Finite Group Databasebeta

← Group #10867964

Character table — Group #10867964

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222344444444666666612121212121212124444448888888812121212121212122424242424242424242424242424242422444466661212121212121212121212124444244444888844
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
χ511111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-1-11
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1-1111-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-1111-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-11111-1-1-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-11111-1-11-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-111-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-11-1
χ172222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ182222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-22222-2-20000000000000000000000000000000000000022-2-22-20000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-22222-2-200000000000000000000000000000000000000-2-222-220000000000
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
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222221111-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111112222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-222-1-1-1-1-1-1-1-1111111110000000000000000
χ29222-2-22-2-2222-2-20000-2-2-2-22222222-2-2-2-200000022−2−222−2−2000000002222−2−2−2−22222−2−2−2−200000000000000000000002i−2i2i−2i000000−i2i2−i2i200
χ30222-2-22-2-2222-2-20000-2-2-2-22222222-2-2-2-200000022−2−222−2−2000000002222−2−2−2−22222−2−2−2−20000000000000000000000−2i2i−2i2i000000i2−i2i2−i200
χ31222-2-22-2-2222-2-20000-2-2-2-22222222-2-2-2-2000000−2−222−2−22200000000−2−2−2−22222−2−2−2−2222200000000000000000000002i−2i2i−2i000000i2−i2i2−i200
χ32222-2-22-2-2222-2-20000-2-2-2-22222222-2-2-2-2000000−2−222−2−22200000000−2−2−2−22222−2−2−2−222220000000000000000000000−2i2i−2i2i000000−i2i2−i2i200
χ33222-2-22-2-22-2-2220000-2-2-2-2222-2-2-2-2222200000022−2−2−2−222000000002222−2−2−2−2−2−2−2−2222200000000000000000000002i−2i−2i2i000000−i2i2i2−i200
χ34222-2-22-2-22-2-2220000-2-2-2-2222-2-2-2-2222200000022−2−2−2−222000000002222−2−2−2−2−2−2−2−222220000000000000000000000−2i2i2i−2i000000i2−i2−i2i200
χ35222-2-22-2-22-2-2220000-2-2-2-2222-2-2-2-22222000000−2−22222−2−200000000−2−2−2−222222222−2−2−2−200000000000000000000002i−2i−2i2i000000i2−i2−i2i200
χ36222-2-22-2-22-2-2220000-2-2-2-2222-2-2-2-22222000000−2−22222−2−200000000−2−2−2−222222222−2−2−2−20000000000000000000000−2i2i2i−2i000000−i2i2i2−i200
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χ4222-2-22-22-22−2i2i−2i2i2-2-222-22-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i2i000000002-2−2i−2i2i2i2-200000000000000000000000000000000000000000000-222i−2i000000
χ4322-2-22-22-22−2i2i−2i2i-222-22-22-22-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i−2i00000000-222i2i−2i−2i-220000000000000000-220000-2-222000000002i2i−2i−2i0000000000000000
χ4422-2-22-22-22−2i2i−2i2i-222-22-22-22-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i−2i00000000-222i2i−2i−2i-2200000000000000002-2000022-2-200000000−2i−2i2i2i0000000000000000
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χ4722-2-22-22-2-12i−2i2i−2i-222-2-11-11-111−i−iii−i−iii−2i−2i2i2i−2i2i000000001-1ii−i−i1-1−i3−i3i3i3−i3−i3i3i333−3−333−3−3-22000011-1-1−3−333i3i3−i3−i3ii−i−i0000000000000000
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χ5022-2-22-22-2-1−2i2i−2i2i-222-2-11-11-111ii−i−iii−i−i2i2i−2i−2i2i−2i000000001-1−i−iii1-1i3i3−i3−i3i3i3−i3−i333−3−333−3−3-22000011-1-1−3−333−i3−i3i3i3−i−iii0000000000000000
χ5122-2-22-22-2-1−2i2i−2i2i-222-2-11-11-111ii−i−iii−i−i−2i−2i2i2i2i−2i000000001-1−i−iii1-1−i3−i3i3i3−i3−i3i3i3−3−333−3−3332-20000-1-111−3−333−i3−i3i3i3ii−i−i0000000000000000
χ5222-2-22-22-2-1−2i2i−2i2i-222-2-11-11-111ii−i−iii−i−i−2i−2i2i2i2i−2i000000001-1−i−iii1-1i3i3−i3−i3i3i3−i3−i333−3−333−3−32-20000-1-11133−3−3i3i3−i3−i3ii−i−i0000000000000000
χ532-22-22-2-22200002-22-2-2-222-2-22000000002-22-2002i−2i2i−2i0000220000-2-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i00002i−2i2i−2i00002-22-20000000000000000
χ542-22-22-2-22200002-22-2-2-222-2-22000000002-22-200−2i2i−2i2i0000220000-2-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i0000−2i2i−2i2i00002-22-20000000000000000
χ552-22-22-2-22200002-22-2-2-222-2-2200000000-22-22002i−2i2i−2i0000220000-2-22i−2i2i−2i2i−2i2i−2i000000000000−2i2i0000−2i2i−2i2i0000-22-220000000000000000
χ562-22-22-2-22200002-22-2-2-222-2-2200000000-22-2200−2i2i−2i2i0000220000-2-2−2i2i−2i2i−2i2i−2i2i0000000000002i−2i00002i−2i2i−2i0000-22-220000000000000000
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χ612-22-22-2-22-100002-22-211-1-111-1i3−i3i3−i3i3−i3i3−i32-22-2002i−2i2i−2i0000-1-1i3−i3i3−i311−ii−ii−ii−ii−33−33−33−3300002i−2ii3−i3i3−i3−ii−ii−33−33-11-110000000000000000
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χ652-2-2222-2-220000-2-222-222-2-22-2000000002i−2i−2i2i0000002-22-2-2200002-2000000002-2-222-2-22002i−2i0000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ662-2-2222-2-220000-2-222-222-2-22-2000000002i−2i−2i2i000000-22-22-2200002-200000000-222-2-222-200−2i2i00000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ672-2-2222-2-220000-2-222-222-2-22-200000000−2i2i2i−2i0000002-22-2-2200002-2000000002-2-222-2-2200−2i2i00000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ682-2-2222-2-220000-2-222-222-2-22-200000000−2i2i2i−2i000000-22-22-2200002-200000000-222-2-222-2002i−2i0000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
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χ702-2-2222-2-2-10000-2-2221-1-111-113−3−333−3−332i−2i−2i2i000000-22-221-1−333−3-113−3−333−3−331-1-111-1-1100−2i2i00−i3i3i3−i3i3−i3−i3i3−iii−i−iii−i0000000000000000
χ712-2-2222-2-2-10000-2-2221-1-111-113−3−333−3−33−2i2i2i−2i0000002-22-21-1−333−3-11−333−3−333−3-111-1-111-100−2i2i00i3−i3−i3i3i3−i3−i3i3−iii−ii−i−ii0000000000000000
χ722-2-2222-2-2-10000-2-2221-1-111-113−3−333−3−33−2i2i2i−2i000000-22-221-1−333−3-113−3−333−3−331-1-111-1-11002i−2i00i3−i3−i3i3−i3i3i3−i3i−i−iii−i−ii0000000000000000
χ732-2-2222-2-2-10000-2-2221-1-111-11−333−3−333−32i−2i−2i2i0000002-22-21-13−3−33-113−3−333−3−33-111-1-111-1002i−2i00i3−i3−i3i3i3−i3−i3i3i−i−ii−iii−i0000000000000000
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χ7744444444-24444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-4-40000000022222222000000000000000000000000000000000000000000000000000000
χ7844444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2222222220000440000000022-2-2-2-222000000000000000000000000000000000000000000000000000000
χ79444-4-44-4-4-244-4-400002222-2-2-2-2-2-2-222220000002222−22−222222−22−2200000000−2−2−2−22222−2−2−2−2222200000000000000000000000000000000000000
χ80444-4-44-4-4-244-4-400002222-2-2-2-2-2-2-22222000000−22−222222−22−222222000000002222−2−2−2−22222−2−2−2−200000000000000000000000000000000000000
χ81444-4-44-4-4-2-4-44400002222-2-2-22222-2-2-2-20000002222−22−22−22−22222200000000−2−2−2−222222222−2−2−2−200000000000000000000000000000000000000
χ82444-4-44-4-4-2-4-44400002222-2-2-22222-2-2-2-2000000−22−2222222222−22−22000000002222−2−2−2−2−2−2−2−2222200000000000000000000000000000000000000
χ8344-44-4-4-4444i−4i−4i4i0000-44-444-4-44i4i−4i−4i−4i−4i4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ8444-44-4-4-444−4i4i4i−4i0000-44-444-4-4−4i−4i4i4i4i4i−4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ8544-44-4-4-44-24i−4i−4i4i00002-22-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000i6i6−i6−i6−i6−i6i6i6−6−66666−6−600000000000000000000000000000000000000
χ8644-44-4-4-44-24i−4i−4i4i00002-22-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000−i6−i6i6i6i6i6−i6−i666−6−6−6−66600000000000000000000000000000000000000
χ8744-44-4-4-44-2−4i4i4i−4i00002-22-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000i6i6−i6−i6−i6−i6i6i666−6−6−6−66600000000000000000000000000000000000000
χ8844-44-4-4-44-2−4i4i4i−4i00002-22-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000−i6−i6i6i6i6i6−i6−i6−6−66666−6−600000000000000000000000000000000000000
χ8944-4-44-44-4-24i−4i4i−4i4-4-44-22-22-222−2i−2i2i2i−2i−2i2i2i00004i−4i00000000-22−2i−2i2i2i-22000000000000000000000000000000000000000000000000000000
χ9044-4-44-44-4-2−4i4i−4i4i4-4-44-22-22-2222i2i−2i−2i2i2i−2i−2i0000−4i4i00000000-222i2i−2i−2i-22000000000000000000000000000000000000000000000000000000
χ914-444-4-44-440000000044-4-4-4-4400000000000000−2i22i22i2−2i2000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ924-444-4-44-440000000044-4-4-4-44000000000000002i2−2i2−2i22i20000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ934-444-4-44-4-200000000-2-22222-2−2i32i3−2i32i32i3−2i32i3−2i3000000−2i22i22i2−2i2000000000000i2−i2i2−i2−i2i2−i2i2−66−666−66−600000000000000000000000000000000000000
χ944-444-4-44-4-200000000-2-22222-2−2i32i3−2i32i32i3−2i32i3−2i30000002i2−2i2−2i22i2000000000000−i2i2−i2i2i2−i2i2−i26−66−6−66−6600000000000000000000000000000000000000
χ954-444-4-44-4-200000000-2-22222-22i3−2i32i3−2i3−2i32i3−2i32i3000000−2i22i22i2−2i2000000000000i2−i2i2−i2−i2i2−i2i26−66−6−66−6600000000000000000000000000000000000000
χ964-444-4-44-4-200000000-2-22222-22i3−2i32i3−2i3−2i32i3−2i32i30000002i2−2i2−2i22i2000000000000−i2i2−i2i2i2−i2i2−i2−66−666−66−600000000000000000000000000000000000000
χ974-44-44-4-4440000-44-44-4-444-4-440000000000000000000000-4-4000044000000000000000000000000000000000000000000000000000000
χ984-44-44-4-44-20000-44-4422-2-222-2−2i32i3−2i32i3−2i32i3−2i32i300000000000000222i3−2i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000
χ994-44-44-4-44-20000-44-4422-2-222-22i3−2i32i3−2i32i3−2i32i3−2i30000000000000022−2i32i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-44000044-4-4-444-4-44-400000000000000000000004-40000-44000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2000044-4-42-2-222-2223−23−232323−23−232300000000000000-2223−23−23232-2000000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-2000044-4-42-2-222-22−232323−23−232323−2300000000000000-22−232323−232-2000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-44444000000004-4-44-44-400000000000000000022−22−2222000000000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ1044-4-4-4-44444000000004-4-44-44-4000000000000000000−222222−220000000000000000−222222−2222−22−222200000000000000000000000000000000000000
χ1054-4-4-4-4444-200000000-222-22-2223−23−2323−232323−23000000000022−22−222200000000−666−66−6−66−222−22−2−2200000000000000000000000000000000000000
χ1064-4-4-4-4444-200000000-222-22-2223−23−2323−232323−230000000000−222222−22000000006−6−66−666−62−2−22−222−200000000000000000000000000000000000000
χ1074-4-4-4-4444-200000000-222-22-22−232323−2323−23−2323000000000022−22−2222000000006−6−66−666−6−222−22−2−2200000000000000000000000000000000000000
χ1084-4-4-4-4444-200000000-222-22-22−232323−2323−23−23230000000000−222222−2200000000−666−66−6−662−2−22−222−200000000000000000000000000000000000000

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