Finite Group Databasebeta

← Group #72310440

Character table — Group #72310440

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133
size11222222244444444444444888888888888888881616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222222222244222222222222444444444442444444444444444444444444444444444444444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111
χ7111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111111111-1-1111-1-111111111-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1
χ911111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1011111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1
χ1111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ1211111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ1311111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ1411111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ1511111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111
χ1611111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ1711111111111-1-1-1-1-1-111-1-111111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1-111-1-111-1-11-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111-1ii−i−i-1-1-1-1-1-11111ii−i−iii−i−iii−i−ii−ii−i
χ1811111111111-1-1-1-1-1-111-1-111111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1-111-1-111-1-11-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111111-1−i−iii-1-1-1-1-1-11111−i−iii−i−iii−i−iii−ii−ii
χ1911111111111-1-1-1-1-1-111-1-111111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1-1-1-11111-1-11-11111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11ii−i−i1111-1-1-1-1-1-1ii−i−i−i−iii−i−iii−ii−ii
χ2011111111111-1-1-1-1-1-111-1-111111-1-1-1111111-1-1-1111111-1-1-1-11-1-1-111-11-1-111-1-1-1-1-11111-1-11-11111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11−i−iii1111-1-1-1-1-1-1−i−iiiii−i−iii−i−ii−ii−i
χ2111111111111-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-111-1-111-1-1-111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-11-1ii−i−i-1-1111111-1-1−i−iiiii−i−i−i−iiii−i−ii
χ2211111111111-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-111-1-111-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-11-1−i−iii-1-1111111-1-1ii−i−i−i−iiiii−i−i−iii−i
χ2311111111111-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-1-1-11111-1-1-11-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11ii−i−i11-1-111-1-111−i−iii−i−iiiii−i−i−iii−i
χ2411111111111-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-1-1-11111-1-1-11-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11−i−iii11-1-111-1-111ii−i−iii−i−i−i−iiii−i−ii
χ2511111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1-111-1-1-1-1111-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11-1−i−iii11-1-111-1-111−i−iii−i−iii−i−iiii−ii−i
χ2611111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1-111-1-1-1-1111-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11-1ii−i−i11-1-111-1-111ii−i−iii−i−iii−i−i−ii−ii
χ2711111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1-1-1-111-1-1111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11−i−iii-1-1111111-1-1−i−iiiii−i−iii−i−i−ii−ii
χ2811111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-111-1-1-11111-1-111111-1-1-111-11-1-111-1-1-1-1-111-1-1111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11ii−i−i-1-1111111-1-1ii−i−i−i−iii−i−iiii−ii−i
χ2911111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111-111-1-1-1-111-11-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111111111-1−i−iii1111-1-1-1-1-1-1ii−i−i−i−iiiii−i−ii−i−ii
χ3011111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111-111-1-1-1-111-11-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111111111-1ii−i−i1111-1-1-1-1-1-1−i−iiiii−i−i−i−iii−iii−i
χ3111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111-1-1-111-1-111-111111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11−i−iii-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−iii−i
χ3211111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-111-1-111-1-1-111-1-111-111111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11ii−i−i-1-1-1-1-1-11111−i−iii−i−iiiii−i−ii−i−ii
χ33222222222222222222222222222222222222-2-222-2-2222222-22-2-2-2-2-2-22-22222-20000-2-2-2-2-2-20000000000000000000022-2-2000000000000002-200000000000000000000
χ34222222222222222222222222222222222-2-22-2-2-2-2-2-22222222-22-2-2-2-22-22-2-2-2-2-20000-2-2-2-22200000000000000000000-2-22200000000000000-2200000000000000000000
χ3522222222222222222222222222222-2-2-2-2222-2-222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-22-22222-200002222-2-200000000000000000000-2-22200000000000000-2200000000000000000000
χ3622222222222222222222222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-22-22-2-2-2-22-22-2-2-2-2-200002222220000000000000000000022-2-2000000000000002-200000000000000000000
χ372222222222222-2-222-2-2-2-2-2-22-2-222-2000000-22200220000000002-2-2-20000000-200000000002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i000000000000000000002-22-200000000
χ382222222222222-2-222-2-2-2-2-2-22-2-222-2000000-22200220000000002-2-2-20000000-200000000002i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i00000000000000000000-22-2200000000
χ392222222222222-2-222-2-2-2-2-2-22-2-222-2000000-22200220000000002-2-2-20000000-20000000000−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i00000000000000000000-22-2200000000
χ402222222222222-2-222-2-2-2-2-2-22-2-222-2000000-22200220000000002-2-2-20000000-20000000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i000000000000000000002-22-200000000
χ4122222222222-2-222-2-2-2-222-2-22-2-2-2-220000002-2-20022000000000-2-2-220000000200000000002i2i−2i−2i0000000022-2-2-2-2220000−2i−2i2i2i000000000000000000002i−2i−2i2i00000000
χ4222222222222-2-222-2-2-2-222-2-22-2-2-2-220000002-2-20022000000000-2-2-220000000200000000002i2i−2i−2i00000000-2-22222-2-20000−2i−2i2i2i00000000000000000000−2i2i2i−2i00000000
χ4322222222222-2-222-2-2-2-222-2-22-2-2-2-220000002-2-20022000000000-2-2-22000000020000000000−2i−2i2i2i0000000022-2-2-2-22200002i2i−2i−2i00000000000000000000−2i2i2i−2i00000000
χ4422222222222-2-222-2-2-2-222-2-22-2-2-2-220000002-2-20022000000000-2-2-22000000020000000000−2i−2i2i2i00000000-2-22222-2-200002i2i−2i−2i000000000000000000002i−2i−2i2i00000000
χ4522222222222-2-2-2-2-2-222-2-222222-2-2-2222222-22222-2-222-2-2-2-2-2-222-2-22-2-2222-2-220000-2-222-220000000000000000000022-2-200000000000000-2200000000000000000000
χ4622222222222-2-2-2-2-2-222-2-222222-2-2-22222-2-2-222-2-2-2-222-2-2-2-222-22-2-2222-2-2-22220000-2-2222-200000000000000000000-2-222000000000000002-200000000000000000000
χ4722222222222-2-2-2-2-2-222-2-222222-2-2-2-2-2-2-222-22222-2-2-2-22222-2-222-2-22-2-2222-2-22000022-2-2-2200000000000000000000-2-222000000000000002-200000000000000000000
χ4822222222222-2-2-2-2-2-222-2-222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222-22-2-2222-2-2-2222000022-2-22-20000000000000000000022-2-200000000000000-2200000000000000000000
χ49222222222-2-22222-2-2222222-2-2-22-2-2000022-222222-2000000222-22-22222-2-2-2-2-200000000-2-22-22-2000000000000000000002-22-20000002-200002-2000000000000000000
χ50222222222-2-22222-2-2222222-2-2-22-2-2000022-222222-2000000222-22-22222-2-2-2-2-200000000-2-2-22-2200000000000000000000-22-22000000-220000-22000000000000000000
χ51222222222-2-22222-2-2222222-2-2-22-2-2000022-2-2-222-22000000-22-22-22-2-22-2-2-2-2-2222220000220000000000000000000000000000-2-20000002-200002-20000000000000000
χ52222222222-2-22222-2-2222222-2-2-22-2-2000022-2-2-222-22000000-22-22-22-2-22-2-2-2-2-22-2-2-2-2000022000000000000000000000000000022000000-220000-220000000000000000
χ53222222222-2-22222-2-2222222-2-2-22-2-20000-2-2-222-2-22-2000000-2-2-2-22-22-2-2-22222-200000000222-22-2000000000000000000002-22-2000000-220000-22000000000000000000
χ54222222222-2-22222-2-2222222-2-2-22-2-20000-2-2-222-2-22-2000000-2-2-2-22-22-2-2-22222-20000000022-22-2200000000000000000000-22-220000002-200002-2000000000000000000
χ55222222222-2-22222-2-2222222-2-2-22-2-20000-2-2-2-2-2-2-2-220000002-222-22-22-222222222220000-2-20000000000000000000000000000-2-2000000-220000-220000000000000000
χ56222222222-2-22222-2-2222222-2-2-22-2-20000-2-2-2-2-2-2-2-220000002-222-22-22-2222222-2-2-2-20000-2-20000000000000000000000000000220000002-200002-20000000000000000
χ57222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-22000000222002-2000000000-2-22-20000000200000000002i−2i−2i2i2i2i−2i−2i2i2i−2i−2i0000000000002i−2i−2i2i0000000000000000000000002-22-20000
χ58222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-22000000222002-2000000000-2-22-20000000200000000002i−2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000002i−2i−2i2i000000000000000000000000-22-220000
χ59222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-22000000222002-2000000000-2-22-2000000020000000000−2i2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000−2i2i2i−2i000000000000000000000000-22-220000
χ60222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-22000000222002-2000000000-2-22-2000000020000000000−2i2i2i−2i−2i−2i2i2i−2i−2i2i2i000000000000−2i2i2i−2i0000000000000000000000002-22-20000
χ61222222222-2-2-2-22222-2-222-2-2-222-22-2000000-2-2-2002-20000000002-2220000000-200000000002i−2i−2i2i22-2-2-2-222000000000000−2i2i2i−2i0000000000000000000000002i−2i−2i2i0000
χ62222222222-2-2-2-22222-2-222-2-2-222-22-2000000-2-2-2002-20000000002-2220000000-200000000002i−2i−2i2i-2-22222-2-2000000000000−2i2i2i−2i000000000000000000000000−2i2i2i−2i0000
χ63222222222-2-2-2-22222-2-222-2-2-222-22-2000000-2-2-2002-20000000002-2220000000-20000000000−2i2i2i−2i22-2-2-2-2220000000000002i−2i−2i2i000000000000000000000000−2i2i2i−2i0000
χ64222222222-2-2-2-22222-2-222-2-2-222-22-2000000-2-2-2002-20000000002-2220000000-20000000000−2i2i2i−2i-2-22222-2-20000000000002i−2i−2i2i0000000000000000000000002i−2i−2i2i0000
χ65222222222-2-2-2-2-2-22222-2-222-2-2-2-22200002222222-22000000-2-22-2-222-2-22-2-222-222-2-200002-20000000000000000000000000000-22000000-2200002-20000000000000000
χ66222222222-2-2-2-2-2-22222-2-222-2-2-2-22200002222222-22000000-2-22-2-222-2-22-2-222-2-2-22200002-200000000000000000000000000002-20000002-20000-220000000000000000
χ67222222222-2-2-2-2-2-22222-2-222-2-2-2-2220000222-2-2222-20000002-2-222-2-22-2-2-2-222200000000-222-22-200000000000000000000-22-220000002-20000-22000000000000000000
χ68222222222-2-2-2-2-2-22222-2-222-2-2-2-2220000222-2-2222-20000002-2-222-2-22-2-2-2-222200000000-22-22-22000000000000000000002-22-2000000-2200002-2000000000000000000
χ69222222222-2-2-2-2-2-22222-2-222-2-2-2-2220000-2-2222-2-2-2200000022-2-2-22222-222-2-2-222-2-20000-220000000000000000000000000000-220000002-20000-220000000000000000
χ70222222222-2-2-2-2-2-22222-2-222-2-2-2-2220000-2-2222-2-2-2200000022-2-2-22222-222-2-2-2-2-2220000-2200000000000000000000000000002-2000000-2200002-20000000000000000
χ71222222222-2-2-2-2-2-22222-2-222-2-2-2-2220000-2-22-2-2-2-22-2000000-22222-2-2-22222-2-22000000002-22-22-200000000000000000000-22-22000000-2200002-2000000000000000000
χ72222222222-2-2-2-2-2-22222-2-222-2-2-2-2220000-2-22-2-2-2-22-2000000-22222-2-2-22222-2-22000000002-2-22-22000000000000000000002-22-20000002-20000-22000000000000000000
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Here i is the imaginary unit (i² = −1).