Finite Group Databasebeta

← Group #6483391

Character table — Group #6483391

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222244444444444444448888888888888888444444444444444444448888888888888888888888882222222244444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-111-11-1-11-11
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1-11-111-11-1
χ1311111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ1411111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-111-1
χ1511111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-1-11-111-11-1-11-111-1
χ1611111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-111-11-1-11-111-11-1-11
χ1711111111-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-1-11-11
χ1811111111-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111-11-1
χ1911111111-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-11-1-1-1-11-11-1
χ2011111111-1-1-1-11-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-11-11
χ2111111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-11-1-111-111-1
χ2211111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-111-111-1-11-1-11
χ2311111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1111-1-11
χ2411111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-111-1
χ2511111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-11111-11-11-1-1-1-1
χ2611111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-11-11-11111
χ2711111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1-1-1-11-111111
χ2811111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111111-11-1-1-1-1-1
χ2911111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-111-1-1-111
χ3011111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1111-1-1111-1-1
χ3111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-111-111-1-1
χ3211111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111-1-11-1-11-1-111
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χ34222222222222-2-2-2-2-222222222-2-2-20000000000000000-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
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χ3722222222-2-2-2-2-222222222-2-2-2-2-2-2-20000000000000000-2-22222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ3822222222-2-2-2-2-222222222-2-2-2-2-2-2-20000000000000000-2-222-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000
χ3922222222-2-2-2-2-22222-2-2-2-22222-2-2-2000000000000000022-2-222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ4022222222-2-2-2-2-22222-2-2-2-22222-2-2-2000000000000000022-2-2-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000
χ4122-2-2-22-2222-2-20000022-2-222-2-20002222−2−2−2−22222−2−2−2−20000002-2002-2002-2002-222−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ4222-2-2-22-2222-2-20000022-2-222-2-20002222−2−2−2−22222−2−2−2−2000000-2200-2200-2200-2222−2−222−2−2−2−222−2−222−2−222−2−2220000000000000000
χ4322-2-2-22-2222-2-20000022-2-222-2-2000−2−2−2−22222−2−2−2−222220000002-2002-2002-2002-2−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ4422-2-2-22-2222-2-20000022-2-222-2-2000−2−2−2−22222−2−2−2−22222000000-2200-2200-2200-22−2−222−2−22222−2−222−2−222−2−222−2−20000000000000000
χ4522-2-2-22-2222-2-200000-2-222-2-2220002222−2−2−2−22222−2−2−2−20000002-2002-200-2200-22−2−222−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ4622-2-2-22-2222-2-200000-2-222-2-2220002222−2−2−2−22222−2−2−2−2000000-2200-22002-2002-2−2−222−2−222−2−222−2−22222−2−222−2−20000000000000000
χ4722-2-2-22-2222-2-200000-2-222-2-222000−2−2−2−22222−2−2−2−222220000002-2002-200-2200-2222−2−222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ4822-2-2-22-2222-2-200000-2-222-2-222000−2−2−2−22222−2−2−2−22222000000-2200-22002-2002-222−2−222−2−222−2−222−2−2−2−222−2−2220000000000000000
χ4922-2-2-22-22-2-2220000022-2-2-2-2220002222−2−2−2−2−2−2−2−222220000002-200-22002-200-2222−2−2−2−22222−2−2−2−22222−2−2−2−2220000000000000000
χ5022-2-2-22-22-2-2220000022-2-2-2-2220002222−2−2−2−2−2−2−2−22222000000-22002-200-22002-222−2−2−2−222−2−22222−2−2−2−22222−2−20000000000000000
χ5122-2-2-22-22-2-2220000022-2-2-2-222000−2−2−2−222222222−2−2−2−20000002-200-22002-200-22−2−22222−2−2−2−22222−2−2−2−22222−2−20000000000000000
χ5222-2-2-22-22-2-2220000022-2-2-2-222000−2−2−2−222222222−2−2−2−2000000-22002-200-22002-2−2−22222−2−222−2−2−2−22222−2−2−2−2220000000000000000
χ5322-2-2-22-22-2-22200000-2-22222-2-20002222−2−2−2−2−2−2−2−222220000002-200-2200-22002-2−2−22222−2−222−2−2−2−222−2−22222−2−20000000000000000
χ5422-2-2-22-22-2-22200000-2-22222-2-20002222−2−2−2−2−2−2−2−22222000000-22002-2002-200-22−2−22222−2−2−2−22222−2−222−2−2−2−2220000000000000000
χ5522-2-2-22-22-2-22200000-2-22222-2-2000−2−2−2−222222222−2−2−2−20000002-200-2200-22002-222−2−2−2−222−2−22222−2−222−2−2−2−2220000000000000000
χ5622-2-2-22-22-2-22200000-2-22222-2-2000−2−2−2−222222222−2−2−2−2000000-22002-2002-200-2222−2−2−2−22222−2−2−2−222−2−22222−2−20000000000000000
χ572-22-2-2-2222-22-2000002-22-22-22-200022−2−222−2−222−2−222−2−200002-2002-2002-2002-2002−22−22−22−22−22−22−22−22−22−22−22−20000000000000000
χ582-22-2-2-2222-22-2000002-22-22-22-200022−2−222−2−222−2−222−2−20000-2200-2200-2200-22002−22−22−22−2−22−22−22−22−22−22−22−220000000000000000
χ592-22-2-2-2222-22-2000002-22-22-22-2000−2−222−2−222−2−222−2−22200002-2002-2002-2002-200−22−22−22−22−22−22−22−22−22−22−22−220000000000000000
χ602-22-2-2-2222-22-2000002-22-22-22-2000−2−222−2−222−2−222−2−2220000-2200-2200-2200-2200−22−22−22−222−22−22−22−22−22−22−22−20000000000000000
χ612-22-2-2-2222-22-200000-22-22-22-2200022−2−222−2−222−2−222−2−200002-2002-200-2200-2200−22−22−22−222−22−22−22−2−22−22−22−220000000000000000
χ622-22-2-2-2222-22-200000-22-22-22-2200022−2−222−2−222−2−222−2−20000-2200-22002-2002-200−22−22−22−22−22−22−22−222−22−22−22−20000000000000000
χ632-22-2-2-2222-22-200000-22-22-22-22000−2−222−2−222−2−222−2−22200002-2002-200-2200-22002−22−22−22−2−22−22−22−222−22−22−22−20000000000000000
χ642-22-2-2-2222-22-200000-22-22-22-22000−2−222−2−222−2−222−2−2220000-2200-22002-2002-2002−22−22−22−22−22−22−22−2−22−22−22−220000000000000000
χ652-22-2-2-222-22-22000002-22-2-22-2200022−2−222−2−2−2−222−2−22200002-200-22002-200-22002−22−2−22−222−22−2−22−222−22−2−22−220000000000000000
χ662-22-2-2-222-22-22000002-22-2-22-2200022−2−222−2−2−2−222−2−2220000-22002-200-22002-2002−22−2−22−22−22−222−22−2−22−222−22−20000000000000000
χ672-22-2-2-222-22-22000002-22-2-22-22000−2−222−2−22222−2−222−2−200002-200-22002-200-2200−22−222−22−2−22−222−22−2−22−222−22−20000000000000000
χ682-22-2-2-222-22-22000002-22-2-22-22000−2−222−2−22222−2−222−2−20000-22002-200-22002-200−22−222−22−22−22−2−22−222−22−2−22−220000000000000000
χ692-22-2-2-222-22-2200000-22-222-22-200022−2−222−2−2−2−222−2−22200002-200-2200-22002-200−22−222−22−22−22−2−22−22−22−222−22−20000000000000000
χ702-22-2-2-222-22-2200000-22-222-22-200022−2−222−2−2−2−222−2−2220000-22002-2002-200-2200−22−222−22−2−22−222−22−22−22−2−22−220000000000000000
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χ722-22-2-2-222-22-2200000-22-222-22-2000−2−222−2−22222−2−222−2−20000-22002-2002-200-22002−22−2−22−222−22−2−22−22−22−222−22−20000000000000000
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χ9544-4-44-44-400000−4i4i−4i4i0000000000022−2222−22−2222−2222−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-44-400000−4i4i−4i4i00000000000−2222−222222−2222−222i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ974-44-444-4-4000004i−4i−4i4i0000000000022−22−222222−22−2222−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ984-44-444-4-4000004i−4i−4i4i00000000000−222222−22−222222−222i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ994-44-444-4-400000−4i4i4i−4i0000000000022−22−222222−22−22222i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1004-44-444-4-400000−4i4i4i−4i00000000000−222222−22−222222−22−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-400004000000000000-44-4000000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-400004000000000000-44-400000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-40000-40000000000004-444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-40000-40000000000004-44-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000

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