Finite Group Databasebeta

← Group #13172936

Character table — Group #13172936

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222224444444444444666612121212121212121212181836222244444444888888888888812121212242424242424242424243636723333666666661212121212121212121212121218181818363636363636363636365454108
order122233666666236666666666622224466661212121222436663366666663666666666666666121266661212121266122222666666662666666666666222244666612121212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-111-1-111-1-1-1-1-1111111111111111111111111111-1-11-111-1-111-1-1-1-1-1111111111111111111111111111-1-11-111-1-111-1-1-1-1-1
χ31111111111111111111111111-1-111-11-1-111-1-111-1-1-11111111111111111111111111-1-111-11-1-111-1-111-1-1-11111111111111111111111111-1-111-11-1-111-1-111-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111-11-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1
χ6111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11
χ7111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11
χ8111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1
χ922222-122-1-12-12-122-1-1-1-1-1-1-1-1-100220200-1-100-1-100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100220200-1-100-1-100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100220200-1-100-1-1000
χ1022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-20-20011001100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-20-20011001100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-20-200110011000
χ1122222-122-1-12-1-2-1-2-211-1-1-1111100220-200-1-1001100022222-122-1-12-1-2-1-2-211-1-1-1111100220-200-1-1001100022222-122-1-12-1-2-1-2-211-1-1-1111100220-200-1-10011000
χ1222222-122-1-12-1-2-1-2-211-1-1-1111100-2-202001100-1-100022222-122-1-12-1-2-1-2-211-1-1-1111100-2-202001100-1-100022222-122-1-12-1-2-1-2-211-1-1-1111100-2-202001100-1-1000
χ132222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220020-1-100-1-1000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220020-1-100-1-1000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220020-1-100-1-100000
χ142222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-200-20110011000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-200-20110011000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-200-2011001100000
χ152222-12-1-122-12-2-111-2-2-1-1-111112200-20-1-10011000002222-12-1-122-12-2-111-2-2-1-1-111112200-20-1-10011000002222-12-1-122-12-2-111-2-2-1-1-111112200-20-1-1001100000
χ162222-12-1-122-12-2-111-2-2-1-1-11111-2-200201100-1-1000002222-12-1-122-12-2-111-2-2-1-1-11111-2-200201100-1-1000002222-12-1-122-12-2-111-2-2-1-1-11111-2-200201100-1-100000
χ1722-2-2222-2-2-2-220200002-2-20000002-200002-2000000022-2-2222-2-2-2-220200002-2-20000002-200002-2000000022-2-2222-2-2-2-220200002-2-20000002-200002-20000000
χ1822-2-2222-2-2-2-220200002-2-2000000-220000-22000000022-2-2222-2-2-2-220200002-2-2000000-220000-22000000022-2-2222-2-2-2-220200002-2-2000000-220000-220000000
χ1922-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i3002-20000-1100i3−i300022-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i3002-20000-1100i3−i300022-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i3002-20000-1100i3−i3000
χ2022-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i300-2200001-100−i3i300022-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i300-2200001-100−i3i300022-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i300-2200001-100−i3i3000
χ2122-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i3002-20000-1100−i3i300022-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i3002-20000-1100−i3i300022-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i3002-20000-1100−i3i3000
χ2222-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i300-2200001-100i3−i300022-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i300-2200001-100i3−i300022-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i300-2200001-100i3−i3000
χ232-22-222-2-22-22-2020000-22-200002-200002-20000000002-22-222-2-22-22-2020000-22-200002-200002-20000000002-22-222-2-22-22-2020000-22-200002-200002-2000000000
χ242-22-222-2-22-22-2020000-22-20000-220000-220000000002-22-222-2-22-22-2020000-22-20000-220000-220000000002-22-222-2-22-22-2020000-22-20000-220000-22000000000
χ252-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i32-20000-1100i3−i3000002-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i32-20000-1100i3−i3000002-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i32-20000-1100i3−i300000
χ262-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i3-2200001-100−i3i3000002-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i3-2200001-100−i3i3000002-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i3-2200001-100−i3i300000
χ272-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i32-20000-1100−i3i3000002-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i32-20000-1100−i3i3000002-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i32-20000-1100−i3i300000
χ282-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i3-2200001-100i3−i3000002-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i3-2200001-100i3−i3000002-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i3-2200001-100i3−i300000
χ292-2-2222-22-22-2-2020000-2-220000000000000000002-202-2-2222-22-22-2-2020000-2-220000000000000000002-202-2-2222-22-22-2-2020000-2-220000000000000000002-20
χ302-2-2222-22-22-2-2020000-2-22000000000000000000-2202-2-2222-22-22-2-2020000-2-22000000000000000000-2202-2-2222-22-22-2-2020000-2-22000000000000000000-220
χ314444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-2111111100000000000000000
χ324444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-100000000000000000
χ3344-4-4-24-22-4-4240-20000-22200000000000000000000044-4-4-24-22-4-4240-20000-22200000000000000000000044-4-4-24-22-4-4240-20000-222000000000000000000000
χ3444-4-4-2-2-22222-201002i3−2i31-1-1−i3−i3i3i30000000000000000044-4-4-2-2-22222-201002i3−2i31-1-1−i3−i3i3i30000000000000000044-4-4-2-2-22222-201002i3−2i31-1-1−i3−i3i3i300000000000000000
χ3544-4-4-2-2-22222-20100−2i32i31-1-1i3i3−i3−i30000000000000000044-4-4-2-2-22222-20100−2i32i31-1-1i3i3−i3−i30000000000000000044-4-4-2-2-22222-20100−2i32i31-1-1i3i3−i3−i300000000000000000
χ364-44-44-2-4-4-22420-200002-220000000000000000000004-44-44-2-4-4-22420-200002-220000000000000000000004-44-44-2-4-4-22420-200002-22000000000000000000000
χ374-44-4-2-222-22-22012i3−2i300-11-1−i3i3−i3i3000000000000000004-44-4-2-222-22-22012i3−2i300-11-1−i3i3−i3i3000000000000000004-44-4-2-222-22-22012i3−2i300-11-1−i3i3−i3i300000000000000000
χ384-44-4-2-222-22-2201−2i32i300-11-1i3−i3i3−i3000000000000000004-44-4-2-222-22-2201−2i32i300-11-1i3−i3i3−i3000000000000000004-44-4-2-222-22-2201−2i32i300-11-1i3−i3i3−i300000000000000000
χ394-4-444-2-442-2-420-2000022-20000000000000000000004-4-444-2-442-2-420-2000022-20000000000000000000004-4-444-2-442-2-420-2000022-2000000000000000000000
χ404-4-44-242-2-442-40-2000022-20000000000000000000004-4-44-242-2-442-40-2000022-20000000000000000000004-4-44-242-2-442-40-2000022-2000000000000000000000
χ414-4-44-2-22-22-222010000-1-113-3-33000000000000000004-4-44-2-22-22-222010000-1-113-3-33000000000000000004-4-44-2-22-22-222010000-1-113-3-3300000000000000000
χ424-4-44-2-22-22-222010000-1-11-333-3000000000000000004-4-44-2-22-22-222010000-1-11-333-3000000000000000004-4-44-2-22-22-222010000-1-11-333-300000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111-1-11-111-1-111-1-1-1-1-1111111111111111111111111111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111111
χ451111111111111111111111111-1-111-11-1-111-1-111-1-1-11111111111111111111111111-1-111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1111
χ461111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1
χ47111111111111-11-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-1-1-111-1-1-1-11111-1-11
χ48111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-1111-1-1-11111-1-111-1
χ49111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1111111-1-1-1111-1-1-1-11111-1
χ50111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111111111-1-11111-1-1-1-1-1-11
χ5122222-122-1-12-12-122-1-1-1-1-1-1-1-1-100220200-1-100-1-100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100220200-1-100-1-1000-2-2-2-2-21-2-211-21-21-2-211111111100-2-20-200110011000
χ5222222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-20-20011001100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-20-200110011000-2-2-2-2-21-2-211-21-21-2-211111111100220200-1-100-1-1000
χ5322222-122-1-12-1-2-1-2-211-1-1-1111100220-200-1-1001100022222-122-1-12-1-2-1-2-211-1-1-1111100220-200-1-10011000-2-2-2-2-21-2-211-212122-1-1111-1-1-1-100-2-202001100-1-1000
χ5422222-122-1-12-1-2-1-2-211-1-1-1111100-2-202001100-1-100022222-122-1-12-1-2-1-2-211-1-1-1111100-2-202001100-1-1000-2-2-2-2-21-2-211-212122-1-1111-1-1-1-100220-200-1-10011000
χ552222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220020-1-100-1-1000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220020-1-100-1-100000-2-2-2-21-211-2-21-2-2111-2-21111111-2-200-2011001100000
χ562222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-200-20110011000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-200-2011001100000-2-2-2-21-211-2-21-2-2111-2-21111111220020-1-100-1-100000
χ572222-12-1-122-12-2-111-2-2-1-1-111112200-20-1-10011000002222-12-1-122-12-2-111-2-2-1-1-111112200-20-1-1001100000-2-2-2-21-211-2-21-221-1-122111-1-1-1-1-2-200201100-1-100000
χ582222-12-1-122-12-2-111-2-2-1-1-11111-2-200201100-1-1000002222-12-1-122-12-2-111-2-2-1-1-11111-2-200201100-1-100000-2-2-2-21-211-2-21-221-1-122111-1-1-1-12200-20-1-1001100000
χ5922-2-2222-2-2-2-220200002-2-20000002-200002-2000000022-2-2222-2-2-2-220200002-2-20000002-200002-20000000-2-222-2-2-22222-20-20000-222000000-220000-220000000
χ6022-2-2222-2-2-2-220200002-2-2000000-220000-22000000022-2-2222-2-2-2-220200002-2-2000000-220000-220000000-2-222-2-2-22222-20-20000-2220000002-200002-20000000
χ6122-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i3002-20000-1100i3−i300022-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i3002-20000-1100i3−i3000-2-222-21-22-1-1210100−i3i31-1-1−i3−i3i3i300-2200001-100−i3i3000
χ6222-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i300-2200001-100−i3i300022-2-22-12-211-2-10-100i3−i3-111i3i3−i3−i300-2200001-100−i3i3000-2-222-21-22-1-1210100−i3i31-1-1−i3−i3i3i3002-20000-1100i3−i3000
χ6322-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i3002-20000-1100−i3i300022-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i3002-20000-1100−i3i3000-2-222-21-22-1-1210100i3−i31-1-1i3i3−i3−i300-2200001-100i3−i3000
χ6422-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i300-2200001-100i3−i300022-2-22-12-211-2-10-100−i3i3-111−i3−i3i3i300-2200001-100i3−i3000-2-222-21-22-1-1210100i3−i31-1-1i3i3−i3−i3002-20000-1100−i3i3000
χ652-22-222-2-22-22-2020000-22-200002-200002-20000000002-22-222-2-22-22-2020000-22-200002-200002-2000000000-22-22-2-222-22-220-200002-220000-220000-22000000000
χ662-22-222-2-22-22-2020000-22-20000-220000-220000000002-22-222-2-22-22-2020000-22-20000-220000-22000000000-22-22-2-222-22-220-200002-2200002-200002-2000000000
χ672-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i32-20000-1100i3−i3000002-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i32-20000-1100i3−i300000-22-221-2-1-1-221201−i3i300-11-1−i3i3−i3i3-2200001-100−i3i300000
χ682-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i3-2200001-100−i3i3000002-22-2-12112-2-1-20-1i3−i3001-11i3−i3i3−i3-2200001-100−i3i300000-22-221-2-1-1-221201−i3i300-11-1−i3i3−i3i32-20000-1100i3−i300000
χ692-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i32-20000-1100−i3i3000002-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i32-20000-1100−i3i300000-22-221-2-1-1-221201i3−i300-11-1i3−i3i3−i3-2200001-100i3−i300000
χ702-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i3-2200001-100i3−i3000002-22-2-12112-2-1-20-1−i3i3001-11−i3i3−i3i3-2200001-100i3−i300000-22-221-2-1-1-221201i3−i300-11-1i3−i3i3−i32-20000-1100−i3i300000
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χ722-2-2222-22-22-2-2020000-2-22000000000000000000-2202-2-2222-22-22-2-2020000-2-22000000000000000000-220-222-2-2-22-22-2220-2000022-20000000000000000002-20
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Here i is the imaginary unit (i² = −1).