001-11-1−33−333−33−300000000
χ3122-2-2-222-2-2222-2-222-2-200002-2-22000000000000000022-2-2-222-2-2222-2-222-2-200002-2-22000000000000000022-2-2-222-2-2222-2-222-2-200002-2-22000000000000000022-2-2-222-2-2222-2-222-2-200002-2-220000000000000000
χ3222-2-2-222-2-22-1-111-1-1110000-111-13−3−333−3−330000000022-2-2-222-2-22-1-111-1-1110000-111-13−3−333−3−330000000022-2-2-222-2-22-1-111-1-1110000-111-13−3−333−3−330000000022-2-2-222-2-22-1-111-1-1110000-111-13−3−333−3−3300000000
χ3322-2-2-222-2-22-1-111-1-1110000-111-1−333−3−333−30000000022-2-2-222-2-22-1-111-1-1110000-111-1−333−3−333−30000000022-2-2-222-2-22-1-111-1-1110000-111-1−333−3−333−30000000022-2-2-222-2-22-1-111-1-1110000-111-1−333−3−333−300000000
χ3422-2-2-22-222-222-2-222-2-20000-222-2000000000000000022-2-2-22-222-222-2-222-2-20000-222-2000000000000000022-2-2-22-222-222-2-222-2-20000-222-2000000000000000022-2-2-22-222-222-2-222-2-20000-222-20000000000000000
χ3522-2-2-22-222-2-1-111-1-11100001-1-113−3−33−333−30000000022-2-2-22-222-2-1-111-1-11100001-1-113−3−33−333−30000000022-2-2-22-222-2-1-111-1-11100001-1-113−3−33−333−30000000022-2-2-22-222-2-1-111-1-11100001-1-113−3−33−333−300000000
χ3622-2-2-22-222-2-1-111-1-11100001-1-11−333−33−3−330000000022-2-2-22-222-2-1-111-1-11100001-1-11−333−33−3−330000000022-2-2-22-222-2-1-111-1-11100001-1-11−333−33−3−330000000022-2-2-22-222-2-1-111-1-11100001-1-11−333−33−3−3300000000
χ374-44-40000004-400004-40000000000000000000000004-44-40000004-400004-40000000000000000000000004-44-40000004-400004-40000000000000000000000004-44-40000004-400004-4000000000000000000000000
χ384-44-4000000-22−2i32i3−2i32i3-220000000000000000000000004-44-4000000-22−2i32i3−2i32i3-220000000000000000000000004-44-4000000-22−2i32i3−2i32i3-220000000000000000000000004-44-4000000-22−2i32i3−2i32i3-22000000000000000000000000
χ394-44-4000000-222i3−2i32i3−2i3-220000000000000000000000004-44-4000000-222i3−2i32i3−2i3-220000000000000000000000004-44-4000000-222i3−2i32i3−2i3-220000000000000000000000004-44-4000000-222i3−2i32i3−2i3-22000000000000000000000000
χ404-4-440000004-40000-440000000000000000000000004-4-440000004-40000-440000000000000000000000004-4-440000004-40000-440000000000000000000000004-4-440000004-40000-44000000000000000000000000
χ414-4-44000000-22−2i32i32i3−2i32-20000000000000000000000004-4-44000000-22−2i32i32i3−2i32-20000000000000000000000004-4-44000000-22−2i32i32i3−2i32-20000000000000000000000004-4-44000000-22−2i32i32i3−2i32-2000000000000000000000000
χ424-4-44000000-222i3−2i3−2i32i32-20000000000000000000000004-4-44000000-222i3−2i3−2i32i32-20000000000000000000000004-4-44000000-222i3−2i3−2i32i32-20000000000000000000000004-4-44000000-222i3−2i3−2i32i32-2000000000000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ47111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111
χ48111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ49111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1
χ50111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111
χ511111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-11-11-11-11-11111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-11-11-11-11-11111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-11-11-11-11-1-1-1-1-111-1-111-1-11111-1-1-11-11-1-111-1-111-1-111-11-11-11-11
χ521111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-11-11-11-111111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-11-11-11-111111-1-111-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-11-11-11-11-1-1-1-111-1-111-1-11111-1-1-11-11-1-111-1-111-1-1111-11-11-11-1
χ531111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-1111-11-1-11-111111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-1111-11-1-11-111111-1-111-1-111-1-1-1-111-11-1111-1-1-1-111-1-1111-11-1-11-11-1-1-1-111-1-111-1-11111-1-11-11-1-1-11111-1-111-1-1-11-111-11-1
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.