Finite Group Databasebeta

← Group #10846256

Character table — Group #10846256

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order12222222344446666666888888884444888812121212121212121212121224242424242424242424242424242424444422442244448888888824666612121212444444
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-1111111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1-11111-1-111-1-1-11
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χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000000000002211-1-111-1-1000000
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χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-22200000000000000-221111-1-1-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000-22-1-11111-1-1000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000-2-222000000000000002-211-1-1-1-111000000
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χ854-444-4-4-44-200002-22-2-222−2i22i22i2−2i2−2i22i22i2−2i2000000000000−2i32i32i3−2i30000i2−i2−i2i2i2−i2−i2i2−666−6−666−600000000000000000000000000000000000000
χ864-444-4-4-44-200002-22-2-222−2i22i22i2−2i2−2i22i22i2−2i20000000000002i3−2i3−2i32i30000i2−i2−i2i2i2−i2−i2i26−6−666−6−6600000000000000000000000000000000000000
χ874-444-4-4-44-200002-22-2-2222i2−2i2−2i22i22i2−2i2−2i22i2000000000000−2i32i32i3−2i30000−i2i2i2−i2−i2i2i2−i26−6−666−6−6600000000000000000000000000000000000000
χ884-444-4-4-44-200002-22-2-2222i2−2i2−2i22i22i2−2i2−2i22i20000000000002i3−2i3−2i32i30000−i2i2i2−i2−i2i2i2−i2−666−6−666−600000000000000000000000000000000000000
χ894-44-44-44-440000-444-4-44-4−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ904-44-44-44-440000-444-4-44-42i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ914-44-44-44-4-200002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i200000000−2i32i32i3−2i300000000i2−i2−i2i2−i2i2i2−i2−666−66−6−6600000000000000000000000000000000000000
χ924-44-44-44-4-200002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i2000000002i3−2i3−2i32i300000000i2−i2−i2i2−i2i2i2−i26−6−66−666−600000000000000000000000000000000000000
χ934-44-44-44-4-200002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i200000000−2i32i32i3−2i300000000−i2i2i2−i2i2−i2−i2i26−6−66−666−600000000000000000000000000000000000000
χ944-44-44-44-4-200002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i2000000002i3−2i3−2i32i300000000−i2i2i2−i2i2−i2−i2i2−666−66−6−6600000000000000000000000000000000000000
χ954-4-4444-4-444-44-4-4-4-4-444400000000000000000000000044-4-4000000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-24-44-42222-2-2-20000000000000000−2i32i3−2i32i32i3−2i32i3−2i3-2-222000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-24-44-42222-2-2-200000000000000002i3−2i32i3−2i3−2i32i3−2i32i3-2-222000000000000000000000000000000000000000000000000000000
χ984-4-4-4-4444444-4-4-4-444-4-440000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-244-4-422-2-222-2000000000000000000000000-222-200000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000
χ1004-4-4-4-4444-244-4-422-2-222-2000000000000000000000000-222-2000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000
χ1014-4-4-4-4444-2-4-44422-2-222-24-44-4-44-4400000000000000002-2-22-22-222-22-20000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-4-44422-2-222-2-44-444-44-400000000000000002-2-222-22-2-22-220000000000000000000000000000000000000000000000

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