Finite Group Databasebeta

← Group #72339509

Character table — Group #72339509

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122222222222222444444444444444488888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222222244442244444488888888222222444444444444444444888888888888888888888888888822224444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ1211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ1311111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1711111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ1811111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11-11-11
χ1911111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-1111-1-11-1111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11-11-11
χ2011111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-1111-1-11-1111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-11-111-11-11-11-1
χ2111111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1-111-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-111-11-1-11-11
χ2211111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1-111-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1111-11-1-11-111-11-1
χ2311111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-1-11-111-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-11-11-11-111-11-1
χ2411111-1-1-1-111111-1-111-1-1111-1-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-1-11-111-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-11-11-11-1-11-11
χ2511111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-111111-11-11-111-1-111-1-111-1-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1111-1-111-1-111-1-11
χ2611111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-111111-11-11-111-1-111-1-111-1-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1
χ2711111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-111111-1-11-1111-1-1-1-111-1-1111-1-11-11-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1111-1-11-111-1-111-1
χ2811111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-111111-1-11-1111-1-1-1-111-1-1111-1-11-11-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-111-11-1-111-1-11
χ2911111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-11111-111-1-11-1-11111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11-111-1
χ3011111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-11111-111-1-11-1-11111-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-11-1-11
χ3111111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-11111-11-111-1-1-111-1-11111-1-1-11-111-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-11-1-11
χ3211111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1-11111-11-111-1-1-111-1-11111-1-1-11-111-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-111-1-11-111-1
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χ38222222222-2-2-2-222222-2-22-2-22-2-222-2-222-2-20000-2-20000000022220000-2-200000000-2-2-2-22-22-200000000222200000000000000000000
χ39222222222-2-2-2-222222-2-22-2-22-2-2-2-222-2-22200002200000000-2-2-2-200002200000000-2-2-2-2-22-2200000000222200000000000000000000
χ40222222222-2-2-2-222222-2-22-2-22-2-2-2-222-2-2220000-2-20000000022220000-2-2000000002222-22-2200000000-2-2-2-200000000000000000000
χ41222222222-2-2-2-22-2-2-2-2-2-2-222-2220000000000002200000000-22-220000-2-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ42222222222-2-2-2-22-2-2-2-2-2-2-222-2220000000000002200000000-22-220000-2-2−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ43222222222-2-2-2-22-2-2-2-2-2-2-222-222000000000000-2-2000000002-22-20000222i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
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χ4522222-2-2-2-22222222-2-2-2-2-2-2-22220000000022222-22-2-222-2-222-2-22-2-2-2-2-22000000000000000000000000000000000000000000000000
χ4622222-2-2-2-22222222-2-2-2-2-2-2-22220000000022-2-2-222-2-22-222-2-222-2-2-2222-2000000000000000000000000000000000000000000000000
χ4722222-2-2-2-22222222-2-2-2-2-2-2-222200000000-2-222-22-222-22-2-22-222-222-2-22-2000000000000000000000000000000000000000000000000
χ4822222-2-2-2-22222222-2-2-2-2-2-2-222200000000-2-2-2-22-2-222-2-222-22-2-222222-22000000000000000000000000000000000000000000000000
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χ5022222-2-2-2-2-2-2-2-2222-2-222-2222-2-20000000000002-200000000-222-20000-22−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
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χ5322222-2-2-2-2-2-2-2-22-2-222222-2-2-22222-2-2-2-22200002-200000000-2-22200002-20000000022-2-22-2-2200000000-2-22200000000000000000000
χ5422222-2-2-2-2-2-2-2-22-2-222222-2-2-22222-2-2-2-2220000-220000000022-2-20000-2200000000-2-2222-2-220000000022-2-200000000000000000000
χ5522222-2-2-2-2-2-2-2-22-2-222222-2-2-222-2-22222-2-200002-200000000-2-22200002-200000000-2-222-222-20000000022-2-200000000000000000000
χ5622222-2-2-2-2-2-2-2-22-2-222222-2-2-222-2-22222-2-20000-220000000022-2-20000-220000000022-2-2-222-200000000-2-22200000000000000000000
χ572222-222-2-222-2-2-222222-2-22-2-22-22222-2-2220022000000-2-2-2-200000022000000-2-2-2-20000-2-22-200002222000000000000000000000000
χ582222-222-2-222-2-2-222222-2-22-2-22-22222-2-22200-2-20000002222000000-2-200000022220000-2-22-20000-2-2-2-2000000000000000000000000
χ592222-222-2-222-2-2-222222-2-22-2-22-2-2-2-2-222-2-20022000000-2-2-2-2000000220000002222000022-220000-2-2-2-2000000000000000000000000
χ602222-222-2-222-2-2-222222-2-22-2-22-2-2-2-2-222-2-200-2-20000002222000000-2-2000000-2-2-2-2000022-2200002222000000000000000000000000
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χ652222-222-2-2-2-222-22222-22-2-22-2-2222-2-2-2-2-2-2220000-2-2-2-200000000220000222200000000-2222-2-2-2-20000000000000000000000000000
χ662222-222-2-2-2-222-22222-22-2-22-2-2222-2-2-2-2-2-2-2-20000222200000000-2-20000-2-2-2-200000000-222222220000000000000000000000000000
χ672222-222-2-2-2-222-22222-22-2-22-2-22-2-2222222220000-2-2-2-200000000220000-2-2-2-2000000002-2-2-222220000000000000000000000000000
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χ692222-222-2-2-2-222-2-2-2-2-2-2222-222-2000000002-20000-22-2200000000-22000000002i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ702222-222-2-2-2-222-2-2-2-2-2-2222-222-2000000002-20000-22-2200000000-2200000000−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
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χ792222-2-2-22222-2-2-2-2-222-22-22-22-22-2-2-2-2-2-222002-2000000-2-2220000002-200000022-2-20000222-20000-2-222000000000000000000000000
χ802222-2-2-22222-2-2-2-2-222-22-22-22-22-2-2-2-2-2-22200-2200000022-2-2000000-22000000-2-2220000222-2000022-2-2000000000000000000000000
χ812222-2-2-222-2-222-222-2-22-222-2-2-2200000000220000-222-200000000-2-2000000002i−2i−2i2i−2i2i2i−2i00000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
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χ964-4-440-440000000-44-440000000000-44004-40000000000000000000000000000000000000000000000000000-222-22-2-22000000000000
χ9788-8-80008-8000000000000000004i2−4i2004i2−4i200000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-80008-800000000000000000−4i24i200−4i24i200000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000-88000000000000000004i2−4i200−4i24i200000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8000-8800000000000000000−4i24i2004i2−4i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8800008-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-880000-88-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-800008-8-88800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-80000-888-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-8808-80000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-880-8800000008-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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