Finite Group Databasebeta

← Group #13156359

Character table — Group #13156359

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121244412121212121212121212121212121212121241212121212121212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-20022-2-20000-2-22222-2-2-2-200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2200-2-222000022-2-2-2-2222200000000000000000000000000000000
χ11222222-12222-1222-1-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-10220000-1-1-1-100002200-1-1-1-1000000000
χ12222222-12222-1222-1-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-12-2-222-1-1111122-1-1-1-1-1-1-1-10-2-2000011110000-2-2001111000000000
χ13222222-12222-1222-1-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-1-222-2-211-1-1-1-1-2-2111111110220000-1-1-1-10000-2-2001111000000000
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χ17222222-1-2-222-1222-1-122-1-12-12-1-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-2111111200-2-2-1-1−i3−i3i3i3221111-1-1-1-10000000−i3−i3i3i300000000i3i3−i3−i3000000000
χ18222222-1-2-222-1222-1-122-1-12-12-1-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-2111111200-2-2-1-1i3i3−i3−i3221111-1-1-1-10000000i3i3−i3−i300000000−i3−i3i3i3000000000
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χ2622222-12-2-22-1222-122-1-12-1-12-12-1-1-1-12-211-2-21111-2-2-2-2-2-2-2-1-1-1-111-2-2111120011220000-1-11111-1-1-1-100000i3−i30000i3i3−i3−i30000000000000−i3i300
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χ422-22-222-1-22221-2-2-21-1-22-1-1-212-1-111-21-2-221-111-1-1200−3−333-111-1-221-111-1-10−2i2i003−3i−ii−i00−3−33333−3−30−2i2i0000i−ii−i00000000−i3i3i3−i3000000000
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χ894-44-4-2-24-44-2-2-4222-4421-2-2-121-2-222-1222-2-4422-2-2-20000001-1-11-112-2-1-111000000000000000000000000−23230000003−33−300000000000000000
χ904-4-4444-200-4-424-4-4-2244-2-242-422-22-4-200000000004i−4i−2i2i−2i2i-2-222000000000004i−4i00000000−2i2i−2i2i000000000000000000000000000000000000
χ914-4-4444-200-4-424-4-4-2244-2-242-422-22-4-20000000000−4i4i2i−2i2i−2i-2-22200000000000−4i4i000000002i−2i2i−2i000000000000000000000000000000000000
χ924-4-444-2400-42-44-424-4-2-24-2-2-42-42-222400000000004i−4i4i−4i4i−4i-2-22200000000000−2i2i00000000−2i2i−2i2i000000000000000000000000000000000000
χ934-4-444-2400-42-44-424-4-2-24-2-2-42-42-22240000000000−4i4i−4i4i−4i4i-2-222000000000002i−2i000000002i−2i2i−2i000000000000000000000000000000000000
χ944-4-444-2-200-4224-42-22-2-2-21-2222-11-12-2000003i−3i−3i3i04i−4i−2i2i−2i2i11-1-100003i−3i−3i3i000−2i2i00000000i−ii−i3-3-3300000000000000000000000000000000
χ954-4-444-2-200-4224-42-22-2-2-21-2222-11-12-2000003i−3i−3i3i0−4i4i2i−2i2i−2i11-1-100003i−3i−3i3i0002i−2i00000000−ii−ii-333-300000000000000000000000000000000
χ964-4-444-2-200-4224-42-22-2-2-21-2222-11-12-200000−3i3i3i−3i04i−4i−2i2i−2i2i11-1-10000−3i3i3i−3i000−2i2i00000000i−ii−i-333-300000000000000000000000000000000
χ974-4-444-2-200-4224-42-22-2-2-21-2222-11-12-200000−3i3i3i−3i0−4i4i2i−2i2i−2i11-1-10000−3i3i3i−3i0002i−2i00000000−ii−ii3-3-3300000000000000000000000000000000
χ984-4-44-244002-4-4-22-44-44-2-24-2222-44-42-20000000000000000-2-2220000000000000000000000000000000000000000000000−2i22i20000i2−i2i2−i200000
χ994-4-44-244002-4-4-22-44-44-2-24-2222-44-42-20000000000000000-2-22200000000000000000000000000000000000000000000002i2−2i20000−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
χ10288-8-8-48-4004-8-44-4844-8-42-4424-244-4-4-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-48004484-4-4-8-842-4-4-2-4-2444-42400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-40044-44-4-4444222-22-2-2-2-222-2000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-40044-44-4-4444222-22-2-2-2-222-200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-8-4-444444-44222-2-2222-2-2-2-2-4-44-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-88-4-444444-44222-2-2222-2-2-2-244-44-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4004-84-44-8-448-42-4-4-24-24-4442000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-480044-8-4448-8-42-4-424-244-44-2-4000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400444-444-44-42222-2-2-2-22-2-22000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400444-444-44-42222-2-2-2-22-2-2200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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