Finite Group Databasebeta

← Group #10732185

Character table — Group #10732185

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122222222222222234444444466666666666666644444444121212121212121212121212121212121212121212121212224444446666121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ172222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ212222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ222222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-11111-1-1-1-11111000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-11111-1-1-1-1000000000000000000000000
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χ2622222-22-2-22-2-2-2-2-222000000002222-2-2-2-2-2-222-2-22000022-2-200000000000000002222-2-2-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2722222-22-2-22-2-2-2-2-222000000002222-2-2-2-2-2-222-2-220000-2-2220000000000000000-2-2-2-222220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
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χ3722-22-2-2-2222-22-22-2-2222-2-222-2-22-22-2-2-22-2-22-2-22220000000022-2-222-2-2000000000000000000000000000000000000000000002i−2i−2i2i00002i2i−2i−2i00000000
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χ552-222-2-222-2-22-2-222-22−2i2i−2i2i−2i2i−2i2i-222-22-2-22-22-222-2-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000002-200−2i2i00002-22-2−2i2i−2i2i0000000000000000000000000000
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χ702-22-22-2-22222-22-2-2-222-22-2-22-22-22-222-2-2-22-2-2-2222000000002-22-2-22-220000000000000000000000000000000000000000−2i2i2i−2i0000−2i2i−2i2i000000000000
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χ722-22-22-2-22222-22-2-2-22-22-222-22-2-22-222-2-2-22-2-2-222200000000-22-222-22-20000000000000000000000000000000000000000−2i2i2i−2i00002i−2i2i−2i000000000000
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χ762-2-2222-22-2-2-2-222-222−2i2i2i−2i−2i2i2i−2i-2-222-22-2-2222-22-2-200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000−2i2i2-20000
χ772-2-2-2-222222-2-2-2-22222-2-22-222-2-2-2-2-2-22-22-2-2222222-2-222-22-22-2-22-222-22-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000
χ782-2-2-2-222222-2-2-2-22222-2-22-222-2-2-2-2-2-22-22-2-222222-222-2-22-222-2-22-222-2-222-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000
χ792-2-2-2-222222-2-2-2-2222-222-22-2-22-2-2-2-2-22-22-2-2222222-2-22-22-22-222-22-2-222-2-222-2-22-222-2-222-2000000000000000000000000000000000000000000000000
χ802-2-2-2-222222-2-2-2-2222-222-22-2-22-2-2-2-2-22-22-2-222222-222-22-22-2-222-22-2-22-222-2-222-22-2-222-2-22000000000000000000000000000000000000000000000000
χ812-2-2-2-222222-2-2-2-222-12-2-22-222-211111-11-111-1-1-1-1-12-2-222-22-2-111-11-1-11-111-1-111-1-111-1-111-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ822-2-2-2-222222-2-2-2-222-12-2-22-222-211111-11-111-1-1-1-1-12-2-222-22-2-111-11-1-11-111-1-111-1-111-1-111-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ832-2-2-2-222222-2-2-2-222-12-2-22-222-211111-11-111-1-1-1-1-1-222-2-22-22-111-11-1-111-1-111-1-111-1-111-1-1100000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ842-2-2-2-222222-2-2-2-222-12-2-22-222-211111-11-111-1-1-1-1-1-222-2-22-22-111-11-1-111-1-111-1-111-1-111-1-1100000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ852-2-2-2-222222-2-2-2-222-1-222-22-2-2211111-11-111-1-1-1-1-12-2-22-22-221-1-11-111-1-111-1-111-11-1-111-1-1100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ862-2-2-2-222222-2-2-2-222-1-222-22-2-2211111-11-111-1-1-1-1-12-2-22-22-221-1-11-111-1-111-1-111-11-1-111-1-1100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ872-2-2-2-222222-2-2-2-222-1-222-22-2-2211111-11-111-1-1-1-1-1-222-22-22-21-1-11-111-11-1-111-1-11-111-1-111-100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ882-2-2-2-222222-2-2-2-222-1-222-22-2-2211111-11-111-1-1-1-1-1-222-22-22-21-1-11-111-11-1-111-1-11-111-1-111-100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ892-2-2-2-2-22-2-222222-22200000000-2-2-2-22-22-22222-2-2200002-2-2200000000000000002-2-22-222-2000000000000000000000000000000002-2-222-2-2200000000
χ902-2-2-2-2-22-2-222222-22200000000-2-2-2-22-22-22222-2-2200002-2-2200000000000000002-2-22-222-200000000000000000000000000000000-222-2-222-200000000
χ912-2-2-2-2-22-2-222222-22200000000-2-2-2-22-22-22222-2-220000-222-20000000000000000-222-22-2-22000000000000000000000000000000002-2-22-222-200000000
χ922-2-2-2-2-22-2-222222-22200000000-2-2-2-22-22-22222-2-220000-222-20000000000000000-222-22-2-2200000000000000000000000000000000-222-22-2-2200000000
χ9344444-44-4-44-4-4-4-4-44-200000000-2-2-2-2222222-2-222-2000044-4-40000000000000000-2-2-2-22222000000000000000000000000000000000000000000000000
χ9444444-44-4-44-4-4-4-4-44-200000000-2-2-2-2222222-2-222-20000-4-44400000000000000002222-2-2-2-2000000000000000000000000000000000000000000000000
χ95444-4-44-44-4-444-4-4-44-24i4i4i4i−4i−4i−4i−4i-2-222-2-2-2222-22-22200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ96444-4-44-44-4-444-4-4-44-2−4i−4i−4i−4i4i4i4i4i-2-222-2-2-2222-22-222000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ97444-4-4-4-4-44-4-4-4444440000000044-4-4-4-4-44444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ98444-4-4-4-4-44-4-4-44444-200000000-2-222222-2-2-2-222-2200000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000000000
χ99444-4-4-4-4-44-4-4-44444-200000000-2-222222-2-2-2-222-220000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000000000
χ10044-44-44-4-4-444-44-44-4-200000000-22-22-2-22-2-222222-24i4i−4i−4i000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000000000
χ10144-44-44-4-4-444-44-44-4-200000000-22-22-2-22-2-222222-2−4i−4i4i4i0000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ10244-44-4-4-4444-44-44-4-4-244-4-444-4-4-22-2222-222-222-2-2-200000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ10344-44-4-4-4444-44-44-4-4-2-4-444-4-444-22-2222-222-222-2-2-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ10444-4-4444-44-44-4-44-4-44000000004-4-4444-4-4-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10544-4-4444-44-44-4-44-4-4-200000000-222-2-2-2222-22-22-220000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000000000
χ10644-4-4444-44-44-4-44-4-4-200000000-222-2-2-2222-22-22-22000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000000000
χ1074-444-444-44-4-444-4-4-4400000000-444-4-444-44-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-444-444-44-4-444-4-4-4-2000000002-2-222-2-22-222-22-2200000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000000000
χ1094-444-444-44-4-444-4-4-4-2000000002-2-222-2-22-222-22-22000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000000000
χ1104-44-444-4-4-44-44-444-4-2000000002-22-22-2-2-22-22222-24i−4i4i−4i000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1114-44-444-4-4-44-44-444-4-2000000002-22-22-2-2-22-22222-2−4i4i−4i4i0000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ1124-44-44-4-44444-44-4-4-4-24-44-4-44-442-22-2-2222-2222-2-2-200000000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000
χ1134-44-44-4-44444-44-4-4-4-2-44-444-44-42-22-2-2222-2222-2-2-2000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4444-44-4-4-4-444-44-24i−4i−4i4i4i−4i−4i4i22-2-22-222-2-2-22-22200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4444-44-4-4-4-444-44-2−4i4i4i−4i−4i4i4i−4i22-2-22-222-2-2-22-222000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1164-4-444-4-4-44-444-4-444400000000-4-4444-444-4-44-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-444-4-4-44-444-4-444-20000000022-2-2-22-2-222-222-22000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1184-4-444-4-4-44-444-4-444-20000000022-2-2-22-2-222-222-220000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-4-44-4-444444-44-2000000002222-22-22-2-2-2-222-200004-4-440000000000000000-222-22-2-22000000000000000000000000000000000000000000000000
χ1204-4-4-4-4-44-4-444444-44-2000000002222-22-22-2-2-2-222-20000-444-400000000000000002-2-22-222-2000000000000000000000000000000000000000000000000

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