Finite Group Databasebeta

← Group #72254080

Character table — Group #72254080

Order 8748.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1222444446661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122727545454545454818181108108108108108108108108108108162162162243243243243243243486486486486486486486486486
order133333333399333399999999999999999999999999999999999999999999999999999333399992229999999999666666666666181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-111-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111-11-11111111111-11-1-1-111-1-1-1-1-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-11-1-1-1-111-1-1-1-11-1-111
χ5111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ6111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i32-1-11−i321+i321−i321+i32
χ7111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i32-11−i321+i321-1−1+i32−1−i321−i321+i32
χ8111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i32-11−i321+i32-111−i321+i32−1+i32−1−i32
χ9111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ10111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i32-1-11+i321−i321+i321−i32
χ11111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i32-11+i321−i321-1−1−i32−1+i321+i321−i32
χ12111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i32-11+i321−i32-111+i321−i32−1−i32−1+i32
χ1322222222222-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-12-10022-12-1-1-1-1-1-1-10020000220000-100-1-1
χ1422222222222-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-12-100-22-12-1-1-1-1-1-1-100-20000-2-2000010011
χ1522222222222-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i31−i32−1−i31+i32002−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i320020000−1+i3−1−i30000-1001−i321+i32
χ1622222222222-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i31−i32−1−i31+i3200-2−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i3200-200001−i31+i30000100−1+i32−1−i32
χ1722222222222-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i31+i32−1+i31−i32002−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i320020000−1−i3−1+i30000-1001+i321−i32
χ1822222222222-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i31+i32−1+i31−i3200-2−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i3200-200001+i31−i30000100−1−i32−1+i32
χ192222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12-12020-12-12-1-1-1-1-1-1020002200000-10-1-100
χ202222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12-120-20-12-12-1-1-1-1-1-10-2000-2-200000101100
χ212222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i32−1+i31+i32−1−i30201−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i3202000−1+i3−1−i300000-101−i321+i3200
χ222222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i32−1+i31+i32−1−i30-201−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i320-20001−i31+i30000010−1+i32−1−i3200
χ232222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i32−1−i31−i32−1+i30201+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i3202000−1−i3−1+i300000-101+i321−i3200
χ242222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i32−1−i31−i32−1+i30-201+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i320-20001+i31−i30000010−1−i32−1+i3200
χ25222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222200-1-1-1-12-1-12-1-1200220000-1-1-1000000
χ26222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-200-1-1-1-12-1-12-1-1-200-2-20000111000000
χ27222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i321+i32−1+i3−1+i3−1−i3−1−i32001−i321−i321+i321+i32−1+i31−i321−i32−1−i31+i321+i32200−1+i3−1−i30000-11−i321+i32000000
χ28222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i321+i32−1+i3−1+i3−1−i3−1−i3-2001−i321−i321+i321+i32−1+i31−i321−i32−1−i31+i321+i32-2001−i31+i300001−1+i32−1−i32000000
χ29222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i321−i32−1−i3−1−i3−1+i3−1+i32001+i321+i321−i321−i32−1−i31+i321+i32−1+i31−i321−i32200−1−i3−1+i30000-11+i321−i32000000
χ30222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i321−i32−1−i3−1−i3−1+i3−1+i3-2001+i321+i321−i321−i32−1−i31+i321+i32−1+i31−i321−i32-2001+i31−i300001−1−i32−1+i32000000
χ314444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111114444-2-2-2-2000-2-2-2-2111111000000000000000000
χ324444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111−2+2i3−2−2i3−2+2i3−2−2i31−i31−i31+i31+i30001−i31−i31+i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000
χ334444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111−2−2i3−2+2i3−2−2i3−2+2i31+i31+i31−i31−i30001+i31+i31−i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000
χ34444444444-24-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2-211111111111111111144-2-24-24-2000-21-21-211-211000000000000000000
χ35444444444-24-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2-2111111111111111111−2+2i3−2−2i31−i31+i3−2+2i31−i3−2−2i31+i30001−i3−1+i321+i3−1−i321−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000000
χ36444444444-24-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2-2111111111111111111−2−2i3−2+2i31+i31−i3−2−2i31+i3−2+2i31−i30001+i3−1−i321−i3−1+i321+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000
χ37444444444-2-24-2-2-2-2-2-2-2-21111111114444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111144-2-2-24-240001-21-2-211-211000000000000000000
χ38444444444-2-24-2-2-2-2-2-2-2-21111111114444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111−2+2i3−2−2i31−i31+i31−i3−2+2i31+i3−2−2i3000−1+i321−i3−1−i321+i31−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000000
χ39444444444-2-24-2-2-2-2-2-2-2-21111111114444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111−2−2i3−2+2i31+i31−i31+i3−2−2i31−i3−2+2i3000−1−i321+i3−1+i321−i31+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000
χ40444444444-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2111111111111111111−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i3244-2-2-2-2-2-200011111−1+3i32−1−3i321−1+3i32−1−3i32000000000000000000
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χ42444444444-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2111111111111111111−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−2−2i3−2+2i31+i31−i31+i31+i31−i31−i3000−1−i32−1−i32−1+i32−1+i32−1−i325−i32−2+i3−1+i32−2−i35+i32000000000000000000
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χ45444444444-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2111111111111111111−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−1+3i32−2−2i3−2+2i31+i31−i31+i31+i31−i31−i3000−1−i32−1−i32−1+i32−1+i32−1−i32−2+i35−i32−1+i325+i32−2−i3000000000000000000
χ46666-36-3-3-3-36066-3-3-300000000000006-3-3-3666-3-3-3-3-3-30000000000000000000000000000000000006000000000000-30000000000000000
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χ10212-6-6-633−3−9i32−3+9i323000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ800003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ7+3ζ83ζ5+3ζ73ζ2+3ζ43ζ4+3ζ83ζ+3ζ5−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000000000000000000000000000000000000000
χ10312-6-6-633−3−9i32−3+9i323000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ400003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ83ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ2+3ζ43ζ4+3ζ83ζ+3ζ53ζ+3ζ23ζ7+3ζ8−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000000000000000000000000000000000000000
χ10412-6-6-633−3−9i32−3+9i323000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ400003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ43ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ7+3ζ83ζ5+3ζ73ζ2+3ζ43ζ4+3ζ83ζ+3ζ53−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000000000000000000
χ10512-6-6-633−3−9i32−3+9i323000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ400003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ53ζ+3ζ23ζ7+3ζ83ζ5+3ζ73ζ2+3ζ4−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i323−3+3i32000000000000000000000000000000000000000
χ10612-6-6-633−3−9i32−3+9i323000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ500003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ83ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ7+3ζ83ζ5+3ζ73ζ2+3ζ43ζ4+3ζ83ζ+3ζ5−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i323−3+3i32000000000000000000000000000000000000000
χ10712-6-6-633−3−9i32−3+9i323000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ500003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ43ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ53ζ+3ζ23ζ7+3ζ83ζ5+3ζ73ζ2+3ζ4−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000000000000000000000000000000000000000
χ10812-6-6-633−3−9i32−3+9i323000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ500003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ2+3ζ43ζ4+3ζ83ζ+3ζ53ζ+3ζ23ζ7+3ζ83−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.