Finite Group Databasebeta

← Group #13156447

Character table — Group #13156447

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order122233344666666666333666666666121212121212121212122266663666121212121212121244466666612121212121212121212121241212121212121212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-200222222-2-2-2-20000-2-2-2-200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2200-2-2-2-2-2-222220000222200000000000000000000000000000000
χ11222222-1222-12222-1-122-1-12-1-1-12-1-12-1222-1-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1200-1-1-1-1-1-122-1-10000-1-1-1-120022-1-10000-1-1-1-10000000000002-1-100
χ12222222-1222-12222-1-122-1-12-1-1-12-1-12-1222-1-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1200-1-1-1-1-1-122-1-10000-1-1-1-1-200-2-21100001111000000000000-21100
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χ1922222-1222-122-12222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-10220000-1-1-1-100002200-1-1-1-1000000000
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χ874-44-4-2-244-42-4-2-222-4421-2-2-12221-2-2-122-224-4-2-222-20000001-1-111-1-2211-1-10−4i4i00000000002i−2i2i−2i000002i−2i0000−ii−ii000000000000000000000
χ884-44-4-2-24-442-4-2-222-4421-2-2-12221-2-2-12-22-2-4422-2-220000001-1-11-112-2-1-111000000000000023−23−232300000000000−333−3000000000000000000000
χ894-44-4-2-24-442-4-2-222-4421-2-2-12221-2-2-12-22-2-4422-2-220000001-1-11-112-2-1-1110000000000000−232323−23000000000003−3−33000000000000000000000
χ904-4-4444-200-4-2-4-44-42244-2-2-4-2-22-4224200000000004-44-44-4-2-22200000000000-22-22-2200000000000000000000000000000000000000000000
χ914-4-4444-200-4-2-4-44-42244-2-2-4-2-22-422420000000000-44-44-44-2-222000000000002-22-22-200000000000000000000000000000000000000000000
χ924-4-444-240024-424-4-4-4-2-24-224-222-42-2-400000000004-4-22-22-2-222000000000004-4-22-2200000000000000000000000000000000000000000000
χ934-4-444-240024-424-4-4-4-2-24-224-222-42-2-40000000000-442-22-2-2-22200000000000-442-22-200000000000000000000000000000000000000000000
χ944-4-444-2-2002-2-424-422-2-2-212-21-122-1-22000003i−3i−3i3i04-4-22-2211-1-100003i−3i−3i3i000-221-11-100000000−3i3i3i−3i00000000000000000000000000000000
χ954-4-444-2-2002-2-424-422-2-2-212-21-122-1-22000003i−3i−3i3i0-442-22-211-1-100003i−3i−3i3i0002-2-11-11000000003i−3i−3i3i00000000000000000000000000000000
χ964-4-444-2-2002-2-424-422-2-2-212-21-122-1-2200000−3i3i3i−3i04-4-22-2211-1-10000−3i3i3i−3i000-221-11-1000000003i−3i−3i3i00000000000000000000000000000000
χ974-4-444-2-2002-2-424-422-2-2-212-21-122-1-2200000−3i3i3i−3i0-442-22-211-1-10000−3i3i3i−3i0002-2-11-1100000000−3i3i3i−3i00000000000000000000000000000000
χ984-4-44-24400-442-4-22-4-44-2-242-24-422-4-220000000000000000-2-2220000000000000000000000000000000000000000000000−2i22i20000i2−i2i2−i200000
χ994-4-44-24400-442-4-22-4-44-2-242-24-422-4-220000000000000000-2-22200000000000000000000000000000000000000000000002i2−2i20000−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
χ10288-8-8-48-400844-84-4-44-8-42-4-4-24-44-244200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800-4-8444-48-842-4-4244-4-244-2-400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-400-44444-4-4442222-2-22-2-2-2-22000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-44444-4-4442222-2-22-2-2-2-2200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-844-4-4444-44222-2-2-2-2222-2-24-44-4422-2-2-4000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-8844-4-4444-44222-2-2-2-2222-2-2-44-44-4-2-2224000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-88-48-400-8-44-8-44448-42-442-444-24-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48004844-44-8-8-42-4-4-2-4-44-24424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4004-444-4444-4222-222-2-2-2-22-2000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4004-444-4444-4222-222-2-2-2-22-200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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