Finite Group Databasebeta

← Group #10845319

Character table — Group #10845319

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order12222222344446666666888888882244666688881212121212121212242424242424242424242424242424244444444422444488888888441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-11
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1111-1
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-11111-1-1-11
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-11111-1-11-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-111-11
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-11111-1-1-1-11-111-1-1-1-111-1-111-11
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-11111-1-111-1-11-1
χ17222222222-2-2-2-222222220000000022-2-222220000-2-2-2-2-2-2-2-200000000000000002222000022-2-2-2-2000000000000000000000000
χ18222222222-2-2-2-222222220000000022-2-222220000-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000-2-22222000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-222-2-2-2-20000-2-2-22222-2000000000000000022220000-2-222-2-2000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-222-2-2-2-20000-2-2-22222-20000000000000000-2-2-2-2000022-2-222000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000022-1-1-1-1-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-211111111000000
χ2322222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000222200000000000000-2-2-1-1-1-11111000000
χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000-2-2-2-200000000000000221111-1-1-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000022-2-200000000000000-22-1-111-1-111000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-222000000000000002-211-1-111-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-1000022-2-2000000000000002-2-1-11111-1-1000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-10000-2-22200000000000000-2211-1-1-1-111000000
χ292222-2-2-2-220000222-2-2-2-22222−2−2−2−22-20022-2-222−2−2000000002222−2−2−2−22222−2−2−2−222-2-200002-2000022−2−222−2−20000000000000000
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χ312222-2-2-2-220000222-2-2-2-22222−2−2−2−2-2200-2-222−2−222000000002222−2−2−2−2−2−2−2−2222222-2-20000-22000022−2−2−2−2220000000000000000
χ322222-2-2-2-220000222-2-2-2-22222−2−2−2−2-2200-2-222−2−222000000002222−2−2−2−2−2−2−2−22222-2-22200002-20000−2−22222−2−20000000000000000
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χ342222-2-2-2-220000222-2-2-2-2−2−2−2−222222-20022-2-2−2−22200000000−2−2−2−22222−2−2−2−22222-2-2220000-22000022−2−222−2−20000000000000000
χ352222-2-2-2-220000222-2-2-2-2−2−2−2−22222-2200-2-22222−2−200000000−2−2−2−222222222−2−2−2−222-2-20000-220000−2−22222−2−20000000000000000
χ362222-2-2-2-220000222-2-2-2-2−2−2−2−22222-2200-2-22222−2−200000000−2−2−2−222222222−2−2−2−2-2-22200002-2000022−2−2−2−2220000000000000000
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χ4422-2-22-22-2-12-2-22-111-1-11122-2-222-2-20000i3−i3i3−i30000-111i3i3−i3−i3-1-1-111-1-111i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
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χ502-22-2-222-222-22-2-22-2-222-22i−2i2i−2i2i−2i2i−2i00000000000022-20000-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000−2i2i-2200
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χ914-44-4-444-4-24-44-42-222-2-224i−4i4i−4i4i−4i4i−4i000000000000-2-2200002−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ924-44-4-444-4-24-44-42-222-2-22−4i4i−4i4i−4i4i−4i4i000000000000-2-22000022i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ934-44-4-444-4-2-44-442-222-2-220000000000000000000022-20000-200000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000
χ944-44-4-444-4-2-44-442-222-2-220000000000000000000022-20000-2000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000
χ954-4-4444-4-4-2000022-2-22-22−2i22i22i2−2i22i2−2i2−2i22i2004i−4i000022−2222−22000−2i2i−2i2i0i2−i2−i2i2−i2i2i2−i2−22−22−22−2200000000000000000000000000000000000000
χ964-4-4444-4-4-2000022-2-22-22−2i22i22i2−2i22i2−2i2−2i22i200−4i4i0000−2222−22220002i−2i2i−2i0i2−i2−i2i2−i2i2i2−i22−22−22−22−200000000000000000000000000000000000000
χ974-4-4444-4-4-2000022-2-22-222i2−2i2−2i22i2−2i22i22i2−2i2004i−4i0000−2222−2222000−2i2i−2i2i0−i2i2i2−i2i2−i2−i2i22−22−22−22−200000000000000000000000000000000000000
χ984-4-4444-4-4-2000022-2-22-222i2−2i2−2i22i2−2i22i22i2−2i200−4i4i000022−2222−220002i−2i2i−2i0−i2i2i2−i2i2−i2−i2i2−22−22−22−2200000000000000000000000000000000000000
χ994-4-44-4-444-244-4-422-22-22-24i−4i−4i4i4i−4i−4i4i000000000000-22-200002−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ1004-4-44-4-444-244-4-422-22-22-2−4i4i4i−4i−4i4i4i−4i000000000000-22-2000022i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-4-44422-22-22-200000000000000004-4-442-220000-200000000-22-222-22-200000000000000000000000000000000000000
χ1024-4-44-4-444-2-4-44422-22-22-20000000000000000-444-42-220000-2000000002-22-2-22-2200000000000000000000000000000000000000

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