Finite Group Databasebeta

← Group #13158464

Character table — Group #13158464

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order122233446666663666121212122666666661212246688121224242424441212121288236663312126666663666121212126666666661212612662424121224242424121212121212242463666331212666666366612121212666666666121261266242412122424242412121212121224246
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-11-111-1-1-1-1-11111111111111111111111111111111111111-1-111-1-1-1-11-111-1-1-1-1-11111111111111111111111111111111111111-1-111-1-1-1-11-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ1422222-1222-12-12-1-1-1-1-12-1-12-2-2-2111111-1-1-2-2110011000020-1-10000022222-1222-12-12-1-1-1-1-12-1-12-2-2-2111111-1-1-2-2110011000020-1-10000022222-1222-12-12-1-1-1-1-12-1-12-2-2-2111111-1-1-2-2110011000020-1-100000
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χ202222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-200110002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-200110002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-20011000
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χ6522222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-100-1-1000020-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32001−i321−i320000−1+i301−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32001+i321+i320000−1−i301+i321+i3200000
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χ6922222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i3−i3−i3i3i3112-2-1-10011000000−i3i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i31−i31−i321−i3200−1+i32−1+i320000003+i32−3−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i31+i31+i321+i3200−1−i32−1−i32000000−3+i323−i3200000
χ7022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i3−i3−i3i3i311-221100-1-1000000i3−i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32001−i321−i32000000−3−i323+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32001+i321+i320000003−i32−3+i3200000
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χ118222222-2-22222222222-2-2-2-2000000000-2-2-22-2-200220000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000001+i31+i31+i3−1−i31+i31+i300−1−i3−1−i30000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000001−i31−i31−i3−1+i31−i31−i300−1+i3−1+i30000000000000
χ11922222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-100-1-1000020-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32001+i321+i320000−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32001−i321−i320000−1+i301−i321−i3200000
χ12022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i3200−1−i32−1−i3200001+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i3200−1+i32−1+i3200001−i30−1+i32−1+i3200000
χ12122222-1222-12-12-1-1-1-1-12-1-12-2-2-2111111-1-122-1-100-1-10000-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i321+i32001+i321+i3200001+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i321−i32001−i321−i3200001−i30−1+i32−1+i3200000
χ12222222-1222-12-12-1-1-1-1-12-1-12-2-2-2111111-1-1-2-2110011000020-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i3−1−i32−1−i3200−1−i32−1−i320000−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i3−1+i32−1+i3200−1+i32−1+i320000−1+i301−i321−i3200000
χ12322222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i3−i3−i3i3i3112-2-1-10011000000−i3i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i31+i31+i321+i3200−1−i32−1−i32000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i31−i31−i321−i3200−1+i32−1+i320000003+i32−3−i3200000
χ12422222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i3−i3−i3i3i311-221100-1-1000000i3−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32001+i321+i320000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32001−i321−i32000000−3−i323+i3200000
χ12522222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i3i3i3−i3−i3112-2-1-10011000000i3−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30003−i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i32−1−i31+i31+i321+i3200−1−i32−1−i320000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000−3−i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i32−1+i31−i31−i321−i3200−1+i32−1+i32000000−3−i323+i3200000
χ12622222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i3i3i3−i3−i311-221100-1-1000000−i3i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30003−i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32001+i321+i32000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000−3−i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32001−i321−i320000003+i32−3−i3200000
χ1272222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100002200-1-1-1-10200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1−i3−1−i3001+i321+i321+i321+i320−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1+i3−1+i3001−i321−i321−i321−i320−1+i3001−i321−i32000
χ1282222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i3201+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i3201−i300−1+i32−1+i32000
χ1292222-1222-12-12-12-1-1-1-1-122-1-211-2-21111-1-100002200-1-1-1-10-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i3−1−i3001+i321+i321+i321+i3201+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i3−1+i3001−i321−i321−i321−i3201−i300−1+i32−1+i32000
χ1302222-1222-12-12-12-1-1-1-1-122-1-211-2-21111-1-10000-2-20011110200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i320−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i320−1+i3001−i321−i32000
χ13122-2-2222-2-2-222-2-22-2-2222-2-20000000002-200002i−2i002i2i−2i−2i000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000−1−i31+i300002ζ22−2ζ22002ζ222ζ22−2ζ22−2ζ22000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000−1+i31−i300002ζ14−2ζ14002ζ142ζ14−2ζ14−2ζ14000000000
χ13222-2-2222-2-2-222-2-22-2-2222-2-20000000002-20000−2i2i00−2i−2i2i2i000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000−1−i31+i30000−2ζ222ζ2200−2ζ22−2ζ222ζ222ζ22000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000−1+i31−i30000−2ζ142ζ1400−2ζ14−2ζ142ζ142ζ14000000000
χ13322-2-222-22-2-222-2-22-2-22-2-222000000000-220000000000000000002-20−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000001+i3−1−i3000000000000000000−1−i31+i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000001−i3−1+i3000000000000000000−1+i31−i30
χ13422-2-222-22-2-222-2-22-2-22-2-222000000000-22000000000000000000-220−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000001+i3−1−i30000000000000000001+i3−1−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000001−i3−1+i30000000000000000001−i3−1+i30
χ13522-2-2-122-21-2-121-2-111-1-12-210−i3i300−i3i3−i3i3-1100002i−2i00−i−iii00003−3000−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i32−1−i321+i321+i32−1−i31+i3−1−i320−3+i323−i3200−3+i323−i32−3+i323−i321+i32−1−i3200002ζ22−2ζ2200−ζ22−ζ22ζ22ζ2200002ζ14+ζ22−2ζ14−ζ22000−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i32−1+i321−i321−i32−1+i31−i3−1+i3203+i32−3−i32003+i32−3−i323+i32−3−i321−i32−1+i3200002ζ14−2ζ1400−ζ14−ζ14ζ14ζ140000−ζ14−2ζ22ζ14+2ζ22000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.