Finite Group Databasebeta

← Group #10702211

Character table — Group #10702211

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666666666666688888888121212121212121224242424242424242424242424242424222244446666666612121212121212124444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
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χ172222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002i−2i2i−2i
χ182222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
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χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-2-2-2-2222-22-2-2-2222-2-2-2-2222-2-2-2-22222-2-222-2-222-2-22-2-222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
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χ2522222222-2-2-2-22-2-22-2222-222-2-2-2-2222-2-2-2-22200000000-2-222-222-200000000000000000000000000000000000000002-22-2000000000000
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χ2722222222-2-2-2-2-122-22-2-2-22-1-11111-1-1-11111-1-122-2-222-2-2-1-111-111-1-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2822222222-2-2-2-2-122-22-2-2-22-1-11111-1-1-11111-1-122-2-222-2-2-1-111-111-1-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ2922222222-2-2-2-2-122-22-2-2-22-1-11111-1-1-11111-1-1-2-222-2-222-1-111-111-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3022222222-2-2-2-2-122-22-2-2-22-1-11111-1-1-11111-1-1-2-222-2-222-1-111-111-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
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χ43222-22-2-2-2-22-22-12-2-22-222-21111-1-1-1-1111-1-1-1100000000-111-1-11-1133−3−3−3−33333−3−3−3−33300002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−iii−i−iii−i0000000000000000
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χ482-2-2222-2-22-2-2222-22-2-2-222-2-222-2-2-2-22-2-22222000000002-22-2-2-2220000000000000000-222-20000-22-222-22-2000000000000000000000000
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χ552-2-2222-2-2-222-222-2-2-222-22-2-2-2-222-2-2222-2-222000000002-2-22-22-22000000000000000000002-2-22000000002-2-22-222-20000000000000000
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χ652-2-2-22-22222-2-2-1222-2-22-2-2-1-1-1-1-1-11111111-112i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii0000000000000000
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χ8344-44-4-44-40000-200000000-22−2i32i3−2i32i3-22-2−2i32i3−2i32i32200−2i22i200−2i22i2000000006−66−6i2−i2i2−i26−66−6i2−i2i2−i20000000000000000000000000000000000000000
χ8444-44-4-44-40000-200000000-22−2i32i3−2i32i3-22-2−2i32i3−2i32i322002i2−2i2002i2−2i200000000−66−66−i2i2−i2i2−66−66−i2i2−i2i20000000000000000000000000000000000000000
χ8544-44-4-44-40000-200000000-222i3−2i32i3−2i3-22-22i3−2i32i3−2i32200−2i22i200−2i22i200000000−66−66i2−i2i2−i2−66−66i2−i2i2−i20000000000000000000000000000000000000000
χ8644-44-4-44-40000-200000000-222i3−2i32i3−2i3-22-22i3−2i32i3−2i322002i2−2i2002i2−2i2000000006−66−6−i2i2−i2i26−66−6−i2i2−i2i20000000000000000000000000000000000000000
χ8744-4-4-44-440000400000000-4400004-4-40000-4422−220022−22000000000022−22−2222000022−22−222200000000000000000000000000000000000000000000
χ8844-4-4-44-440000400000000-4400004-4-40000-44−222200−22220000000000−222222−220000−222222−2200000000000000000000000000000000000000000000
χ8944-4-4-44-440000-2000000002-2−2i32i32i3−2i3-222−2i32i32i3−2i32-222−220022−220000000000−222−2i6−i6−i6i6−222−2i6−i6−i6i60000000000000000000000000000000000000000
χ9044-4-4-44-440000-2000000002-2−2i32i32i3−2i3-222−2i32i32i3−2i32-2−222200−222200000000002−2−22−i6i6i6−i62−2−22−i6i6i6−i60000000000000000000000000000000000000000
χ9144-4-4-44-440000-2000000002-22i3−2i3−2i32i3-2222i3−2i3−2i32i32-222−220022−220000000000−222−2−i6i6i6−i6−222−2−i6i6i6−i60000000000000000000000000000000000000000
χ9244-4-4-44-440000-2000000002-22i3−2i3−2i32i3-2222i3−2i3−2i32i32-2−222200−222200000000002−2−22i6−i6−i6i62−2−22i6−i6−i6i60000000000000000000000000000000000000000
χ934-444-4-4-440000400000000-440000-4440000-4-4−2i22i2002i2−2i20000000000−2i22i22i2−2i200002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ944-444-4-4-440000400000000-440000-4440000-4-42i2−2i200−2i22i200000000002i2−2i2−2i22i20000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ954-444-4-4-440000-2000000002-2−2i32i32i3−2i32-2-22i3−2i3−2i32i322−2i22i2002i2−2i20000000000i2−i2−i2i26−6−66−i2i2i2−i2−666−60000000000000000000000000000000000000000
χ964-444-4-4-440000-2000000002-2−2i32i32i3−2i32-2-22i3−2i3−2i32i3222i2−2i200−2i22i20000000000−i2i2i2−i2−666−6i2−i2−i2i26−6−660000000000000000000000000000000000000000
χ974-444-4-4-440000-2000000002-22i3−2i3−2i32i32-2-2−2i32i32i3−2i322−2i22i2002i2−2i20000000000i2−i2−i2i2−666−6−i2i2i2−i26−6−660000000000000000000000000000000000000000
χ984-444-4-4-440000-2000000002-22i3−2i3−2i32i32-2-2−2i32i32i3−2i3222i2−2i200−2i22i20000000000−i2i2i2−i26−6−66i2−i2−i2i2−666−60000000000000000000000000000000000000000
χ994-44-4-444-400004000000004-40000-44-40000-440022−2200−222200000000000022−2222−220000−2222−22220000000000000000000000000000000000000000
χ1004-44-4-444-400004000000004-40000-44-40000-4400−22220022−22000000000000−2222−2222000022−2222−220000000000000000000000000000000000000000
χ1014-44-4-444-40000-200000000-22−2i32i3−2i32i32-222i3−2i32i3−2i32-20022−2200−222200000000i6−i6i6−i6−22−22−i6i6−i6i62−22−20000000000000000000000000000000000000000
χ1024-44-4-444-40000-200000000-22−2i32i3−2i32i32-222i3−2i32i3−2i32-200−22220022−2200000000−i6i6−i6i62−22−2i6−i6i6−i6−22−220000000000000000000000000000000000000000
χ1034-44-4-444-40000-200000000-222i3−2i32i3−2i32-22−2i32i3−2i32i32-20022−2200−222200000000−i6i6−i6i6−22−22i6−i6i6−i62−22−20000000000000000000000000000000000000000
χ1044-44-4-444-40000-200000000-222i3−2i32i3−2i32-22−2i32i3−2i32i32-200−22220022−2200000000i6−i6i6−i62−22−2−i6i6−i6i6−22−220000000000000000000000000000000000000000
χ1054-4-4444-4-44-4-44-2-44-4444-4-422-2-22222-222-2-2-2-2000000002-22-2-2-22200000000000000000000000000000000000000000000000000000000
χ1064-4-4444-4-4-444-4-2-4444-4-44-42222-2-222-2-2-222-2-2000000002-2-22-22-2200000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-44444-4-4-2-4-4-444-444-2-2-2-2-2-22222222-22000000002222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-4-444-2-4-444-44-44-2-22222222-2-2-2-2-220000000022-2-2-222-200000000000000000000000000000000000000000000000000000000

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