Finite Group Databasebeta

← Group #10845310

Character table — Group #10845310

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242422224444888888884444121212121212121222444444
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
χ911111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1
χ1011111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111
χ1111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-111-1-111-1-1-1-1-1-11111
χ1211111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-111-1-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111-1-111
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-111-1-111
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-111-1-111-1-1
χ17222222222-2-22222-2-2222222200000000-2-20000-2-22222-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ18222222222-2-22222-2-2222222200000000-2-20000-2-22222-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-2000000000000000022-2-2-2-2220000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-20000000000000000-2-22222-2-20000000000000000000000000000
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
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-11100000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-100000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
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χ31222-2-2-22-220022-2-2002-2-22-22-2i2i2i2i2−i2−i2−i2−i200i2i2−i2−i20022-2-2000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i200000000000000000000
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χ3722-2-22-2-2222-20000-2222-2-22-2-222-2-222-2-20000002-2000000002-222-2-222-2-200000000000000000000000000000000000000002i−2i2i−2i
χ3822-2-22-2-2222-20000-2222-2-22-2-222-2-222-2-20000002-2000000002-222-2-222-2-20000000000000000000000000000000000000000−2i2i−2i2i
χ3922-2-22-2-2222-20000-2222-2-22-2-2-2-222-2-2220000002-2000000002-2-2-222-2-22200000000000000000000000000000000000000002i−2i−2i2i
χ4022-2-22-2-2222-20000-2222-2-22-2-2-2-222-2-2220000002-2000000002-2-2-222-2-2220000000000000000000000000000000000000000−2i2i2i−2i
χ412-22-2-22-2222-200002-2-2-22-222-22i−2i2i−2i2i−2i2i−2i0000002-200000000-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002-22i−2i0000
χ422-22-2-22-2222-200002-2-2-22-222-22i−2i2i−2i2i−2i2i−2i0000002-200000000-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000-22−2i2i0000
χ432-22-2-22-2222-200002-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i0000002-200000000-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002-2−2i2i0000
χ442-22-2-22-2222-200002-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i0000002-200000000-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000-222i−2i0000
χ452-2-22-2-2222222-22-2-2-2-2-2-222-222i−2i−2i2i2i−2i−2i2i2-22i−2i2i−2i222-22-222-2-2-2-22i−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−2i2i222-22-222-2-2-2-2−2i2i2i−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−2i2i22-22-22-2-222-2-22i−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−2i22-22-22-2-222-2-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ492-2-22-2-2222-2-22-22-222-2-2-222-2200000000-220000-2-22-22-2-2-222220000000000000000000000002-22-22-22-200000000000000000000
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χ522-2-22-2-2222-2-2-22-2222-2-2-222-22000000002-20000-2-2-22-2222-2-222000000000000000000000000-22-222-22-200000000000000000000
χ532-2-22-2-222-1222-22-2-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i2-22i−2i2i−2i-1-1-11-11-1-11111−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-1-1-11-11-1-11111−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-1-1-11-11-1-11111i−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-1-1-11-11-1-11111i−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−2i2i-1-11-11-111-1-111−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−2i2i-1-11-11-111-1-111−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−2i-1-11-11-111-1-111i−i−iii−i−ii−i−iii−i−iii000000000000000000003−3−33i3−i3−i3i300000000
χ602-2-22-2-222-122-22-22-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i-222i−2i2i−2i-1-11-11-111-1-111i−i−iii−i−ii−i−iii−i−iii00000000000000000000−333−3−i3i3i3−i300000000
χ612-2-2-2222-22002-2-2200-2222-2-2-22−2−22−222−2002−2−22002-2-220000002−2−22−222−222−2−2−2−22200002i−2i2i−2i−i2i2i2−i2−i2i2i2−i200000000000000000000
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χ874-4444-4-4-4400000000-44-4-4-444−2222−222222−2222−22000000000000000000−2222−222222−2222−2200000000000000000000000000000000000000000000
χ884-4444-4-4-4-2000000002-2222-2-222−2222−22−2222−2222000000000000−2i32i32i3−2i300−22−222−22−2i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ894-4444-4-4-4-2000000002-2222-2-222−2222−22−2222−22220000000000002i3−2i3−2i32i300−22−222−22−2−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ904-4444-4-4-4-2000000002-2222-2-2−2222−222222−2222−22000000000000−2i32i32i3−2i3002−22−2−22−22−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ914-4444-4-4-4-2000000002-2222-2-2−2222−222222−2222−220000000000002i3−2i3−2i32i3002−22−2−22−22i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ924-44-4-44-444-440000-44-4-44-444-400000000000000-44000000004-40000000000000000000000000000000000000000000000000000
χ934-44-4-44-44-24-400004-422-22-2-224i−4i4i−4i4i−4i4i−4i000000-22000000002-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ944-44-4-44-44-24-400004-422-22-2-22−4i4i−4i4i−4i4i−4i4i000000-22000000002-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ954-44-4-44-44-2-440000-4422-22-2-22000000000000002-200000000-220000000023−23−2323−232323−23000000000000000000000000000000000000
χ964-44-4-44-44-2-440000-4422-22-2-22000000000000002-200000000-2200000000−232323−2323−23−2323000000000000000000000000000000000000
χ974-4-44-4-444-2-4-44-44-444222-2-22-200000000-44000022-22-2222-2-2-2-20000000000000000000000000000000000000000000000000000
χ984-4-44-4-444-2-4-4-44-4444222-2-22-2000000004-40000222-22-2-2-222-2-20000000000000000000000000000000000000000000000000000
χ994-4-4-4444-4-2004-4-44002-2-2-222222−22−2222−222222−220022−22−222200-222-2000000−222−22−2−22−2−22222−2−2000000000000000000000000000000000000
χ1004-4-4-4444-4-2004-4-44002-2-2-2222−222222−2222−22−222200−222222−2200-222-20000002−2−22−222−222−2−2−2−222000000000000000000000000000000000000
χ1014-4-4-4444-4-200-444-4002-2-2-222222−22−2222−222222−2200−222222−22002-2-22000000−222−22−2−2222−2−2−2−222000000000000000000000000000000000000
χ1024-4-4-4444-4-200-444-4002-2-2-2222−222222−2222−22−22220022−22−2222002-2-220000002−2−22−222−2−2−22222−2−2000000000000000000000000000000000000

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