Finite Group Databasebeta

← Group #72219776

Character table — Group #72219776

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-111-1-11111-1-1-1-1111111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111111111111111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ71111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111
χ81111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-11111111111-1-1-1
χ911111111111111111111111111111-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1111-11-111-1-111-1-1-1-1-1-1-1-11111-11-11-11-111-1-111-1-1-1-111-1
χ1011111111111111111111111111111-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-11
χ1111111111111111111111111111111-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-111-1-11
χ1211111111111111111111111111111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-111-11-11-1-111-1-111-1-1-1-1-1-1111-11-11-11-11-1-111-1-111-1-111-1
χ1311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1111-11-111-1-111-1-111-1-111111-11-111-11-1-1-111-1-111-1-1-1-11
χ1411111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-1-111-11-1-11-1-11111-1-11111-1
χ1511111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-1-11-1-11-111-111-1-1-1-1111111-1
χ1611111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-11-11-1-111-1-11111-1-1111111-11-1-11-1111-1-111-1-1-1-1-1-11
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χ3222222-122222-122-1-1-12-1-1-12-12-12-12-122-2-2-1-1-1-12-1-1-1-2-2-2-21111111111110000-2-2-2-2-22-12-10000-2-200001111-21-1-111000002200110000-1-1-1-100000
χ3322222-122222-122-1-1-12-1-1-12-12-12-12-1-2-222-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-2-2-2-21-2100002-20000-1-111-211111000002-200-110000-1-11100000
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χ3522222-122222-122-1-1-12-1-1-12-12-12-12-1-2-2-2-2-1-1-1-12-1-1-1-2-2-2-2111111111111000022-2-22-21-2100002-20000-1-1112-111-1-100000-2200-11000011-1-100000
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χ392222-122222-12-1-122-12-1-1-1-12-12-12-1222-2-2-1-1-1-1-12-1-11111-2-2-2-21111111122220000-2-12-12002200-1-1-1-100001-2-1-111000-2-200-1-1001111000000000
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χ432222-122222-12-1-122-12-1-1-1-12-12-12-12-2-2-2-2-1-1-1-1-12-1-11111-2-2-2-21111111122-2-2000021-21-2002-200-1-1110000-1211-1-1000-2200-110011-1-1000000000
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χ1028-88-8-488-8004-84-4-88-404-44-4-80048000000-440000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-48-800444-44-420-22-2-44004-40000002-200000000002i6−2i62i6−2i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-800444-44-420-22-2-44004-40000002-20000000000−2i62i6−2i62i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-8800444-44-420-22-24-400-44000000-220000002i6−2i62i6−2i60000−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-8800444-44-420-22-24-400-44000000-22000000−2i62i6−2i62i60000i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000000000000000000000000000000
χ1078-8-888-400008-4-8-844-4044-400000000004-4000000004-4-44-222-2-222-2-222-2000000000000000000000000000000000000000000000000000000000
χ1088-8-888-400008-4-8-844-4044-40000000000-4400000000-444-42-2-222-2-222-2-22000000000000000000000000000000000000000000000000000000000
χ1098-8-88-480000-4844-8-8-4044-400000000004-400000000-222-24-4-44-222-2-222-2000000000000000000000000000000000000000000000000000000000
χ1108-8-88-480000-4844-8-8-4044-40000000000-44000000002-2-22-444-42-2-222-2-22000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-40000-4-4444420-2-2200000000004-40000006-6-222-2-222-24-4-44-222-2000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-40000-4-4444420-2-2200000000004-4000000-66-222-2-222-2-222-24-4-44000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-40000-4-4444420-2-220000000000-440000006-62-2-222-2-22-444-42-2-22000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-40000-4-4444420-2-220000000000-44000000-662-2-222-2-222-2-22-444-4000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).