Finite Group Databasebeta

← Group #72310437

Character table — Group #72310437

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145
size1111222222222244444444444444888888888888888816161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222222222222224422222222222244444444444444444442444444444444444444444444444444444444444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111
χ9111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ10111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ11111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1
χ12111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ13111111111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ14111111111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1
χ15111111111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ16111111111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111
χ1711111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1iiii−i−i−i−i-11-1-11ii−i−i11-1-11-1ii−i−iii−i−i-1-1-1-1iiii−i−i−i−i111111111-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−ii−ii−i
χ1811111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1iiii−i−i−i−i-1-111-1ii−i−i11-1-11-1ii−i−iii−i−i1111iiii−i−i−i−i1111-1-1-1-1-111111-1-1-1-1-1-1ii−i−i−i−iii−i−iii−ii−ii
χ1911111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1−i−i−i−iiiii-11-1-11−i−iii11-1-11-1−i−iii−i−iii-1-1-1-1−i−i−i−iiiii111111111-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−ii−ii
χ2011111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1−i−i−i−iiiii-1-111-1−i−iii11-1-11-1−i−iii−i−iii1111−i−i−i−iiiii1111-1-1-1-1-111111-1-1-1-1-1-1−i−iiiii−i−iii−i−ii−ii−i
χ2111111111-1-111-1-11111-1-1-1-1-111-11111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111iiii−i−i−i−i-11-1-11−i−iii11-1-1-11ii−i−i−i−iii1111iiii−i−i−i−i-1-1-1-1-1-1-1-11-1-1-1111111-1-1−i−iiiii−i−i−i−iii−iii−i
χ2211111111-1-111-1-11111-1-1-1-1-111-11111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111iiii−i−i−i−i-1-111-1−i−iii11-1-1-11ii−i−i−i−iii-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1111-1-111-1-111−i−iii−i−iiiii−i−ii−i−ii
χ2311111111-1-111-1-11111-1-1-1-1-111-11111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111−i−i−i−iiiii-11-1-11ii−i−i11-1-1-11−i−iiiii−i−i1111−i−i−i−iiiii-1-1-1-1-1-1-1-11-1-1-1111111-1-1ii−i−i−i−iiiii−i−ii−i−ii
χ2411111111-1-111-1-11111-1-1-1-1-111-11111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111−i−i−i−iiiii-1-111-1ii−i−i11-1-1-11−i−iiiii−i−i-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1111-1-111-1-111ii−i−iii−i−i−i−iii−iii−i
χ2511111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1iiii−i−i−i−i-11-1-11ii−i−i-1-1111-1ii−i−iii−i−i1111−i−i−i−iiiii-1-1-1-1-1-1-1-11-111-1-111-1-111−i−iii−i−iii−i−iiii−ii−i
χ2611111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1iiii−i−i−i−i-1-111-1ii−i−i-1-1111-1ii−i−iii−i−i-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11-1-1111111-1-1−i−iiiii−i−iii−i−i−ii−ii
χ2711111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1−i−i−i−iiiii-11-1-11−i−iii-1-1111-1−i−iii−i−iii1111iiii−i−i−i−i-1-1-1-1-1-1-1-11-111-1-111-1-111ii−i−iii−i−iii−i−i−ii−ii
χ2811111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1−i−i−i−iiiii-1-111-1−i−iii-1-1111-1−i−iii−i−iii-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11-1-1111111-1-1ii−i−i−i−iii−i−iiii−ii−i
χ2911111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111iiii−i−i−i−i-11-1-11−i−iii-1-111-11ii−i−i−i−iii-1-1-1-1−i−i−i−iiiii111111111-11111-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−iii−i
χ3011111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111iiii−i−i−i−i-1-111-1−i−iii-1-111-11ii−i−i−i−iii1111−i−i−i−iiiii1111-1-1-1-1-11-1-1-1-1-1-11111ii−i−iii−i−i−i−iiii−i−ii
χ3111111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111−i−i−i−iiiii-11-1-11ii−i−i-1-111-11−i−iiiii−i−i-1-1-1-1iiii−i−i−i−i111111111-11111-1-1-1-1-1-1−i−iiiii−i−i−i−iiii−i−ii
χ3211111111-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111−i−i−i−iiiii-1-111-1ii−i−i-1-111-11−i−iiiii−i−i1111iiii−i−i−i−i1111-1-1-1-1-11-1-1-1-1-1-11111−i−iii−i−iiiii−i−i−iii−i
χ332222222222222222222222222222222222222222-2-222-2-2222222-22-2-2-2-2-2-22-2222200000000-200000000-2-2-2-2-2-20000000000000000000022-2-200000000002-200000000000000000000
χ342222222222222222222222222222222222222-2-22-2-2-2-2-2-22222222-22-2-2-2-22-22-2-2-2-200000000-200000000-2-2-2-22200000000000000000000-2-2220000000000-2200000000000000000000
χ35222222222222222222222222222222222-2-2-2-2222-2-222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-22-2222200000000-2000000002222-2-200000000000000000000-2-2220000000000-2200000000000000000000
χ36222222222222222222222222222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-22-22-2-2-2-22-22-2-2-2-200000000-2000000002222220000000000000000000022-2-200000000002-200000000000000000000
χ3722222222222222222222222-2-22-2-2-2-2-2-2-2000000-2-2-200-2-2000000000-2222000000022-2-222-2-22000000000000002-22-200002i2i−2i−2i0000000000002i2i−2i−2i000000000000000000002i−2i2i−2i0000
χ3822222222222222222222222-2-22-2-2-2-2-2-2-2000000-2-2-200-2-2000000000-2222000000022-2-222-2-22000000000000002-22-20000−2i−2i2i2i000000000000−2i−2i2i2i00000000000000000000−2i2i−2i2i0000
χ3922222222222222222222222-2-22-2-2-2-2-2-2-2000000-2-2-200-2-2000000000-22220000000-2-222-2-222200000000000000-22-2200002i2i−2i−2i0000000000002i2i−2i−2i00000000000000000000−2i2i−2i2i0000
χ4022222222222222222222222-2-22-2-2-2-2-2-2-2000000-2-2-200-2-2000000000-22220000000-2-222-2-222200000000000000-22-220000−2i−2i2i2i000000000000−2i−2i2i2i000000000000000000002i−2i2i−2i0000
χ4122222222222222-2-2-2-222-2-2-222-222-2-222-2000022-222222-2000000222-22-22222-2-2-2-200000000-2000000000000-2-2000000002-22-20000000000002-22-2002-200002-2000000000000000000
χ4222222222222222-2-2-2-222-2-2-222-222-2-222-2000022-222222-2000000222-22-22222-2-2-2-200000000-2000000000000-2-200000000-22-22000000000000-22-2200-220000-22000000000000000000
χ4322222222222222-2-2-2-222-2-2-222-222-2-222-2000022-2-2-222-22000000-22-22-22-2-22-2-2-2-2-2000000002222200000000220000000000000000000000000000-2-2002-200002-20000000000000000
χ4422222222222222-2-2-2-222-2-2-222-222-2-222-2000022-2-2-222-22000000-22-22-22-2-22-2-2-2-2-2000000002-2-2-2-2000000002200000000000000000000000000002200-220000-220000000000000000
χ4522222222222222-2-2-2-222-2-2-222-222-2-222-20000-2-2-222-2-22-2000000-2-2-2-22-22-2-2-2222200000000-200000000000022000000002-22-20000000000002-22-200-220000-22000000000000000000
χ4622222222222222-2-2-2-222-2-2-222-222-2-222-20000-2-2-222-2-22-2000000-2-2-2-22-22-2-2-2222200000000-20000000000002200000000-22-22000000000000-22-22002-200002-2000000000000000000
χ4722222222222222-2-2-2-222-2-2-222-222-2-222-20000-2-2-2-2-2-2-2-220000002-222-22-22-222222000000002222200000000-2-20000000000000000000000000000-2-200-220000-220000000000000000
χ4822222222222222-2-2-2-222-2-2-222-222-2-222-20000-2-2-2-2-2-2-2-220000002-222-22-22-222222000000002-2-2-2-200000000-2-2000000000000000000000000000022002-200002-20000000000000000
χ4922222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-220000002-2-200-2200000000022-22000000000000000-200002-22-200000000002-22-22i−2i−2i2i0000000000002i−2i−2i2i00000000000000002i−2i2i−2i00000000
χ5022222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-220000002-2-200-2200000000022-22000000000000000-200002-22-200000000002-22-2−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000−2i2i−2i2i00000000
χ5122222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-220000002-2-200-2200000000022-22000000000000000-20000-22-220000000000-22-222i−2i−2i2i0000000000002i−2i−2i2i0000000000000000−2i2i−2i2i00000000
χ5222222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-220000002-2-200-2200000000022-22000000000000000-20000-22-220000000000-22-22−2i2i2i−2i000000000000−2i2i2i−2i00000000000000002i−2i2i−2i00000000
χ5322222222-2-222-2-22222-2-2-2-2-222-22222-2-2-2222222-22222-2-222-2-2-2-2-2-222-2-22-2-2222-2-200000000200000000-2-222-220000000000000000000022-2-20000000000-2200000000000000000000
χ5422222222-2-222-2-22222-2-2-2-2-222-22222-2-2-22222-2-2-222-2-2-2-222-2-2-2-222-22-2-2222-2-2-22200000000200000000-2-2222-200000000000000000000-2-22200000000002-200000000000000000000
χ5522222222-2-222-2-22222-2-2-2-2-222-22222-2-2-2-2-2-2-222-22222-2-2-2-22222-2-222-2-22-2-2222-2-20000000020000000022-2-2-2200000000000000000000-2-22200000000002-200000000000000000000
χ5622222222-2-222-2-22222-2-2-2-2-222-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222-22-2-2222-2-2-2220000000020000000022-2-22-20000000000000000000022-2-20000000000-2200000000000000000000
χ5722222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222200000022200-2-2000000000222-200000002i2i−2i−2i−2i−2i2i2i-2000000000000002i−2i−2i2i00002i2i−2i−2i000000000000−2i−2i2i2i000000000000000000002-2-220000
χ5822222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222200000022200-2-2000000000222-200000002i2i−2i−2i−2i−2i2i2i-2000000000000002i−2i−2i2i0000−2i−2i2i2i0000000000002i2i−2i−2i00000000000000000000-222-20000
χ5922222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222200000022200-2-2000000000222-20000000−2i−2i2i2i2i2i−2i−2i-200000000000000−2i2i2i−2i00002i2i−2i−2i000000000000−2i−2i2i2i00000000000000000000-222-20000
χ6022222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222200000022200-2-2000000000222-20000000−2i−2i2i2i2i2i−2i−2i-200000000000000−2i2i2i−2i0000−2i−2i2i2i0000000000002i2i−2i−2i000000000000000000002-2-220000
χ6122222222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2200002222222-22000000-2-22-2-222-2-22-2-22200000000-22-2-22000000002-20000000000000000000000000000-2200-2200002-20000000000000000
χ6222222222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2200002222222-22000000-2-22-2-222-2-22-2-22200000000-2-222-2000000002-200000000000000000000000000002-2002-20000-220000000000000000
χ6322222222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-220000222-2-2222-20000002-2-222-2-22-2-2-2-222000000002000000000000-22000000002-22-2000000000000-22-22002-20000-22000000000000000000
χ6422222222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-220000222-2-2222-20000002-2-222-2-22-2-2-2-222000000002000000000000-2200000000-22-220000000000002-22-200-2200002-2000000000000000000
χ6522222222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-220000-2-2222-2-2-2200000022-2-2-22222-222-2-200000000-22-2-2200000000-220000000000000000000000000000-22002-20000-220000000000000000
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Here i is the imaginary unit (i² = −1).