Finite Group Databasebeta

← Group #13155876

Character table — Group #13155876

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121224466666666121212121212121212124121212121212121212121212121222666688242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-2220000222200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-220022222222-2-20000-2-2-2-200000000000000000000000000000000
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χ12222222-122222-1-12-1222-1-122-1-1-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-12-2-222-1-1-1-1-1-1221111-1-1-1-1000-2-20011110000-2-2111100000000000
χ13222222-122222-1-12-1222-1-122-1-1-1-1-12-122-1-12-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-1-222-2-2111111-2-2-1-1-1-111110002200-1-1-1-10000-2-2111100000000000
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χ392-22-222-1-22-2-2-2112-12-22-1-1-2-21111-12-1-221-1211-1-1-200−i3−i3i3i3-111-1-221-111-1-100000i3−i3i3i3−i3−i300−i3i3i3−i3−i3−i3i3i30000000−i3i3i3−i300002-2-11-1100000000000
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χ874-44-4-2-244-4222-4-4-24-221-2-2-1-12222-21-2-224-42-2-222-20000001-1-111-1-2211-1-1000000000000000000000000002i3−2i30000−i3i3−i3i300000000000000000
χ884-44-4-2-24-44222-4-4-24-221-2-2-1-12222-21-22-2-44-222-2-220000001-1-11-112-2-1-111000000000000000000000000000000003-3-3300000000000000000
χ894-44-4-2-24-44222-4-4-24-221-2-2-1-12222-21-22-2-44-222-2-220000001-1-11-112-2-1-11100000000000000000000000000000000-333-300000000000000000
χ904-4-4444-2004-4-4-22-42-444-2-24-4-22-222-4200000000004i−4i−2i2i−2i2i-2-22200000000000000000004i−4i0000−2i2i−2i2i00000000000000000000000000000000
χ914-4-4444-2004-4-4-22-42-444-2-24-4-22-222-420000000000−4i4i2i−2i2i−2i-2-2220000000000000000000−4i4i00002i−2i2i−2i00000000000000000000000000000000
χ924-4-444-24004-424-42-4-4-2-24-2-224-4-2222-400000000004i−4i4i−4i4i−4i-2-2220000000000000000000−2i2i0000−2i2i−2i2i00000000000000000000000000000000
χ934-4-444-24004-424-42-4-4-2-24-2-224-4-2222-40000000000−4i4i−4i4i−4i4i-2-22200000000000000000002i−2i00002i−2i2i−2i00000000000000000000000000000000
χ944-4-444-2-2004-42-2222-4-2-2-21-22-221-1-122000003i−3i−3i3i04i−4i−2i2i−2i2i11-1-100003i−3i−3i3i0000000-333-3−2i2i0000i−ii−i00000000000000000000000000000000
χ954-4-444-2-2004-42-2222-4-2-2-21-22-221-1-122000003i−3i−3i3i0−4i4i2i−2i2i−2i11-1-100003i−3i−3i3i00000003-3-332i−2i0000−ii−ii00000000000000000000000000000000
χ964-4-444-2-2004-42-2222-4-2-2-21-22-221-1-12200000−3i3i3i−3i04i−4i−2i2i−2i2i11-1-10000−3i3i3i−3i00000003-3-33−2i2i0000i−ii−i00000000000000000000000000000000
χ974-4-444-2-2004-42-2222-4-2-2-21-22-221-1-12200000−3i3i3i−3i0−4i4i2i−2i2i−2i11-1-10000−3i3i3i−3i0000000-333-32i−2i0000−ii−ii00000000000000000000000000000000
χ984-4-44-24400-22-44-4-4-424-2-24-22-224-4-4220000000000000000-2-2220000000000000000000000000000000000000000000000000022−22−22−2200000
χ994-4-44-24400-22-44-4-4-424-2-24-22-224-4-4220000000000000000-2-22200000000000000000000000000000000000000000000000000−22222−22−200000
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
χ10288-8-8-48-4004-484-4-844-8-42-44-4-224-444-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-48004-4-4-884-8442-4-4-224-44-44-2400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4004-4-44-44444222-22-22-22-2-2-2000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4004-4-44-44444222-22-22-22-2-2-200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-844444-4-4-44222-2-2-2-2-2-2222-44-44422-2-2-4000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-8844444-4-4-44222-2-2-2-2-2-22224-44-4-4-2-2224000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-88-48-400-44-8-44-8448-42-4-442-2-4444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4800-4448-84-84-42-4-42-2-44-444-24000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400-444-44444-42222-22-22-2-2-2-2000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400-444-44444-42222-22-22-2-2-2-200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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