Finite Group Databasebeta

← Group #10826290

Character table — Group #10826290

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121222444466668888888812121212242424242424242424242424242424242222446666666612121212121212124444222444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1111111-1-1
χ91111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-111111-1-11-1
χ101111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-111-11
χ111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-111-11
χ121111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111-1-1-111-1-11-1
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-1-11
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1111-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1111-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-11
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χ18222222222-22222-2-2-2222222222222222-2-20000-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000-2-2-2-2200200000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2220000222200000000-2-2-2-20000000000000000000000000000000000000022-2-2200-200000000
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χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-222221111-1-1-1-11111-1-1-1-10000000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-111111111-2-2222211112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111-2-222-2-21111-1-1-1-1-1-1-1-111110000000000000000
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χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-111111111-2-2-2-2-2-211112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111122-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-111111111-2-2-2-2-2-21111-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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χ3722-2-2-222-22-2000022-22-2-22-2-22000000000022-2-200002-22-200002-2-2222-2-222-2-200000000002-200000022-2-222-2-200000000000000000000
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χ3922-2-2-222-22-2000022-22-2-22-2-220000000000-2-22200002-22-200002-2-2222-2-222-2-20000000000-22000000-2-222-2-22200000000000000000000
χ4022-2-2-222-22-2000022-22-2-22-2-220000000000-2-2220000-22-2200002-2-22-2-222-2-22200000000002-200000022-2-2-2-22200000000000000000000
χ4122-2-2-222-2-1-2000022-2-111-111-1−i3−i3i3i3−i3−i3i3i30022-2-2−i3−i3i3i32-22-20000-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3002-200−i3−i3i3i3-1-111-1-111−i3−i3i3i30000000000000000
χ4222-2-2-222-2-1-2000022-2-111-111-1−i3−i3i3i3−i3−i3i3i30022-2-2−i3−i3i3i3-22-220000-111-111-1-111-1-1i3i3−i3−i3i3i3−i3−i300-2200−i3−i3i3i311-1-1-1-111i3i3−i3−i30000000000000000
χ4322-2-2-222-2-1-2000022-2-111-111-1−i3−i3i3i3−i3−i3i3i300-2-222−i3−i3i3i32-22-20000-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i300-2200i3i3−i3−i311-1-111-1-1i3i3−i3−i30000000000000000
χ4422-2-2-222-2-1-2000022-2-111-111-1−i3−i3i3i3−i3−i3i3i300-2-222−i3−i3i3i3-22-220000-111-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3002-200i3i3−i3−i3-1-11111-1-1−i3−i3i3i30000000000000000
χ4522-2-2-222-2-1-2000022-2-111-111-1i3i3−i3−i3i3i3−i3−i30022-2-2i3i3−i3−i32-22-20000-111-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3002-200i3i3−i3−i3-1-111-1-111i3i3−i3−i30000000000000000
χ4622-2-2-222-2-1-2000022-2-111-111-1i3i3−i3−i3i3i3−i3−i30022-2-2i3i3−i3−i3-22-220000-111-111-1-111-1-1−i3−i3i3i3−i3−i3i3i300-2200i3i3−i3−i311-1-1-1-111−i3−i3i3i30000000000000000
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χ4822-2-2-222-2-1-2000022-2-111-111-1i3i3−i3−i3i3i3−i3−i300-2-222i3i3−i3−i3-22-220000-111-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3002-200−i3−i3i3i3-1-11111-1-1i3i3−i3−i30000000000000000
χ492-22-22-22-22-200002-22-22-2-22-2200000000002-22-2000000002-22-2-22-22000000002-22-22-22-200002-2000000002-22-22-22-20000000000000000
χ502-22-22-22-22-200002-22-22-2-22-2200000000002-22-200000000-22-22-22-2200000000-22-22-22-220000-22000000002-22-2-22-220000000000000000
χ512-22-22-22-22-200002-22-22-2-22-220000000000-22-22000000002-22-2-22-22000000002-22-22-22-20000-2200000000-22-22-22-220000000000000000
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χ80444-4-4-4-444000000004-4-4-444-40000000000000000002i2−2i2−2i22i2000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ81444-4-4-4-44-200000000-2222-2-222323−23−23−23−2323230000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i2−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000000000
χ82444-4-4-4-44-200000000-2222-2-222323−23−23−23−23232300000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i2i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ83444-4-4-4-44-200000000-2222-2-22−23−2323232323−23−230000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i2i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ84444-4-4-4-44-200000000-2222-2-22−23−2323232323−23−2300000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i2−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000000000
χ8544-444-4-4-4-204i4i−4i−4i000-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000000−2i2−2i22i22i22222−22−220000i2i2i2i2−i2−i2−i2−i2−2−2−2−2222200000000000000000000000000000000000000
χ8644-444-4-4-4-204i4i−4i−4i000-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000002i22i2−2i2−2i2−22−2222220000−i2−i2−i2−i2i2i2i2i22222−2−2−2−200000000000000000000000000000000000000
χ8744-444-4-4-4-20−4i−4i4i4i000-2-2-222222i2i2i2i−2i−2i−2i−2i0000000000−2i2−2i22i22i2−22−2222220000i2i2i2i2−i2−i2−i2−i22222−2−2−2−200000000000000000000000000000000000000
χ8844-444-4-4-4-20−4i−4i4i4i000-2-2-222222i2i2i2i−2i−2i−2i−2i00000000002i22i2−2i2−2i22222−22−220000−i2−i2−i2−i2i2i2i2i2−2−2−2−2222200000000000000000000000000000000000000
χ8944-4-4-444-4440000-4-444-4-44-4-4400000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000
χ9044-4-4-444-4-240000-4-44-222-222-2−2i3−2i32i32i3−2i3−2i32i32i30000002i32i3−2i3−2i3000000002-2-22000000000000000000000000000000000000000000000000000000
χ9144-4-4-444-4-240000-4-44-222-222-22i32i3−2i3−2i32i32i3−2i3−2i3000000−2i3−2i32i32i3000000002-2-22000000000000000000000000000000000000000000000000000000
χ924-444-44-4-4404i−4i−4i4i000-4-4444-4-44i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-440−4i4i4i−4i000-4-4444-4-4−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-44-4-4-204i−4i−4i4i00022-2-2-222−2i2i2i−2i2i−2i−2i2i00000000000000000000006−6−66−666−6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000000000
χ954-444-44-4-4-204i−4i−4i4i00022-2-2-222−2i2i2i−2i2i−2i−2i2i0000000000000000000000−666−66−6−66−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000
χ964-444-44-4-4-20−4i4i4i−4i00022-2-2-2222i−2i−2i2i−2i2i2i−2i00000000000000000000006−6−66−666−6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000
χ974-444-44-4-4-20−4i4i4i−4i00022-2-2-2222i−2i−2i2i−2i2i2i−2i0000000000000000000000−666−66−6−66i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000000000
χ984-44-44-44-4440000-44-4-44-4-44-44000000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000
χ994-44-44-44-4-240000-44-42-222-22-2−2i32i3−2i32i3−2i32i3−2i32i30000002i3−2i32i3−2i300000000-22-22000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-4-240000-44-42-222-22-22i3−2i32i3−2i32i3−2i32i3−2i3000000−2i32i3−2i32i300000000-22-22000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-44-44-4-44422-222-2-2-222-2-222-2-4400002-2-2200000000-2-222000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-4-44-44-44422-222-2-22-2-222-2-224-40000-222-200000000-2-222000000000000000000000000000000000000000000000000000000
χ1034-4-4-444-44400000000-44-44-44-4000000000000000000000022−22−222200000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ1044-4-4-444-44400000000-44-44-44-40000000000000000000000−222222−22000000000000−2222−222222−2222−2200000000000000000000000000000000000000
χ1054-4-4-444-44-2000000002-22-22-2223−2323−23−2323−23230000000000000022−22−22220000−66−666−66−6−22−222−22−200000000000000000000000000000000000000
χ1064-4-4-444-44-2000000002-22-22-2223−2323−23−2323−232300000000000000−222222−2200006−66−6−66−662−22−2−22−2200000000000000000000000000000000000000
χ1074-4-4-444-44-2000000002-22-22-22−2323−232323−2323−230000000000000022−22−222200006−66−6−66−66−22−222−22−200000000000000000000000000000000000000
χ1084-4-4-444-44-2000000002-22-22-22−2323−232323−2323−2300000000000000−222222−220000−66−666−66−62−22−2−22−2200000000000000000000000000000000000000

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