Finite Group Databasebeta

← Group #10844700

Character table — Group #10844700

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242444444444888888884444121212121212121222444444
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
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-111
χ911111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1
χ1011111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111
χ1111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-111-1-111-1-1-1-1-1-11111
χ1211111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-111-1-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111-1-111
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-111-1-111
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-111-1-111-1-1
χ17222222222-2-22222-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ18222222222-2-22222-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-2220000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-20000000000000000-2-22222-2-20000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-11100000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-100000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
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χ32222-2-2-2-2220022-2-2002-2-22-22-2i2i2i2i2−i2−i2−i2−i200i2i2−i2−i222-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-22-22−i2−i2i2i2−i2−i2i2i200000000000000000000
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χ3822-222-2-2-222-20000-2222-2-2-2-222i2i−2i−2i2i2i−2i−2i000000000000002-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000-22−2i2i0000
χ3922-222-2-2-222-20000-2222-2-2-2-22−2i−2i2i2i−2i−2i2i2i000000000000002-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000002-2−2i2i0000
χ4022-222-2-2-222-20000-2222-2-2-2-22−2i−2i2i2i−2i−2i2i2i000000000000002-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000-222i−2i0000
χ412-222-22-2-222-200002-2-2-22-2-2222-22-22-22-2000000000000002-2-222-22-22-22-200000000000000000000000000000000000000002i−2i2i−2i
χ422-222-22-2-222-200002-2-2-22-2-2222-22-22-22-2000000000000002-2-222-22-22-22-20000000000000000000000000000000000000000−2i2i−2i2i
χ432-222-22-2-222-200002-2-2-22-2-222-22-22-22-22000000000000002-2-22-22-22-22-2200000000000000000000000000000000000000002i−2i−2i2i
χ442-222-22-2-222-200002-2-2-22-2-222-22-22-22-22000000000000002-2-22-22-22-22-220000000000000000000000000000000000000000−2i2i2i−2i
χ452-2-22-2-2222222-22-2-2-2-2-2-222-222i−2i−2i2i2i−2i−2i2i2-22i−2i2i−2i2-22-222-2-222-2-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ462-2-22-2-2222222-22-2-2-2-2-2-222-22−2i2i2i−2i−2i2i2i−2i2-2−2i2i−2i2i2-22-222-2-222-2-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ472-2-22-2-222222-22-22-2-2-2-2-222-222i−2i−2i2i2i−2i−2i2i-22−2i2i−2i2i-22-22-2-22222-2-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ482-2-22-2-222222-22-22-2-2-2-2-222-22−2i2i2i−2i−2i2i2i−2i-222i−2i2i−2i-22-22-2-22222-2-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ492-2-22-2-2222-2-22-22-222-2-2-222-2200000000-2200002-22-2-2-222-2-2220000000000000000000000002-22-22-22-200000000000000000000
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χ532-2-22-2-222-1222-22-2-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i2-22i−2i2i−2i-11-11-1-111-1-111−iii−i−iii−i−i−iii−i−iii000000000000000000003−33−3−i3i3−i3i300000000
χ542-2-22-2-222-1222-22-2-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i2-22i−2i2i−2i-11-11-1-111-1-111−iii−i−iii−i−i−iii−i−iii00000000000000000000−33−33i3−i3i3−i300000000
χ552-2-22-2-222-1222-22-2-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i2-2−2i2i−2i2i-11-11-1-111-1-111i−i−iii−i−iiii−i−iii−i−i000000000000000000003−33−3i3−i3i3−i300000000
χ562-2-22-2-222-1222-22-2-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i2-2−2i2i−2i2i-11-11-1-111-1-111i−i−iii−i−iiii−i−iii−i−i00000000000000000000−33−33−i3i3−i3i300000000
χ572-2-22-2-222-122-22-22-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i-22−2i2i−2i2i1-11-111-1-1-1-111−iii−i−iii−iii−i−iii−i−i000000000000000000003−3−33−i3i3i3−i300000000
χ582-2-22-2-222-122-22-22-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i-22−2i2i−2i2i1-11-111-1-1-1-111−iii−i−iii−iii−i−iii−i−i00000000000000000000−333−3i3−i3−i3i300000000
χ592-2-22-2-222-122-22-22-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i-222i−2i2i−2i1-11-111-1-1-1-111i−i−iii−i−ii−i−iii−i−iii000000000000000000003−3−33i3−i3−i3i300000000
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χ612-2-2-222-222002-2-2200-2222-2-2-22−2−22−222−2002−2−222-2-22000000002−2−22−222−222−2−2−2−2222i−2i2i−2i0000−i2i2i2−i2−i2i2i2−i200000000000000000000
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χ894-444-44-4-4-2-440000-4422-222-2-200000000000000000000002-2-2200000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000
χ904-444-44-4-4-2-440000-4422-222-2-200000000000000000000002-2-22000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000
χ914-44-44-44-4400000000-44-4-444-4−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000000000
χ924-44-44-44-4400000000-44-4-444-42i2−2i22i2−2i2−2i22i2−2i22i20000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000000000
χ934-44-44-44-4-2000000002-222-2-22−2i22i2−2i22i22i2−2i22i2−2i20000000000−2i32i32i3−2i30000i2−i2i2−i2−i2i2−i2i26−6−66−666−6000000000000000000000000000000000000
χ944-44-44-44-4-2000000002-222-2-22−2i22i2−2i22i22i2−2i22i2−2i200000000002i3−2i3−2i32i30000i2−i2i2−i2−i2i2−i2i2−666−66−6−66000000000000000000000000000000000000
χ954-44-44-44-4-2000000002-222-2-222i2−2i22i2−2i2−2i22i2−2i22i20000000000−2i32i32i3−2i30000−i2i2−i2i2i2−i2i2−i2−666−66−6−66000000000000000000000000000000000000
χ964-44-44-44-4-2000000002-222-2-222i2−2i22i2−2i2−2i22i2−2i22i200000000002i3−2i3−2i32i30000−i2i2−i2i2i2−i2i2−i26−6−66−666−6000000000000000000000000000000000000
χ974-4-44-4-444-2-4-44-44-444222-2-22-200000000-440000-22-2222-2-222-2-20000000000000000000000000000000000000000000000000000
χ984-4-44-4-444-2-4-4-44-4444222-2-22-2000000004-400002-22-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ994-4-4-444-44-2004-4-44002-2-2-222222−22−2222−222222−220022−22−2222-222-200000000−222−22−2−22−2−22222−2−2000000000000000000000000000000000000
χ1004-4-4-444-44-2004-4-44002-2-2-2222−222222−2222−22−222200−222222−22-222-2000000002−2−22−222−222−2−2−2−222000000000000000000000000000000000000
χ1014-4-4-444-44-200-444-4002-2-2-222222−22−2222−222222−2200−222222−222-2-2200000000−222−22−2−2222−2−2−2−222000000000000000000000000000000000000
χ1024-4-4-444-44-200-444-4002-2-2-2222−222222−2222−22−22220022−22−22222-2-22000000002−2−22−222−2−2−22222−2−2000000000000000000000000000000000000

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