Finite Group Databasebeta

← Group #10858327

Character table — Group #10858327

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424444444121212121212121212121212121212124444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-111-11
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1-11-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1-11-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-111-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-1-111-1-1111-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1111-1-111-1-1-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1-11111-1-1-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1111-1-1-1-1111-1
χ172222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-200-200000000
χ182222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2200200000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-22222-2-20000000000000000000000000000000000000022-2-2-200200000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-22222-2-200000000000000000000000000000000000000-2-222200-200000000
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
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222221111-1-1-1-11111-1-1-1-10000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ29222-2-22-2-22000022-2-222-2-2-22-20000000022-2-20022-2-200002-200002-22222-2-2-2-2000000002-2000022-2-2000022-2-200000000000000000000
χ30222-2-22-2-22000022-2-222-2-2-22-20000000022-2-200-2-22200002-200002-2-2-2-2-2222200000000-22000022-2-20000-2-22200000000000000000000
χ31222-2-22-2-22000022-2-222-2-2-22-200000000-2-2220022-2-200002-200002-22222-2-2-2-200000000-220000-2-2220000-2-22200000000000000000000
χ32222-2-22-2-22000022-2-222-2-2-22-200000000-2-22200-2-22200002-200002-2-2-2-2-22222000000002-20000-2-222000022-2-200000000000000000000
χ33222-2-22-2-2-1000022-2-2-1-1111-113333−3−3−3−322-2-20022-2-20000-1133−3−3-11-1-1-1-111113333−3−3−3−32-20000-1-11133−3−3-1-11133−3−30000000000000000
χ34222-2-22-2-2-1000022-2-2-1-1111-113333−3−3−3−322-2-200-2-2220000-1133−3−3-111111-1-1-1-1−3−3−3−33333-220000-1-11133−3−311-1-1−3−3330000000000000000
χ35222-2-22-2-2-1000022-2-2-1-1111-113333−3−3−3−3-2-2220022-2-20000-1133−3−3-11-1-1-1-111113333−3−3−3−3-22000011-1-1−3−33311-1-1−3−3330000000000000000
χ36222-2-22-2-2-1000022-2-2-1-1111-113333−3−3−3−3-2-22200-2-2220000-1133−3−3-111111-1-1-1-1−3−3−3−333332-2000011-1-1−3−333-1-11133−3−30000000000000000
χ37222-2-22-2-2-1000022-2-2-1-1111-11−3−3−3−3333322-2-20022-2-20000-11−3−333-11-1-1-1-11111−3−3−3−333332-20000-1-111−3−333-1-111−3−3330000000000000000
χ38222-2-22-2-2-1000022-2-2-1-1111-11−3−3−3−3333322-2-200-2-2220000-11−3−333-111111-1-1-1-13333−3−3−3−3-220000-1-111−3−33311-1-133−3−30000000000000000
χ39222-2-22-2-2-1000022-2-2-1-1111-11−3−3−3−33333-2-2220022-2-20000-11−3−333-11-1-1-1-11111−3−3−3−33333-22000011-1-133−3−311-1-133−3−30000000000000000
χ40222-2-22-2-2-1000022-2-2-1-1111-11−3−3−3−33333-2-22200-2-2220000-11−3−333-111111-1-1-1-13333−3−3−3−32-2000011-1-133−3−3-1-111−3−3330000000000000000
χ4122-222-2-2-2222-2-200002-22-22-2-222-2-222-2-20000002−22−222−2−20000000022−2−222−2−222−2−222−2−200000000000000000000002-22-20000002−22−200
χ4222-222-2-2-2222-2-200002-22-22-2-222-2-222-2-20000002−22−222−2−20000000022−2−222−2−222−2−222−2−20000000000000000000000-22-22000000−22−2200
χ4322-222-2-2-2222-2-200002-22-22-2-222-2-222-2-2000000−22−22−2−22200000000−2−222−2−222−2−222−2−22200000000000000000000002-22-2000000−22−2200
χ4422-222-2-2-2222-2-200002-22-22-2-222-2-222-2-2000000−22−22−2−22200000000−2−222−2−222−2−222−2−2220000000000000000000000-22-220000002−22−200
χ4522-222-2-2-22-2-22200002-22-22-2-2-2-222-2-2220000002−22−2−2−2220000000022−2−222−2−2−2−222−2−22200000000000000000000002-2-22000000−222−200
χ4622-222-2-2-22-2-22200002-22-22-2-2-2-222-2-2220000002−22−2−2−2220000000022−2−222−2−2−2−222−2−2220000000000000000000000-222-20000002−2−2200
χ4722-222-2-2-22-2-22200002-22-22-2-2-2-222-2-222000000−22−2222−2−200000000−2−222−2−22222−2−222−2−200000000000000000000002-2-220000002−2−2200
χ4822-222-2-2-22-2-22200002-22-22-2-2-2-222-2-222000000−22−2222−2−200000000−2−222−2−22222−2−222−2−20000000000000000000000-222-2000000−222−200
χ492-2-22-222-222i−2i2i−2i2-2-22-2-222-22-22i−2i2i−2i2i−2i2i−2i00002i−2i000000002-22i−2i2i−2i-2200000000000000000000000000000000000000000002-202i−2i000000
χ502-2-22-222-222i−2i2i−2i2-2-22-2-222-22-22i−2i2i−2i2i−2i2i−2i00002i−2i000000002-22i−2i2i−2i-220000000000000000000000000000000000000000000-220−2i2i000000
χ512-2-22-222-222i−2i2i−2i-222-2-2-222-22-22i−2i2i−2i2i−2i2i−2i2-22-2−2i2i00000000-22−2i2i−2i2i2-20000000000000000002i−2i002-22-22i−2i2i−2i000000000000000000000000
χ522-2-22-222-222i−2i2i−2i-222-2-2-222-22-22i−2i2i−2i2i−2i2i−2i-22-22−2i2i00000000-22−2i2i−2i2i2-2000000000000000000−2i2i00-22-22−2i2i−2i2i000000000000000000000000
χ532-2-22-222-22−2i2i−2i2i2-2-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000−2i2i000000002-2−2i2i−2i2i-2200000000000000000000000000000000000000000002-20−2i2i000000
χ542-2-22-222-22−2i2i−2i2i2-2-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000−2i2i000000002-2−2i2i−2i2i-220000000000000000000000000000000000000000000-2202i−2i000000
χ552-2-22-222-22−2i2i−2i2i-222-2-2-222-22-2−2i2i−2i2i−2i2i−2i2i2-22-22i−2i00000000-222i−2i2i−2i2-2000000000000000000−2i2i002-22-2−2i2i−2i2i000000000000000000000000
χ562-2-22-222-22−2i2i−2i2i-222-2-2-222-22-2−2i2i−2i2i−2i2i−2i2i-22-222i−2i00000000-222i−2i2i−2i2-20000000000000000002i−2i00-22-222i−2i2i−2i000000000000000000000000
χ572-2-22-222-2-12i−2i2i−2i-222-211-1-11-11−ii−ii−ii−ii2-22-2−2i2i000000001-1i−ii−i-11−i3i3−i3i3−i3i3−i3i33−33−33−33−3002i−2i00-11-11−ii−ii−i3i3−i3i33−33−30000000000000000
χ582-2-22-222-2-12i−2i2i−2i-222-211-1-11-11−ii−ii−ii−ii2-22-2−2i2i000000001-1i−ii−i-11i3−i3i3−i3i3−i3i3−i3−33−33−33−33002i−2i00-11-11−ii−iii3−i3i3−i3−33−330000000000000000
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χ642-2-22-222-2-1−2i2i−2i2i-222-211-1-11-11i−ii−ii−ii−i-22-222i−2i000000001-1−ii−ii-11i3−i3i3−i3i3−i3i3−i33−33−33−33−3002i−2i001-11-1−ii−ii−i3i3−i3i3−33−330000000000000000
χ652-2-2-222-2220000-22-22-2-2-2-2222000000002-2-220000002-22-2-2-2000022000000002-22-2-22-2200002-22-2-22000000002-2-220000000000000000
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χ8444-444-4-4-4-2-4-4440000-22-22-22222-2-222-2-200000022−2222−22−22−22222200000000−2−222−2−22222−2−222−2−200000000000000000000000000000000000000
χ8544-444-4-4-4-2-4-4440000-22-22-22222-2-222-2-2000000−2222−22222222−22−220000000022−2−222−2−2−2−222−2−22200000000000000000000000000000000000000
χ8644-4-4-4-4444000000004-4-44-4-440000000000000022−22−22220000000000002222−22−22−22−2222220000000000000000000000000000000000000000000000
χ8744-4-4-4-4444000000004-4-44-4-4400000000000000−222222−22000000000000−22−2222222222−22−220000000000000000000000000000000000000000000000
χ8844-4-4-4-444-200000000-222-222-22323−23−23−23−23232300000022−22−2222000000000000−2−22222−2−266−6−6−6−66600000000000000000000000000000000000000
χ8944-4-4-4-444-200000000-222-222-22323−23−23−23−232323000000−222222−2200000000000022−2−2−2−222−6−66666−6−600000000000000000000000000000000000000
χ9044-4-4-4-444-200000000-222-222-2−23−2323232323−23−2300000022−22−2222000000000000−2−22222−2−2−6−66666−6−600000000000000000000000000000000000000
χ9144-4-4-4-444-200000000-222-222-2−23−2323232323−23−23000000−222222−2200000000000022−2−2−2−22266−6−6−6−66600000000000000000000000000000000000000
χ924-444-4-4-4444i−4i−4i4i0000-444-4-4-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-444-4-4-444−4i4i4i−4i0000-444-4-4-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-4-44-24i−4i−4i4i00002-2-2222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000i6−i6−i6i6i6−i6−i6i6−666−6−666−600000000000000000000000000000000000000
χ954-444-4-4-44-24i−4i−4i4i00002-2-2222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000−i6i6i6−i6−i6i6i6−i66−6−666−6−6600000000000000000000000000000000000000
χ964-444-4-4-44-2−4i4i4i−4i00002-2-2222-22i−2i−2i2i2i−2i−2i2i0000000000000000000000i6−i6−i6i6i6−i6−i6i66−6−666−6−6600000000000000000000000000000000000000
χ974-444-4-4-44-2−4i4i4i−4i00002-2-2222-22i−2i−2i2i2i−2i−2i2i0000000000000000000000−i6i6i6−i6−i6i6i6−i6−666−6−666−600000000000000000000000000000000000000
χ984-44-44-44-4400000000-44-444-4-400000000000000000022−22−2222000000000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ994-44-44-44-4400000000-44-444-4-4000000000000000000−222222−220000000000000000−222222−2222−22−222200000000000000000000000000000000000000
χ1004-44-44-44-4-2000000002-22-2-222−2i32i32i3−2i32i3−2i3−2i32i3000000000022−22−222200000000−i6i6i6−i6i6−i6−i6i6−222−22−2−2200000000000000000000000000000000000000
χ1014-44-44-44-4-2000000002-22-2-222−2i32i32i3−2i32i3−2i3−2i32i30000000000−222222−2200000000i6−i6−i6i6−i6i6i6−i62−2−22−222−200000000000000000000000000000000000000
χ1024-44-44-44-4-2000000002-22-2-2222i3−2i3−2i32i3−2i32i32i3−2i3000000000022−22−222200000000i6−i6−i6i6−i6i6i6−i6−222−22−2−2200000000000000000000000000000000000000
χ1034-44-44-44-4-2000000002-22-2-2222i3−2i3−2i32i3−2i32i32i3−2i30000000000−222222−2200000000−i6i6i6−i6i6−i6−i6i62−2−22−222−200000000000000000000000000000000000000
χ1044-4-44-444-4-24i−4i4i−4i4-4-4422-2-22-22−2i2i−2i2i−2i2i−2i2i00004i−4i00000000-22−2i2i−2i2i2-2000000000000000000000000000000000000000000000000000000
χ1054-4-44-444-4-2−4i4i−4i4i4-4-4422-2-22-222i−2i2i−2i2i−2i2i−2i0000−4i4i00000000-222i−2i2i−2i2-2000000000000000000000000000000000000000000000000000000
χ1064-4-4-444-44400004-44-4-4-4-4-44440000000000000000000000440000-4-4000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-200004-44-42222-2-2-2−2i32i3−2i32i32i3−2i32i3−2i300000000000000-2-2−2i32i32i3−2i322000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-200004-44-42222-2-2-22i3−2i32i3−2i3−2i32i3−2i32i300000000000000-2-22i3−2i3−2i32i322000000000000000000000000000000000000000000000000000000

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