Finite Group Databasebeta

← Group #13156032

Character table — Group #13156032

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121222466661212121212121212121212121212466666612121212121212124488121212122424242426688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
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
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-200-2000022-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20020000-2-22222-2-2-2-2222200000000000000000000000000000000
χ11222222-1222222-1-12-12-1-12-1-122-12-1-1-1222-1-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-10020000-1-122-1-1-1-1-1-1-1-1-1-1200000022-1-1-1-1-1-10000000000002-1-100
χ12222222-1222222-1-12-12-1-12-1-122-12-1-1-1222-1-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-10020000-1-122-1-1-1-1-1-1-1-1-1-1-2000000-2-2111111000000000000-21100
χ13222222-1222222-1-12-12-1-12-1-122-12-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-100-2000011-2-21111111111200000022-1-1-1-1-1-1000000000000-21100
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χ1922222-122222-1-12222-12-1-122-1-1-1-1-1-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-122-1-122-1-1-1-1-1-1-1-1022-1-1-1-1000000002200-1-1-1-1000000000
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χ422-22-22-122-2-2-2-11-2-22212-1-1-2-211-1-1112-1122-2-1-111-200−33−33-111-1-112-2-1-111000i3−i3−i3i300−3300−33−33−3−333000i3−i3−i3i3000000002i−2i00−ii−ii000000000
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χ864-44-4-2-244-422-22-4-4-242-2-2122-1-1-2122-2-22-24-4-2-22220000001-1-111-1-2211-1-10002i3−2i3−2i32i300000000000000000−i3i3i3−i30000000000000000000000000
χ874-44-4-2-24-4422-22-4-4-242-2-2122-1-1-2122-22-22-4422-2-2-20000001-1-11-112-2-1-1114-40-22-22000000000000000-221-11-10000000000000000000000000
χ884-44-4-2-24-4422-22-4-4-242-2-2122-1-1-2122-22-22-4422-2-2-20000001-1-11-112-2-1-111-4402-22-20000000000000002-2-11-110000000000000000000000000
χ894-4-4444400-44-4-4-44-4-44444-44-44-4-4-44-400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ904-4-4444-200-44-4-42-2-424-2-242-2-442-42-220000000000000000-22-22000000000000000000023−23000023−23−232300000000000000000000000000000000
χ914-4-4444-200-44-4-42-2-424-2-242-2-442-42-220000000000000000-22-220000000000000000000−23230000−232323−2300000000000000000000000000000000
χ924-4-444-2400-4422-44-4-4-24-2-2-442-2222-2-4000000000000−2i32i32i3−2i3-22-22000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ934-4-444-2400-4422-44-4-4-24-2-2-442-2222-2-40000000000002i3−2i3−2i32i3-22-220000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ944-4-444-2-200-44222-2-42-2-21-22-22-2-12-112000003i−3i−3i3i000−2i32i32i3−2i31-11-100003i−3i−3i3i0000000000023−23i3−i3−i3i3−333−300000000000000000000000000000000
χ954-4-444-2-200-44222-2-42-2-21-22-22-2-12-112000003i−3i−3i3i0002i3−2i3−2i32i31-11-100003i−3i−3i3i00000000000−2323−i3i3i3−i33−3−3300000000000000000000000000000000
χ964-4-444-2-200-44222-2-42-2-21-22-22-2-12-11200000−3i3i3i−3i000−2i32i32i3−2i31-11-10000−3i3i3i−3i00000000000−2323i3−i3−i3i33−3−3300000000000000000000000000000000
χ974-4-444-2-200-44222-2-42-2-21-22-22-2-12-11200000−3i3i3i−3i0002i3−2i3−2i32i31-11-10000−3i3i3i−3i0000000000023−23−i3i3i3−i3−333−300000000000000000000000000000000
χ984-4-44-244002-2-4-4-442-44-24-22-22-2-42-4420000000000000000-22-2200000000000000000000000000000000000000000000000000006−6−6600000
χ994-4-44-244002-2-4-4-442-44-24-22-22-2-42-4420000000000000000-22-220000000000000000000000000000000000000000000000000000−666−600000
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
χ10288-8-8-48-400-44-88-4444-82-4-42-2-4444-44-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800-444-48-84-84-4-42-442-24-2-444000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-400-444-4-444442222-22-2-2-22-2-2000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-444-4-444442222-22-2-2-22-2-200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-844-4444-4-44222-2-2-2-222-2-22-44-4-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-8844-4444-4-44222-2-2-2-222-2-224-444-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4004-4-8-84-44482-4-4-224-4444-4-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48004-444-884-8-4-4-424-4-224-24-4400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4004-4444-444-4222-22-22-2-2-22-2000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4004-4444-444-4222-22-22-2-2-22-200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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