Finite Group Databasebeta

← Group #10732159

Character table — Group #10732159

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order1222222222222222344444444666666666666666444444441212121212121212121212121212121212121212121212124444444412121212121212121212121212121212444444444444444444444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
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
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χ3622222-2-2-2222-2-2-2-2-2-1-2-2-2-22222-1-1-1-1111111-1-1-111-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−333000000000000000000000000
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χ39222-2-222-22-2-222-2-2-220000000022-2-22222-2-22-2-2-2-20000-22-220000000000000000-2-222-2-222000000000000000000000000000022-2-2-2-222000000000000
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χ782-22-222-2-2-22-22-2-222200000000-22-222-22-2-2-2-22-2222-22-20000000000002-22-22-22-2000000000000000000000000000000000000-222-20000-222-200000000
χ792-22-222-2-2-22-22-2-222200000000-22-222-22-2-2-2-22-222-22-22000000000000-22-22-22-220000000000000000000000000000000000002-2-220000-222-200000000
χ802-22-222-2-2-22-22-2-222200000000-22-222-22-2-2-2-22-222-22-22000000000000-22-22-22-22000000000000000000000000000000000000-222-200002-2-2200000000
χ812-22-22-222-22-2-222-2-2200000000-22-22-22-2222-22-2-2-22-2-220000000000002-22-2-22-22000000000000000000000000000000002-2-220000-222-2000000000000
χ822-22-22-222-22-2-222-2-2200000000-22-22-22-2222-22-2-2-22-2-220000000000002-22-2-22-2200000000000000000000000000000000-222-200002-2-22000000000000
χ832-22-22-222-22-2-222-2-2200000000-22-22-22-2222-22-2-2-2-222-2000000000000-22-222-22-2000000000000000000000000000000002-2-2200002-2-22000000000000
χ842-22-22-222-22-2-222-2-2200000000-22-22-22-2222-22-2-2-2-222-2000000000000-22-222-22-200000000000000000000000000000000-222-20000-222-2000000000000
χ852-2-2222-2-22-2-2-2222-222i−2i−2i2i2i−2i−2i2i-2-2222-2-222-22-2-2-22000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000002-2002i−2i00
χ862-2-2222-2-22-2-2-2222-222i−2i−2i2i2i−2i−2i2i-2-2222-2-222-22-2-2-22000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000-2200−2i2i00
χ872-2-2222-2-22-2-2-2222-22−2i2i2i−2i−2i2i2i−2i-2-2222-2-222-22-2-2-2200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000002-200−2i2i00
χ882-2-2222-2-22-2-2-2222-22−2i2i2i−2i−2i2i2i−2i-2-2222-2-222-22-2-2-2200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000-22002i−2i00
χ892-2-222-2222-2-22-2-2-2222i−2i−2i2i−2i2i2i−2i-2-222-222-2-222-2-22-2000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000002i−2i002-2
χ902-2-222-2222-2-22-2-2-2222i−2i−2i2i−2i2i2i−2i-2-222-222-2-222-2-22-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000−2i2i00-22
χ912-2-222-2222-2-22-2-2-222−2i2i2i−2i2i−2i−2i2i-2-222-222-2-222-2-22-200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000002i−2i00-22
χ922-2-222-2222-2-22-2-2-222−2i2i2i−2i2i−2i−2i2i-2-222-222-2-222-2-22-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000−2i2i002-2
χ93444-4-444-44-4-444-4-4-4-200000000-2-222-2-2-2-222-2222200004-44-40000000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ94444-4-444-44-4-444-4-4-4-200000000-2-222-2-2-2-222-222220000-44-44000000000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ95444-4-4-4-444-4-4-4-4444-200000000-2-2222222-2-2-222-2-200004-4-440000000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ96444-4-4-4-444-4-4-4-4444-200000000-2-2222222-2-2-222-2-20000-444-4000000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ9744-4-44444-4-44-4-4-44-44000000004-4-4444-4-4-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9844-4-44444-4-44-4-4-44-4-200000000-222-2-2-2222-222-22-200000000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000000000
χ9944-4-44444-4-44-4-4-44-4-200000000-222-2-2-2222-222-22-2000000000000000000000000−232323−23−232323−23000000000000000000000000000000000000000000000000
χ10044-4-44-4-4-4-4-44444-444000000004-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-44-4-4-4-4-44444-44-200000000-222-222-2-2-2222-2-2200000000000000000000000023−23−2323−232323−23000000000000000000000000000000000000000000000000
χ10244-4-44-4-4-4-4-44444-44-200000000-222-222-2-2-2222-2-22000000000000000000000000−232323−2323−23−2323000000000000000000000000000000000000000000000000
χ1034-444-44-44-4-444-44-4-4-24-44-44-44-42-2-22-22-22-2-222-22200000000-22-22-22-220000000000000000000000000000000000000000000000000000000000000000
χ1044-444-44-44-4-444-44-4-4-2-44-44-44-442-2-22-22-22-2-222-222000000002-22-22-22-20000000000000000000000000000000000000000000000000000000000000000
χ1054-444-4-44-4-4-44-44-444-24-44-4-44-442-2-222-22-22222-2-2-200000000-22-222-22-20000000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-44-4-4-44-44-444-2-44-444-44-42-2-222-22-22222-2-2-2000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000000000
χ1074-44-444-4-4-44-44-4-444-2000000002-22-2-22-22222-22-2-24-44-4000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1084-44-444-4-4-44-44-4-444-2000000002-22-2-22-22222-22-2-2-44-440000000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1094-44-44-444-44-4-444-4-4-2000000002-22-22-22-2-2-22-22224-4-44000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000
χ1104-44-44-444-44-4-444-4-4-2000000002-22-22-22-2-2-22-2222-444-40000000000002-22-2-22-2200000000000000000000000000000000000000000000000000000000
χ1114-4-4444-4-44-4-4-4444-4-24i−4i−4i4i4i−4i−4i4i22-2-2-222-2-22-2222-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1124-4-4444-4-44-4-4-4444-4-2−4i4i4i−4i−4i4i4i−4i22-2-2-222-2-22-2222-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-4444-4-44-4-4-44-24i−4i−4i4i−4i4i4i−4i22-2-22-2-222-2-222-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1144-4-444-4444-4-44-4-4-44-2−4i4i4i−4i4i−4i−4i4i22-2-22-2-222-2-222-22000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-44-44444-44-4-44400000000-4-4-4-44-4-44-444444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-44-44444-44-4-44-2000000002222-222-22-2-2-2-2-220000000000000000−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1174-4-4-4-44-44444-44-4-44-2000000002222-222-22-2-2-2-2-2200000000000000002i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1184-4-4-4-4-44-44444-444-4400000000-4-4-4-4-444-44-4444-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-4-44-44444-444-4-20000000022222-2-22-22-2-2-22-20000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1204-4-4-4-4-44-44444-444-4-20000000022222-2-22-22-2-2-22-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000

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