Finite Group Databasebeta

← Group #13156283

Character table — Group #13156283

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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-200-2-2-2-20000222222-2-2-2-200000000000000000000000000000000
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χ12222222-122222-122-1-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-12-2-222-1-1111122-1-1-1-1-1-1-1-10-2-2000011110000-2-2001111000000000
χ13222222-122222-122-1-122-1-12-12-1-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-1-222-2-211-1-1-1-1-2-2111111110220000-1-1-1-10000-2-2001111000000000
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χ904-4-4444-200-4-4-4-24-42244-2-2-4-2-422-224200000000004-4-22-22-2-22200000000000000000004-4-22-22000000000000000000000000000000000000
χ914-4-4444-200-4-4-4-24-42244-2-2-4-2-422-22420000000000-442-22-2-2-2220000000000000000000-442-22-2000000000000000000000000000000000000
χ924-4-444-2400-42-44-22-4-44-24-22-22-424-4-220000000000000000-2-2220000000000000000000000000000000000000000000000−2i22i20000i2−i2i2−i200000
χ934-4-444-2400-42-44-22-4-44-24-22-22-424-4-220000000000000000-2-22200000000000000000000000000000000000000000000002i2−2i20000−i2i2−i2i200000
χ944-4-44-244002-4244-4-4-4-2-2-242422-4-22-2-400000000004-44-44-4-2-2220000000000000000000-22-22-22000000000000000000000000000000000000
χ954-4-44-244002-4244-4-4-4-2-2-242422-4-22-2-40000000000-44-44-44-2-22200000000000000000002-22-22-2000000000000000000000000000000000000
χ964-4-44-24-2002-42-24-422-2-21-22-22-121-1-22000003i−3i−3i3i04-4-22-2211-1-100003i−3i−3i3i00000000000-221-11-13i−3i−3i3i00000000000000000000000000000000
χ974-4-44-24-2002-42-24-422-2-21-22-22-121-1-22000003i−3i−3i3i0-442-22-211-1-100003i−3i−3i3i000000000002-2-11-11−3i3i3i−3i00000000000000000000000000000000
χ984-4-44-24-2002-42-24-422-2-21-22-22-121-1-2200000−3i3i3i−3i04-4-22-2211-1-10000−3i3i3i−3i00000000000-221-11-1−3i3i3i−3i00000000000000000000000000000000
χ994-4-44-24-2002-42-24-422-2-21-22-22-121-1-2200000−3i3i3i−3i0-442-22-211-1-10000−3i3i3i−3i000000000002-2-11-113i−3i−3i3i00000000000000000000000000000000
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
χ10288-8-88-4-400-84844-4-44-8-4-42-4-244-24-44200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-480044-4-84-48-842-4-424-2444-4-2-400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-40044-444-4-4442222-2-2-2-2-22-22000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-40044-444-4-4442222-2-2-2-2-22-2200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-8-4-444444-44222-2-2222-2-2-2-2-44-4-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-88-4-444444-44222-2-2222-2-2-2-24-444-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-888-4-400-84-8-4-44448-4-424244-2-44-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48004448-44-8-8-42-4-4-2-4-244-4424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400444-4-4444-4222-22-2-2-22-22-2000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400444-4-4444-4222-22-2-2-22-22-200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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