Finite Group Databasebeta

← Group #10847393

Character table — Group #10847393

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order12222222222234444444466666666666888888881212121212121212242424242424242424242424242424244444444444444488888888441212121212121212444424
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
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1
χ911111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-111-1-1111-1
χ1011111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-1-11
χ1111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-1-1-111-1-11111-1-1-11
χ1211111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1111-1-111-1-1-1-1111-1
χ1311111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-11-1-1-1-11111-1-111-11
χ1411111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111-11111-1-1-1-111-1-11-1
χ1511111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-1-1111111-1-11-1
χ1611111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-11-11111-1-1-1-1-1-111-11
χ172222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-2-2-2-2-200000000000000002222000022-2-2-2-2000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000-2-22222000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000022-1-1-1-1-1-1-1-1000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-211111111000000
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000222200000000000000-2-2-1-11111-1-1000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-2-2-2000000000000002211-1-1-1-111000000
χ2322222222-2-2-2-22-2-22222-2-22222222-2-2-2-200000000-2-2-22222-2000000000000000022220000-2-2-2-222000000000000000000000000
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χ2522222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111000022-2-2000000000000002-211-1-111-1-1000000
χ2622222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000-2-22200000000000000-22-1-111-1-111000000
χ2722222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000-221111-1-1-1-1000000
χ2822222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-10000-2-222000000000000002-2-1-1-1-11111000000
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χ432-222-2-2-220000200−2i−2i2i2i00-22-222-2-20000−22−22−i2i2−i2i2000−2i−2i2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i22i−2i2i−2i00000000-22i2−i2i2−i22−22−20000000000000000
χ442-222-2-2-220000200−2i−2i2i2i00-22-222-2-20000−22−22−i2i2−i2i2000−2i−2i2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i000000002-2−i2i2−i2i2−22−220000000000000000
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χ472-2-222-22-222-2-2200000000-2-222-22-222-2-2i2−i2−i2i2i2−i2−i2i200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-2-2200002-20000i2−i2−i2i2i2−i2−i2i20000000000000000
χ482-2-222-22-222-2-2200000000-2-222-22-222-2-2i2−i2−i2i2i2−i2−i2i200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-222-20000-220000−i2i2i2−i2−i2i2i2−i20000000000000000
χ492-2-222-22-2-2-222200000000-2-222-22-2-2-222−i2i2i2−i2i2−i2−i2i200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22-2-220000-220000−i2i2i2−i2i2−i2−i2i20000000000000000
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χ522-2-222-22-2-2-222200000000-2-222-22-2-2-222i2−i2−i2i2−i2i2i2−i200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-222-200002-20000−i2i2i2−i2i2−i2−i2i20000000000000000
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χ944-44-444-4-40000-2440000-4-42-2222-2-2000000000000-22-20000200000000−2323−232323−2323−2300000000000000000000000000000000000000
χ954-44-444-4-40000-2-4-40000442-2222-2-20000000000002-220000-2−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000000000
χ964-44-444-4-40000-2-4-40000442-2222-2-20000000000002-220000-22i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000
χ974-4-444-44-444-4-4-20000000022-2-22-22-2-222−2i22i22i2−2i2−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000000000
χ984-4-444-44-444-4-4-20000000022-2-22-22-2-2222i2−2i2−2i22i22i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000000000
χ994-4-444-44-4-4-444-20000000022-2-22-2222-2-2−2i22i22i2−2i22i2−2i2−2i22i200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000000000
χ1004-4-444-44-4-4-444-20000000022-2-22-2222-2-22i2−2i2−2i22i2−2i22i22i2−2i200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000000000
χ1014-4-4-4-44444-44-4-2-44-44-444-422-22-22-2-22-220000000022-22-22-2-2000000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-44-44-2-444-44-44-422-22-22-22-22-20000000022-2-22-22-2000000000000000000000000000000000000000000000000000000

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