Finite Group Databasebeta

← Group #13162047

Character table — Group #13162047

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222222224444444444444444444444444444444444444444181818181818181818181818181818181818181818181818181818181818181818181818111111112222222222222222222222224444444444444444444444444444444444444444181818181818181818181818181818181818181818181818181818181818181818181818
order122222223336666666666666666666663333366666666666666666666666666666666666444444444444121212121212121212121212121212121212121212121212222222226666666666666666666666666666666666666666666666666666666666666666444444444444121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1111-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1211-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-11-1-11-1111111-1-1-1-1-111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111i−i−iii−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111i−i−iii−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1
χ1411-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111i−i−ii−iii−i1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111i−i−ii−iii−i1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ1511-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−iii−ii−i−ii1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−iii−ii−i−ii1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ1611-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−iii−i−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−iii−i−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1
χ172222222222-122-12222-1222-1-1222-1-1-1222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-100000000000000002222222222-122-12222-1222-1-1222-1-1-1222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-10000000000000000
χ182222222222-122-12222-1222-1-1222-1-1-1222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000001111111100000000000000002222222222-122-12222-1222-1-1222-1-1-1222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000111111110000000000000000
χ19222222222-122-1222-1-1222-1222-1-1222-12-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222000000000000-1-1-1-1-1-1-1-100000000222222222-122-1222-1-1222-1222-1-1222-12-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222000000000000-1-1-1-1-1-1-1-100000000
χ20222222222-122-1222-1-1222-1222-1-1222-12-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000000001111111100000000222222222-122-1222-1-1222-1222-1-1222-12-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000000001111111100000000
χ2122222222-122-122-1-1222-1-1222-1222222-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-122222222-122-122-1-1222-1-1222-1222222-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-1
χ2222222222-122-122-1-1222-1-1222-1222222-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-200000000000000001111111122222222-122-122-1-1222-1-1222-1222222-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000000000000011111111
χ23222-2-22-2-222-122-12222-1-2-2-211-2-2-211-1-2-22-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-21111111122-2-200000000-1-1-1-111110000000000000000222-2-22-2-222-122-12222-1-2-2-211-2-2-211-1-2-22-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-21111111122-2-200000000-1-1-1-111110000000000000000
χ24222-2-22-2-222-122-12222-1-2-2-211-2-2-211-1-2-22-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-222000000001111-1-1-1-10000000000000000222-2-22-2-222-122-12222-1-2-2-211-2-2-211-1-2-22-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-222000000001111-1-1-1-10000000000000000
χ25222-2-22-2-22-122-1222-1-12-2-21-2-2-211-2-221-2-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111100002i2i−2i−2i000000000000−i−i−i−iiiii00000000222-2-22-2-22-122-1222-1-12-2-21-2-2-211-2-221-2-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111100002i2i−2i−2i000000000000−i−i−i−iiiii00000000
χ26222-2-22-2-22-122-1222-1-12-2-21-2-2-211-2-221-2-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-21111110000−2i−2i2i2i000000000000iiii−i−i−i−i00000000222-2-22-2-22-122-1222-1-12-2-21-2-2-211-2-221-2-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-21111110000−2i−2i2i2i000000000000iiii−i−i−i−i00000000
χ27222-2-22-2-2-122-122-1-122211-2-2-21-2-2-2-22-21-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000002i2i−2i−2i0000000000000000−i−i−i−iiiii222-2-22-2-2-122-122-1-122211-2-2-21-2-2-2-22-21-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000002i2i−2i−2i0000000000000000−i−i−i−iiiii
χ28222-2-22-2-2-122-122-1-122211-2-2-21-2-2-2-22-21-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-2111100000000−2i−2i2i2i0000000000000000iiii−i−i−i−i222-2-22-2-2-122-122-1-122211-2-2-21-2-2-2-22-21-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-2111100000000−2i−2i2i2i0000000000000000iiii−i−i−i−i
χ2922-22-2-22-222-122-1-2-2-2-21222-1-1-2-2-21112-22-1-1-1-12-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111112i−2i2i−2i00000000−i−iii−i−iii000000000000000022-22-2-22-222-122-1-2-2-2-21222-1-1-2-2-21112-22-1-1-1-12-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111112i−2i2i−2i00000000−i−iii−i−iii0000000000000000
χ3022-22-2-22-222-122-1-2-2-2-21222-1-1-2-2-21112-22-1-1-1-12-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-211111111−2i2i−2i2i00000000ii−i−iii−i−i000000000000000022-22-2-22-222-122-1-2-2-2-21222-1-1-2-2-21112-22-1-1-1-12-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-211111111−2i2i−2i2i00000000ii−i−iii−i−i0000000000000000
χ3122-22-2-22-22-122-12-2-211-222-122-211-2-2-2-1-2-12-1-1-1-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100002-22-2000000000000-1-111-1-1110000000022-22-2-22-22-122-12-2-211-222-122-211-2-2-2-1-2-12-1-1-1-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100002-22-2000000000000-1-111-1-11100000000
χ3222-22-2-22-22-122-12-2-211-222-122-211-2-2-2-1-2-12-1-1-1-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000-22-2200000000000011-1-111-1-10000000022-22-2-22-22-122-12-2-211-222-122-211-2-2-2-1-2-12-1-1-1-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000-22-2200000000000011-1-111-1-100000000
χ3322-22-2-22-2-122-12211-2-2-2-1-12221-2-2-2-2-221-1-12-1-1-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000002i−2i2i−2i0000000000000000−i−iii−i−iii22-22-2-22-2-122-12211-2-2-2-1-12221-2-2-2-2-221-1-12-1-1-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000002i−2i2i−2i0000000000000000−i−iii−i−iii
χ3422-22-2-22-2-122-12211-2-2-2-1-12221-2-2-2-2-221-1-12-1-1-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-2111100000000−2i2i−2i2i0000000000000000ii−i−iii−i−i22-22-2-22-2-122-12211-2-2-2-1-12221-2-2-2-2-221-1-12-1-1-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-2111100000000−2i2i−2i2i0000000000000000ii−i−iii−i−i
χ3522-2-22-2-2222-122-1-2-2-2-21-2-2-211222-1-11-222-1-1-1-12-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-12i−2i−2i2i00000000−i−iiiii−i−i000000000000000022-2-22-2-2222-122-1-2-2-2-21-2-2-211222-1-11-222-1-1-1-12-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-12i−2i−2i2i00000000−i−iiiii−i−i0000000000000000
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Here i is the imaginary unit (i² = −1).