Finite Group Databasebeta

← Group #72227367

Character table — Group #72227367

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222224444444444444444444444444444448888888888888888888899991212121212121212121212121212121216161616161616161616161616161616181818181818181818182424242424242424242424242424242424242424242424243636484848484848484872727272
order1244222334446688881212121236666666668812121212121212121212242424242424242466888812122424242424242424242424242244161616161616161616161616161616162424242424242424242424242424242422244488882222444448484848484848484848484848484848886666121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ8111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111
χ911111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i-1111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-11-1-1-1-1-1-11-11-11-11-1iiii−i−i−i−iiiii−i−i−i−i111-11-11-11-1ii−i−i
χ1011111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i-1111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-11-1-1-1-1-1-1-11-11-11-11−i−i−i−iiiii−i−i−i−iiiii11-11-11-11-11ii−i−i
χ1111111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-11111111-1-111-1-11iiii−i−i−i−i−i−i−i−iiiii-1-11-1-111-1-11−i−iii
χ1211111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1111111-111-1-111-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-111-1-111-1−i−iii
χ1311111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iii-1111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-11-1-1-1-1-1-1-11-11-11-11iiii−i−i−i−iiiii−i−i−i−i11-11-11-11-11−i−iii
χ1411111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iii-1111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1-11-1-1-1-1-1-11-11-11-11-1−i−i−i−iiiii−i−i−i−iiiii111-11-11-11-1−i−iii
χ1511111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iii-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-111-1111111-111-1-111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111-1-111-1ii−i−i
χ1611111-1-111-11-111-1-1-1-11111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iii-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-11111111-1-111-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-11-1-111-1-11ii−i−i
χ1711-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1i−ii−i1111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-111-111-1-11-11-1-11-11ii−i−iii−i−iii−i−iii−i−i1-11-11-1-11-11i−ii−i
χ1811-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1i−ii−i1111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-11-111-111-1-1-11-111-11-1−i−iii−i−iii−i−iii−i−iii1-1-11-111-11-1i−ii−i
χ1911-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1i−ii−i1111-1-111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i1-11-1-11-1-1111-1-11-111-1ii−i−iii−i−i−i−iii−i−iii-111-1-11-111-1−ii−ii
χ2011-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1i−ii−i1111-1-111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1-11-1-111-111-11-1-11−i−iii−i−iiiii−i−iii−i−i-11-111-11-1-11−ii−ii
χ2111-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1−ii−ii1111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-11-111-111-1-1-11-111-11-1ii−i−iii−i−iii−i−iii−i−i1-1-11-111-11-1−ii−ii
χ2211-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1−ii−ii1111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-111-111-1-11-11-1-11-11−i−iii−i−iii−i−iii−i−iii1-11-11-1-11-11−ii−ii
χ2311-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1−ii−ii1111-1-111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-1-111-111-11-1-11ii−i−iii−i−i−i−iii−i−iii-11-111-11-1-11i−ii−i
χ2411-1-1-11-11111-11111-1-1-1-1-1-11-1-111-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1−ii−ii1111-1-111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-1-1111-1-11-111-1−i−iii−i−iiiii−i−iii−i−i-111-1-11-111-1i−ii−i
χ2511-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-111-1-11-1111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-11-1-11
χ2611-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-111-1-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-1-1-1-111111-1-11
χ2711-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-111-1-11-1111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1111-1-1-1-111-111-1
χ2811-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-111-1-11-1111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11-1-11111-1-1-111-1
χ2911-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-11-111-1-1111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-111-1
χ3011-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-11-111-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-111-1
χ3111-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-1-11111-1-11-1-11
χ3211-1-1-1-1111-11111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-11111-11-111-1-1111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1111-1-1-1-1111-1-11
χ3322222222222222-2-2-2-222222222222222-2-22222222222-2-2-2-2-2-2-2-222000022-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000222222-2-2-2-2000000000000000000000000-2-2000000000000
χ3422222222222222-2-2-2-222222222222222-2-22222222222-2-2-2-2-2-2-2-222000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2222200000000000000000000000022000000000000
χ3522222222-12222-1222222-1-1-12-12-12-1-1-1-1222-1-1-12-12-1-1-122-1-122-1-1-1-12222-1-12-12-1-1-1-1-1-1-1-1-1000000000000222222222-1-1-12-1-1-12-1-1-12-1-1-100000000000022002200000000-1-1-1-1-1-1-1-10000-1-100-1-10000
χ3622222222-12222-1222222-1-1-12-12-12-1-1-1-1222-1-1-12-12-1-1-122-1-122-1-1-1-12222-1-12-12-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1000000000000-2-200-2-2000000001111111100001100110000
χ3722222222-12222-1222222-1-1-12-12-12-1-1-1-1222-1-1-12-12-1-1-122-1-122-1-1-1-1-2-2-2-2-1-12-12-1-1-1-1-1-1-1-1-100000000000022222222-2111-2111-2111-2111000000000000-2-200-2-200000000-1-1-1-1-1-1-1-100001100110000
χ3822222222-12222-1222222-1-1-12-12-12-1-1-1-1222-1-1-12-12-1-1-122-1-122-1-1-1-1-2-2-2-2-1-12-12-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2111-2111-2111-211100000000000022002200000000111111110000-1-100-1-10000
χ392222222-12222-122222-1-122-1-12-12-12-1-1-122-12-1-1-12-12-1-1-1-122-1-122-1-12222-1-1-12-12-1-1-1-1-1-1-1-100002222222200000000-12-1-1-12-1-1-12-1-1-12-1-1000000000022002200-1-1-1-1-1-1-1-10000000000-1-100-1-1000000
χ402222222-12222-122222-1-122-1-12-12-12-1-1-122-12-1-1-12-12-1-1-1-122-1-122-1-12222-1-1-12-12-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-200000000-12-1-1-12-1-1-12-1-1-12-1-10000000000-2-200-2-200111111110000000000110011000000
χ412222222-12222-122222-1-122-1-12-12-12-1-1-122-12-1-1-12-12-1-1-1-122-1-122-1-1-2-2-2-2-1-1-12-12-1-1-1-1-1-1-1-1000022222222000000001-2111-2111-2111-2110000000000-2-200-2-200-1-1-1-1-1-1-1-10000000000110011000000
χ422222222-12222-122222-1-122-1-12-12-12-1-1-122-12-1-1-12-12-1-1-1-122-1-122-1-1-2-2-2-2-1-1-12-12-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2000000001-2111-2111-2111-211000000000022002200111111110000000000-1-100-1-1000000
χ4322222-2-222-22-22222222222222-2-2-2-2-2-22-2-2-2-22222-2-2-2-2222222222-20000-22-2-2-2-2-2-2-2-222222222000000000000000000000000000000002-2-22-2-22222000000000000000000000000-2-2000000000000
χ4422222-2-222-22-22222222222222-2-2-2-2-2-22-2-2-2-22222-2-2-2-2222222222-20000-22-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000-222-222-2-2-2-200000000000000000000000022000000000000
χ4522222-2-22-1-22-22-1-2-2-2-222-1-1-12-1-21-2111-122-21-1-12-1-2111-2-211-2-211-112i2i−2i−2i1-12-12-1-1-1-1-111110000000000002i2i2i2i−2i−2i−2i−2i2i−i−i−i2i−i−i−i−2iiii−2iiii0000000000002-2002-200000000−i−i−i−iiiii0000-1100-110000
χ4622222-2-22-1-22-22-1-2-2-2-222-1-1-12-1-21-2111-122-21-1-12-1-2111-2-211-2-211-112i2i−2i−2i1-12-12-1-1-1-1-11111000000000000−2i−2i−2i−2i2i2i2i2i2i−i−i−i2i−i−i−i−2iiii−2iiii000000000000-2200-2200000000iiii−i−i−i−i00001-1001-10000
χ4722222-2-22-1-22-22-1-2-2-2-222-1-1-12-1-21-2111-122-21-1-12-1-2111-2-211-2-211-11−2i−2i2i2i1-12-12-1-1-1-1-111110000000000002i2i2i2i−2i−2i−2i−2i−2iiii−2iiii2i−i−i−i2i−i−i−i000000000000-2200-2200000000−i−i−i−iiiii00001-1001-10000
χ4822222-2-22-1-22-22-1-2-2-2-222-1-1-12-1-21-2111-122-21-1-12-1-2111-2-211-2-211-11−2i−2i2i2i1-12-12-1-1-1-1-11111000000000000−2i−2i−2i−2i2i2i2i2i−2iiii−2iiii2i−i−i−i2i−i−i−i0000000000002-2002-200000000iiii−i−i−i−i0000-1100-110000
χ4922222-2-2-12-22-2-12-2-2-2-2-1-122-1-121-21-211-1221-2-1-1-121-21111-2-211-2-2-112i2i−2i−2i1-1-12-12-1-1-1-1111100002i2i2i2i−2i−2i−2i−2i00000000−i2i−i−i−i2i−i−ii−2iiii−2iii00000000002-2002-200−i−i−i−iiiii0000000000-1100-11000000
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χ1458-88i−8i000-4-4000444i2−4i242−42−4i4i−4i4i20000006-6-200002i−2i00006i−6i−2i22i2−2i22i2−2222−22220000000000003i2−3i232−32i2−i22−2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1498-8−8i8i0008-4000-844i2−4i2−4242−8i8i4i−4i-400000000400004i−4i0000004i2−4i2−2i22i2−424222−220000000000000000−2i22i222−22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1568-8−8i8i000-4-400044−4i24i242−424i−4i4i−4i2000000-66-20000−2i2i00006i−6i2i2−2i22i2−2i2−2222−22220000000000003i2−3i2−3232−i2i22−2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).