Finite Group Databasebeta

← Group #10854148

Character table — Group #10854148

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222344444444666666612121212121212124444448888888812121212121212122424242424242424242424242424242422444466661212121212121212121212124444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-111-1-11-1
χ1011111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-111-11
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-111-1-1-1-111-11
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-11-1-11111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1111-1-1-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-1-11
χ17222222222-2-22222-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ18222222222-2-22222-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000000000000000000000000022-2-2-220000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000000000000000000000000000-2-2222-20000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222221111-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-21111-1-1-1-11111-1-1-1-10000000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-222-1-1-1-11111-1-1-1-111110000000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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χ37222-2-2-2-22-12-200002-2-11-11-111−3−3−3−33333002i2i−2i−2i22-2-20000-11−3−333-11-1-1-1-11111−3−3−3−33333002i−2i00i3i3−i3−i3−i−iiii3i3−i3−i3−i−iii0000000000000000
χ38222-2-2-2-22-12-200002-2-11-11-111−3−3−3−33333002i2i−2i−2i-2-2220000-11−3−333-111111-1-1-1-13333−3−3−3−300−2i2i00i3i3−i3−i3ii−i−i−i3−i3i3i3−i−iii0000000000000000
χ39222-2-2-2-22-12-200002-2-11-11-111−3−3−3−3333300−2i−2i2i2i22-2-20000-11−3−333-11-1-1-1-11111−3−3−3−3333300−2i2i00−i3−i3i3i3ii−i−i−i3−i3i3i3ii−i−i0000000000000000
χ40222-2-2-2-22-12-200002-2-11-11-111−3−3−3−3333300−2i−2i2i2i-2-2220000-11−3−333-111111-1-1-1-13333−3−3−3−3002i−2i00−i3−i3i3i3−i−iiii3i3−i3−i3ii−i−i0000000000000000
χ412-2222-2-2-222222-2-2-2-2-2-222-2-2222-2-222-2-22-22-22-200000000222-22-2-2-200000000000000002-200002-22-2000000002-22-20000000000000000
χ422-2222-2-2-222222-2-2-2-2-2-222-2-2222-2-222-2-22-2-22-2200000000222-22-2-2-20000000000000000-220000-22-2200000000-22-220000000000000000
χ432-2222-2-2-2222-2-222-2-2-2-222-2-22-2-222-2-222-222-22-20000000022-22-22-2-20000000000000000-220000-22-22000000002-22-20000000000000000
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χ492-2222-2-2-2-12222-2-2-2-211-1-111-1-1-111-1-1112-22-22-200000000-1-1-11-111133−3−333−3−333−3−333−3−32-20000-11-113−33−33−33−3-11-110000000000000000
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χ512-2222-2-2-2-12222-2-2-2-211-1-111-1-1-111-1-1112-2-22-2200000000-1-1-11-111133−3−333−3−333−3−333−3−3-2200001-11-1−33−33−33−331-11-10000000000000000
χ522-2222-2-2-2-12222-2-2-2-211-1-111-1-1-111-1-1112-2-22-2200000000-1-1-11-1111−3−333−3−333−3−333−3−333-2200001-11-13−33−33−33−31-11-10000000000000000
χ532-2222-2-2-2-122-2-222-2-211-1-111-111-1-111-1-1-222-22-200000000-1-11-11-11133−3−333−3−3−3−333−3−333-2200001-11-13−33−3−33−33-11-110000000000000000
χ542-2222-2-2-2-122-2-222-2-211-1-111-111-1-111-1-1-222-22-200000000-1-11-11-111−3−333−3−33333−3−333−3−3-2200001-11-1−33−333−33−3-11-110000000000000000
χ552-2222-2-2-2-122-2-222-2-211-1-111-111-1-111-1-1-22-22-2200000000-1-11-11-11133−3−333−3−3−3−333−3−3332-20000-11-11−33−333−33−31-11-10000000000000000
χ562-2222-2-2-2-122-2-222-2-211-1-111-111-1-111-1-1-22-22-2200000000-1-11-11-111−3−333−3−33333−3−333−3−32-20000-11-113−33−3−33−331-11-10000000000000000
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χ582-22-2-222-222-20000-22-222-2-22-200000000002i−2i−2i2i0000-2-2222-20000-2200000000-2-22222-2-20000−2i2i000000002i−2i−2i2i2i−2i−2i2i0000000000000000
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χ9144-4-444-4-4-2004-4-4400-2-22222-2-222-2-222-20000000000000000000000−666−6−666−6−666−6−666−600000000000000000000000000000000000000
χ9244-4-444-4-4-200-444-400-2-22222-22-2-222-2-2200000000000000000000006−6−666−6−66−666−6−666−600000000000000000000000000000000000000
χ9344-4-444-4-4-200-444-400-2-22222-22-2-222-2-220000000000000000000000−666−6−666−66−6−666−6−6600000000000000000000000000000000000000
χ944-4444-4-4-4-2-4-444-4-44422-2-222-2-2-222-2-222-44000000000000222-22-2-2-2000000000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-4-4-4-4444422-2-222-222-2-222-2-24-400000000000022-22-22-2-2000000000000000000000000000000000000000000000000000000
χ964-44-4-444-44-4400004-4-444-4-44-40000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ974-44-4-444-4-2-4400004-42-2-222-222323−23−23−23−232323000000000000002-2−232323−23-22000000000000000000000000000000000000000000000000000000
χ984-44-4-444-4-2-4400004-42-2-222-22−23−2323232323−23−23000000000000002-223−23−2323-22000000000000000000000000000000000000000000000000000000
χ994-4-44-44-44400000000-44-444-4-40000000000000022−22−222200000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ1004-4-44-44-44400000000-44-444-4-400000000000000−222222−22000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ1014-4-44-44-44-2000000002-22-2-22223−2323−23−2323−232300000022−22−2222000000000000−22−222−22−26−66−6−66−6600000000000000000000000000000000000000
χ1024-4-44-44-44-2000000002-22-2-22223−2323−23−2323−2323000000−222222−220000000000002−22−2−22−22−66−666−66−600000000000000000000000000000000000000
χ1034-4-44-44-44-2000000002-22-2-222−2323−232323−2323−2300000022−22−2222000000000000−22−222−22−2−66−666−66−600000000000000000000000000000000000000
χ1044-4-44-44-44-2000000002-22-2-222−2323−232323−2323−23000000−222222−220000000000002−22−2−22−226−66−6−66−6600000000000000000000000000000000000000
χ1054-4-4-44-444-2004-44-4002222-2-2-2-22-22-22-2200000022−2222−2222−2222−2200000000−22−22−22−22−22−22−22−2200000000000000000000000000000000000000
χ1064-4-4-44-444-2004-44-4002222-2-2-2-22-22-22-22000000−2222−2222−2222−2222000000002−22−22−22−22−22−22−22−200000000000000000000000000000000000000
χ1074-4-4-44-444-200-44-44002222-2-2-22-22-22-22-200000022−2222−22−2222−222200000000−22−22−22−222−22−22−22−200000000000000000000000000000000000000
χ1084-4-4-44-444-200-44-44002222-2-2-22-22-22-22-2000000−2222−222222−2222−22000000002−22−22−22−2−22−22−22−2200000000000000000000000000000000000000

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