Finite Group Databasebeta

← Group #13156527

Character table — Group #13156527

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-1
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χ13222222-12222-1-122-1222-1-12-1-12-1-1-12-1222-1-1-1-1-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111110000200022-1-1000000-1-1-1-100000000-201100
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χ924-4-444-2-200422-2-4-422-2-2-21-22-22-1-1122000003i−3i−3i3i0−4i4i001-11-100003i−3i−3i3i2i−2i002i−2i00−i−iii3-3-33000000000000000000000000000000000000
χ934-4-444-2-200422-2-4-422-2-2-21-22-22-1-112200000−3i3i3i−3i04i−4i001-11-10000−3i3i3i−3i−2i2i00−2i2i00ii−i−i3-3-33000000000000000000000000000000000000
χ944-4-444-2-200422-2-4-422-2-2-21-22-22-1-112200000−3i3i3i−3i0−4i4i001-11-10000−3i3i3i−3i2i−2i002i−2i00−i−iii-333-3000000000000000000000000000000000000
χ954-4-44-24400-2-4-4422-4-44-2-24-22-22-4-442200000000000000-22-2200000000000000000000000022−22−2222000000000000000000−222−20000000000
χ964-4-44-24400-2-4-4422-4-44-2-24-22-22-4-442200000000000000-22-22000000000000000000000000−222222−220000000000000000002−2−220000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-40000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-240000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-48-84-4444-4-444222-2-2-222-2-2-22-444-4422-2-2-40000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-884-4444-4-444222-2-2-222-2-2-224-4-44-4-2-22240000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000
χ1018-88-8-48-4004-8-44-4448-8-42-442-244-44-4-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4800448-8-44-8-442-4-4-2-44-24-44240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-40044-44-444-44222-22-2-2-22-22-2000006i−6i6i−6i00000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-40044-44-444-44222-22-2-2-22-22-200000−6i6i−6i6i00000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ1058-8-88-48-400-4-84-4444-88-42-4-4-22444-44-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4800-44-8844-84-42-4-424-4-244-4-24000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-400-444-44444-42222-22-2-2-22-2-2000006i−6i−6i6i00000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-400-444-44444-42222-22-2-2-22-2-200000−6i6i6i−6i00000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000

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