Finite Group Databasebeta

← Group #13156360

Character table — Group #13156360

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121244412121212121212121212121212121212121241212121212121212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-200-20000-2-222-2-22222-2-2-2-200000000000000000000000000000000
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χ11222222-12222-122-122-12-1-12-1-12-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100022000000-1-1-1-12200-1-1-1-1000000000
χ12222222-12222-122-122-12-1-12-1-12-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2211112222-1-1-1-1-1-1-1-1-1-1000-2-20000001111-2-2001111000000000
χ13222222-12222-122-122-12-1-12-1-12-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-122-2-1-1-1-1-2-2-2-2111111111100022000000-1-1-1-1-2-2001111000000000
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χ17222222-1-2-222-122-122-12-1-12-1-12-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-2111111002−i3−i3i3i322-2-2-1-11111-1-1-1-100000000000−i3−i3i3i30000i3i3−i3−i3000000000
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χ904-4-4444-200-4-424-424-4-24-2-2-4-22-42-224200000000004i−4i−2i2i−2i2i-2-222000000000000000004i−4i00−2i2i−2i2i000000000000000000000000000000000000
χ914-4-4444-200-4-424-424-4-24-2-2-4-22-42-22420000000000−4i4i2i−2i2i−2i-2-22200000000000000000−4i4i002i−2i2i−2i000000000000000000000000000000000000
χ924-4-444-2400-42-44-4-4-224-24-224-422-22-2-400000000004i−4i4i−4i4i−4i-2-22200000000000000000−2i2i00−2i2i−2i2i000000000000000000000000000000000000
χ934-4-444-2400-42-44-4-4-224-24-224-422-22-2-40000000000−4i4i−4i4i−4i4i-2-222000000000000000002i−2i002i−2i2i−2i000000000000000000000000000000000000
χ944-4-444-2-200-4224-42-22-2-2-212-222-11-1-22000003i−3i−3i3i04i−4i−2i2i−2i2i11-1-100003i−3i−3i3i000000000−2i2i00i−ii−i3-3-3300000000000000000000000000000000
χ954-4-444-2-200-4224-42-22-2-2-212-222-11-1-22000003i−3i−3i3i0−4i4i2i−2i2i−2i11-1-100003i−3i−3i3i0000000002i−2i00−ii−ii-333-300000000000000000000000000000000
χ964-4-444-2-200-4224-42-22-2-2-212-222-11-1-2200000−3i3i3i−3i04i−4i−2i2i−2i2i11-1-10000−3i3i3i−3i000000000−2i2i00i−ii−i-333-300000000000000000000000000000000
χ974-4-444-2-200-4224-42-22-2-2-212-222-11-1-2200000−3i3i3i−3i0−4i4i2i−2i2i−2i11-1-10000−3i3i3i−3i0000000002i−2i00−ii−ii3-3-3300000000000000000000000000000000
χ984-4-44-244002-4-4-22-44-44-2-242-222-44-4-220000000000000000-2-2220000000000000000000000000000000000000000000000−2i22i20000i2−i2i2−i200000
χ994-4-44-244002-4-4-22-44-44-2-242-222-44-4-220000000000000000-2-22200000000000000000000000000000000000000000000002i2−2i20000−i2i2−i2i200000
χ1008888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-4000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ1018888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-24000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-48-84-444-4-4444222-2-2-222-2-2-22-44-4-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-884-444-4-4444222-2-2-222-2-2-224-444-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1048-88-8-48-400-4-8-4444-884-42-4-4-22444-44-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4800-44844-84-4-82-4-424-4-244-4-2400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-400-44-44444-442222-22-2-2-22-2-2000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-400-44-44444-442222-22-2-2-22-2-200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4004-84-4448-8-4-42-442-244-44-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-480044-8-44-8-4482-4-4-2-44-24-4424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400444-444-44-4222-22-2-2-22-22-2000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400444-444-44-4222-22-2-2-22-22-200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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