Finite Group Databasebeta

← Group #10846254

Character table — Group #10846254

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order122222223444466666668888888822446666888812121212121212122424242424242424242424242424242444442244444444888888884466121212121212444424
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-11111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-1111111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111111-1-1-111-1-111-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1111-1-111-1-1-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1-111-1-11111-1-1-11
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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
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χ2322222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000222200000000000000-2-2-1-11111-1-1000000
χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000000000002211-1-1-1-111000000
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χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-22200000000000000-221111-1-1-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000-22-1-111-1-111000000
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χ844-444-4-44-440000-44-444-4-42i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ854-444-4-44-4-200002-22-2-222−2i22i22i2−2i2−2i22i22i2−2i200000000000000023−23−23230i2−i2−i2i2i2−i2−i2i2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ864-444-4-44-4-200002-22-2-222−2i22i22i2−2i2−2i22i22i2−2i2000000000000000−232323−230i2−i2−i2i2i2−i2−i2i2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ874-444-4-44-4-200002-22-2-2222i2−2i2−2i22i22i2−2i2−2i22i200000000000000023−23−23230−i2i2i2−i2−i2i2i2−i2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ884-444-4-44-4-200002-22-2-2222i2−2i2−2i22i22i2−2i2−2i22i2000000000000000−232323−230−i2i2i2−i2−i2i2i2−i2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ894-44-444-4-440000-444-4-44-4−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ904-44-444-4-440000-444-4-44-42i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ914-44-444-4-4-200002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i20000−2i32i32i3−2i3000000000000i2−i2−i2i2−i2i2i2−i2−666−66−6−6600000000000000000000000000000000000000
χ924-44-444-4-4-200002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i200002i3−2i3−2i32i3000000000000i2−i2−i2i2−i2i2i2−i26−6−66−666−600000000000000000000000000000000000000
χ934-44-444-4-4-200002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i20000−2i32i32i3−2i3000000000000−i2i2i2−i2i2−i2−i2i26−6−66−666−600000000000000000000000000000000000000
χ944-44-444-4-4-200002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i200002i3−2i3−2i32i3000000000000−i2i2i2−i2i2−i2−i2i2−666−66−6−6600000000000000000000000000000000000000
χ954-4-444-4-4444-4-44-4-4-4-4444000000000000000000004-440000-4000000000000000000000000000000000000000000000000000000
χ964-4-444-4-44-24-4-442222-2-2-2000000000000−2i32i3−2i32i30000-22-22i3−2i32i3−2i32000000000000000000000000000000000000000000000000000000
χ974-4-444-4-44-24-4-442222-2-2-20000000000002i3−2i32i3−2i30000-22-2−2i32i3−2i32i32000000000000000000000000000000000000000000000000000000
χ984-4-4-4-444444-44-4-4-444-4-440000000000000000000044-40000-4000000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-24-44-422-2-222-200000000000000000000-2-22000020000000023−2323−23−2323−232300000000000000000000000000000000000000
χ1004-4-4-4-4444-24-44-422-2-222-200000000000000000000-2-220000200000000−2323−232323−2323−2300000000000000000000000000000000000000
χ1014-4-4-4-4444-2-44-4422-2-222-24-44-4-44-4400000000000022-20000-2-22-222-22-20000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-44-4422-2-222-2-44-444-44-400000000000022-20000-22-22-2-22-220000000000000000000000000000000000000000000000

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