Finite Group Databasebeta

← Group #10846278

Character table — Group #10846278

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order122222223444466666668888888844448888121212121212121212121212242424242424242424242424242424244444444422444488888888441212121212121212444422
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-111-1-11111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-1-11111-1-111-1-1-11
χ17222222222-2-2-2-222222220000000022-2-20000-2-22222-2-2-2-2-2-2000000000000000022220000-2-2-2-222000000000000000000000000
χ18222222222-2-2-2-222222220000000022-2-20000-2-22222-2-2-2-2-2-20000000000000000-2-2-2-200002222-2-2000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-200000000000000002222000022-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-20000-2-22222000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000022-1-1-1-1-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-211111111000000
χ2322222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000222200000000000000-2-2-1-1-1-11111000000
χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000-2-2-2-200000000000000221111-1-1-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000022-2-2000000000000002-2-1-111-1-111000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-22200000000000000-2211-1-111-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000-22-1-11111-1-1000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-10000-2-222000000000000002-211-1-1-1-111000000
χ29222-2-2-2-2222-2-2222-22-2-2-22222-2-2-2-2000000002-2000000002-22222-2-2-2-2000000002i2i−2i−2i0000002i−2i002i2i−2i−2i00000000000000000000
χ30222-2-2-2-2222-2-2222-22-2-2-22222-2-2-2-2000000002-2000000002-22222-2-2-2-200000000−2i−2i2i2i000000−2i2i00−2i−2i2i2i00000000000000000000
χ31222-2-2-2-2222-2-2222-22-2-2-2-2-2-2-22222000000002-2000000002-2-2-2-2-22222000000002i2i−2i−2i0000002i−2i00−2i−2i2i2i00000000000000000000
χ32222-2-2-2-2222-2-2222-22-2-2-2-2-2-2-22222000000002-2000000002-2-2-2-2-2222200000000−2i−2i2i2i000000−2i2i002i2i−2i−2i00000000000000000000
χ33222-2-2-2-222-222-222-22-2-2-200000000000022-2-2-2200000000-22000000002222-2-2-2-22i2i−2i−2i000000−2i2i0000002i2i−2i−2i0000000000000000
χ34222-2-2-2-222-222-222-22-2-2-200000000000022-2-2-2200000000-22000000002222-2-2-2-2−2i−2i2i2i0000002i−2i000000−2i−2i2i2i0000000000000000
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χ4122-22-2-22-2200002-2-2-222-2−2−222−2−222002i−2ii2−i2i2−i20000002i2i−2i−2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i22i−2i2i−2i00002-20000i2−i2i2−i2−22−220000000000000000
χ4222-22-2-22-2200002-2-2-222-2−2−222−2−222002i−2ii2−i2i2−i20000002i2i−2i−2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i0000-220000−i2i2−i2i22−22−20000000000000000
χ4322-22-2-22-2200002-2-2-222-2−2−222−2−22200−2i2i−i2i2−i2i2000000−2i−2i2i2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i22i−2i2i−2i0000-220000i2−i2i2−i22−22−20000000000000000
χ4422-22-2-22-2200002-2-2-222-2−2−222−2−22200−2i2i−i2i2−i2i2000000−2i−2i2i2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i00002-20000−i2i2−i2i2−22−220000000000000000
χ4522-2-222-2-2200002-22-2-2-2222−2−2−2−2222i−2i00−i2i2i2−i2002i2i−2i−2i00000022−2−2−2−222−i2−i2i2i2i2i2−i2−i22-2-22000000002i−2i−222−2−i2i2i2−i20000000000000000
χ4622-2-222-2-2200002-22-2-2-2222−2−2−2−2222i−2i00−i2i2i2−i2002i2i−2i−2i00000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2-222-200000000−2i2i2−2−22i2−i2−i2i20000000000000000
χ4722-2-222-2-2200002-22-2-2-2222−2−2−2−222−2i2i00i2−i2−i2i200−2i−2i2i2i00000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22-2-2200000000−2i2i−222−2i2−i2−i2i20000000000000000
χ4822-2-222-2-2200002-22-2-2-2222−2−2−2−222−2i2i00i2−i2−i2i200−2i−2i2i2i00000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2-222-2000000002i−2i2−2−22−i2i2i2−i20000000000000000
χ4922-2-222-2-2200002-22-2-2-22−2−22222−2−22i−2i00i2−i2−i2i2002i2i−2i−2i000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i22-2-22000000002i−2i2−2−22i2−i2−i2i20000000000000000
χ5022-2-222-2-2200002-22-2-2-22−2−22222−2−22i−2i00i2−i2−i2i2002i2i−2i−2i000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2-222-200000000−2i2i−222−2−i2i2i2−i20000000000000000
χ5122-2-222-2-2200002-22-2-2-22−2−22222−2−2−2i2i00−i2i2i2−i200−2i−2i2i2i000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22-2-2200000000−2i2i2−2−22−i2i2i2−i20000000000000000
χ5222-2-222-2-2200002-22-2-2-22−2−22222−2−2−2i2i00−i2i2i2−i200−2i−2i2i2i000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2-222-2000000002i−2i−222−2i2−i2−i2i20000000000000000
χ532-2-22-22-222-22-22-2-2-222-222-22-22-22-200000000-2-200000000222-22-22-22-200000000000000000000000000000000000000002-22-200
χ542-2-22-22-222-22-22-2-2-222-222-22-22-22-200000000-2-200000000222-22-22-22-20000000000000000000000000000000000000000-22-2200
χ552-2-22-22-222-22-22-2-2-222-22-22-22-22-2200000000-2-20000000022-22-22-22-2200000000000000000000000000000000000000002-2-2200
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χ934-44-4-444-4-200002-2222-2-2−222222−2222−22−222200000000000000−2i32i32i3−2i3002−2−22−222−2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ944-44-4-444-4-200002-2222-2-2−222222−2222−22−2222000000000000002i3−2i3−2i32i3002−2−22−222−2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ954-4-44-44-4444-44-4-4-4-444-4400000000000000004400000000-4-4000000000000000000000000000000000000000000000000000000
χ964-4-44-44-44-24-44-4222-2-22-20000000000000000-2-200000000220000000023−2323−23−2323−232300000000000000000000000000000000000000
χ974-4-44-44-44-24-44-4222-2-22-20000000000000000-2-2000000002200000000−2323−232323−2323−2300000000000000000000000000000000000000
χ984-4-44-44-44-2-44-44222-2-22-24-44-44-44-4000000002200000000-2-2-22-22-22-220000000000000000000000000000000000000000000000
χ994-4-44-44-44-2-44-44222-2-22-2-44-44-44-44000000002200000000-2-22-22-22-22-20000000000000000000000000000000000000000000000
χ1004-4-4-44-444444-4-4-4-444-44-400000000000000004-400000000-44000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-444-244-4-422-2-22-220000000000000000-2223−2323−23−2323−23232-2000000000000000000000000000000000000000000000000000000
χ1024-4-4-44-444-244-4-422-2-22-220000000000000000-22−2323−232323−2323−232-2000000000000000000000000000000000000000000000000000000

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