Finite Group Databasebeta

← Group #10829957

Character table — Group #10829957

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222344444444666666612121212121212124444448888888812121212121212122424242424242424242424242424242422444466661212121212121212121212124444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
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
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11-1-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1-1-11
χ172222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ182222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
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
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2221111-1-1-1-1-1-1-1-111110000000000000000
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
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-1-1-1-10000000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-222-1-1-1-11111-1-1-1-111110000000000000000
χ29222-2-2-2-2220000-22-2222-2-22-2-200000000002i2i−2i−2i2i2i−2i−2i00002-200002-22i2i2i2i−2i−2i−2i−2i000000002-2000022-2-22i2i−2i−2i000000000000000000000000
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χ39222-2-2-2-22-10000-22-22-1-111-111−3−3−3−3333300−2i−2i2i2i2i2i−2i−2i0000-11−3−333-11−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3-22000011-1-1ii−i−i−i3−i3i3i333−3−30000000000000000
χ40222-2-2-2-22-10000-22-22-1-111-111−3−3−3−3333300−2i−2i2i2i−2i−2i2i2i0000-11−3−333-11iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i32-20000-1-111ii−i−i−i3−i3i3i3−3−3330000000000000000
χ4122-2-22-22-2222-2-200002-22-2-22-222-2-222-2-2000000−i2i2−i2i2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000002-22-2000000−i2i2−i2i200
χ4222-2-22-22-2222-2-200002-22-2-22-222-2-222-2-2000000−i2i2−i2i2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000-22-22000000i2−i2i2−i200
χ4322-2-22-22-2222-2-200002-22-2-22-222-2-222-2-2000000i2−i2i2−i2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000002-22-2000000i2−i2i2−i200
χ4422-2-22-22-2222-2-200002-22-2-22-222-2-222-2-2000000i2−i2i2−i2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000-22-22000000−i2i2−i2i200
χ4522-2-22-22-22-2-22200002-22-2-22-2-2-222-2-222000000−i2i2−i2i2i2i2−i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000002-2-22000000−i2i2i2−i200
χ4622-2-22-22-22-2-22200002-22-2-22-2-2-222-2-222000000−i2i2−i2i2i2i2−i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000-222-2000000i2−i2−i2i200
χ4722-2-22-22-22-2-22200002-22-2-22-2-2-222-2-222000000i2−i2i2−i2−i2−i2i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000002-2-22000000i2−i2−i2i200
χ4822-2-22-22-22-2-22200002-22-2-22-2-2-222-2-222000000i2−i2i2−i2−i2−i2i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000-222-2000000−i2i2i2−i200
χ492-2-22-2-2222000022-2-2-2-2222-2-200000000002i−2i2i−2i00002-22-2-2200002-2000000002-22-22-22-2002i−2i0000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ502-2-22-2-2222000022-2-2-2-2222-2-200000000002i−2i2i−2i0000-22-22-2200002-200000000-22-22-22-2200−2i2i0000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ512-2-22-2-2222000022-2-2-2-2222-2-20000000000−2i2i−2i2i00002-22-2-2200002-2000000002-22-22-22-200−2i2i000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ522-2-22-2-2222000022-2-2-2-2222-2-20000000000−2i2i−2i2i0000-22-22-2200002-200000000-22-22-22-22002i−2i000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
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χ552-2-22-2-222-1000022-2-211-1-1-1113−33−33−33−300−2i2i−2i2i00002-22-21-13−33−3-113−33−33−33−3-11-11-11-1100−2i2i00i3−i3i3−i3i−ii−ii3−i3i3−i3i−ii−i0000000000000000
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χ7844444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2222222224400000000000022-2-2-2-222000000000000000000000000000000000000000000000000000000
χ79444-4-4-4-44400004-44-444-4-44-4-40000000000000000000000-440000-44000000000000000000000000000000000000000000000000000000
χ80444-4-4-4-44-200004-44-4-2-222-22223232323−23−23−23−23000000000000002-2−23−2323232-2000000000000000000000000000000000000000000000000000000
χ81444-4-4-4-44-200004-44-4-2-222-222−23−23−23−2323232323000000000000002-22323−23−232-2000000000000000000000000000000000000000000000000000000
χ8244-44-44-4-44000000004-4-44-4-440000000000000022−22−22220000000000002222−22−22−22−2222220000000000000000000000000000000000000000000000
χ8344-44-44-4-44000000004-4-44-4-4400000000000000−222222−22000000000000−22−2222222222−22−220000000000000000000000000000000000000000000000
χ8444-44-44-4-4-200000000-222-222-22323−23−23−23−23232300000022−22−2222000000000000−2−22222−2−2−6−66666−6−600000000000000000000000000000000000000
χ8544-44-44-4-4-200000000-222-222-22323−23−23−23−232323000000−222222−2200000000000022−2−2−2−22266−6−6−6−66600000000000000000000000000000000000000
χ8644-44-44-4-4-200000000-222-222-2−23−2323232323−23−2300000022−22−2222000000000000−2−22222−2−266−6−6−6−66600000000000000000000000000000000000000
χ8744-44-44-4-4-200000000-222-222-2−23−2323232323−23−23000000−222222−2200000000000022−2−2−2−222−6−66666−6−600000000000000000000000000000000000000
χ8844-4-44-44-4-244-4-40000-22-222-22-2-222-2-222000000−2i22i2−2i22i2−2i2−2i22i22i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ8944-4-44-44-4-244-4-40000-22-222-22-2-222-2-2220000002i2−2i22i2−2i22i22i2−2i2−2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ9044-4-44-44-4-2-4-4440000-22-222-2222-2-222-2-2000000−2i22i2−2i22i22i22i2−2i2−2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ9144-4-44-44-4-2-4-4440000-22-222-2222-2-222-2-20000002i2−2i22i2−2i2−2i2−2i22i22i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ924-4444-4-4-444-4-440000-44-44-44-44-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4444-4-4-44-444-40000-44-44-44-4-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4444-4-4-4-24-4-4400002-22-22-22-222-22-2-2200000000000000000000006−6−66−666−66−6−66−666−600000000000000000000000000000000000000
χ954-4444-4-4-4-24-4-4400002-22-22-22-222-22-2-220000000000000000000000−666−66−6−66−666−66−6−6600000000000000000000000000000000000000
χ964-4444-4-4-4-2-444-400002-22-22-222-2-22-222-200000000000000000000006−6−66−666−6−666−66−6−6600000000000000000000000000000000000000
χ974-4444-4-4-4-2-444-400002-22-22-222-2-22-222-20000000000000000000000−666−66−6−666−6−66−666−600000000000000000000000000000000000000
χ984-44-4-444-4400000000-444-4-4-44000000000000000000−2i22i22i2−2i20000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ994-44-4-444-4400000000-444-4-4-440000000000000000002i2−2i2−2i22i200000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ1004-44-4-444-4-2000000002-2-2222-223−23−232323−23−23230000000000−2i22i22i2−2i200000000−i6i6i6−i6−i6i6i6−i6i2−i2−i2i2i2−i2−i2i200000000000000000000000000000000000000
χ1014-44-4-444-4-2000000002-2-2222-223−23−232323−23−232300000000002i2−2i2−2i22i200000000i6−i6−i6i6i6−i6−i6i6−i2i2i2−i2−i2i2i2−i200000000000000000000000000000000000000
χ1024-44-4-444-4-2000000002-2-2222-2−232323−23−232323−230000000000−2i22i22i2−2i200000000i6−i6−i6i6i6−i6−i6i6i2−i2−i2i2i2−i2−i2i200000000000000000000000000000000000000
χ1034-44-4-444-4-2000000002-2-2222-2−232323−23−232323−2300000000002i2−2i2−2i22i200000000−i6i6i6−i6−i6i6i6−i6−i2i2i2−i2−i2i2i2−i200000000000000000000000000000000000000
χ1044-4-44-4-44440000-4-444-4-4444-4-400000000000000000000004-40000-44000000000000000000000000000000000000000000000000000000
χ1054-4-44-4-444-20000-4-44422-2-2-22223−2323−2323−2323−2300000000000000-22−2323−23232-2000000000000000000000000000000000000000000000000000000
χ1064-4-44-4-444-20000-4-44422-2-2-222−2323−2323−2323−232300000000000000-2223−2323−232-2000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-24-44-44-4-442222-2-2-2-22-222-22-24-4000000000000-2-22-2-2222000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-44-444-4-442222-2-2-22-22-2-22-22-44000000000000-2-2-222-222000000000000000000000000000000000000000000000000000000

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