Finite Group Databasebeta

← Group #10733089

Character table — Group #10733089

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order122222222222222236666666666666662222444444444444121212121212121212121212121212121212121212121212444444666612121212121212121212121244444444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ911111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
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χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ25222222-2-22-2-2-2-2-2-22222222-2-2-2-222-2-2-2-2000000002i2i−2i−2i0000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000022-2-2000000002i−2i00
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χ27222222-2-22-2-2-2-2-2-22222222-2-2-2-222-2-2-2-200000000−2i−2i2i2i000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000022-2-200000000−2i2i00
χ28222222-2-22-2-2-2-2-2-22222222-2-2-2-222-2-2-2-200000000−2i−2i2i2i000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000-2-222000000002i−2i00
χ292222-2-22-2-22-2-2-222-22222-2-222-2-2-2-222-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000002i2i−2i−2i00002-20000000000
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χ4622-2-2-2-22-22-22-222-2222-2-2-2-2-222-222-222-200000000000022-2-2000000000000000022-2-222-2-200000000000000000000000000-22-220000000000-22
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χ5122-2-2-2-2-2222-22-2-22222-2-2-2-22-2-22222-2-220000-222-200000000-2-22222-2-20000000000000000000000000000000000000000002-2-22000000-220000
χ5222-2-2-2-2-2222-22-2-22222-2-2-2-22-2-22222-2-220000-222-200000000-2-22222-2-2000000000000000000000000000000000000000000-222-20000002-20000
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χ812-2-222-2-22-2-2-2-22222-111-1-11-11-1-11-11-111-222-2000000002-2-223−3−333−3−33−333−3−333−3-11-111-11-10000-221-1-11−333−33−3−331-1-1100000000000000000000
χ822-2-222-2-22-2-2-2-22222-111-1-11-11-1-11-11-111-222-2000000002-2-22−333−3−333−33−3−333−3−33-11-111-11-10000-221-1-113−3−33−333−31-1-1100000000000000000000
χ832-2-222-2-22-2-2-2-22222-111-1-11-11-1-11-11-111-222-200000000-222-23−3−333−3−333−3−333−3−331-11-1-11-1100002-21-1-11−333−3−333−3-111-100000000000000000000
χ842-2-222-2-22-2-2-2-22222-111-1-11-11-1-11-11-111-222-200000000-222-2−333−3−333−3−333−3−333−31-11-1-11-1100002-21-1-113−3−333−3−33-111-100000000000000000000
χ85444444-4-44-4-4-4-4-4-44-2-2-2-2-2-22222-2-22222000000004i4i−4i−4i000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000
χ86444444-4-44-4-4-4-4-4-44-2-2-2-2-2-22222-2-2222200000000−4i−4i4i4i0000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000
χ874444-4-44-4-44-4-4-444-4-2-2-2-222-2-22222-2-22200004i4i−4i−4i00000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000
χ884444-4-44-4-44-4-4-444-4-2-2-2-222-2-22222-2-2220000−4i−4i4i4i000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ894444-4-4-44-4-4444-4-4-44444-4-4-4-444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-44-4-4444-4-4-4-2-2-2-22222-2-22222-2-2000000000000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000
χ914444-4-4-44-4-4444-4-4-4-2-2-2-22222-2-22222-2-200000000000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000
χ9244-4-44444-4-4-44-44-4-444-4-444-44-44-4-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-44444-4-4-44-44-4-4-2-222-2-22-22-2222-22-20000000000000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000
χ9444-4-44444-4-4-44-44-4-4-2-222-2-22-22-2222-22-2000000000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000
χ9544-4-4-4-44-44-44-444-44-2-222222-2-22-2-22-2-2200000000000044-4-40000000000000000-2-222-2-222000000000000000000000000000000000000000000
χ9644-4-4-4-44-44-44-444-44-2-222222-2-22-2-22-2-22000000000000-4-444000000000000000022-2-222-2-2000000000000000000000000000000000000000000
χ9744-4-4-4-4-4444-44-4-444-2-22222-222-2-2-2-222-200004-4-4400000000-2-22222-2-20000000000000000000000000000000000000000000000000000000000
χ9844-4-4-4-4-4444-44-4-444-2-22222-222-2-2-2-222-20000-444-40000000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000
χ994-44-44-4-44444-4-44-4-4-22-22-22222-2-22-2-2-22000000004-4-44000000000000-22-222-22-200000000000000000000000000000000000000000000000000
χ1004-44-44-4-44444-4-44-4-4-22-22-22222-2-22-2-2-2200000000-444-40000000000002-22-2-22-2200000000000000000000000000000000000000000000000000
χ1014-44-4-4444-4-44-4-4-4444-44-4-4444-44-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-44-4-4444-4-44-4-4-444-22-222-2-2-22-22-222-22000000000000000023−2323−23−2323−23230000000000000000000000000000000000000000000000000000000000
χ1034-44-4-4444-4-44-4-4-444-22-222-2-2-22-22-222-220000000000000000−2323−232323−2323−230000000000000000000000000000000000000000000000000000000000
χ1044-44-4-44-4-4-44-4444-44-22-222-222-222-2-2-22-20000000000004-44-40000000000000000-222-22-2-22000000000000000000000000000000000000000000
χ1054-44-4-44-4-4-44-4444-44-22-222-222-222-2-2-22-2000000000000-44-4400000000000000002-2-22-222-2000000000000000000000000000000000000000000
χ1064-4-444-44-4-4444-4-4-444-4-444-4-44-4-4-444-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-444-44-4-4444-4-4-44-222-2-222-2222-2-22-2-2000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ1084-4-444-44-4-4444-4-4-44-222-2-222-2222-2-22-2-20000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ1094-4-44-444444-4-44-4-4-44-4-44-44-44444-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-44-444444-4-44-4-4-4-222-22-22-2-2-2-22-22220000000000000000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000
χ1114-4-44-444444-4-44-4-4-4-222-22-22-2-2-2-22-222200000000000000000000000000000000−232323−23−232323−23000000000000000000000000000000000000000000
χ1124-4-44-44-4-44-444-444-44-4-44-444-4-4-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-44-4-44-444-444-4-222-22-2-2222-222-2-2-20000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1144-4-44-44-4-44-444-444-4-222-22-2-2222-222-2-2-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000

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