Finite Group Databasebeta

← Group #10693497

Character table — Group #10693497

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242444444444888888884444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1
χ91-1-1111-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-11-1i−iii−i−i11-1-1ii−i−i11-1-1
χ101-1-1111-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-1-11−ii−i−iii-1-111−i−iii-1-111
χ111-1-1111-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-111111-1i−iii−i−i11-1-1−i−iii-1-111
χ121-1-1111-1-111-11-1-11-11-1-1-111-11iiii−i−i−i−i1-1ii−i−i1111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-11111-11−ii−i−iii-1-111ii−i−i11-1-1
χ131-1-1111-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-1-1-1-111111-1−ii−i−iii11-1-1ii−i−i-1-111
χ141-1-1111-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-1-1-1-11111-11i−iii−i−i-1-111−i−iii11-1-1
χ151-1-1111-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1111-1-1-1-11-1−ii−i−iii11-1-1−i−iii11-1-1
χ161-1-1111-1-111-11-1-11-11-1-1-111-11−i−i−i−iiiii1-1−i−iii1111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1111-1-1-1-1-11i−iii−i−i-1-111ii−i−i-1-111
χ1722222222222-2-2-222-2222222200000000-2-2000022-2-222-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-222-2222222200000000-2-2000022-2-222-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222-2-2222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2222-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-2222222200000000220000-2-222-2-222-2-2-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
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χ2322222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2422222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2522222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-21111-1-1-1-100000000
χ2622222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-222-1-1-1-1111100000000
χ2722222222-1-2-2222-2-22-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2822222222-1-2-2222-2-22-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2922222222-1-2-2222-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-1-2-2222-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ31222-2-22-2-2200-22-200222-2-2-2-222i2i−2i−2i2i2i−2i−2i000000000000002-22-22i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000000−i2i2−i2i22−22−2
χ32222-2-22-2-2200-22-200222-2-2-2-222i2i−2i−2i2i2i−2i−2i000000000000002-22-22i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000000i2−i2i2−i2−22−22
χ33222-2-22-2-2200-22-200222-2-2-2-22−2i−2i2i2i−2i−2i2i2i000000000000002-22-2−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000000000−i2i2−i2i2−22−22
χ34222-2-22-2-2200-22-200222-2-2-2-22−2i−2i2i2i−2i−2i2i2i000000000000002-22-2−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000000000i2−i2i2−i22−22−2
χ3522-22-2-22-2222000-2-202-222-2-2-22−22−22−22−2002−22−22-2002-20000002−22−222−2−22−22−222−2−22-22-200002−22−22−22−200000000000000000000
χ3622-22-2-22-2222000-2-202-222-2-2-22−22−22−22−2002−22−22-2002-20000002−22−222−2−22−22−222−2−2-22-220000−22−22−22−2200000000000000000000
χ3722-22-2-22-2222000-2-202-222-2-2-2−22−22−22−2200−22−222-2002-2000000−22−22−2−222−22−22−2−2222-22-20000−22−22−22−2200000000000000000000
χ3822-22-2-22-2222000-2-202-222-2-2-2−22−22−22−2200−22−222-2002-2000000−22−22−2−222−22−22−2−222-22-2200002−22−22−22−200000000000000000000
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χ4022-22-2-22-22-2-20002202-222-2-2-22−22−22−22−200−22−22-2200-220000002−22−2−2−2222−22−2−2−2220000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i200000000000000000000
χ4122-22-2-22-22-2-20002202-222-2-2-2−22−22−22−22002−22−2-2200-22000000−22−2222−2−2−22−2222−2−200002i−2i2i−2ii2−i2−i2i2i2−i2−i2i200000000000000000000
χ4222-22-2-22-22-2-20002202-222-2-2-2−22−22−22−22002−22−2-2200-22000000−22−2222−2−2−22−2222−2−20000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i200000000000000000000
χ432-222-2-2-2222-2000-220-22-22-22-2−i2i2−i2i2i2−i2i2−i200−i2i2i2−i22-200-22000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i22i−2i−2i2i0000−22−222−22−200000000000000000000
χ442-222-2-2-2222-2000-220-22-22-22-2−i2i2−i2i2i2−i2i2−i200−i2i2i2−i22-200-22000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2−2i2i2i−2i00002−22−2−22−2200000000000000000000
χ452-222-2-2-2222-2000-220-22-22-22-2i2−i2i2−i2−i2i2−i2i200i2−i2−i2i22-200-22000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i22i−2i−2i2i00002−22−2−22−2200000000000000000000
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χ522-2-2222-2-222-2-2222-2-2-2-2-222-2200000000-22000022-2-2-2-222-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ532-2-2222-2-22-222-2-2-222-2-2-222-222i2i2i2i−2i−2i−2i−2i-22−2i−2i2i2i-2-2-2-2222222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ542-2-2222-2-22-222-2-2-222-2-2-222-22−2i−2i−2i−2i2i2i2i2i-222i2i−2i−2i-2-2-2-2222222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ552-2-2222-2-22-22-222-22-2-2-2-222-22000000002-20000-2-22222-2-2-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ562-2-2222-2-22-22-222-22-2-2-2-222-22000000002-20000-2-22222-2-2-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
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χ592-2-2222-2-2-12-22-2-22-22111-1-11-1−2i−2i−2i−2i2i2i2i2i2-2−2i−2i2i2i-1-1-1-11111-1-111iiiiiiii−i−i−i−i−i−i−i−i00000000000000002-2−2i2iii−i−i-1-11100000000
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χ864-444-4-4-44-24-4000-4402-22-22-22−2i22i2−2i22i22i2−2i22i2−2i200−2i22i22i2−2i2-22002-2000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2000000000000000000000000000000000000
χ874-444-4-4-44-24-4000-4402-22-22-222i2−2i22i2−2i2−2i22i2−2i22i2002i2−2i2−2i22i2-22002-2000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ884-444-4-4-44-2-440004-402-22-22-22−2i22i2−2i22i22i2−2i22i2−2i2002i2−2i2−2i22i22-200-22000000i2−i2i2−i2−i2−i2i2i2−i2i2−i2i2i2i2−i2−i2000000000000000000000000000000000000
χ894-444-4-4-44-2-440004-402-22-22-222i2−2i22i2−2i2−2i22i2−2i22i200−2i22i22i2−2i22-200-22000000−i2i2−i2i2i2i2−i2−i2i2−i2i2−i2−i2−i2i2i2000000000000000000000000000000000000
χ904-44-44-44-4400000000-444-44-4-422−22−2222−222222−2200000000000000000022−22−22220000−222222−220000000000000000000000000000000000000000
χ914-44-44-44-4400000000-444-44-4-4−222222−2222−22−2222000000000000000000−222222−22000022−22−22220000000000000000000000000000000000000000
χ924-44-44-44-4-2000000002-2-22-22222−22−2222−222222−2200000000−2i32i3002i3−2i30000−222−2i6−i6−i6i62−2−22−i6i6i6−i6000000000000000000000000000000000000
χ934-44-44-44-4-2000000002-2-22-22222−22−2222−222222−22000000002i3−2i300−2i32i30000−222−2−i6i6i6−i62−2−22i6−i6−i6i6000000000000000000000000000000000000
χ944-44-44-44-4-2000000002-2-22-222−222222−2222−22−222200000000−2i32i3002i3−2i300002−2−22−i6i6i6−i6−222−2i6−i6−i6i6000000000000000000000000000000000000
χ954-44-44-44-4-2000000002-2-22-222−222222−2222−22−2222000000002i3−2i300−2i32i300002−2−22i6−i6−i6i6−222−2−i6i6i6−i6000000000000000000000000000000000000
χ964-4-4444-4-4-24-4-4444-4-4222-2-22-200000000-440000-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-44-444-44-4222-2-22-2000000004-4000022-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ984-4-4-4-444440044-400-4-4-44-4-4440000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-20044-400-422-222-2-200000000000000000000002-2-220000−2i32i3−2i32i300002i3−2i32i3−2i3000000000000000000000000000000000000
χ1004-4-4-4-4444-20044-400-422-222-2-200000000000000000000002-2-2200002i3−2i32i3−2i30000−2i32i3−2i32i3000000000000000000000000000000000000
χ1014-4-4-4-4444-200-4-4400422-222-2-244-4-4-4-44400000000000000-222-2-2-222000022-2-20000000000000000000000000000000000000000
χ1024-4-4-4-4444-200-4-4400422-222-2-2-4-44444-4-400000000000000-222-222-2-20000-2-2220000000000000000000000000000000000000000

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