Finite Group Databasebeta

← Group #13178805

Character table — Group #13178805

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222222244444444444444444444444444444444444444444444444181818181818363636363636363636363636363636111122222222222244444444444444444444444444444444444444444444444181818181818363636363636363636363636363636
order122233366666666623333366666666666666666666666666666666666666666222222444666666121212121212222266666666666626666666666666666666666666666666666666666666666222222444666666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-111-1-1111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-111
χ51111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-11111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1
χ61111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-111-1-1111111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-1-111-1-111
χ81111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-11111111111111111-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ9222222-12222-1-122-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220020000-1-10000-1-1222222-12222-1-122-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220020000-1-10000-1-1
χ10222222-12222-1-122-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2000011000011222222-12222-1-122-122-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2000011000011
χ11222222-12222-1-122-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100002200-20000-1-1000011222222-12222-1-122-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100002200-20000-1-1000011
χ12222222-12222-1-122-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000-2-20020000110000-1-1222222-12222-1-122-1-22-1-1-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000-2-20020000110000-1-1
χ1322222-1222-1-1222-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220002000-1-10000-1-10022222-1222-1-1222-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220002000-1-10000-1-100
χ1422222-1222-1-1222-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000-2000110000110022222-1222-1-1222-122-12-1-1-122-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000-20001100001100
χ1522222-1222-1-1222-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110022000-2000-1-10000110022222-1222-1-1222-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110022000-2000-1-100001100
χ1622222-1222-1-1222-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100-2-20002000110000-1-10022222-1222-1-1222-12-2-12-1-1-1-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100-2-20002000110000-1-100
χ172222-122-1-12222-1222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000200-1-10000-1-100002222-122-1-12222-1222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000200-1-10000-1-10000
χ182222-122-1-12222-1222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2001100001100002222-122-1-12222-1222-1-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-200110000110000
χ192222-122-1-12222-122-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111220000-200-1-100001100002222-122-1-12222-122-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111220000-200-1-10000110000
χ202222-122-1-12222-122-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-2-20000200110000-1-100002222-122-1-12222-122-2-1-12-1-111-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-2-20000200110000-1-10000
χ2122-2-22222-22-2-2-2-2-220222220000002-2-22-2-22-2-222-2-2-2-20000000000000000000000002-200000002-200000022-2-22222-22-2-2-2-2-220222220000002-2-22-2-22-2-222-2-2-2-20000000000000000000000002-200000002-2000000
χ2222-2-22222-22-2-2-2-2-220222220000002-2-22-2-22-2-222-2-2-2-2000000000000000000000000-220000000-2200000022-2-22222-22-2-2-2-2-220222220000002-2-22-2-22-2-222-2-2-2-2000000000000000000000000-220000000-22000000
χ2322-2-222-12-22-211-2-2-102-1-1-1-10000i3−i32-2-2-111-111-1-111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300002-20000000-110000i3−i322-2-222-12-22-211-2-2-102-1-1-1-10000i3−i32-2-2-111-111-1-111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300002-20000000-110000i3−i3
χ2422-2-222-12-22-211-2-2-102-1-1-1-10000i3−i32-2-2-111-111-1-111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000-2200000001-10000−i3i322-2-222-12-22-211-2-2-102-1-1-1-10000i3−i32-2-2-111-111-1-111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000-2200000001-10000−i3i3
χ2522-2-222-12-22-211-2-2-102-1-1-1-10000−i3i32-2-2-111-111-1-111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300002-20000000-110000−i3i322-2-222-12-22-211-2-2-102-1-1-1-10000−i3i32-2-2-111-111-1-111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300002-20000000-110000−i3i3
χ2622-2-222-12-22-211-2-2-102-1-1-1-10000−i3i32-2-2-111-111-1-111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000-2200000001-10000i3−i322-2-222-12-22-211-2-2-102-1-1-1-10000−i3i32-2-2-111-111-1-111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000-2200000001-10000i3−i3
χ272-22-2222-22-2-22-2-22-2022222000000-22-2-22-2-22-2-2-222-2-200000000000000000000002-200000002-2000000002-22-2222-22-2-22-2-22-2022222000000-22-2-22-2-22-2-2-222-2-200000000000000000000002-200000002-200000000
χ282-22-2222-22-2-22-2-22-2022222000000-22-2-22-2-22-2-2-222-2-20000000000000000000000-220000000-22000000002-22-2222-22-2-22-2-22-2022222000000-22-2-22-2-22-2-2-222-2-20000000000000000000000-220000000-2200000000
χ292-22-22-12-22112-2-2-1-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3002-20000000-110000i3−i3002-22-22-12-22112-2-2-1-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3002-20000000-110000i3−i300
χ302-22-22-12-22112-2-2-1-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300-2200000001-10000−i3i3002-22-22-12-22112-2-2-1-20-12-1-1-100i3−i3001-11-22-21-1111-1-111i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300-2200000001-10000−i3i300
χ312-22-22-12-22112-2-2-1-20-12-1-1-100−i3i3001-11-22-21-1111-1-111−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3002-20000000-110000−i3i3002-22-22-12-22112-2-2-1-20-12-1-1-100−i3i3001-11-22-21-1111-1-111−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3002-20000000-110000−i3i300
χ322-22-22-12-22112-2-2-1-20-12-1-1-100−i3i3001-11-22-21-1111-1-111−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300-2200000001-10000i3−i3002-22-22-12-22112-2-2-1-20-12-1-1-100−i3i3001-11-22-21-1111-1-111−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300-2200000001-10000i3−i300
χ332-2-22222-2-2-22-222-2-2022222000000-2-22-2-22-2-22-2-2-2-222000000000000000000002-200000002-200000000002-2-22222-2-2-22-222-2-2022222000000-2-22-2-22-2-22-2-2-2-222000000000000000000002-200000002-20000000000
χ342-2-22222-2-2-22-222-2-2022222000000-2-22-2-22-2-22-2-2-2-22200000000000000000000-220000000-2200000000002-2-22222-2-2-22-222-2-2022222000000-2-22-2-22-2-22-2-2-2-22200000000000000000000-220000000-220000000000
χ352-2-22-12211-22-22-1-2-20-1-12-1-1i3−i3000011-111-1-2-221111-1-1i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-20000000-110000i3−i300002-2-22-12211-22-22-1-2-20-1-12-1-1i3−i3000011-111-1-2-221111-1-1i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-20000000-110000i3−i30000
χ362-2-22-12211-22-22-1-2-20-1-12-1-1i3−i3000011-111-1-2-221111-1-1i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-2200000001-10000−i3i300002-2-22-12211-22-22-1-2-20-1-12-1-1i3−i3000011-111-1-2-221111-1-1i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-2200000001-10000−i3i30000
χ372-2-22-12211-22-22-1-2-20-1-12-1-1−i3i3000011-111-1-2-221111-1-1−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32-20000000-110000−i3i300002-2-22-12211-22-22-1-2-20-1-12-1-1−i3i3000011-111-1-2-221111-1-1−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32-20000000-110000−i3i30000
χ382-2-22-12211-22-22-1-2-20-1-12-1-1−i3i3000011-111-1-2-221111-1-1−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-2200000001-10000i3−i300002-2-22-12211-22-22-1-2-20-1-12-1-1−i3i3000011-111-1-2-221111-1-1−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-2200000001-10000i3−i30000
χ3944444-2-244-2-2-2-24-2-24-2-211144-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-211111111111100000000000000000000044444-2-244-2-2-2-24-2-24-2-211144-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2111111111111000000000000000000000
χ4044444-2-244-2-2-2-24-2-2-4-2-2111-4-42222-2-2-2-2-2-211111111122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000044444-2-244-2-2-2-24-2-2-4-2-2111-4-42222-2-2-2-2-2-211111111122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ414444-24-2-2-244-2-2-24-24-21-211-2-244-2-2-2-2-2111-2-2-2111111-2-2-2-21111-2-2-2-2111111110000000000000000000004444-24-2-2-244-2-2-24-24-21-211-2-244-2-2-2-2-2111-2-2-2111111-2-2-2-21111-2-2-2-211111111000000000000000000000
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χ434444-2-24-2-2-2-244-2-2441-2-211-2-2-2-244111-2-2-2-2-2-21111111111-2-2-2-2-2-2-2-2111111110000000000000000000004444-2-24-2-2-2-244-2-2441-2-211-2-2-2-244111-2-2-2-2-2-21111111111-2-2-2-2-2-2-2-211111111000000000000000000000
χ444444-2-24-2-2-2-244-2-24-41-2-2112222-4-4111-2-2-2-2-2-2111111-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000004444-2-24-2-2-2-244-2-24-41-2-2112222-4-4111-2-2-2-2-2-2111111-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000000000
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Here i is the imaginary unit (i² = −1).