Finite Group Databasebeta

← Group #14908505

Character table — Group #14908505

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161
size1122222224444888888881616224444444888816161616161616163232224444444888816161616161616163232224444444888816161616161616163232224444444888816161616161616163232224444444888816161616161616163232111122222222222222444444448888888888888888176176
order1224488884488248816161616441122224444888888884444888822448888176176176176444411222244448888888844448888224488881761761761764444112222444488888888444488882244888817617617617644441122224444888888884444888822448888176176176176444411222244448888888844448888224488881761761761764444222448888448824881616161644
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ511111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1
χ611111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11
χ711111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11
χ811111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1
χ92222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-220000000000
χ1022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-20000000000
χ1122-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i000000
χ1222-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i000000
χ1322-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-200000000
χ1422-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-2200000000
χ1522-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i200
χ1622-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i200
χ1722-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i200
χ1822-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i200
χ19444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000
χ204-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i000000000000
χ214-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i000000000000
χ224-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i000000000000
χ234-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i000000000000
χ24111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ271111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2811111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1-1-1-1-1-111-1-111-11-1-111-1-111-11
χ2911111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11-1-1-1-1-111-1-111-11-1-11111-1-11-1
χ3011111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11-1-1-1-1-111-1-111-1111-1-1-1-1111-1
χ3111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1-111-1111-1-111-1-1-11
χ322222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-220000000000-2-2-2-2-2-2-222222-20000000000
χ3322222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-20000000000-2-2-2-2-22222-2-2220000000000
χ3422-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i000000-2-22-2200-2-2002000−2i2i000000
χ3522-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i000000-2-22-2200-2-20020002i−2i000000
χ3622-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-200000000-2-22-22002200-20-2200000000
χ3722-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-2200000000-2-22-22002200-202-200000000
χ3822-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i200-2-222-2-2-20000020000−i2i2−i2i200
χ3922-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i200-2-222-2-2-20000020000i2−i2i2−i200
χ4022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i200-2-222-22200000-20000−i2i2i2−i200
χ4122-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i200-2-222-22200000-20000i2−i2−i2i200
χ42444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000-4-4-444000000000000000000
χ434-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i0000000000004-400022−222i2−2i22i−2i000000000000-44000−2222−2i22i2−2i2i000000000000
χ444-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i0000000000004-400022−22−2i22i2−2i2i000000000000-44000−22222i2−2i22i−2i000000000000
χ454-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i0000000000004-4000−22222i2−2i2−2i2i000000000000-4400022−22−2i22i22i−2i000000000000
χ464-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i0000000000004-4000−2222−2i22i22i−2i000000000000-4400022−222i2−2i2−2i2i000000000000
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χ1588-800042−424i2−4i24i−4i000000000000−4ζ4−4ζ844ζ4+4ζ84000−2ζ7−2ζ15+2ζ29+2ζ372ζ7+2ζ15−2ζ29−2ζ37−2ζ7−2ζ15−2ζ29−2ζ372ζ7+2ζ15+2ζ29+2ζ372ζ62+2ζ70−2ζ62−2ζ70000000000000−4ζ36−4ζ524ζ36+4ζ52000−2ζ47−2ζ63+2ζ69+2ζ852ζ47+2ζ63−2ζ69−2ζ85−2ζ47−2ζ63−2ζ69−2ζ852ζ47+2ζ63+2ζ69+2ζ852ζ14+2ζ30−2ζ14−2ζ30000000000000−4ζ12−4ζ764ζ12+4ζ760002ζ21−2ζ23+2ζ45−2ζ87−2ζ21+2ζ23−2ζ45+2ζ87−2ζ21−2ζ23−2ζ45−2ζ872ζ21+2ζ23+2ζ45+2ζ872ζ54+2ζ78−2ζ54−2ζ78000000000000−4ζ28−4ζ604ζ28+4ζ600002ζ5−2ζ39+2ζ61−2ζ71−2ζ5+2ζ39−2ζ61+2ζ71−2ζ5−2ζ39−2ζ61−2ζ712ζ5+2ζ39+2ζ61+2ζ712ζ6+2ζ38−2ζ6−2ζ38000000000000−4ζ20−4ζ684ζ20+4ζ680002ζ13−2ζ31+2ζ53−2ζ79−2ζ13+2ζ31−2ζ53+2ζ79−2ζ13−2ζ31−2ζ53−2ζ792ζ13+2ζ31+2ζ53+2ζ792ζ46+2ζ86−2ζ46−2ζ8600000000000000000000000000000000000
χ1598-800042−42−4i24i2−4i4i000000000000−4ζ4−4ζ844ζ4+4ζ84000−2ζ7−2ζ15+2ζ29+2ζ372ζ7+2ζ15−2ζ29−2ζ372ζ7+2ζ15+2ζ29+2ζ37−2ζ7−2ζ15−2ζ29−2ζ37−2ζ62−2ζ702ζ62+2ζ70000000000000−4ζ36−4ζ524ζ36+4ζ52000−2ζ47−2ζ63+2ζ69+2ζ852ζ47+2ζ63−2ζ69−2ζ852ζ47+2ζ63+2ζ69+2ζ85−2ζ47−2ζ63−2ζ69−2ζ85−2ζ14−2ζ302ζ14+2ζ30000000000000−4ζ12−4ζ764ζ12+4ζ760002ζ21−2ζ23+2ζ45−2ζ87−2ζ21+2ζ23−2ζ45+2ζ872ζ21+2ζ23+2ζ45+2ζ87−2ζ21−2ζ23−2ζ45−2ζ87−2ζ54−2ζ782ζ54+2ζ78000000000000−4ζ28−4ζ604ζ28+4ζ600002ζ5−2ζ39+2ζ61−2ζ71−2ζ5+2ζ39−2ζ61+2ζ712ζ5+2ζ39+2ζ61+2ζ71−2ζ5−2ζ39−2ζ61−2ζ71−2ζ6−2ζ382ζ6+2ζ38000000000000−4ζ20−4ζ684ζ20+4ζ680002ζ13−2ζ31+2ζ53−2ζ79−2ζ13+2ζ31−2ζ53+2ζ792ζ13+2ζ31+2ζ53+2ζ79−2ζ13−2ζ31−2ζ53−2ζ79−2ζ46−2ζ862ζ46+2ζ8600000000000000000000000000000000000
χ1608-8000−42424i2−4i2−4i4i000000000000−4ζ4−4ζ844ζ4+4ζ840002ζ7+2ζ15−2ζ29−2ζ37−2ζ7−2ζ15+2ζ29+2ζ37−2ζ7−2ζ15−2ζ29−2ζ372ζ7+2ζ15+2ζ29+2ζ37−2ζ62−2ζ702ζ62+2ζ70000000000000−4ζ36−4ζ524ζ36+4ζ520002ζ47+2ζ63−2ζ69−2ζ85−2ζ47−2ζ63+2ζ69+2ζ85−2ζ47−2ζ63−2ζ69−2ζ852ζ47+2ζ63+2ζ69+2ζ85−2ζ14−2ζ302ζ14+2ζ30000000000000−4ζ12−4ζ764ζ12+4ζ76000−2ζ21+2ζ23−2ζ45+2ζ872ζ21−2ζ23+2ζ45−2ζ87−2ζ21−2ζ23−2ζ45−2ζ872ζ21+2ζ23+2ζ45+2ζ87−2ζ54−2ζ782ζ54+2ζ78000000000000−4ζ28−4ζ604ζ28+4ζ60000−2ζ5+2ζ39−2ζ61+2ζ712ζ5−2ζ39+2ζ61−2ζ71−2ζ5−2ζ39−2ζ61−2ζ712ζ5+2ζ39+2ζ61+2ζ71−2ζ6−2ζ382ζ6+2ζ38000000000000−4ζ20−4ζ684ζ20+4ζ68000−2ζ13+2ζ31−2ζ53+2ζ792ζ13−2ζ31+2ζ53−2ζ79−2ζ13−2ζ31−2ζ53−2ζ792ζ13+2ζ31+2ζ53+2ζ79−2ζ46−2ζ862ζ46+2ζ8600000000000000000000000000000000000
χ1618-8000−4242−4i24i24i−4i000000000000−4ζ4−4ζ844ζ4+4ζ840002ζ7+2ζ15−2ζ29−2ζ37−2ζ7−2ζ15+2ζ29+2ζ372ζ7+2ζ15+2ζ29+2ζ37−2ζ7−2ζ15−2ζ29−2ζ372ζ62+2ζ70−2ζ62−2ζ70000000000000−4ζ36−4ζ524ζ36+4ζ520002ζ47+2ζ63−2ζ69−2ζ85−2ζ47−2ζ63+2ζ69+2ζ852ζ47+2ζ63+2ζ69+2ζ85−2ζ47−2ζ63−2ζ69−2ζ852ζ14+2ζ30−2ζ14−2ζ30000000000000−4ζ12−4ζ764ζ12+4ζ76000−2ζ21+2ζ23−2ζ45+2ζ872ζ21−2ζ23+2ζ45−2ζ872ζ21+2ζ23+2ζ45+2ζ87−2ζ21−2ζ23−2ζ45−2ζ872ζ54+2ζ78−2ζ54−2ζ78000000000000−4ζ28−4ζ604ζ28+4ζ60000−2ζ5+2ζ39−2ζ61+2ζ712ζ5−2ζ39+2ζ61−2ζ712ζ5+2ζ39+2ζ61+2ζ71−2ζ5−2ζ39−2ζ61−2ζ712ζ6+2ζ38−2ζ6−2ζ38000000000000−4ζ20−4ζ684ζ20+4ζ68000−2ζ13+2ζ31−2ζ53+2ζ792ζ13−2ζ31+2ζ53−2ζ792ζ13+2ζ31+2ζ53+2ζ79−2ζ13−2ζ31−2ζ53−2ζ792ζ46+2ζ86−2ζ46−2ζ8600000000000000000000000000000000000

Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.