Finite Group Databasebeta

← Group #10847371

Character table — Group #10847371

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order122222222222344444444666666666668888888812121212121212122424242424242424242424242424242444442244444444888888884466121212121212224444
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
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1111-1
χ1011111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-11
χ1111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-1-11
χ1211111111-1-1-1-1111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-11-1-111-1-111-1-1111-1
χ1311111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ1411111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-11-1
χ1511111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-11-1
χ1611111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-11111-1-1-1-111-11
χ172222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-2-2-2-2-2000000000000000022220000-2-2-2-222000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222222200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-200002222-2-2000000000000000000000000
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
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000222200000000000000-2-2-1-1-1-11111000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-2-2-200000000000000221111-1-1-1-1000000
χ2322222222-2-2-2-22-2-22222-2-22222222-2-2-2-200000000-2-2-22222-2000000000000000022220000-2-222-2-2000000000000000000000000
χ2422222222-2-2-2-22-2-22222-2-22222222-2-2-2-200000000-2-2-22222-20000000000000000-2-2-2-2000022-2-222000000000000000000000000
χ2522222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111000022-2-2000000000000002-2-1-111-1-111000000
χ2622222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000-2-22200000000000000-2211-1-111-1-1000000
χ2722222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000-22-1-11111-1-1000000
χ2822222222-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-10000-2-222000000000000002-211-1-1-1-111000000
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χ4322-22-22-2-200002-220000-222-2-2-222-20000−2i2i−2i2i0000-2220000-2−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i0000−2i2i0000-22-2200000000000000000000
χ4422-22-22-2-200002-220000-222-2-2-222-20000−2i2i−2i2i0000-2220000-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i00002i−2i00002-22-200000000000000000000
χ4522-2-22-22-200002002i2i−2i−2i002-22-2-2-2200002−2−22−i2i2i2−i20002i2i−2i−2i022−2−2−2−222−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000002-200−i2i2i2−i22−2−220000000000000000
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χ4822-2-22-22-200002002i2i−2i−2i002-22-2-2-220000−222−2i2−i2−i2i20002i2i−2i−2i0−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i000000-2200−i2i2i2−i22−2−220000000000000000
χ4922-2-22-22-20000200−2i−2i2i2i002-22-2-2-2200002−2−22i2−i2−i2i2000−2i−2i2i2i022−2−2−2−222i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000000-2200−i2i2i2−i2−222−20000000000000000
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χ5122-2-22-22-20000200−2i−2i2i2i002-22-2-2-220000−222−2−i2i2i2−i2000−2i−2i2i2i0−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i−2i−2i2i000000-2200i2−i2−i2i22−2−220000000000000000
χ5222-2-22-22-20000200−2i−2i2i2i002-22-2-2-220000−222−2−i2i2i2−i2000−2i−2i2i2i0−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i0000002-200−i2i2i2−i2−222−20000000000000000
χ532-2-2-2-22222-22-222-22-22-2-22-2-2222-2-22-22-20000000022-22-22-2-2000000000000000000002-22-200000000000000002-22-20000000000
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χ924-44-444-4-40000-2440000-4-42-222-22-2000000000000-22-20000200000000−232323−23−232323−2300000000000000000000000000000000000000
χ934-44-444-4-40000-2-4-40000442-222-22-20000000000002-220000-2−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ944-44-444-4-40000-2-4-40000442-222-22-20000000000002-220000-22i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ954-4-444-4-444-4-44400000000-4-4-44-4444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-444-4-444-4-44-200000000222-22-2-2-222-20000000000000000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ974-4-444-4-444-4-44-200000000222-22-2-2-222-20000000000000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ984-4-444-4-44-444-4400000000-4-4-44-444-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-444-4-200000000222-22-2-22-2-220000000000000000i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1004-4-444-4-44-444-4-200000000222-22-2-22-2-220000000000000000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1014-4-4-4-44444-44-4-2-44-44-444-422-2-2-222-22-220000000022-22-22-2-2000000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-44-44-2-444-44-44-422-2-2-2222-22-20000000022-2-22-22-2000000000000000000000000000000000000000000000000000000

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